text stringlengths 8 1.01M |
|---|
Modify Your Results
An ideal program for struggling students "Glencoe Algebra: Concepts and Applications" covers all the Algebra 1 concepts. This program is designed for students who are challenged by high school mathematics.
Glencoe Algebra: Concepts and Applications includes lessons that will help students prepare for the Texas Essential Knowledge and Skills assessed on the Texas state test. This textbook contains a special section of practice problems specifically for the Texas state testAlgebra: Concepts & Applications, is a comprehensive Algebra 1 program that is available in full and two-volume editions. Algebra: Concepts & Applicationsuses a clean lesson design with many detailed examples and straightforward narration that make Algebra 1 topics inviting and Algebra 1 content understandable. Volume 1 contains Chapters 1-8 ofAlgebra: Concepts & Applicationsplus an initial section called Chapter A. Chapter A includes a pretest, lessonson prerequisite concepts, and a posttest. Designed for students who are challenged by high school mathematics, the 2007 edition has many new features and support components |
Print Book
Key Features
Covers a wide range of subjects including f-expansions, Fuk-Nagaev inequalities and Markov triples.
Provides multiple clearly worked exercises with complete proofs.
Guides readers through examples so they can understand and write research papers independently.
Description
Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts, methodology and fundamental results of probability theory. Exercises are included throughout the text, not just at the end, to teach each concept fully as it is explained, including presentations of interesting extensions of the theory. The complete and detailed nature of the book makes it ideal as a reference book or for self-study in probability and related fields.
Readership
Students and researchers in probability theory, topology, measure theory, real and functional analysis and related fields.
Quotes and reviews
"This monograph is a self-contained and compactly written text book on probability theory for graduate students…the textbook gives a rigorous…presentation of the fundamental results in probability theory with an emphasis on the interaction between analysis and probability."--Zentralblatt MATH, 1278.60002
"Spataru presents a probability theory text for graduate students who have a solid background in abstract analysis, which is required because he develops probability theory from a measure-theoretic perspective."--Reference & Research Book News, October 2013 |
Buy Lesson Study: A Japanese Approach To Improving Mathematics Teaching and Learning by Fernandez, Clea and Read this Book on Kobo's Free Apps. Discover Kobo's Vast Collection of Ebooks Today - Over 3 Million Titles, Including 2 Million Free Ones!
This Teaching Notes and Solutions Manual accompanies Singapore Math's sold-separately Discovering Mathematics Textbook 7A, Common Core Edition. It contains one page of teaching notes for each chapter, with a paragraph for each concept and an overall suggested approach. Class Activities are included from the student text with answer and objectives. Fully-worked solutions for all questions and problems in the textbook are included. 174 pages, softcover.
Click Here. Double your traffic. Get Vendio Gallery - Now FREE! You Are Bidding On New Prentice Hall Student Express Mathematics Geometry (3 CD-ROM SET)Shipping in U.S.A, to Canada and Some European Countries (Please Check With Me First For Rates). Pay Pal and E Check Payments. Email me with any questions I respond vary fast. Don't miss out on this nice CD-ROM SET. Please check out my other listings for great deals. Please pay within 3 days auction is over. BUY WITH CONFIDENCE !! PLEASE CHECK M
Free Delivery Worldwide : Essential Mathematics for Cambridge IGCSE Student Book : Paperback : Oxford University Press : 9780199128747 : 019912874X : 02 Feb 2012 : Written by an examiner to exactly match the 0580 syllabus, this text gives you a sequential and logical teaching path through the full syllabus, addressing the four curriculum areas. A full set of solutions, exam practice and worked examples encourage active learning, and a CD offers dynamic material for every section of the book.
Store Search search Title, ISBN and Author Teaching Mathematics in Primary Schools by Robyn Jorgensen, Shelley Dole Estimated delivery 3-12 business days Format Paperback Condition Brand New A systematic, research-based introduction to the principles and practice of teaching mathematics at primary school level. This second edition includes new material on middle years, and on numeracy, early numbers and fractions. Publisher Description Teaching Mathematics in Primary Schools moves beyond tradit
Free Delivery Worldwide : About Teaching Mathematics : Paperback : Math Solutions Publications : 9780941355766 : 0941355764 : 04 Sep 2007 : Marilyn Burns? signature resource continues to be at the forefront of current trends and practices for improving the teaching and learning of mathematics. Supporting a student- centered, problem-solving approach proven by research to best develop students? thinking and reasoning of mathematics, Marilyn presents invaluable insights in a standards- driven, practical, and accessible manner. This essential resource includes more than 240 classroom-tested activities and presents the content and pedagogy...
Free Delivery Worldwide : Teaching Mathematics : Paperback : Oxford University Press Australia : 9780195568455 : 0195568451 : 12 Jan 2012 : Teaching Mathematics: Foundations to Middle Years connects teacher education students to the bigger picture of mathematics. It shows them how to communicate mathematically, feel positive about mathematics and their role in teaching it and to enter the classroom confident they are equipped with the practical knowledge, skills, strategies and activities to teach mathematics at any level of school. The text contains a rich set of pedagogy to assist understanding and teaching. These include: Vignettes...
Give students an introduction to American history and social studies with BJU Press' Heritage Studies 2 curriculum. Presenting history as God's redemptive plan this book covers civics, culture, economics, geography, government, and history. It emphasizes US history from Native Americans to the founding of an independent nation, and looks at colonial life, politics, famous people, early wars and more. Colorful illustrations, charts, maps, and photographs help students visualize the world of colonial America as well as modern-day government and civics. Comprehension questions are integrated throughout the text. 222 pages, indexed, softcover. Non consumable. This resource is also known as Bob Jones Heritage Studies Grade 2 Student Text, 3rd Edition.
Free Delivery Worldwide : Understanding and Teaching Primary Mathematics : Paperback : Taylor & Francis Ltd : 9781447929994 : 1447929993 : 04 Dec 2013 : How would you teach the concept of odd and even numbers to a child?What is the probability of throwing a three on a six-sided die?How could you help a child who is confusing ratio and proportion?By seamlessly combining subject knowledge and pedagogy, the second edition of Understanding and Teaching Primary Mathematics will not only build your own confidence in mathematics, but also equip you with the curriculum understanding and pedagogical know-how to excel at teaching maths to children of any ...
Features: This practical, easy-to-use self-study course is perfect for pianists, guitarists, instrumentalists, vocalists, songwriters, arrangers and composers, and includes ear training CDs to help develop your musical ear. In this all-in-one theory course, you will learn the essentials of music through 75 concise lessons, practice your music reading and writing skills in the exercises, improve your listening skills with the enclosed ear training CDs, and test your knowledge with a review that completes each of the 18 units. Answers are included in the back of the book for all exercises, ear training and review. Table of Contents: Publisher: Alfred Composer: Surmani and Manus Catalog Number: 23194 Pages: 152
Free Delivery Worldwide : Evolution : Paperback : Roberts & Company Publishers : 9781936221363 : 1936221365 : 01 Oct 2012 : Science writer Carl Zimmer and evolutionary biologist Douglas Emlen have teamed up to write a textbook intended for biology majors that will inspire students while delivering a solid foundation in evolutionary biology. Zimmer brings the same story-telling skills he displayed in The Tangled Bank, his 2009 non-majors textbook that the Quarterly Review of Biology called spectacularly successful. Emlen, an award-winning evolutionary biologist at the University of Montana, has infused Evolution: Making Sense of Life with the technical rigor and conceptual depth that today's biology majors require. Students will learn the fundamental concepts of evolutionary theory, such...
Less
$34.54
eBayHandbook Of Mathematics For Engineers And Engineering Students By Paperback
Free Shipping
/handbook-of-mathematics/vepW7a2W-xB1ulL9raFQyg==/info
eBay
Buy it new & now! with eBay Buyer Protection
(
In stock
)
Free Shipping
Store Search search Title, ISBN and Author Handbook of Mathematics for Engineers and Engineering StudentsBuy Toward a Visually- Oriented School Mathematics Curriculum by Ferdinand Rivera and Read this Book on Kobo's Free Apps. Discover Kobo's Vast Collection of Ebooks Today - Over 3 Million Titles, Including 2 Million Free Ones!
Free Delivery Worldwide : Key Ideas in Teaching Mathematics : Paperback : Oxford University Press : 9780199665518 : 0199665516 : 14 Mar 2013 : International research is used to inform teachers and others about how students learn key ideas in higher school mathematics, what the common problems are, and the strengths and pitfalls of different teaching approaches. An associated website, hosted by the Nuffield Foundation, gives summaries of main ideas and access to sample classroom tasks.
Buy Mathematics Teaching in the Early Years by Carol Aubrey |
Subject: Mathematics (9 - 12) Title: Zero Product Property Description: The zero product property allows you to solve a quadratic equation by converting it into two linear equations. This is a common strategy of algebra- to break down a problem into simpler parts, each solved by previously learned methods.
Subject: Mathematics (9 - 12) Title: Discover the Roots of a Polynomial Function Description: In this lesson, students will be re-introduced to the Four Step Problem - Solving Plan. The plan will be used as a 'checks and balance' tool for discovering the roots (solutions) of polynomial functions. Students will:
*Explore the problem - identify what is given and what they are asked to find.
*Develop a plan - look for a pattern, make a model, solve a simpler but related problem.
*Solve the problem - carry out the plan
*Examine the solution - check the results with the conditions in the problem, check the reasonableness of the solution
Subject: Mathematics (9 - 12) Title: Now, where did THAT come from? Deriving the Quadratic Formula Description:
Generally, teachers expect students to memorize the quadratic formula and to know that you use it after exhausting all other means of solving a quadratic equation, i.e. as a last resort. This technology-based lesson is designed to assist students with deriving the formula on their own. Students must first be familiar with complex numbers and the process of "completing the square."
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project. Subject: Mathematics (9 - 12), or Technology Education (9 - 12) Title: Family Ties: Parabolas Description: This lesson allows students to manipulate the parameters while using the vertex form of the equation of a parabola to see the effects on the graph. The spreadsheet can be altered for other functions.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project. Subject: Mathematics (9 - 12) Title: "Factoring by Mack" Description: This strategy for factoring trinomials will eliminate the trial-and-error method used in most textbooks.The lesson will be a direct teaching lesson. With the teacher lecturing and the students taking notes and then having the students break up into groups to solve sample problems.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation. Subject: Mathematics (9 - 12) Title: Classifying Complex Numbers Description: This lesson helps students distinguish between strictly complex numbers, strictly real numbers and strictly imaginary numbers while learning that real numbers and imaginary numbers are subsets of the set of complex numbers. |
The Mathematics VSB Course will discuss topics in Algebra. The first lesson will lay the groundwork for all succeeding lessons, by familiarizing the user with definitions and notations that will be used throughout the course |
...Math Solver is a scientific calculator. Math Solver includes a step-by-step solution for any mathematical expression, to make work/homework more fun and easy. Also includes a Simple Mode, for smaller s...
...-...
...Award-winning Windows calculator that includes nearly every feature imaginable, including a scrolling tape that automatically recalculates when you edit it. You can set Judy's TenKey to behave like a standard calculator, an addin... |
Each component of a vector in Rn indicates a distance along one of the coordinate axes. This practice of dissecting a vector into directional components is an important one. In particular, it leads to the "least squares" method of fitting curves to collections of data. This unit also introduces matrix eigenvalues and eigenvectors. Many calculations become simpler when working with a basis of eigenvectors.
The determinant of a matrix is a number characterizing that matrix. This value is useful for determining whether a matrix is singular, computing its inverse, and more |
Microsoft Mathematics 4.0 (64-bit)
By Mark Wilson | 02 February 11
Windows has included a calculator for many years now, and for basic day to day calculations it functions well. For more advanced calculation, you have the option of switching to scientific mode, but there are circumstances in which even this can be somewhat underpowered.
Microsoft Mathematics is a surprisingly power calculator that in many ways functions like a traditional handheld calculator. It features a graphing option that can be used to visualise equations in mathematics and science.
This is much more than a basic scientific calculator - Microsoft Mathematics also includes a unit conversion utility and can be used to calculate calculus, algebra and trigonometry. When working with equations, the option to generate 2- and 3D graphs is immensely useful.
The program includes a step-by-step equation solver that will not only help you to break down an equation or problem and work through it gradually, but also to gain a better understanding of the principles as work. With a packed functions and equations library as well as a triangle solver, this is a great addition to any students set of |
Math for Nurses by Schaums Outlines
1270
Practice Questions
4
Quizzes
100
Lessons
391
Flashcards
Overview
From dosages based on body surface area, to finding the percentage strength of solutions, Math for Nurses by Schaum's Outlines is a comprehensive resource for all nursing students. Featuring an enormous amount of material in 1,622 practice questions, 4 mini-tests and 391 flashcards - Schaum's Outlines' Math for Nurses includes every mathematical situation nurses might encounter.
Topics Covered
Topics and concepts covered in Math for Nurses by Schaums Outlines
Whole Number Arithmetic
Number
The Base Ten System
Reading Numerals
Expanded Form
The Fundamental Operations
Order of Operations (For Addition and Multiplication)
Addition of Whole Numbers
Subtraction of Whole Numbers
Multiplication of Whole Numbers
Division of Whole Numbers
Divisors and Prime Numbers
The Greatest Common Divisor (GCD)
The Least Common Multiple (LCM)
Working with Fractions
The Meaning of Fractions
Equivalent Fractions
Reducing Fractions
Building Up Fractions
Multiplication of Fractions
Division of Fractions
Complex Fractions
Addition and Subtraction of Fractions with a Common Denominator
The Least Common Denominator (LCD)
Addition and Subtraction of Fraction with Different Denominators
Mixed Numbers
Calculations with Mixed Numbers
Comparing Fractions
Decimal Numerals
Decimal Notation
Rounding Decimal Numerals
Addition and Subtraction of Decimals
Multiplication of Decimals
Division of Decimals
Multiplying and Dividing by Powers of Ten
Problems Involving Decimals and Fractions
Comparing Decimal Numerals
Metric, Apothecary, and Household Measurements-Dimensional Analysis
Weight and Volume
The Metric System
The Apothecary System
Roman Numerals
The Household System
Ratios
Dimensional Analysis
Metric Conversions
Oral Medication
Converting Medical Dosages
Oral Medication in Solid Form
Oral Medication in Liquid Form
Reconstituting Powders or Crystals to Liquid Form
Parenteral Drug Administration
Drugs Administered by Injection
Injectables in Powder or Crystal Form
Intravenous Infusion
Insulin Administration
Pediatric Dosages
Dosages Based on Body Weight
Dosages Based on Body Surface Area
Percentages
Percentage
Changing Percentages to Equivalent Fractions
Changing Percentages to Equivalent Decimal Numerals
Changing Decimal Numerals to Equivalent Percentages
Changing Fractions to Equivalent Percentages
Percentage of a Number
Finding the Percentage Given the Part and the Base
Finding the Part Given the Percentage and the Base
Finding the Base Given the Percentage and the Base Part
Percentage Strength of Solutions
Using the Electronic Calculator
Calculators for Nursing
Elementary Calculations
Extended Calculations
Working with Fractions on the Calculator
Dosage Calculations
The Percent Key
Statistics for Nurses
Statistics for Nursing
Bar Charts and Pie Charts for Categorical Data
Histograms and Dot Plots for Numerical Data
Numericals Measures for Describing Numerical Data
Properties of Probability and the Binomial Distribution
The Normal Distribution
Population and Sample
Estimating Population Means and Percentages
Testing Hypotheses About Means and Population Percentages
Solved Examples
Example 1
Example 2
Example 3
Example 4
Example 5
Temperature Conversions
Temperature Conversions
Examples
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11
Example 12
Example 13
Example 14
Example 15
Example 16These NLN PAX-RN practice exams will help you prepare for test day! You'll be ready to conquer word knowledge and reading comprehension questions, as well as the math and science portions of the exam.
Learn more |
College Algebra Demystified
Book Description: A BETTER WAY TO COLLEGE ALGEBRA X-PERTISE One of the most valuable tools acquired in a university education, college algebra is essential for courses from the sciences to computing, engineering to mathematics. It can help you do better on placement exams, even before college, and it's useful in solving the computations of daily life. Now anyone with an interest in college algebra can master it. In College Algebra Demystified, entertaining author and experienced teacher Rhonda Huettenmueller breaks college algebra down into manageable bites with practical examples, real data, and a new approach that banishes algebra's mystery. With College Algebra Demystified, you master the subject one simple step at a time—at your own speed. Unlike most books on college algebra, general concepts are presented first—and the details follow. In order to make the process as clear and simple as possible, long computations are presented in a logical, layered progression with just one execution per step. This fast and easy self-teaching course will help you: Perform better on placement exams Avoid confusion with detailed examples and solutions that help you every step of the way Conquer the coordinate plane, lines and intercepts, parabolas, and nonlinear equations Get comfortable with functions, graphs of functions, logarithms, exponents, and more Master aspects of algebra that will help you with calculus, geometry, trigonometry, physics, chemistry, computing, and engineering Reinforce learning and pinpoint weaknesses with questions at the end of every chapter, and a final at the end of the book |
Secondary Solutions
Is your current curriculum adapting to each student's exact needs? Our software solutions do just that.
Students develop, learn, and master secondary mathematics at different paces, and educators often need to identify supplemental materials that complement their core instruction with the aim to keep students from falling behind or failing a course or exit exam.
All students can achieve proficiency in mathematics with Carnegie Learning Adaptive Math Software Solutions. Our unique solution provides students with highly individualized and self-paced instruction that meets their exact needs to improve their secondary math skills. |
More About
This Textbook
Overview
The Barnett, Ziegler, Byleen, and Sobecki College Algebra series is designed to be user friendly and to maximize student comprehension by emphasizing computational skills, ideas, and problem solving as opposed to mathematical theory. Suitable for either one or two semester college algebra with trigonometry or precalculus courses, Precalculus introduces a unit circle approach to trigonometry and includes a chapter on limits to provide students with a solid foundation for calculus concepts.
The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A MathZone site featuring algorithmic exercises, videos, and other resources |
This algebra unit from illuminations provides an in depth exploration of exponential models in context. The model of light passing through water is used to demonstrate exponential functions and related mathematical...
This interdisciplinary lesson ties earth science concepts in with algebra. The forest-fire danger rating index is applied to a mathematical model. Students will learn real-world meaning of the intercepts and slope in...
This collection, created by Salman Khan of the Khan Academy, features videos on geometry. A basic understanding of Algebra I necessary to understand the fundamental elements featured in this collection. Altogether, the...
This lesson plan has students create a confidence interval based on the historic snowfall records of a town in Ohio, the data for which is available online. The class will calculate the mean and standard deviation,...
How financial institutions use the monthly mortgage payment and mortgage amortization formulas can be a confusing concept to grasp. This lesson asks students to find a current interest mortgage rate for their city and... |
865See below for information about part time tuition fee loans available for study towards a qualification.985There is no real number whose square is –1, but mathematicians long ago invented a system of numbers, called complex numbers, in which the square root of –1 does exist. These complex numbers can be thought of as points in a plane, in which the arithmetic of complex numbers can be pictured. When the ideas of calculus are applied to functions of a complex variable a powerful and elegant theory emerges, known as complex analysis.
The texts have many worked examples, problems and exercises (all with full solutions), and there is a module handbook that includes reference material, the main results and an index. These texts are supported by CDs that teach complex analysis techniques, while another CD presents a discussion of the central role of complex analysis in mathematics. A DVD uses computer graphics to demonstrate many geometric properties of complex functions.
Entry
This is a Level 3 module. Level 3 modules build on study skills and subject knowledge acquired from studies at Levels 1 and 2. They are intended only for students who have recent experience of higher education in a related subject, preferably with the OU.
There is a diagnostic quiz that will help you to determine whether you are adequately prepared for this module. Your regional centre will also be able to tell you where you can see reference copies of the module units.
Preparatory work
There is no formal preparatory work, but you should revise your algebraic skills, and differential and integral calculus, before the module begins.
Regulations
As a student of The Open University, you should be aware of the content of the Module Regulations and the Student Regulations which are
available on our Essential documents website.
If you have a disability
The module should present no special difficulties, though it does include a lot of diagrams. The study materials are available on audio in DAISY Digital Talking Book format and there are transcripts of the module audio-visual materialModule books, CDs, DVD.
You will need
CD player and DVD player (or computer able to play DVDs). A scientific calculator would be useful but is not essential.
You require access to the internet at least once a week during the module to download module resources and assignments, and to keep up to date with module news mark and comment on your written work, and whom you can ask for advice and guidance. We may also be able to offer group tutorials or day schools that you are encouraged, but not obliged, to attend. Where your tutorials are held will depend on the distribution of students taking the module.
Students also studied
How to register
To register a place on this course return to the top of the page and use the Click to register button.
Student Reviews
"Everybody commenting on this course seems to love it so I'm about to go against the grain here.
This was ..."
Read more
"This is an excellent rigorous course. The material is well presented often with a geometric flavour. Basic concepts are presented |
Mathematical Difficulties: Psychology and Intervention (Educational Psychology)Ann Dowker, Gary D. Phye | Academic Press | 3133-19-39 | 393 pages | English | PDFThis book examines the mathematical difficulties in typical and atypical populations. It discusses the behavioural, educational and neuropsychological characteristics of people with mathematical difficulties, and educational interventions to prevent, diagnose, treat or ameliorate such difficulties. The book brings together studies from different disciplines, including developmental psychology, neuroscience and education, and includes perspectives from practicing teachers.The book is divided into three major sections. The first includes chapters about the nature and characteristics of mathematical difficulties in the population as a whole, in relation to both psychology and education. The second deals with mathematical difficulties in children with other problems such as specific language impairment and dyslexia. The third discusses methods of interventions aimed at preventing, treating or ameliorating mathematical difficulties, and will include discussions of assessment and diagnosis.Download No Mirrors below, please! Follow Rules! **** |
Mathematics is the foundation of physics. The level of
mathematics necessary to comprehend the technical, problem solving aspect
of physics varies and is dependent upon the level at which a "student"
is pursuing the subject. Concepts in physics can be studied and investigated
in a non technical, non mathematical approach, where, at most, arithmetic
is used. This is the level at which a child or adult who has a curiosity
about the science, but no background knowledge would be expected to start.
At the high school level a basic knowledge of algebra is expected
for the student in a typical first course. The small amount of
geometry and trigonometry that might be necessary in a high school course
can be taught in the course as they are needed. A more advanced high
school course such as what is often called an honors level physics course
would usually require algebra, geometry, and either concurrent enrollment
in or successful completion of trigonometry as prerequisites for the course.
High School Physics courses are generally divided into two categories.
These are the advanced placement, Calculus based physics course, and the
Algebra based physics course. The student who is planning to major in physics
or engineering will want to enroll in the calculus based physics course,
other students who want to learn about physics, but do not intend to major
in phyiscs related subjects will find the algebra based physics to be the
route to go.
Math Review Topics: The following is a list of six (6) categories
of basic math skills (with instructional information) recommended for anyone
interested in studying physics.
In an equation such as a = b / c being able to solve
for a, b, or c correctly is extremely important. The most common
mistake in this situation is thinking that the solution in the case of
solving for c is not recognizing that c = b / a . Way
too often students think that the value for c is equal to a
/ b. The most basic rule for solving algebraic equations of
any size or complexity is that:
"You must always do the same thing to both sides of an equation,
regardless of what operation you are applying."
When a student thinks that c = a / b in the above
equation rather than c = b / a, it is because they
did NOT apply this rule.
To begin consider the ratio and proportion equation a / b
= c / d.
Step 1. When solving for any variable in this type of equation first
cross multiply.
This means that a is multiplied times d, and b
is multiplied times c.
This yields a d = b c
Step 2. To solve for any one of the four variables, the variable being
solved for must be isolated by the use of division.
For Example, if the variable being solved for was d, both sides
of the equation would be divided by a.
This yields d = b c / a
As a similar example, consider the following.
The equation a = b / c can be solved for c
by the following two steps.
Step 1. Multiply both sides of the equation by c
This yields c a = c b / c
This simplifies to c a = b
Step 2. Divide both sides of this equation by c
This yields c a / c = b / c
This simplifies to a = b / c
Thus solving for c in the expression (equation) a
= b / c
results in the expression (equation) c = b / a
[Note: For convenience a could be written over 1, as in
a / 1 = b / c, and c could be solved
for using a ratio and proportion approach.]
Additional examples of solving for variables:
As stated above the most important rule to focus on in solving any equation
is to avoid destroying an equality by doing some operation to one side
that you do not do to the other side.
To see the significance of this statement look at the following examples.
Example 1: solve for "v" in the equation v = d / t
The "d" is a numerator (a value in the top of a fraction)
The "t" is a denominator (a value in the bottom of a fraction)
The "v" is equal to "d" divided by "t"
Example 2: solve for "d" in the equation v = d / t
The "d" is a numerator
The "t" is a denominator
"v" is equal to "d" divided by "t"
"d" can be solved for by multiplying both sides by "t"
This gives us v t = d or d = v t
Example 3: solve for t in the equation v = d / t
The "d" is a numerator
The "t" is a denominator
The "v" is equal to "d" divided by "t"
"t" can be solved for by
1st multiplying both sides by "t" which gives
v t = d
2nd dividing both sides by "v" which gives
t = d / v
The second rule is to be patient when solving equations which will require
that you use several steps.
Example 4: Solve for "t" in the equation v(f) = v(i) + at
There are no fractions here but there is an addition
of unlike variables on the right side of the equation.
"t" can be solved for by
1st subtracting "v(i)" from both sides which gives
v(f) - v(i) = at
2nd divide both sides by "a" which gives
a = v(f) - v(i) / a = t
This form of notation is a way of writing numbers using exponents to
show how large or small a number is in terms of powers of ten.
Powers of ten are a means of writing what we might think of as everyday
numbers as powers of ten such as 234 = 2.34 x 10^2, which can be read as
two point three four times ten raised to the second power or ten squared.
The powers of ten will be written using the "carrot" symbol to indicate
the exponent of the power of ten, as in one time ten to the third power
is written as 1 x 10^3.
The numbers must be written according to a simple rule. The none power
of ten portion of the number may only have
one digit before the decimal. i.e. 22.65 x 10^3 would be incorrect
while 2.265 x 10^4 is correct
314 = 3.14 x 10^2
7,183 = 7.183 x 10^3
230,100 = 2.301 x 10^5
0.0204 = 2.04 x 10^-2
0.0004607 = 4.067 x 10^-4
0.00000198 = 1.98 x 10^-6
Example 3: Converting from scientific notation
6.9702 x 10^5 = 69,702
4.599 x 10^3 = 4,599
2.0023 x 10^1 = 20.023
4.205 x 10^-2 = 0.04205
7.45 x 10^-4 = 0.000745
3.97 x 10^-5 = 0.0000397
1-3 Adding and Subtracting in Scientific Notation
Though calculators can do this for us, it is always important to see
the math process behind the operation.
The fundamental rule when adding and subtracting numbers in scientific
notation (exponential notation) is to be sure that the powers of ten for
each number being added (or subtracted) is the same.
- - - - - - - - - -
Adding numbers in scientific notation
Add the two numbers 4.55 x 10^2 plus 3.77 x 10^3
1st change one of the values so that it has the same power of
ten
i.e. 0.455 x 10^3 plus 3.77 x 10^3
2nd add the none exponent values 0.455 + 3.77 = 4.225
3rd write the sum followed by the power of ten
Answer: 4.225 x 10^3
Example 2: Subtracting numbers in scientific notation
Subtract the two numbers 7.65 x 10^4 minus 4.32 x 10^3
1st change one of the values so that it has the same power of
ten
i.e. 7.65 x 10^4 minus 0.432 x 10^4
2nd subtract the none exponent values 7.65 - 0.432 = 7.218
3rd write the difference followed by the power of ten
Answer: 7.218 x 10^4
- - - - - - - - - -
Multiplying and Dividing in Scientific Notation
Though calculators can do this for us, it is always important to see
the math process behind the operation.
The process of multiplying and dividing numbers written in scientific
notation involves focusing on the exponents themselves. In the process
of multiplication the exponents are added while in the process of division
the exponents are
subtracted.
The metric system was developed around 1775 by French scientists. It
is convenient to use because its units are related by powers of ten. A
standardized system now exists worldwide. It is referred to as the International
System (SI) of weights and measures.
Traditionally in the study of physics, two systems of measure have been
used. They are referred to as the MKS and the CGS systems.
* Units of measure are divided into two categories called the Fundamental
unit and the Derived Unit.
Fundamental Unit: These are units of measure obtained directly from
measurement observations using SI units and cannot be obtained indirectly
from any simpler or more basic units of measure. Mass, length, and time
are examples of fundamental units.
Derived Unit: These are units of measure which may be able to be observed
through direct measurement (i.e. volume can be observed directly by visibly
observing the reading off of the side of a graduate cylinder.), but also
can be obtained by derivation using simpler fundamental units of measure.
As an example consider that volume can be obtained from length by the formula
V = L x W x H.
Example: Length of course is a length measurement (L), but so are width
(W) and height (H) length measurements simply oriented in different directions.
And it follows then that volume, which is a multiplication product of the
three, is derived from length.
- - - - - - - - - - - - -
Metric Prefixes - Units of Measure
Prefix Symbol Fractional Equivalent Example (using the meter)
Kilo K 1000 x base unit kilometer (Km)
hecto h 100 x base unit hectometer (hm)
deka da 10 x base unit dekameter (dam)
___ ___ 1 x base unit meter (m)
deci d 1/10 x base unit decimeter (dm)
centi c 1/100 x base unit centimeter (cm)
milli m 1/1000 x base unit millimeter (mm)
- - - - - - - - - - - - -
Additional Units:
Prefix (Symbol) Fractional Equivalent Example (using the meter)
giga (G) 1 x 10^9 x base unit gigameter (Gm)
mega (M) 1 x 10^6 x base unit megameter (Mm)
micro (m *) 1/1 x 10^-6 x base unit micrometer
(mm *)
nano (n) 1/1 x 10^-9 x base unit nanometer (nm)
pico (p) 1/1 x 10^-12 x base unit picometer (pm)
* This is the Greek letter mu and not the English letter u.
- - - - - - - - - - - - -
Common Metric - English Equivalents:
1 m = 39.37 in 1 cm = 0.394 in 1 in = 2.54 cm
1 kg = 2.21 lb 1 lb = 454 g 1 L = 1.057 qt
1 oz = 28.4 g 1 in^3 = 16.5 cm^3 1 gal = 3.78 L
1-8 Metric Conversion - Metric Sliding Scale Model
- - - - - - - - - - - - -
Conversions between metric units:
The metric system is very easily manipulated as can be seen by the following
two examples. Converting between two units of the same category of measurement
can be done simply by moving the position of the decimal place at the same
time the prefix is changed. As the unit of measure is increased the
decimal is moved to the left making the numerical value smaller proportionally.
As the unit of measure is decreased the decimal is moved to the right making
the numerical value larger proportionally. Look at the following two examples
of this concept.
Example 1: Consider the measurement 2.5 m and the variations of
the same length measurement expressed in other metric units of length.
km
hm
dam b. u.*
dm cm
mm
0.0025 0.025
0.25 2.5
25.0 250.
2,500.
*b. u. is the base unit of the category of measurement. In this
case the unit is the meter.
Example 2: Consider the measurement 4,200 m and the variations
of the same length measurement expressed in other metric units of length.
Student who study doing conversions between units within a measurement
system such as Meteric to Metric or between measuring systems such as the
Metric to English and English to Metric conversions usually can handle
conversion factors that are one dimensional. However, a problem often
arises when conversion factors are needed for two and three dimensional
problems. The following information compares handling units in one,
two, and three dimensions where conversions are involved.
- - - - - - - - - - - - -
1. One Dimensional conversion.
Given a length of 100 inches, convert this to centimeters.
The one dimensionsl (linear) conversion factor is 1 in
= 2.54 cm.
The calculation involves 100 in x 2.54 cm / in = 254 cm.
- - - - - - - - - - - - -
2. Two Dimensional conversion.
Given a surface area of 500 square inches (500 in^2), convert this to
square centimeters.
Dimensional analysis focuses on the units of measurement, which is an
area of mathematics that many students overlook. Dimensional analysis
focuses on the use of measurements in calculations. Below are some
examples of using units in calculations.
- - - - - - - - - - - - -
1. Calculating the surface area of a shelf board.
Given a 24 inch by 48 inch shelf board calculate the amount of surface
area available to store objects on.
Equation to be used: Area = length x width
Substitution:
Area = 48 inches x 24 inches
Answer:
Area = 1,152 square inches or 1,152 in^2
- - - - - - - - - - - - -
2. Converting the surface area determined in the above problem into
square feet.
The shelf board above has a surface area of 1,152 in^2
There are two ways to go about this. One is to convert the original
dimensions to feet and then substitute into the equation and solve.
The other way is to solve for the answer by doing a conversion calculation.
The three Trigonometry functions of Sine, Cosine, and Tangent are very
important to the study of vectors in physics. All three functions
are defined as ratios of lengths of sides in a right triangle (a triangle
with one angle being 90 degrees such that two of the sides of the triangle
meet as lines perpendicular to each other). In such a situation the some
of the other two of the three angles present in the right triangle add
up to 90 degrees and are called complementary angles.
- - - - - - - - - - - - -
The Sine function is described as the ratio of the length of the side
opposite a defined angle (other than the 90 degree angle) to the length
of the hypotenuse.
In equation form it is written as:
Sine of the angle = Opposite side / Hypotenuse
OR
Sin q = OPP / HYP
For example: In a triangle having one of the angles equaling 30
degrees the ratio of the length of the side opposite to the angle to the
length of the hypotenuse is 0.5000
- - - - - - - - - - - - -
The Cosine function is described as the ratio of the length of the side
adjacent to a defined angle (other than the 90 degree angle) to the length
of the hypotenuse.
In equation form it is written as:
Cosine of the angle = Adjacent side / Hypotenuse
OR
Cos q = ADJ / HYP
For example: In a triangle having one of the angles equaling
30 degrees the ratio of the length of the side adjacent to the angle to
the length of the hypotenuse is 0.8660
- - - - - - - - - - - - -
The Tangent function is described as the ratio of the length of the
opposite side to a defined angle (other than the 90 degree angle) to the
length of the side adjacent the defined angle.
In equation form it is written as:
Tangent of the angle = Opposite side / Adjacent side
OR
Tan q = OPP / ADJ
For example: In a triangle having one of the angles equaling
30 degrees the the ratio of the length of the side opposite to the angle
to the length of the side adjacent the angle is 0.5774 |
Tough Test Questions? Missed Lectures? Not Enough Time?
Fortunately, there's Schaum's. This all-in-one-package includes more than 600 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly,... |
Description The first half of a modern high school algebra sequence with a focus in seven major topics: transition from arithmetic to algebra, solving equations & inequalities, probability and statistics, proportional reasoning, linear equations and functions. |
Dickinson, TX Geometry help students develop the ability to see computational problems from a mathematical perspective. Discrete math is normally divided into six areas: sets, functions, and relations; basic logic; proof techniques; counting basics; graphs and trees; and discrete probability. I show students how these topics are interwoven with computer science applications |
WebMath
WebMath is designed to help you solve your math problems. Composed of forms to fill-in, WebMath returns analysis of a problem and, when possible, provides a step-by-step solution. Covers arithmetic, algebra, geometry, calculus, and statistics.
Math League Help Topics
Math League Help Facility offers this reference guide for math topics for grades 4-8, complete with examples, definitions, and explanations.
Mathematical Quotation Server
Collection of quotations about math and mathematicians, from Descartes to Einstein. Search by keyword, browse by author, or view a random quote. math.furman.edu/~mwoodard/mquot.html
Wolfram Functions Site, The
Encyclopedic collection of information about mathematical functions serving as a resource for the educational, mathematical, and scientific communities. functions.wolfram.com
Plus
Articles explaining the diverse applications of mathematics within physics, chemistry, biology, engineering, and economics, plus stories about new developments in mathematics and interviews with mathematicians. plus.maths.org |
Calculus
Description of the Examination
The Calculus examination covers skills and concepts that are usually taught in a one-semester college course in calculus. The content of each examination is approximately 60% limits and differential calculus and 40% integral calculus. Algebraic, trigonometric, exponential, logarithmic, and general functions are included. The exam is primarily concerned with an intuitive understanding of calculus and experience with its methods and applications. Knowledge of preparatory mathematics, including algebra, geometry, trigonometry, and analytic geometry is assumed.
The examination contains 44 questions, in two sections, to be answered in approximately 90 minutes. Any time candidates spend on tutorials and providing personal information is in addition to the actual testing time.
Section 1: 27 questions, approximately 50 minutes. No calculator is allowed for this section.
Section 2: 17 questions, approximately 40 minutes. The use of an online graphing calculator (non-CAS) is allowed for this section. Only some of the questions will require the use of the calculator.
Graphing Calculator
A graphing calculator is integrated into the exam software, and it is available to students during Section 2 of the exam.
Only some of the questions actually require the graphing calculator. Students are expected to know how and when to make appropriate use of the calculator. The graphing calculator, together with brief video tutorials, is available to students as a free download for a 30-day trial period. Students are expected to download the calculator and become familiar with its functionality prior to taking the exam. |
Electronic Resources To help with Discrete Mathematics
problems—check out
The Website contains expanded explanations of difficult material and links to other sites for additional information about discrete mathematics topics.
Supplements Computer exercises occur throughout the book
on particular topics which are available at
the Web Site that accompanies this textbook.
Instructor's Name Kathleen Green, PhD
Telephone 208-383-9070 (W)
Email kathyg@verdeaviation.com
Availability Feel free to call me between the hours of 8:00 am to 5:00 pm,Monday through Friday. If I am not available, please leave your message and I'll call you back as quickly as I can.
renowned international leader in providing innovative educational opportunities for learners with the global society.
The instructor's intent is to communicate with students rather than to lecture to them, and to convince the student that the study of discrete mathematics can be lively, interesting, and a rewarding experience. If the course succeeds you'll be well started in mathematics or computer science—both use the same language and much of the same kind of thinking. There's a secret to working tough problems: Try it repeatedly between periods of other activity, like sleeping. Go as far as you can, quit, and see what happens the next morning. Often you'll have made progress, "by osmosis." So my advice is to work a little bit every day on this subject rather than a lot just before a deadline. You may spend the same total amount of time either way; but you learn far more, or find better solutions to problems, if you spread out your efforts. Why? Because you'll have more periods of osmosis. You'll get more out of class.
COURSE OBJECTIVES
"On completion of this course, the student should be able to:<br>
1. Focus using logic on the relationship among statements as opposed to the content of any particular statement.
Discuss some general methods of proofs, one of which, mathematical induction, is used throughout mathematics and computer science.
2. Deal with the language of mathematics. Some of the topics are: sets, sequences, number systems, relations, and functions.
3. Understand the complexity of algorithms, which refers to the time and space required to execute algorithms, and the analysis of the resources required for particular algorithms.
4. Develop several tools for counting.
5. Define a sequence by giving the nth value in terms of certain of its predecessors using recurrence relation.
6. Discuss some important concepts in graph theory, including paths and cycles.
7. Make extensive use of trees.
8. Maximize the flow in a network.
9. Explore the relationship of Boolean algebra to circuits.
ACADEMIC HONESTY
"
CLASSROOM RULES OF CONDUCT
The student shall, at all times, conduct themselves in a responsible and orderly manner, and shall appear for class in a sober and receptive condition. Violation of these conditions is cause for dismissal.
Instruct
Each of you needs to actively participate in discussions relating to the subject materials for each week for full participation credit and to make this class an enjoyable learning experience for us all. You should read, analyze, and respond to questions and comments from fellow students and me. These may include additional questions from me, as the discussions evolve, not just the questions assigned at the end of the chapters. Don't be afraid to express your opinion of the topics that we will discuss. Differences of opinion are normal; but the important thing about any disagreement is to differ with respect and to provide an explanation and clear factual basis for your different point of view.
LATE SUBMISSION OF COURSE MATERIALS
The instructor will not accept assignments late. Assignments not submitted on the due date will receive a grade of "zero". Purchase your textbook well enough in advance, not having a textbook is NO excuse.
COURSE ASSESSMENT GRADING PLAN
Point Values for the Course Assignments
1. MidTerm and Final Examinations – Students are expected to take the MidTerm and Final Examination at the designated time and place. No makeup Exams will be given. The MidTerm Exam is scheduled for the Forth Week and the Final Exam is scheduled for the Eighth Week. Exam questions will test your understanding of the lectures and material presented in the textbook and demonstrations. Emphasis is placed on testing your understanding of the material presented in the course, rather than in testing memorization of facts and figures.
Each of the examinations given during the course will focus on the material just prior of that examination.
2. Homework Worksheets – Worksheets will be due by the end of the Term. The worksheet can be submitted electronically (via email) as MS Word documents to the Instructor. |
Synopses & Reviews
Publisher Comments: performance on standardized tests and state assessment exams. This skill building book addresses all the mathematical concerns 8th graders develop during this critical stage in their academic career. In order to help students achieve success, it provides: A pretest to pinpoint your strengths and weaknesses A posttest to show you the progress you've made 32 short lessons that gradually increase in difficulty Hundreds of practice exercises to help you master essential math skills 8th Grade Math also provides online access to FREE math practice problems, which students can use to: Practice and improve math skills Receive immediate scoring and detailed answer explanations for all questions Benchmark skills and focus study with a customized diagnostic report |
ALEX Lesson Plans
Title: Parent Functions and Their Children
Description:
InStandard(s):) Title: Parent Functions and Their Children Description: In
Title: Explore the Transformations of Linear and Absolute Value Functions Using Graphing Utilities.
Description:
ThisStandard(s):MA2013] AL2 (9-12) 13: Use the structure of an expression to identify ways to rewrite it. [A-SSE21 (9-12) 22: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). [A-REI10] [MA2013] AL1 (9-12) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [S-ID7]
Subject: Mathematics (9 - 12), or Technology Education (9 - 12) Title: Explore the Transformations of Linear and Absolute Value Functions Using Graphing Utilities. Description: This
Title: Investigating Parabolas in Standard Form
Description:
StudentsStandard(s): [TC2] CA2 (9-12) 11: Critique digital content for validity, accuracy, bias, currency, and relevance. [MA2013] AL2 (9-12) 17: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. [A-APR), or Technology Education (9 - 12) Title: Investigating Parabolas in Standard Form Description: Students
Title: Exponential Growth and Decay
Description:
ThisStandard(s): [MA2013] AL1 (9-12) 7: Interpret expressions that represent a quantity in terms of its context.* [A-SSE1] [ 34: Write a function that describes a relationship between two quantities.* [F-BF1] ALC (9-12) 3: Use formulas or equations of functions to calculate outcomes of exponential growth or decay. (Alabama) [MA2013] ALT (9-12) 12: Interpret expressions that represent a quantity in terms of its context.* [A-SSE1] [MA2013] ALT (9-12) 21: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [A-CED2 25: Compare effects of parameter changes on graphs of transcendental functions. (Alabama)
Subject: Mathematics (9 - 12) Title: Exponential Growth and Decay Description: This
Thinkfinity Lesson Plans
Title: Do You Hear What I Hear?
Description:
In this lesson, from Illuminations, students explore the dynamics of a sound wave. Students use an interactive Java applet to view the effects of changing the initial string displacement and the initial tension.
Standard(s): [S1] (8) 12: Classify waves as mechanical or electromagnetic. [S1] PHS (9-12) 9: Compare methods of energy transfer by mechanical and electromagnetic waves. [S1] PHY (9-12) 6: Describe wave behavior in terms of reflection, refraction, diffraction, constructive and destructive wave interference, and the Doppler effect. 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6 29: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.* [F-IF5] 31: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [F-IF8] [MA2013] ALT (9-12) 32: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [F-IF9] [MA2013] ALT (9-12) 33: Write a function that describes a relationship between two quantities.* [F-BF1 40: Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.* [F-TF5] [MA2013] PRE (9-12) 26: Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)
Subject: Mathematics,Science Title: Do You Hear What I Hear? Description: In this lesson, from Illuminations, students explore the dynamics of a sound wave. Students use an interactive Java applet to view the effects of changing the initial string displacement and the initial tension. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Title: Exact Ratio
Description:
This
Standard(s): [MA2013] AL1 (9-12) 2: Rewrite expressions involving radicals and rational exponents using the properties of exponents. [N-RN2 [ 33: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [F-IF9] [MA2013] AL1 (9-12) 34: Write a function that describes a relationship between two quantities.* [F-BF11 (9-12) 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [S-ID6] [MA2013] ALC (9-12) 3: Use formulas or equations of functions to calculate outcomes of exponential growth or decay. (Alabama) [MA2013] ALC (9-12) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama) [MA2013] AL2 (9-12) 12: Interpret expressions that represent a quantity in terms of its context.* [A-SSE1 33: Write a function that describes a relationship between two quantities.* [F-BF1] [MA2013] AL1 (9-12) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]
Subject: Mathematics Title: Exact Ratio Description: This Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Web Resources
Interactives/Games
Learning Activities expression |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). |
Additional Details
Saxon is a great program but not a good fit for everyone. If that describes you, then take a look at this quality math series. The concept presentation is meaty, it is aligned to standards, and comes from a secular publisher if you need or prefer that. Each Homeschool Bundle includes a Teacher Edition, Student Text, All-in-One Student Workbook, All-in-One Teacher Guide, and a Parent Guide pamphlet. The Teacher Edition is what you might expect in a classroom edition. It includes a comprehensive reference section in both the front and back of the book. The front includes master lists for applications/activities/projects, web codes for access to quizzes/tests/labs/projects, resource pages for differentiated instruction, assessment, problem solving, technology, math strands that are covered, a pacing chart, how to use the book, chapter summaries, and standardized-test correlation. A pre-test is provided to diagnose skill areas that need extra work along with references to pages that focus on those skills. Small format pages of the student text are included with teacher notes in the margins along with small format pages from the workbook. At the back of the book are chapter projects, extra practice, technology examples, skills handbook, an ACT/SAT reference section which will give students tips before taking the math portion of the tests, English/Spanish glossary, Instant Check answers, and selected answers for text exercises, activities, labs, test preps, etc. The Student Text includes lessons directed to the student with examples and exercises. Some great reference material is found in the back of the book similar to that found in the teacher edition including the ACT/SAT reference section. The All-in-One Student Workbook offers an alternative for special needs students that might do better with the workbook format. Rather than doing the exercises found in the text, the workbook offers an adapted version of concept practice. Within the workbook students will have note taking pages, additional practice, guided problem solving, vocabulary checks and vocabulary reviews. The pages are formatted with plenty of white space and room to work and do the problems. Instruction for the implementation of the workbook is found in the teacher edition. The All-in-One Student Workbook Teacher Guide offers small format note taking pages with answers, and all of the answers for the practices and guided problem solving, vocab checks and vocab reviews found in the student workbook. The Parent Guide is just a short brochure that offers some tips for parents who will be teaching the course.
Each chapter in the student text begins with a short review of previous concepts and an introduction as to what will be covered in the present chapter. Chapters are broken down into lessons which include a list of skills needed for fulfilling the chapter content, concept presentation with examples, highlighted vocabulary, 'Quick Check' practice, 'Check Your Understanding,' homework exercises, notes for where you can go for help, guided problem solving, web codes for homework video tutors (short lessons on key concepts), test prep & mixed review, and activity labs. Sometimes there will be test prep tips, vocabulary builders, or "Math at Work" which highlights math in careers. At the end of each chapter you might find test-taking strategies, chapter review, chapter test, and a test prep which will be either reading comprehension with math reading and word problems or a cumulative review.
The content of this series ranks right up there with the Bob Jones and Saxon courses and covers the same topics in a very comprehensive way. If you are looking for a course that will teach the same content with the same format as courses for the classroom, this series is it with some extras. I like the fact that this series includes all of your assessments and extras without a lot of hassle. Just type in the codes at the publisher website and you have access – much easier than with some other series.
The sequence for the Prentice Hall High School Math series is intertwined and interchangeable with some elements of the Middle School courses. Students using the Prentice Hall Middle School Math Courses can choose to do Course 1 and Course 2, and then they have the option of doing Course 3, Algebra Readiness, or go directly to Pre-algebra in the high school series. According to the publisher, Algebra Readiness contains the same general content as Pre-algebra with small differences. After Pre-algebra, students will then do Algebra 1, Algebra 2, and Geometry. ~ Donna |
Entry Level
Mathematics - R448 (from 2010)
Qualification finder
Enter a qualification type, name or code (e.g. GCSE, English or H011) and select from the results that display below.
Our Mathematics Entry Level qualification is being redesigned for first teaching in September 2010. It will sit with the new GCSEs in Mathematics, enabling us to offer you a coherent package for you and your learners. The qualification is aimed at learners who may not be ready for a GCSE, or who will benefit from reinforcing their basic mathematics skills while studying towards the GCSE.
Benefits
It's designed to be accessible to a diverse range of learners.
We've created a qualification flexible and straightforward to administer maximising benefit.
The course is centre-marked so learners can benefit from immediate feedback from their teachers. |
Fairview Village ACT it right. Algebra 2 is a lot harder than it used to be. It's also more important than it used to be because algebra 2 concepts are included on the new SAT |
Exploring Precalculus - William Mueller
A lively and intuitive introduction to precalculus. Materials center on three themes: functions, rates of change, and accumulation. Showing the subject from many angles, illustrations include algebraic, graph-based, and real-world examples, and feature Mathcad or StudyWorks as calculation and visualization tools.
more>>
Pre-Calculus - Math Forum
Links to some of the best Internet resources for pre-calculus: classroom materials, software, Internet projects, and public forums for discussion.
more>> |
We present around 150 online physics problems for students to practice and learn topics taught in first year university...
see more
We present around 150 online physics problems for students to practice and learn topics taught in first year university physics courses. For each problem the answer is an integer. Although the problems are quantitative, they are designed to test one's understanding of the concepts, and do not require the use of a calculator.
״Remember the Star Trek computer? It's finally happening--with Wolfram|Alpha. Building on 25 years of development led by...
see more
״Remember the Star Trek computer? It's finally happening--with Wolfram|Alpha. Building on 25 years of development led by Stephen Wolfram, Wolfram|Alpha has rapidly become the world's definitive source for instant expert knowledge and computation.Across thousands of domains--with more continually added--Wolfram|Alpha uses its vast collection of algorithms and data to compute answers and generate reports for you.Parts of Wolfram|Alpha are used in the Apple Siri Assistant; this app gives you access to the full power of the Wolfram|Alpha computational knowledge engine. Domains covered by Wolfram|Alpha include:MATHEMATICSElementary MathNumbersPlottingAlgebraMatricesCalculusGeometryTrigonometryDiscrete MathNumber TheoryApplied MathLogic FunctionsDefinitionsSTATISTICS & DATA ANALYSISDescriptive StatisticsRegressionStatistical DistributionsProbabilityThis app costs $1.99
״es1_XL is a one dimensional simulation of the interaction between two (infinitely long) electron beams moving in opposite...
see more |
Algebra and Trigonometry - 9th edition
Summary: Larson's ALGEBRA AND TRIGONOMETRY is ideal for a two-term course and is known for delivering sound, consistently structured explanations and carefully written exercises of the mathematical concepts. With the Ninth Edition, the author continues to revolutionize the way students learn material by incorporating more real-world applications, on-going review and innovative technology. How Do You See It? exercises give you practice applying the concepts, and new Summarize features, Checkpo...show moreint problems and a Companion Website reinforce understanding of the skill sets to help students better prepare for testsPlease read description before purchase >>> instructor annotated version printed on cover with all identical Students content with teaching tips, and all solutions text only no access code. satisfacti...show moreon guarantee Quicker shipper with tracking # Expedited shipping available with Priority mail for fastest delivery ...show less
$141.11143.90 +$3.99 s/h
VeryGood
Bookbyte-OR Salem, OR
Has minor wear and/or markings. SKU:9781133959748-3-0
$182.26 +$3.99 s/h
New
bookaddiction101 Florence, MA
2013-01-01 Hardcover New Brand New Annotated Edition: Same exact text as student version plus may contain notes or answers |
Lexington, MA PhysicsInstead of using numbers algebra introduces letters as symbols to represent generalized numbers that may vary(Variables). Algebra also defines the rules of mathematical expressions and equations. To me problem solving is like to solve a puzzle. You list the information you know and use variables for unknown information |
Math Composer v.1.2.2
Advertisement
The Math Composer software is a powerful yet easy to use tool for creating all your math documents. It is a simple way for math teachers and instructors to create math worksheets, tests, quizzes, and exams. This math software is perfectly suited for use in a wide range of subjects including arithmetic, geometry, algebra, trigonometry, calculus, physics and chemistry Figures and Diagrams Build simple or complex figures using points, arrows, lines, circles, arcs, curves, angles, and polygons. Objects can be attached to one another allowing for the quick developments of figures which can be easily customized or manipulated. Move any connected object and the figure will change dynamically maintaining its structure. Grids and Graphs Create any style of Cartesian coordinate grid. Select the increment, size (up to full screen), axis offset, and many other properties. Graph multiple functions on the same grid. Choose the individual style, thickness, and color of each plot. Expressions support these functions: absolute value, square root, log, natural log, exponential, sine, cosine, and tangent. Equations and Text
Review Math ComposerMath Compass v.6.1The Little Math Tutor That Could Math Compass is the continuation of a project I started while in college, M2 Math Tutor. This completed version sees the additon of a few features as well as a bit of cleanup. While Im no longer actively developing ...
Math Crony v.1Math Crony is interactive and user friendly software designed for improving the basic math skills of your children. This tool allows children to practice math at their own pace. The parent is able to guide and monitor the progress of their children ... |
Mathematical Methods for Quantitative Finance covers topics from calculus and linear algebra that are fundamental for the study of mathematical finance. Students successfully completing this course will be mathematically well prepared to study quantitative finance at the graduate level.
This is an introduction to predicate logic and how it is applied in computer science, electronic engineering, linguistics, mathematics and philosophy. Building on your knowledge of propositional logic, you will learn predicate logic—its language, interpretations and proofs, and apply it to solve problems in a wide range of disciplines.
Geometry is the study of shapes, size, and relative position and helps us to measure and understand the world around us. In this course you will learn about points and lines in the plane, properties of angles and shapes.
This course on Division and Multiplication of Whole Numbers introduces a learning trajectory approach to students' multiplicative reasoning, exploring a stronger conceptual basis for multiplicative reasoning, so that, eventually, multiplication and division of fractions is an extension of multiplication and division of whole numbers, instead of a new and mystifying monster of its own.
The Common Core State Standards for Mathematics are notable for raising the rigor of student language demands during math instruction. Students are expected to understand complex problems, engage in constructive classroom conversations about math, and clearly support their reasoning with evidence. In this course teachers will be provided with a range of practical tools for gathering and analyzing language samples that show how students learn and what supports they need in elementary math classrooms. |
I am a web-developer with a desire to expand my skill-set to mathematics relevant to programming.
As 2nd career, I am stuck in college doing some of the requirements while working.
I was hoping the my education will teach me the needed skills to apply math, however I am quickly finding it to be too much easily-testable breadth-based approach very inefficient for the time invested.
For example in my calculus 2 class, the only remotely useful mind expanding experience I had was volumes and areas under the curve. The rest was just monotonous glorified algebra, which while comes easy to me, could be done by software like wolfram alpha within seconds. This is not my idea of learning math.
So here I am a frustrated student looking for a way to improve my understanding of math in a way that focuses on application, understanding and maximally removed needless tedium.
However I cannot find a good long term study strategy with this approach in mind.
So for those of like mind, how would you go about learning the necessary math without worrying too much about stuff a computer can do much better?
5 Answers
Math is a lot easier to pick up after you know how to program. In fact, if you're a halfway decent programmer, you'll find it's almost a
snap.
They teach math all wrong in school. Way, WAY wrong. If you teach yourself math the right way, you'll learn faster, remember it longer,
and it'll be much more valuable to you as a programmer.
Knowing even a little of the right kinds of math can enable you do write some pretty interesting programs that would otherwise be too
hard. In other words, math is something you can pick up a little at a
time, whenever you have free time.
Nobody knows all of math, not even the best mathematicians. The field is constantly expanding, as people invent new formalisms to
solve their own problems. And with any given math problem, just like
in programming, there's more than one way to do it. You can pick the
one you like best.
Most math you need in "life" was taught in elementary school (like how to calculate a tip in your head). The math you will use in your job might be taught by your university, if you're going into a field which will require calculus or other advanced mathematics - but most programmers don't use calculus everyday (as most programmers end up writing business applications, not some sort of engineering or scientific field).
Regardless, a lot of math you learn won't be applicable to you. And a lot of what you do while learning it is computation. Will it ever be fixed? That's up for you, and the rest of your generation (and all future generations) to decide.
Project Euler exists to encourage, challenge, and develop the skills and enjoyment of anyone with an interest in the fascinating world of mathematics.
They are problems you solve with programming, but most of the problems aim to teach you (or you have to go learn) some specific math to solve it. Helps you learn titbits of math that you can apply with programming.
If you're interested in databases like I am, I'm studying Applied Math for Database Professionals. Once I'm done with that, I'll tackle whatever suites my fancy, probably something by C.J. Date, and set and group theory.
To answer your question on how to develop a study plan, research various universities and see what they offer in the areas of computer science or applied math. Universities publish the requirements for the degree. You can probably find all the courses online, usually with videos, problem sets, and can probably find the book through Amazon. MIT has Open Courseware, Harvard and Berkeley have online courses too. Also checkout OpenStudy, there might be a study group that's formed for the class you'd like to take.
When you need the knowledge and don't want to go into debt for a Master's, self-learning is a great way to go.
If you want to do algorithms in general, finite math and abstract algebra courses should help out (or, you could just take an algorithms course...). Finite math will also help with encoding, encryption, and a variety of other computational algorithm domains. You should try taking a look at Knuth's The Art of Computer Programming, if only as a pointer to the kind of math you might find useful.
If you want to do number crunching (the kind of thing that will use your calculus and linear algebra), look through the latest edition of Numerical Recipes. I also recommend Golub & van Loan's Matrix Computations as a more mathematically correct text on computational linear algebra.
In general, if there is an application domain you are interested in, you should visit the library and look through some books on the subject, to find the kind of math they require. There may not be a specific course on the subject available, but you should not let that stop you. The ability to track down and learn a body of knowledge on your own initiative is one of the most valuable skills you can acquire: if that were the only thing you learned in school, your time and money would still be well-spent. |
NCTM New Products
enSun, 20 Apr 2014 11:58:38 GMTAptify e-Business60Principles to Actions: Ensuring Mathematics Success for All (List Price $28.95 Member Price $23.16)
What it will take to turn the opportunity of the Common Core into reality in every classroom, school, and district.More]]>14861Wed, 09 Apr 2014 00:00:00 GMTAnnual Perspectives in Mathematics Education 2014: Using Research to Improve Instruction (List Price $42.95 Member Price $34.36)
Improving Mathematics Instruction for All Students through Research-Based ApproachesMore]]>14774Thu, 27 Mar 2014 00:00:00 GMTPutting Essential Understanding of Functions into Practice in Grades 9-12 (List Price $37.95 Member Price $30.36)
Do your students think that the vertical line test is indispensable and foolproof for determining whether a relationship is a function? Do they believe that every function can be modeled by an equation? Do they interpret the graph of a function as the function itself?
Maximize the potential of student-centered learning and teaching by putting essential understanding into practice. More]]>14346Thu, 27 Mar 2014 00:00:00 GMTSuccess from the Start: Your First Years Teaching Elementary Mathematics (List Price $43.95 Member Price $35.16)
This book highlights how students learn math and the pedagogy behind it. Using vignettes based on real classroom discussions, the authors illustrate effective teaching practices to support math learning. Success from the Start: Your First Years Teaching Elementary Mathematics acts as a supportive and reassuring companion that you can return to throughout your journey as an elementary mathematics teacher.
More]]>13954Thu, 27 Mar 2014 00:00:00 GMTSpherical Android Magnet (List Price $1.50 Member Price $1.20)
Based on the popular I Heart Posters, this magnet shows how math is all around us.
4-Color Process Magnet, 2 1/2"W x 4 1/8"H
More]]>14909Thu, 06 Mar 2014 00:00:00 GMTImplementing the CCSSM through Problem Solving, Grades 3-5 (List Price $26.95 Member Price $21.56)
Connect the Process of Problem Solving with the Content of the Common Core
The 38 problems and tasks for students in this book are organized into the major areas of the Common Core for grades 3–5: operations and algebraic thinking; number and operations in base ten; fractions; measurements and data; and geometry.
More]]>14446Fri, 28 Feb 2014 00:00:00 GMT"Rational Number Sense" (focus 2/14 MTMS) (List Price $13.95 Member Price $11.16)
February 2014 Focus Issue: Rational Number Sense
Fractions and other rational numbers are challenging topics to teach as well as learn. What does it take for students to make sense of rational numbers in their myriad forms, such as fractions, ratios, rates, percentages, and decimals? For instance, understanding fractions requires part-whole thinking, including partitioning, iterating (the process of making copies of a unit fraction to make a whole), and unitizing (identifying the unit and the whole). Making sense of ratios also requires part-part thinking and proportional reasoning involving multiplicative rather than additive comparisons between two quantities. As teachers, we want to focus on how to foster these kinds of complex and sophisticated ways of thinking among our students. The Editorial Panel of Mathematics Teaching in the Middle School wants to know your thoughts on what can be done to improve students' rational number sense.
More]]>14641Fri, 31 Jan 2014 00:00:00 GMTUncomplicating Fractions to Meet Common Core Standards in Math, K-7 (List Price $26.95 Member Price $21.56)
This accessible book provides math teachers with support for differentiated instruction. Math coaches can use it to assist teachers with their transition to the Common Core State Standards. All teachers will find it helpful to see the mathematical fraction learning that precedes and follows the grades that they teach. It is also an excellent text for preservice teachers as they prepare themselves and their students to understand and teach math with a deep level of understanding.
Copublished with Teachers College PressMore]]>14817Wed, 18 Dec 2013 00:00:00 GMTPutting Essential Understanding of Multiplication and Division into Practice in Grades 3-5 (List Price $36.95 Member Price $29.56)
Do your students believe that division "doesn't make sense" if the divisor is greater than the dividend?
Explore rich, researched-based strategies and tasks that show how students are reasoning about and making sense of mulitplication and division.
More]]>14347Tue, 22 Oct 2013 00:00:00 GMTImplementing the Common Core State Standards through Mathematical Problem Solving, Grades 6-8 (List Price $24.95 Member Price $19.96)
Connect the Process of Problem Solving with the Content of the Common Core Mathematics educators have long worked to help students to develop problem-solving skills. More recently, they have sought to provide students with the knowledge in the Common Core State Standards (CCSS). This volume is the third in a series from NCTM that equips classroom teachers with targeted, highly effective problems for achieving both goals at once. For every mathematics educator, the books in this series will illuminate a crucial link between problem solving and the Common Core State Standards.
More]]>14328Tue, 22 Oct 2013 00:00:00 GMT |
Product Description
This supplemental DVD is designed to be used along with the corresponding ACE Math PACE 1098 for Grade 9 (sold-separately). Thirteen lessons are included and cover verifying the root of equation, solving simple equations, dividing equations by the coefficient of x, algebraic phrases, solving word problems, and more. Lessons range in time from approximately one minute through ten minutes in length.
DVD Playable in Bermuda, Canada, United States and U.S. territories. Please check if your equipment can play DVDs coded for this region. Learn more about DVDs and Videos |
Graham, WA GeGaining facility at understanding how math 'works' is the goal. Once proficient, the concepts of algebra are introduced, with several examples and an effort to understand the vocabulary as well as processes involved. As an instructor, I strive to provide background information and context to my...
...Shopping requires estimating to ensure that you can afford what you are spending and that the bill is correct. Household budgets, selecting a loan, comparing savings and investments require understanding percentages. Plumbers, electricians, and HVAC technicians need to understand volumes, capacities, and flow rates |
School Algebra Software,
mcdougal littell american history chapter 7 worksheet,
second step to solving the quadratic equation,
solve differential equation second order homogeneous,
flash calculator with exponents.
Worksheet multiply and divide negative integers,
simplify algebraic expressions with negative exponents,
expanding in algebra exponent,
challenge college algebra problem,
Find a worksheet that has order pairs to plotted on a coordinate plane that will be a picture of a cat,
binomial expansion problems.
Answers,worksheet problems,
what is the connection between Pascal's triangle and Tartaglia's "rectangle?",
converting a mixed number to a decimal,
pre algebra with pizzazz worksheets,
trig and bearing questions.
Use loop in java to order numbers,
inverse function ax2+bx+c matlab,
using a TI 83 to solve polynomial,
TI 83 base conversion.
How to find cube root ti-89,
solving for variable Calculator fractions,
solving a second order differential equation,
ALGEBRA AND CHEATING,
factoring quadratics worksheets lesson plans,
combinations and permutations on ti-84,
how to use decimals on TI 89.
Graph the solution of the system of inequalities slove in ti83,
algebra group worksheet,
answers for algebra II.
"Lesson Master Answers",
Transformation to a first order equation,
advanced algebra calculator for free,
logarithmic expressions with calculator,
Illustrate how elements can change in nuclear reactions using balanced equations.,
"math calculator with remainders".
Free printable math worksheets repeating ,terminating decimals,
system of inequalities worksheet,
lcm calc in powers,
finding the standard form of a hyperbola given two vertices and the center,
linear systems algebra worksheet,
calculator+symbol+square root.
Worksheet on graphing non-linear relations,
complex solving system of equations in maple,
adding radical expressions calculator,
algabra test paper,
convert mixed numbers to decimals,
what is the greatest common factor of 36 and 100?.
Online solver for simplifying exponents,
kumon papers,
solving nonlinear equations in excel,
how to complete square on ti-89,
square root java,
fifth grade alegbra,
a program for finding a solution of simultaneous equation of two unknown+c++.
Java 5th edition+solve the calculator,
subtracting diffent denominators 12th grade,
free number line for first grade,
factoring cubed polynomials,
A binomial where the second term is subtracted from the first term, and both terms are squared is a product of two binomials with distinctive properties. Describe the properties of each.,
addition subtraction sign,
2. Evaluate this exponential expression..
Games that include math test cheats for lcm,
TI-83 connect points in ordered pair,
how do you compare a mixed number with a decimal,
solution Nonlinear differential equations,
KS3 physics formulas and equations,
ti-83 plus cube equation.
What is the square root of 12 in radical form,
solving nonhomogeneous equations,
equations one variable fractions,
free worksheets first and second conditional,
adding, subtracting,multiplying decimals math games,
Algebra Homework roots of a monomials.
What is the least common multiple of 76 and 135?,
twonumbers that add to twenty-one one number is 3 more than the other,
find sum in java,
answers to CPM Algebra book,
ratio formula,
answers for algebra 1 books,
free 4th math worksheets using th lattice.
Fraction least to greates,
second order nonlinear ode45,
answer to holt mathematics worksheet,
glencoe algebra 2 chapter 5 practice answers,
balancing method in algebra,
how to find the roots of a third order polynomial.
School maths LCM application,
math formulas percentages,
differences between factoring and using the quadratic formula,
trig complete chart,
is the greates common factor of any two even numbers always even?,
long divison and math guide sheet.
How do you convert a decimal into a fraction or mixed number?,
free polynomial long division calculator,
simplifying expressions involving complex numbers,
how to use a graph to solve quadratic equations,
pdf : Partial differential equation nonhomogeneous+operator,
online algebraic calculator + show steps.
Define simplify, evaluate, and solve,
how to solve second order differential equations with matlab,
factoring calculators,
what is the formula for a square,
free online calculators with trig functions,
nonhomogeneous PDE.
Factorising using graphics calculator,
simplifying radicals square roots with fractions,
solve a system of exponential equations on matlab,
factorials printables,
work sheet area of parallelogram,
basic algibra,
fractions and distributive property.
Ks3 4.5 maths fractions of amounts,
where can i get free saxon advanced math tests online?,
Can you help me find the answers to all the chapters and sections of the workbook the americans by mcdougal littell?,
complex quadratic equations,
8th grade math worksheet on exponents.
Algebraic expressions worksheet and poster,
first grade algebra,
powerpoint third degree graphs,
how to find the suare root of any number,
multipling and dividing decimals level 2,
finding common denominator worksheets.
Convert height into decimals,
java output sum of positive integers and output sum of negative integers,
power point for algebra 1A,
expression an identity calculator.
When adding and subtracting inequalities in fraction form do you keep the sighn the same or flip it the other directions,
algebra 1 book glencoe,
solutions manual winston research download,
probability on ti 83,
2nd order differential equation solve by runga kutta method in matlab.
How to solve complex fractions on a graphic calculator,
Factoring Basic Trinomials - activities and video clips,
how to solve the quadratic equation by factoring and completing the square,
simplified radical form,
download algebra helper free.
What Is the Hardest Math Equation in the World,
sum of all roots calculator,
algebraic expression reducer,
math HW answer,
how to convert radical into decimal,
where to download Saxon Algebra 1/2 Answer Key.
I found the Algebrator helpful. I still have a lot to learn about using it. I do believe it was worth the money I paid for it. I have one more math class to take and I am sure I will put the Algebrator to good use then! |
Elementary Statistics-Text - 8th edition
Summary: ELEMENTARY STATISTICS: A STEP BY STEP APPROACH is for introductory statistics courses with a basic algebra prerequisite. The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions. In recent editions, Al Bluman has placed more emphasis on conceptual understanding and understanding results, along with increased focus on Excel, MINITAB, and the TI-83 Plus and TI-84 Plus graphing calculators; computing ...show moretechnologies commonly used in such8610393 +$3.99 s/h
Good
Recycle-A-Textbook Lexington, KY
00733861034456.95 +$3.99 s/h
Good
LotsofBooks Nashville, TN
No comments from the seller
$76.16 +$3.99 s/h
Good
Books Revisited Chatham, NJ
Possible retired library copy, some have markings or writing76 +$3.99 s/h
Good
AllAmericanTextbooks_com Ypsilanti, MI
0073386103 Some wear to cover. Text is in great shape. ISBN|0073386103, Elementary Statistics A Step by Step Approach (C.)2012 |
Synopses & Reviews
Publisher Comments:
This volume offers an excellent undergraduate-level introduction to the main topics, methods, and applications of partial differential equations.
Chapter 1 presents a full introduction to partial differential equations and Fourier series as related to applied mathematics. Chapter 2 begins with a more comprehensive look at the principal method for solving partial differential equations — the separation of variables — and then more fully develops that approach in the contexts of Hilbert space and numerical methods. Chapter 3 includes an expanded treatment of first-order systems, a short introduction to computational methods, and aspects of topical research on the partial differential equations of fluid dynamics.
With over 600 problems and exercises, along with explanations, examples, and a comprehensive section of answers, hints, and solutions, this superb, easy-to-use text is ideal for a one-semester or full-year course. It will also provide the mathematically inclined layperson with a stimulating review of the subject's essentials.
Synopsis: |
Purchasing Options:
eBook Ordering Options
Description
Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics.
This edition now offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure mathematical ideas, including connections between universal algebra and graph designs.
The authors focus on several basic designs, including Steiner triple systems, Latin squares, and finite projective and affine planes. They produce these designs using flexible constructions and then add interesting properties that may be required, such as resolvability, embeddings, and orthogonality. The authors also construct more complicated structures, such as Steiner quadruple systems.
By providing both classical and state-of-the-art construction techniques, this book enables students to produce many other types of designs.
Reviews
…it is remarkable how quickly the book propels the reader from the basics to the frontiers of design theory … Combined, these features make the book an excellent candidate for a design theory text. At the same time, even the seasoned researcher of triple systems will find this a useful resource.
Related Subjects
Name: Design Theory, Second Edition (Hardback) – Chapman and Hall/CRC
Description: By Charles C. Lindner, Christopher A. RodgerSeries Editor: Kenneth H. Rosen. Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of...
Categories: Intelligent Systems, Combinatorics, Discrete Mathematics, Digital & Wireless Communication |
On-line lessons and practice for students studying high school level Algebra 2 and Trigonometry for state assessments. Also resources for teachers.
Found several presentations for Answers For Alge2caching Version Of Math Caching Box 7. Preview and Download Answers For Alge2caching Version Of Math Caching Box 7 now.
Browse Ap Biology Campbell Chapter 10 Study Guide Answers websites, images, video and social networks using results from all the most popular search engines on the web ... biology objectives answer.html |
Find a West Mclean Algebra 2Students are just beginning to move from 'concrete operations' to 'formal operations' at this age. This means that they have to master a new level of abstraction in math. This can be challenging and take time, but it's worth it |
The highly-acclaimed MEI series of text books, supporting OCR's MEI Structured Mathematics specification, has been updated to match the requirements of the new specifications, for first teaching in 2004. more...
The highly-acclaimed MEI series of text books, supporting OCR's MEI Structured Mathematics specification, has been updated to match the requirements of the new specifications, for first teaching in 2004. more...
Foundation Mathematics for Edexcel is the perfect preparation for the two-tier GCSE from Edexcel. This course has been written especially for Edexcel students and their teachers, and comprises student textbooks, teacher's resources, and homework books as well as digital resources. more...
The highly-acclaimed MEI series of text books, supporting OCR's MEI Structured Mathematics specification has been updated to match the requirements of the new specifications, for first teaching in 2004. more...
Do you dread maths homework? Panic at the thought of a test? Does maths bore you to tears? Don't worry - help is here!
Actress and mathematician Danica McKellar's bestselling guide proves that maths can be easy, relevant and even cool, and gives you all the tools you need to ace your next test. With Danica as your personal tutor, even the most... more...
Discover how maths applies to everything with Johnny Ball
Join Johnny Ball as he shows your child that maths isn't just numbers and sums, it's a fundamental, incredible, magical way to find out how everything works.
From Pi, the amazing number that's vital for so much of everyday life, to perfect proportions - did you know Leonardo... more...
This book supports trainee teachers working towards primary QTS in how to teach primary mathematics across all areas of the curriculum. Focused on teaching a more integrated and inclusive curriculum, the text draws out meaningful cross curricular links and embraces the latest thinking and current good practice. It begins with a section on teaching... more... |
...The topics learned in middle school prealgebra form a foundation of math skills that are used in every math course that comes later in high school and college curricula. This means that if you let your student continue to struggle with fraction arithmetic, arithmetic using negative numbers, fact |
This learning object from Wisc-Online covers simplifying algebraic expressions using division. The unit's activities include defining the terminology associated with algebraic operations, using the fundamental laws of...
This learning object from Wisc-Online covers simplifying algebraic expressions using addition and subtraction. The unit's activities include defining the terminology associated with algebraic expressions, using the...
This learning object from Wisc-Online covers simplifying algebraic expressions using multiplication. The unit's activities include defining the terminology associated with algebraic operations, using the fundamental...
This learning object from Wisc-Online covers solving systems of linear equations using the addition or subtraction method. The unit looks at the common solution to simultaneous linear equations (also referred to as... |
Next Step for Prospective Students:
Course Listings
This is a course in arithmetic skills and the rudiments of algebra. Topics covered include whole numbers, fractions, decimals, percents, proportions, signed numbers, and solving simple linear equations.
Pre/Co-Requisites: Co-Requisite: ESL 062. Students who score less than 26 on the COMPASS Pre-algebra exam are eligible to take MAT 008.
This course is a combination of arithmetic and elementary algebra. It includes the arithmetic of integers, fractions, decimals, and percent. In addition, such topics as signed numbers, algebraic representation, operations with polynomials, factoring, the solution of simultaneous linear equations of two variables, and graphing are covered.
This developmental course provides an alternative and accelerated pathway to the college-level liberal arts mathematics courses. The course will focus on applications of numerical reason to make sense of the world around us. Applications of arithmetic, proportional reasoning and algebra are emphasized. This course cannot be used as a prerequisite for MAT 056 and is not suited for Science, Technology, Engineering or Mathematics (STEM) students.
This course is the first algebra course offered at the College. It includes such topics as algebraic representation, signed numbers, operations with polynomials, factoring, the solution of linear equations, the coordinate system, the solution of simultaneous linear equations of two variables, and graphing. This course is designed to prepare students for the CUNY Freshman Skills Assessment Test required for transfer to the upper division of CUNY, as well as for more advanced math courses. If a student passes MAT 012, the student should not register for MAT 051, since MAT 012 combines MAT 011 and MAT 051.
This course is the second algebra course offered at the college. It is open to students who have completed elementary algebra or its equivalent. It includes such topics as: factoring, solutions of linear and quadratic equations, trigonometric relationships, exponents, logarithms, and the graphs of quadratic equations.
This course includes the study of several mathematical systems. The role of mathematics in modern culture, the role of postulational thinking in all of mathematics, and the scientific method are discussed. The course considers topics such as: the nature of axioms, truth and validity; the concept of number; the concept of set; scales of notation; and groups and fields.
This course includes the study of several mathematical systems. The role of mathematics in modern culture, the role of postulational thinking in all mathematics, and the scientific method are discussed, The course considers topics such as the nature of axiom truth and validity; the concept of number; the concept of sets; scales of notation, and groups and fields.
Note: This course satisfies the Pathways: Mathematical & Quantitative Reasoning requirement.
This course will introduce the processes involved in research. Students will be designing and performing experiments and analyzing the results. Objectives are-to understand the scientific method, interpret statistics, and appreciate mathematical research. Computers will be used for statistics, graphing, patter recognition, and word processing. Recommended for mathematics- and science- oriented liberal arts students as a liberal arts elective. Not open to Science or Engineering Science majors.
Prerequisite: One year of college science
This course is a survey of modern mathematics and its applications developed after the 18th century. The emphasis is on using mathematics to model the political, economic and aesthetic aspects of modern day society. Topics include graph theory, linear programming, game theory, number theory, and mathematical growth and patterns.
The course aims to teach students how to think competently about quantitative information. Students learn how to take real world problems, translate them into mathematics, and solve them. Topics include thinking critically, numbers in the real world, financial management, statistical reasoning, probability, and mathematical modeling.
This course aims to teach students how to think competently about quantitative information. Students learn how to take real world problems, translate them into the language of mathematics, and solve them. Topics include thinking critically, numbers in the real world, financial management, statistical reasoning, probability, and mathematical modeling. This course satisfies the mathematic requirement for the CUNY Core. It is recommended for students who do not intend to pursue mathematics, science or any curriculum requiring the students to take Calculus.
Note: This course satisfies the Pathways: Mathematical & Quantitative Reasoning requirement.
This course covers fundamental mathematical topics associated with computer information systems, including: numeration systems; sets and logic; Boolean algebra, functions, and elementary switching theory; combinatorics; mathematical induction; permutations; combinations; binomial coefficients; and distributions.
Prerequisite: MAT 012 or MAT 051; and MAT 056.
This course will satisfy the math requirement for students in Business Administration, Computer Information Systems, Computer Network Technology, Computer Science or Accounting. Prerequisites to this course should be taken in the first semester or as early as possible
This is a Liberal Arts elective course. It will
focus on the general steps in the problem-solving
process and the use of problem-solving
strategies espoused by Polya, et al.
Problems will include non-routine exercises
taken from mathematics journals and
competitions, and famous problems from the
history of mathematics.
Prerequisites: MAT 012 or MAT 051, if needed; also MAT 056
This course covers the first half of the mathematics recommended by the National Council of Teachers of Mathematics (NCTM) for prospective elementary school teachers, including problem solving, sets, logic, numeration, computation, integers, rational and real numbers, and number theory. This course meets the mathematics requirement only for students in the ECE program. Students who have taken MAT 100 may not receive credit for this course.
This course covers the second half of the mathematics recommended by NCTM for prospective elementary school teachers, including probability, statistics, plane and transformational geometry, congruence, and similarity. This course meets the mathematics requirements ... for students in the ECE program. Students who have taken MAT 150 may not receive credit for this course.
Prerequisite: MAT 214
An introduction to Euclidean geometry and some topics from Non-Euclidean Geometry. Topics to be covered in Euclidean geometry include foundations of geometry such as lines, angles, triangles, polygons, circles, solids as well as coordinate geometry and transformations. Non-Euclidean geometry will cover a brief introduction to axion systems, parallelism and hyperbolic geometry.
Prerequisite: MAT206 or the equivalent with departmental approval
This is an integrated course in analytic geometry and calculus, applied to functions of a single variable. It covers a study of rectangular coordinates in the plane, equations of conic sections, functions, limits, continuity, related rates, differentiation of algebraic and transcendental functions, Rolle's Theorem, the Mean Value Theorem, maxima and minima, and integration.
Prerequisite: MAT 206
This course provides an introduction to the concepts of formal integration. It covers the differentiation and integration of algebraic, trigonometric, and transcendental functions. Topics include the definite integral, the antiderivative, areas, volumes, and the improper integral.
Prerequisite: MAT 301
This course is an extension of the concepts of differentiation and integration to functions of two or more variables. Topics include partial differentiation, multiple integration, Taylor series, polar coordinates and the calculus of vectors in one or two dimensions.
Prerequisite: MAT 302
The course follows the growth of mathematics from its empirical nature in Egypt and Babylonia to its deductive character in ancient Greece wherein the roots of the calculus will be identified. The concept of number and the development of algebra, with Hindu, Arabic, and medieval contributions are discussed. The rise of analytic geometry, the calculus, and the function concept are examined. Finally, the trend towards greater rigor and abstraction is considered including formal axiomatic systems and Godel's Incompleteness Theorem.
Prerequisite: MAT 302
The course presents the logical structure on which the foundations of the calculus have been based: construction of the real number system, mathematical induction, limits and continuity in precise formulation, functions of several variables, point sets in higher dimensions; uniform continuity, and elements of partial differentiation.
Prerequisite: MAT 303 or departmental approval |
Students calculate the area under a curve. In this calculus lesson plan, students use Riemann sums to find and approximate the area under a curve. They use the derivative and differential equations to solve.
Solve problems using integration and derivatives. By using calculus, learners will analyze graphs to find the extrema and change in behavior. They then will identify the end behavior using the derivatives. Activities and handouts are included.
Young scholars calculate the solution using integrals in this calculus lesson. They use the TI to create a visual of how to compute integrals. Learners also use substitution by integration and all its properties.
Pupils solve problems using integration by parts in this calculus instructional activity. Learners apply the product rule and integration by parts. They graph the equation and use the TI to observe the integration process.
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
Students explore scatter functions. In this pre-calculus lesson, students model data, evaluate the function and use their model to interpolate or predict end behavior of the function. The lesson employs the use of a graphing calculator.
Students explore the process of finding the volume of a solid of revolution. In this AP Calculus lesson, students review concepts of finding volumes between two curves before starting this lesson. They observe solids that are formed by the revolutions around a horizontal or vertical axis.
Pupils investigate integrals and their relationship to velocity in this calculus instructional activity. They use the idea of a moving elevator to explore vertical motion and use the TI to help them create a visual.
In this algebra worksheet, students use the summation notation correctly as they solve problems. They define the integral of a function and solve problems involving i. There are 14 questions with an answer key.
In this math worksheet, students complete a series of mathematical investigations to determine readiness for the course of study they are enrolled in. This worksheet is problem set four in a set of worksheets for calculus.
High schoolers engage in daily spelling and vocabulary practice of workplace-related terms with definition matching exercises, word scrambles, dictation, sentence writing. Finally, they compose a short essay in which they use the words correctly.
Students discuss the importance of fundamental theorems in math. In this calculus lesson plan, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this theorem works.
Humongous Calculus problem of the day - "Two hikers begin ..." Use the properties of indefinite integers and indefinte integrals to solve this problem. Six practice problems are included with space to do the work, as well as a suggestion of ten homework problems from the book.
Students discuss the importance of Integrals as it relates to calculus. In this calculus lesson, students define Integrals and practice taking the integrals of polynomials. They work problems to enhance their understanding of how derivatives is incorporated into calculus. |
Education
The MAT exam is one of the hardest intellectual challenges in the field of standardized testing. Students preparing to take this exam need a chance to practice the analogy skills necessary to score well on this test, which MAT For Dummies provides with its six full-length practice tests and plethora of other test preparation suggestions.
MAT For Dummies includes test-specific analogy strategies, practice and review ... Read More
Not everyone retains the math they learned in school. Like any skill, your ability to speak "math" can deteriorate if left unused. From adding and subtracting money in a bank account to figuring out the number of shingles to put on a roof, math in all of its forms factors into daily life. Math For Real Life For Dummiesprovides you with the simple formulas and theorems that you're likely ... Read More
Get a grip on all types of word problems by applying them to real life
Are you mystified by math word problems? This easy-to-understand guide shows you how to conquer these tricky questions with a step-by-step plan for finding the right solution each and every time, no matter the kind or level of problem. From learning math lingo and performing operations to calculating formulas and writing equations ... Read More
With roots in physics and mathematics, engineering mechanics is the basis of all the mechanical sciences: civil engineering, materials science and engineering, mechanical engineering, and aeronautical and aerospace engineering.
Tracking a typical undergraduate course, Mechanics of Materials For Dummies gives you a thorough introduction to this foundational subject. You'll get clear, plain-English explanations ... Read More
To get the most from Medicare, you need accurate information that steers you clear of bad advice and costly pitfalls. Medicare For Dummies is what you need to navigate Medicare successfully and get the best out of the complex system. AARP's Medicare expert, Patricia Barry, gives you plain-language explanations of how Medicare works and what steps you need to take to make it work for ... Read More
Is your knowledge of The Crusades less than tip-top? Maybe you're curious about Columbus, or you're desperate to read about the Black Death in all its gory detail? Whatever your starting point, this expert guide has it all - from kings, knights and anti-Popes, to invasion, famine, the Magna Carta and Joan of Arc (and a few rebellious peasants thrown in for good measure!). Get ready for a rip-roaring ride through the political, religious and cultural ... Read More
Memoir writing is a growing phenomenon, and not just by celebrities and politicians. Everyone has a story to tell, and Memoir Writing For Dummies provides hopeful writers with the tools they need to share their life stories with the world and become published authors.
With easy-to-follow, step-by-step instructions—along with helpful tips and advice on how to get published— ... Read More
Looking to better understand the Middle East? This plain-English guide explains the importance of the region, especially in light of recent events. You'll meet its people and their leaders, discover the differences and similarities between Arab and Western mindsets, and examine the wars and conflicts - including the Israeli-Palestinian ... Read More
The competition to become a military aviator is fierce. Candidates seeking entry into a military flight-training program must first score well on a complicated, service-specific flight aptitude test. Now, there's help!
With practice exams and the most in-depth instruction on the market, Military Flight Aptitude Test For Dummies gives future pilots, navigators, and aviation officers everything ... Read More
Mind mapping is a popular technique that can be applied in a variety of situations and settings. Students can make sense of complex topics and structure their revision with mind mapping; business people can manage projects and collaborate with colleagues using mind maps, and any creative process can be supported by using a mind map to explore ideas and build upon them. Mind maps allow for greater creativity ... Read More
Need to get a handle on molecular and cell biology? This easy-to-understand guide explains the structure and function of the cell and how recombinant DNA technology is changing the face of science and medicine. You discover how fundamental principles and concepts relate to everyday life. Plus, you get plenty of study tips to improve your grades and score higher on exams! ... Read More
The bestselling introductory guide on nanotechnology now revised and updated
The world of nanotechnology is ever changing and evolving; this fun and friendly guide demystifies the topic for anyone interested in how molecule-sized machines and processes affect our everyday lives. The authors begin with explaining the background of nanotechnology and then examine industries that are affected by this technology. Aiming to educate and simultaneously dispel ... Read More
Not sure what's true about Napoleon? This easy-to-follow guide gets past the stereotypes and introduces you to this extraordinary man's beginnings, accomplishments, and famous romances. It traces Napoleon's rise from Corsican military cadet to Emperor of the French, chronicles his military campaigns, explains the mistakes that led to his removal ... Read More
Call them Native Americans, American Indians, indigenous peoples, or first nations — a vast and diverse array of nations, tribes, and cultures populated every corner of North America long before Columbus arrived. Native American History For Dummiesreveals what is known about their pre-Columbian history and shows how their presence, customs, and beliefs influenced everything that was to follow.
This straightforward guide breaks down their ten-thousand-plus ... Read More
Neurobiology rolls the anatomy, physiology, and pathology of the nervous system into one complex area of study. Neurobiology For Dummies breaks down the specifics of the topic in a fun, easy-to-understand manner. The book is perfect for students in a variety of scientific fields ranging from neuroscience and biology to pharmacology, health science, and more. With a complete overview of the molecular ... Read More
Learn how to apply NLP to fine-tune life skills, build rapport, enhance communication, and become more persuasive
One of the most exciting psychological techniques in use today, neuro-linguistic programming helps you model yourself on those-or, more accurately, the thought processes of those-who are stellar in their fields. Rooted in behavioral psychology of the 1970s, the concepts of NLP are now common to such diverse areas as business, education, ... Read More
Research into the human brain has exploded in recent years, and neuroscience has become a major program at many universities and a required course for a wide range of studies. Neuroscience For Dummies tracks to an introductory neuroscience class, giving you an understanding of the brain's structure and function, as well as a look into the relationship between memory, learning, emotions, and the brain ... Read More
As the number and size of nonprofit organizations continues to grow, NFPs are coming under ever-increasing government scrutiny. Soon Congress will require that nonprofits comply with rigorous accounting and governance standards very similar to those set forth for for-profits in the Sarbanes-Oxley Act.
If you work for a nonprofit and are concerned about meeting impending changes to tax and finance standards governing NFPs this book is for you. In simple ... Read More
Nostradamus made simple-a surefire prophecy of success! Michel Notredame, or Nostradamus (1503-1566), was a French physician, astrologer, and prophet whose books of visionary four-line verses have intrigued and beguiled readers for hundreds of years. Now, with this fun and easy guide, everyone can finally get a handle on Nostradamus and his "Centuries" of prophecies, which many people believe to have predicted the French Revolution, the rise of Hitler ... Read More
Microsoft Office 2010 is the most commonly used office productivity suite and if you're eager to get started using all it has to offer, this value-packed eLearning kit is essential to your learning process. This complete Microsoft Office 2010 course includes a full-color printed book and a Dummies interactive eLearning course on CD. You'll discover the basics of the Office interface ... Read More
Want to ace the AFOQT, ASVAB or ASTB? Help is here! Officer Candidate Tests For Dummies gives you the instruction and practice you need to pass the service-specific candidate tests and further your military career as an officer in the Army, Air Force, Navy, Marine Corps, or Coast Guard.
Packed with practice questions and easy-to-follow information, ... Read More
Online Education For Dummies ... Read More
In general terms, optics is the science of light. More specifically, optics is a branch of physics that describes the behavior and properties of light including visible, infrared, and ultraviolet and the interaction of light with matter.
Optics For Dummies gives you an approachable introduction to optical science, methods, and applications. You'll get plain-English explanations of the nature of light and optical ... Read More
A plain-English guide to one of the toughest science courses around Organic chemistry is rated among the most difficult courses that students take and is frequently the cause of washout among pre-med, medical, and nursing students. This book is an easy-to-understand and fun reference to this challenging subject. It explains the principles of organic chemistry in simple terms and includes worked-out problems to help readers get up to speed on the basics ... Read More
Organic chemistry has a long-standing reputation as a difficult course. Organic Chemistry I For Dummies takes a simple approach to the topic, allowing you to grasp concepts at your own pace.
This fun, easy-to-understand guide explains the basic principles of organic chemistry in simple terms, providing insight into the language of organic chemists, the major classes of compounds, and top trouble ... Read More |
This detailed packed book will walk you through every aspect of auditioning for a symphony orchestra. Included is a 6 week step by step guide. Also included are the Most Common Excerpts asked in auditions for all the instruments of the orchestra. Learn the Most Common Mistake in taking orchestral auditions and read the extensive section on how to cope with Performance Nerves.
This eBook introduces the subjects of angles, bearings and scale drawings. To angles as it relates to angular turn about a point, angles in polygons, angle facts and inter-relational aspects with parallel as well as crossing lines, to bearings as they relate to navigation and scale drawings as an aspect of technical drawing.
Loci, Constructions and 3D Co-ordinates is an introductory text on loci and their characteristics, constructing triangles, the bisector of a line and the perpendicular bisector of a line as well as using 3D co-ordinates
This eBook introduces 2D planar and 3D solids (shapes) and their corners (vertices), faces, edges, lines and planes of symmetry and order of rotational symmetry. It introduces the student to regular and irregular polygons, quadrilaterals, triangles, circles, nets of solids, cuboids, prisms and cylinders including formulating the algebra that describes their various areas, perimeters and volumesLee Gabor, M.Ed., is a national award winning teacher. She details techniques she used in her classroom to ensure 5th and 6th grade students would be successful. She progressed from being called Ms. Ga-boring by a student to adding lots of characters to teach subjects as well as providing technological advances, songs, dances, and hands-on activities.
Mathematical Paradise: Getting to Know Triangular Numbers, Part 2 |
The author is an experienced math tutor with a Ph.D. in education and has a California secondary teaching credential in math. She presents questions which a person should use to help select a good math tutor.
An area of vehicle repairs that is something of a mystery to many mechanics, repairing alternators and starter motors is shown in step by step detail in this unique manual. Not only is this ideal for the garage professional,it also offers an opportunity for starting a new and highly profitable business, supplying reconditioned units to the public and garage trade as well as a full repair service.
This book teaches the mechanics and methodology of long division, a procedure for dividing numbers without the need for an electronic calculator. Starting with basic concepts, the book explains the method step by step, and then reinforces these concepts using extensive examples and problems with complete solutions. A Tarrington Math Series Book. Most appropriate for grades 5 to 8.In this article, I suggest how we REALLY learn to spell-and it's not all those boring spelling tests you had in school!
I suggests an approach to children's literacy that is, for a change, productive and makes sense.These six guides are designed for students as introductions to complex philosophical concepts and ideas. Topics covered include deliberative democracy, justice as fairness by Rawls, Aristotles' virtues, Kant's concepts and intuitions, Palto's Symposium, and essay writing strategiesThis guide covers Book 2 of Aristotle's Nicomachean Ethics in which he discusses the virtues. It explains the difference between moral and intellectual virtues, what Aristotle means by 'happiness', what he considers vices, and his 'doctrine of the mean'. |
The Lial/Hornsby developmental mathematics paperback series has helped thousands of students succeed in math. In keeping with its proven track record, this revision includes a sharp new design, many new exercises and applications, and several new features to enhance student learning. Among the features added or revised include a new Study Skills Workbook, a Diagnostic Pretest, Chapter Openers, Test Your Word Power, Focus on Real-Data Applications, and an increased use of the authors' six-step problem solving process.
Features
NEW - NEW! MyMathLab.com With MyMathLab.com, you can teach your course over the Internet using extensive online testing, quizzing, diagnosis, and performance tracking—all directly tied to the textbook. This Web-based course management system allows students to view the entire text online—linking to video, animation, and tutorial content when appropriate for a complete learning experience. Instructors can create and assign tests and quizzes, view students' work in the exercise sets, track student usage of the online resources, and customize the course to fit their needs.
NEW - NEW! More real-life applications are included in this edition, in addition to updating many of your favorites. Examples and exercises throughout the text focus on real-life applications of mathematics and provide a modern context that will appeal to and motivate students. A comprehensive List of Applications appears at the beginning of the text.
NEW - NEW! Test Your Word Power To help students understand and master mathematical vocabulary, this new feature has been incorporated in each chapter summary. Key terms from the chapter are presented along with four possible definitions in a multiple-choice format. Answers and examples illustrating each term are also provided.
NEW - NEW! Study Skills Workbook A desk-light icon at key points in the text directs students to the Study Skills Workbook where they will learn how to use the textbook effectively, plan their homework, take notes, manage study time, and prepare for and take tests. They will find out how their brain learns and remembers, so they'll understand why the study skills activities will increase their success in this course.
NEW - NEW! Diagnostic Pretest A diagnostic pretest is now included at the beginning of the text and covers all the material in the book, much like a sample final exam. This pretest can be used to facilitate student placement in the correct chapter according to skill level.
NEW - NEW! Chapter Openers New chapter openers feature real-world applications of mathematics that are relevant to students and tied to specific material within the chapters. Examples of topics include cell phones, home improvements, and work/career applications.
NEW - NEW! Increased Emphasis on Problem Solving Introduced in Chapter 2, the six-step problem-solving method has been refined and integrated throughout the text. The six steps, Read, Plan, Estimate, Solve, State the Answer, and Check, are emphasized in boldface type and repeated in examples and exercises to reinforce the problem-solving process for students.
NEW - NEW! Figures and Photos Today's students are more visually oriented than ever. Thus, the authors have made a concerted effort to add mathematical figures, diagrams, tables, and graphs whenever possible. Many of the graphs use a style similar to that seen by students in today's print and electronic media. Photos have been incorporated to enhance applications in examples and exercises.
Summary Exercises Four sets of in-chapter summary exercises on fractions, percent, perimeter, circumference, and area, and operations with signed numbers are included to give students additional practice on these typically difficult topics.
Focus on Real-Data Applications These one-page activities present a relevant and in-depth look at how mathematics is used in the real world. Designed to help instructors answer the often-asked question, "When will I ever use this stuff?" these activities ask students to read and interpret data from newspaper articles, the Internet, and other familiar, real sources. The activities are well suited to collaborative work and can also be completed by individuals or used for open-ended classroom discussions. Instructor teaching notes and extensions for the activities are provided in the Printed Test Bank and Instructor's Resource Guide.
Calculator Tips These optional tips, marked with calculator icons, offer basic information and instruction for students using calculators in the course. A new Introduction to Calculators has also been included at the beginning of the text, and problems suitable for calculator work are marked with an icon in the exercise sets.
Table of Contents
(Each Chapter ends with a Summary, Review Exercises and a Chapter Test. With the exception of Chapters R and 1, each Chapter also ends with a cumulative review.).
List of Applications.
Preface.
Diagnostic Pretest.
1. Whole Numbers.
Reading and Writing Whole Numbers.
Adding of Whole Numbers.
Subtracting of Whole Numbers.
Multiplying of Whole Numbers.
Division of Whole Numbers.
Long Division.
Rounding Whole Numbers.
Exponents, Roots, and Order of Operations.
Reading Pictographs, Bar Graphs, and Line Graphs.
Solving Application Problems.
2. Multiplying and Dividing Fractions.
Basics of Fractions.
Mixed Numbers.
Factors.
Writing a Fraction in Lowest Terms.
Multiplying Fractions.
Applications of Multiplication.
Dividing Fractions.
Multiplying and Dividing Mixed Numbers.
3. Adding and Subtracting Fractions.
Adding and Subtracting Like Fractions.
Least Common Multiples.
Adding and Subtracting Unlike Fractions.
Adding and Subtracting Mixed Numbers.
Order Relations and the Order of Operations.
Summary Exercises on Fractions.
4. Decimals.
Reading and Writing Decimals.
Rounding Decimals.
Adding and Subtracting Decimals.
Multiplying Decimals.
Dividing Decimals.
Writing Fractions as Decimals.
5. Ratio and Proportion.
Ratios.
Rates.
Proportions.
Solving Proportions.
Solving Application Problems with Proportions.
6. Percent.
Basics of Percent.
Percents and Fractions.
Using the Percent Proportion and Identifying the Components in a Percent Problem. |
Computation Basics Teacher's Guide Retail Price: $7.55 CBD Price: $5.99 Buy 96 or more for $5.69 each.
( In Stock ) This teacher's guide contains the instructions for Educators Publishing Service's Computation Basics series. A short placement exam and overview of the program is provided; instructions for each unit for each of the six books in the series are provided. Unit instructions include the instructional objective, and some additional notes or teaching tips if necessary. 17 pages, booklet.
Computation Basics 1 Retail Price: $14.70 CBD Price: $12.29 Buy 36 or more for $11.68 each.
( In Stock ) Computation Basics is a carefully structured program designed to develop basic arithmetic computation skills. The 1 includes 17 units that feature beginning addition and subtraction. Exercises will ask students to focus on the computation of basic addition and subtraction facts through two-digit numbers with no regrouping necessary. Review units and mixed function units help to strengthen previously taught skills. 85 non-reproducible pages, softcover.
Computation Basics 1 1 workbook, and contains line listed answers identified by unit & exercise number as well as page number. 4 pages, booklet.
Computation Basics 2 Retail Price: $14.70 CBD Price: $12.29 Buy 32 2 includes 17 units that feature intermediate addition and subtraction. Exercises will review lessons from Book 1, and cover one-digit column addition and two-digit addition and subtraction with regrouping. Review units and mixed function units help to strengthen previously taught skills. Non-reproducible pages, softcover.
Computation Basics 2 2 workbook, and contains line listed answers identified by unit & exercise number as well as page number. 4 pages, booklet.
Computation Basics 3 Retail Price: $14.70 CBD Price: $12.29 Buy 48 3 includes 18 units that feature advanced addition and subtraction. Exercises will review lessons from Book 1 & 2, and cover three-and four-digit addition and subtraction of all types. Review units and mixed function units help to strengthen previously taught skills; mastery units contain all problems sequenced from easiest to hardest to help identify any weaknesses. 90 non-reproducible pages, softcover.
Computation Basics 4 Retail Price: $16.90 CBD Price: $13.99 Buy 14 4 includes 18 units that introduce multiplication while reviewing addition and subtraction. Exercises cover the concept of multiplication, practice of basic facts, and multiplication of two and three numbers by one and two digit numbers. Review units and mixed function units help to strengthen previously taught skills; mastery units contain all problems sequenced from easiest to hardest to help identify any weaknesses. 120 non-reproducible pages, softcover.
Computation Basics 5 Retail Price: $16.90 CBD Price: $13.99 Buy 24 5 includes 16 units that introduce one-digit division. Exercises cover the concept of division and remainders, and develops division of 1-4 digit numbers by a one digit number. Review units and mixed function units help to strengthen previously taught skills; mastery units contain all problems sequenced from easiest to hardest to help identify any weaknesses. 155 non-reproducible pages, softcover.
Computation Basics 5 5 workbook, and contains line listed answers identified by unit & exercise number as well as page number. 7 pages, booklet.
Computation Basics 6 Retail Price: $16.90 CBD Price: $13.99 Buy 48 or more for $13.29 each.
( Available to ship on or about 05/17/14. ) Computation Basics is a carefully structured program designed to develop basic arithmetic computation skills. The entire (sold-separately) series is organized into 6 workbooks and helps children conquer 6 includes 14 units that introduce two-digit division. Exercises cover the division of two to four digit numbers by a two-digit number. Review units and mixed function units help to strengthen previously taught skills; mastery units contain all problems sequenced from easiest to hardest to help identify any weaknesses. 106 non-reproducible pages, softcover.
Computation Basics 6 6 workbook, and contains line listed answers identified by unit & exercise number as well as page number. Booklet. |
Generating Functionology This book is about generating functions and some of their uses in discrete mathematics. The subject is so vast that the author has not attempted to give a comprehensive discussion, but to communicate some of the main ideas. Author(s): No creator set
License information
Related content
No related items provided in this feed
Mathematics Under the Microscope This book inevitably asks the question "How does the mathematical brain work?" The author tries to reflect on the explosive development of mathematical cognition, an emerging branch of neurophysiology which purports to locate structures and processes in the human brain responsible for mathematical thinking. PDF file. Author(s): No creator set
License information
Related content
No related items provided in this feed
Emerging Perspectives on Learning, Teaching, and Technology I started this book in 2001 with a core group of doctoral students. The initial version included 12 chapters with no animations and very few images. Each semester, I ask my current students who are using this book as their required text in my class to improve on the book by either making animations, recorded presentations, graphics, editing, or various other contributions (there is no such thing as a completely free book!). It has been in HTML until May 2007 when we converted it to this Wiki. IDiscovering Information Systems An Exploratory Approach Note: This book was written in 1999 and last updated in 2003. Since then technologies have changed so the non-conceptual and more technical parts of the book may be out of date.Why Yet Another Textbook (WYAT)?There are many excellent introductory information systems (IS) texts on the market. Why then produce our own text? Interestingly enough, when we sat down to critically review the first year Information Systems curriculum, the very last thing that we wanted was to get involved in writing yet Author(s): No creator set
License information
Related content
No related items provided in this feed
Introduction to Microsoft Excel 2007 Microsoft Excel 2007 is a spreadsheet application written and distributed by Microsoft for windows. It features calculation, graphing tools, pivot tables and a macro programming language called VBA. This guide will get you started working with Excel 2007 and covers: Data entry and formatting, using formulas and functions, presenting data with charts, and database features in Excel. Author(s): No creator set
H.I.P. Pocket Change This explores the history of coins. Teachers can find lesson plans on charting history with pennies, or showing students 293 ways to make change for a dollar. Students can learn how to start their own coin collection, travel back through history using coins as their guide, or design a future coin. Author(s): No creator set
License information
Related content
No related items provided in this feed
Holocaust Memorial Museum: For Students This site offers multimedia exhibits filled with artifacts and photos that help students learn about the Holocaust. Topics include Kristallnacht, the St. Louis ocean liner, the rescue of the Jews of Denmark, Oskar Schindler, the Warsaw ghetto uprising, Father Jacques, the dress of Lola Rein, Nazi book burnings, Dietrich Bonhoeffer, America's responses, Arthur Szyk, maps, and children. Author(s): No creator set
License information
Related content
No related items provided in this feed
Defying Genocide This collection of activities and resources is a companion guide for the 15-minute film Defying genocide. The history of the Holocaust and the 1994 Rwandan genocide illustrate the entire spectrum of human behavior, from unimaginable evil to extraordinary goodness.
Through a study of the Holocaust, Rwanda, and genocide, students learn that genocide occurs because individuals, organizations, and governments make choices to participate, resist, or turn away.
Students can also see that at the same Author(s): No creator set
License information
Related content
No related items provided in this feed
Veterans Day This is a teacher's guide that suggests classroom activities and provides information about organizing a school assembly, the Veterans History Project, the history of Veterans Day, respecting the flag, and more. Author(s): No creator set
License information
Related content
No related items provided in this feed
EIA's Kids Page The U.S. Department of Energy, Energy Information Administration (EIA) hosts a student-friendly website with a variety of information and activities about energy. NEED assists EIA with web content. The Energy Kid's Page consists of several main categories: Energy Facts, Fun and Games, Energy History, Classroom Activities, Related Links, and a Glossary. This teacher guide provides extension activities for using the Energy Kid's Page as a resource to incorporate technology use in your classroom. Author(s): No creator set
License information
Related content
No related items provided in this feed
Investigating Special Relativity with Particle Physics Data This Website provides resources for secondary and post-secondary teachers of physical science. These resources include data reduction projects and particle physics datafiles. The data reduction projects guide student investigation of a dataset to a particular end result. The datafiles are written in a format that allows for rapid Web file transfer and ease of import into commonly available applications such as Microsoft Excel. Students download and reduce these data in an open-ended environment Author(s): No creator set
License information
Related content
No related items provided in this feed
Helping Your Child Become a Reader This guide offers dozens of activities families may use to help young children learn the alphabet, play with rhymes, read picture books, act out poems, predict what happens next in stories, create a bookcase, enjoy family stories, write notes and stories, and more. Author(s): No creator set
License information
Related content
No related items provided in this feed
Healthy Start, Grow Smart Healthy Start, Grow Smart provides parents of newborns information about checkups and shots, breastfeeding and bottle feeding, changing diapers, installing car seats, bathing, communicating, keeping a memory book, what's it like to be a newborn, and more.
This series was an initiative of Laura Bush as the First Lady of Texas and sponsored by the Texas Department of Health. President Bush and Mrs. Bush have asked that this series of booklets be revised and distributed by the U.S. Department of A Author(s): No creator set
License information
Related content
No related items provided in this feed
Helping Your Child Learn History This guide offers activities parents can use to help young children (preschool through Grade 5) learn about history. It includes suggestions about how parents can work with teachers and schools to help children succeed in school. Author(s): No creator set of the completeness axiom), fields, and basic properties of n-dimensional Euclidean spaces. Author(s): No creator set
License information
Related content
No related items provided in this feed
An Introduction to the Theory of Numbers This book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. Three sections of problems (which include exercis Author(s): No creator set
License information
Related content
No related items provided in this feed
Meals-Ready-To-Eat Scenario You and a friend are hiking the Appalachian Trail when a storm comes through. You stop to eat, but find that all available firewood is too wet to start a fire. From your Chem 106 class, you remember that heat is given off by some chemical reactions; if you could mix two solutions together to produce an exothermic reaction, you might be able to cook the food you brought along for the hike. Luckily, being the dedicated chemist that you are, you never go anywhere without taking along a couple chemi Author(s): No creator set |
1572591579
9781572591578
Precalculus:This is a study of the mathematical prerequisites needed to study calculus. Topics include functions, trigonometry, systems of equations and matrices, and conics. The graphing calculator is integrated where appropriate, and problem sets are divided into categories - mastering the concept, applying the concept, and developing and extending the concept. There are two chapters of algebra review.
Back to top
Rent Precalculus 6th edition today, or search our site for M. A. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Institute of Electrical & Electronics Engineers(IEEE). |
More About
This Textbook
Overview
Danieli solow's new fifth edition of How to Read and Do Proofs will help you master the basic techniques that are used in all proofs, regardless of the mathematical subject matter in which the proof arises. Once you have a firm grasp of the techniques, you'll be better equipped to read understand and actuary do proofs. You'll learn when each technique is likely to be successful, based on keywords that appear in the theorem.
This Fifth Edition features a complete revision and expansion of the exercises in the main body of the text. Other changes include replacing the previous Chapters 11 and 12 with new Chapters 11-14 new discussions in Chapters 1, 3 and 5 expanding on previous content and covering new material; and the inclusion of several, unitying examples at the conclusion of the text.
What People Are SayingEditorial Reviews |
MERLOT Search - category=2513&materialType=Assignment&createdSince=2012-09-09&sort.property=dateCreated
A search of MERLOT materialsCopyright 1997-2014 MERLOT. All rights reserved.Wed, 23 Apr 2014 17:27:51 PDTWed, 23 Apr 2014 17:27:51 PDTMERLOT Search - category=2513&materialType=Assignment&createdSince=2012-09-09&sort.property=dateCreated
4434Balancing Equations
This is a technology rich lesson plan that can be used in a mathematics class to explore balancing equations.Goal Directed Instructional Design Plan Using Math Playground Algebra Equations Web App
This is a Goal Directed Instructional Design Plan created to be used with the Algebra Equation web app at MathPlayground.com.Applying System of Equations to a real-world situation
The students will use their knowledge of writing a system of linear equations and graphing linear equations to determine the best option when deciding to purchase a season ski pass or a day ski pass. The students will need to have prior knowledge of what the solution to a system of equations means in order to interpret their findings. |
MathScore®saves you time and is proven to raise math proficiency. MathScore
replaces your need for any workbooks because it provides unlimited, paperless
math practice for basic math skills through Algebra I. Automated analysis tools help you track everything, including login times, topics attempted, accuracy, and exactly when each worksheet was attempted.
MathScore also facilitates fun goal setting. It takes a rating of 100 to master each topic. As students master the topics, their cumulative score increases as well as their rank. You can easily set goals with your students to achieve a certain number of points or reach the next rank.
Designed by an MIT graduate who scored a perfect 800 on SAT math, MathScore is used by well over 10,000 students in the United States and is endorsed by math and homeschooling experts.
"I have reviewed MathScore and I am very impressed with its easy-to-use practice tools. I am equally impressed with the way it adapts the difficulty level of the problems AND the explanations based on student performance."
- Gisele Glosser, founder, mathgoodies.com
"I feel Website MathScore.com can benefit ALL STUDENTS - after all, it is about math practice, and all students need practice."
- Maria Miller, founder, homeschoolmath.net
"Practice and drill are critical to learning math facts, but with many
online math tools too much time is spent practicing facts that the
student has already mastered instead of focusing more on the facts that
need to be learned. Mathscore.com uses the latest technology to
automatically generate math facts adapted to match the student's ability
and skill level. I believe that Mathscore's online software is an
excellent way to efficiently practice math skills and improve math scores."
- Mary Ann Kelley, founder, thehomeschoolmom.com |
083063438 Technical Mathematics
Originally published as a four-volume set, this book is a comprehensive, one-stop source of mathematical instruction. Geared primarily to people involved in electronics and other technical fields, this text offers a complete course that spans the entire spectrum of mathematical computation. The author attempts to provide readers with an encyclopedia of working methods, and promotes understanding by explaining how and why mathematical principles work. Step-by-step, illustrated instructions and alternative techniques are provided for solving problems in basic arithmetic, algebra, geometry, trigonometry, and calculus and special emphasis is placed on analytical issues in computer programming and the use of computers for calculation |
Introductory Algebra An Applied Approach
Description: AsMore...
As paired Examples and You Try It problems. Student engagement is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately solve similar problems, helps them build their confidence and eventually master the concepts. Simplicity is key in the organization of this edition, as in all other editions. All lessons, exercise sets, tests, and supplements are organized around a carefully constructed hierarchy of objectives. Each exercise mirrors a preceding objective, which helps to reinforce key concepts and promote skill building. This clear, objective-based approach allows students to organize their thoughts around the content, and supports instructors as they work to design syllabi, lesson plans, and other administrative documents. New features like Focus on Success, Apply the Concept, and Concept Check add an increased emphasis on study skills and conceptual understanding to strengthen the foundation of student success. The Ninth Edition also features a new design, enhancing the Aufmann Interactive Method and making the pages easier for both students and instructors to follow.
Richard Aufmann is Professor of Mathematics at Palomar College in California. He is the lead author of two best-selling developmental math series, a best-selling college algebra and trigonometry series, as well as several derivative math texts. The Aufmann name is highly recognized and respected among college mathematics faculty.
Joanne Lockwood is co-author with Dick Aufmann and Vernon Barker on the hardback developmental series, Business Mathematics, Algebra with Trigonometry for College Students, and numerous software ancillaries that accompany Aufmann titles. She is also the co-author of Mathematical Excursions with Aufmann |
Consumer Mathematics
Description
"Unit One: Buying a Car" captures the attention of teenagers immediately! Consumer Mathematics in Christian Perspective presents a scriptural view of working, tithing, saving, paying taxes, and budgeting time and money and gives a positive introduction to the American free-enterprise system. Students will learn about budgeting; banking; investing; keeping tax records; purchasing food, clothing, and a home; and many other topics. Each information-packed unit contains illustrative sample problems and practice problems. An analytical skills section in each chapter challenges them to analyze practical problems and choices they could soon be facing. The colorful, attractively designed text is a joy to use, with an abundance of charts, graphs, and illustrations that spark interest. Designed to be used in grades 9-12 and is 406 pages. The Consumer Mathematics Skills and Review Exercises work-text is designed to accompany the textbook |
This is a text for a graduate-level course in probability that includes essential background topics in analysis. It provides extensive coverage of conditional probability and expectation, strong laws of large numbers, martingale theory, the central limit theorem, ergodic theory, and Brownian motion.
Based on material taught to final-year students of theoretical physics, this is an introduction to the essentials of vector spaces and linear operators. It builds bridges between the concepts and mathematics of classical physics, and the mathematical framework employed in quantum mechanics. The axioms of nonrelativistic quantum theory are introduced, and shown to lead to a variety of new conceptual problems. Subjects discussed include state-vector reduction, the problem of measurement, quantum entanglement, the Kochen-Specker theorem, and the Bell inequalities. The book includes 25 problems with worked solutions.
In recent years, technological progress created a great need for complex mathematical models. Many practical problems can be formulated using optimization theory and they hope to obtain an optimal solution.
The book presents the solutions to two problems: the first is the construction of expanding graphs – graphs which are of fundamental importance for communication networks and computer science; the second is the Ruziewicz problem concerning the finitely additive invariant measures on spheres. Both problems were partially solved using the Kazhdan property (T) from representation theory of semi-simple Lie groups. |
Mathematical Association of Western Australia (MAWA)
Established by a group of mathematics educators to promote mathematics education in Western Australia. Since its inception MAWA has grown to include Pre-service, Primary, Secondary and Tertiary teachers. The site includes a links list, professional development
...more>>
Mathematical Institutions - ZIB/Math-Net
A collection of references to some international mathematical institutions, in the following sections: Mathematical Societies; International Centers and Institutions; University Departments in Germany; Mathematics Centers in Germany.
(The main body of
...more>>
Mathematical Programming Society (MPS)
An international organization dedicated to the support and development of the applications, computational methods, and theory of mathematical programming in its widest sense. The society holds the triennial International Symposium on Mathematical Programming
...more>>
Mathematics Association of Victoria (MAV)
A professional association for teachers of mathematics, supporting mathematics education in Victoria, Australia by providing quality services and products for teachers, students and the wider community. This site details MAV's professional development
...more>>
Minnesota Council of Teachers of Mathematics (MCTM)
An affiliate of the National Council of Teachers of Mathematics (NCTM). The site provides information about conferences, events, and programs; membership; listings of recommended math sites; MCTM highlights (Presidential Awardees, Shape of Space video,
...more>>
National Council of Supervisors of Mathematics (NCSM)
A resource site for those interested in leadership in mathematics education. The site lists meetings and conferences, membership information and how to subscribe to the NCSM mailing list, publications, operations, information about the summer LeadershipOperational Research Society
Operational Research (OR) or Operations Research or Management Science (OR/MS) looks at an organisation's operations and uses mathematical or computer models, or other analytical approaches, to find better ways of doing them. The OR Society, with members
...more>>
OR/MS Today
Online version of the magazine for members of the Institute for Operations Research and the Management Sciences (INFORMS). Current and previous issues, with full text of many articles; subscription information; software surveys; classified ads and list
...more>>
The Oughtred Society - Oughtred
An organization dedicated to the history and collection of slide rules. Meet William Oughtred, inventor of the modern slide rule; learn about the history and background of the Oughtred Society and its principles; join or renew membership; browse tables
...more>> |
Integrated Arithmetic and Basic Algebra - 4th edition
Summary: KEY MESSAGE:Integrated Arithmetic and Basic Algebra, Fourth Edition, integrates arithmetic and algebra to allow students to see the big picture of math. Rather than separating these two subjects, this text helps students recognize algebra as a natural extension of arithmetic. As a result, students see how concepts are interrelated and are better prepared for future courses. KEY TOPICS: Adding and Subtracting Integers and Polynomials; Laws of Exponents, Products and Quotients of ...show moreIntegers and Polynomials; Linear Equations and Inequalities; Graphing Linear Equations and Inequalities; Factors, Divisors, and Factoring; Multiplication and Division of Rational Numbers and Expressions; Addition and Subtraction of Rational Numbers and Expressions; Ratios, Percents, and Applications; Systems of Linear Equations; Roots and Radicals; Solving Quadratic Equations MARKET: For all readers interested in algebra and basic algebra. ...show less
Ships same or next business day with delivery confirmation. Good condition. May or may not contain highlighting. Expedited shipping availableTEXTBOOKFETCHER! Cortland, NY
0321442555 This is a used item |
Text: Elementary Differential
Equations by Edward and Penney; we will be covering Chapters 1 through 4, plus
other topics if time permits.
You need to have this text on the first day
of class, not at some indeterminate later date (see the next paragraph.) If you
show up on the first day of class without the text, I will take this as a sign
of LACK OF PREPARATION.
In this course, you can learn both techniques
and theory by doing problems. So I am going to assign problems every single
day, starting on day one. They will be collected, graded and returned to you at
the next meeting and will serve as the springboard for what comes next. You
should assign them high priority…I'm not kidding on this.
Daily assignments will count one third of the
grade. The other two thirds will come from a Midterm and a Final.
Let's articulatesome
ground rules:
> First...there will be
ABSOLUTELY NO CELL PHONES, LAPTOPS or any other type of electronic devices in
use during class. Please take care of business and TURN THEM OFF before you
enter the classroom.
>Second…please
DO NOT come to class late as it is disruptive. Be in your seat, mentally alert
and ready to participate, at 9:20 when class begins.
>
Third…If you
get sick or have some other kind of emergency, please get in touch with me as
soon as you can so we can work things out.
> Fourth, classes begin on Wednesday
January 22nd. ( You wouldn't believe it but
in the past some peeps thought they could begin classes on a day of their own
choosing. That was a BIG mistake.)
Assignments:
1)Page 17 # 1,2,3,6,8,9,and 11,12
2)First, in the problem we analyzed in class, with
initial velocity 50 and initial height 100, what is the impact velocity, vTHUD? Next,on page 18, let's do # 24,26 and 31.
3)Page 43 # 4,13, 21, 22,25
4)Page 43 # 33-37
5)Both problems have to do with the logistic equation
which we began discussing in class. First, expand 1/P(150-P)
by partial fractions and integrate. Second, after integrating, show that P/(150 – P) = C e (.06)tWe'll pick it up there next time.
6)Using the
values of k and M postulated in the Verhulst model,
predict the US population values for the years 1845 and 1895. ( These are remarkably accurate.)Next, in the Doomsday/Extinction model
which we started in class, show that if P0 = 200 then Doomsday will
occur sometime in the 23rd year.
7)Page 54 # 1-4,
17, 18, 24. Put each of these in linear form and calculate the integrating
factor. You can stop there. Make two copies…one to hand in and one to keep/
8)Page 54 Finish #1-4, 18 and 24
9)A handout sheet on a linear equation which arises in
connection with a falling body encountering air resistance. YOU KINDA HAD TO BE
THERE.
10)A handout on
exact equations
11)page98 # 2 -12 . As discussed in class, just test each equation to
determine if it is separable, linear or exact (or none of the above) and stop
there…you don't need to solve.
The Midterm
Exam will be on Monday, March 10th
12) page 112 # 33-38
13) On page
134, take problems 3 – 9. Figure out which of them has complex roots and, for
these, write out the general solution.
14) page 145 # 1 and 2
15) page 145 # 3 and 4
16) page 147 # 14 part (a)
17) page 161 # 1, 2, 3
18) page 161 # 31, 32, 33
19) A handout
sheet with a problem on forced oscillations and resonance.
20) page 171 # 11, 12 ( omit finding c1 and c2 )
21) First verify formula (21) on page 168 for
the equations in problems 11 and 12 on page 171 (which we just did for
homework.) ( Your answers for C should besqrt(10)/4 and 5/3 sqrt(29), resp.) Then, do # 17 and 18 on page 171 except
don't bother to graph C as a function of omega
22) A handout
asking you to take the formula for response amplitude in a mechanical system
and convert it to the corresponding formula for an electrical system. I will
leave some copies of the handout on my door. Added on Tuesday morning….it seemed to work
out better for me if I took equation (2) , multiplied top and bottom by omega
(w), then took the w in the denominator into the square root sign, did some
algebra and THEN replaced L by m, R by c, 1/C by k and wE0 by F0
to get the form (1).
23) Compute the
Laplace transforms of :sin(5t),e3t, and cos(t)…do these as improper integrals with limits
and everything as shown in class. ( Who knows? This
may be our last chance to do things this way.)
27)
a) Derive the formula for the Laplace transform of a
second derivative, using the formula for the first derivative. b) Following the
idea in class, derive the formula for L(t3),
L(t4) and then extrapolate toget L(tn) |
I am neither a mathematician nor a maths major student. More likely, I am a dumb person in mathematics especially in three- dimensional geometry. I can't draw an acceptable diagram and apply theorem to proof any questions in my homework. I tried to find a way to became an "average person", but I failed. My question is : are there any books , videos o, classes in college or whatever start to talk about some basic problems in three- dimentional geometry and develop the basic understanding of it? I don't need any answer like " I am sorry that's so bad" or "there are some courses in college talking about geometry, such as 304 or 415." I am hearing these for years!
The question seems quite weird posting here. Give me your suggestions if you don't mind to reduce your maths taste.
To give advice, it would help me if I knew your motivation to learn math. The term "three-dimensional geometry" has many possible interpretations. And I think your difficulty in understanding 3d-geometry courses indicates you might start learning another (easier) part of math first.
–
Konrad VoelkelNov 8 '09 at 22:25
This isn't an appropriate place for your question. Please see the FAQ for some alternatives.
–
Scott Morrison♦Nov 8 '09 at 23:49'm guessing wildly here, but it sounds like you are having difficulty translating between algebraic manifestations of a concept (like with equations) and geometric representations (such as with pictures, or the general idea of objects in space). I don't have any silver-bullet answers, since I also had trouble picking up these sorts of questions.
There are some online resources listed at mathforum.org, and I would also recommend looking at Project MATHEMATICS and The Geometry Center. I don't know how appropriate these are for you, since I'm unable to ascertain your math background. Try not to get too discouraged if something is pitched too high.
I have an off-the-wall suggestion: if you can take an art class that emphasizes perspective studies (perhaps while reading a math book on projective geometry), it might help your visualization skills. It can be beneficial to focus intensively on exactly how the different ways of viewing an object will change the way it appears. |
Linear Algebra Tutorial Videos from the Khan Academy
Fortunately, the Khan Academy, a non-profit educational provider, offers over a hundred videos in linear algebra.
Below are the videos from the Khan Academy:
[tubepress mode ="playlist" playlistValue="FD0EB975BA0CC1E0"]
The above set of linear algebra tutorial videos should give you a very good idea on what linear algebra is. Once you are comfortable with the above concepts in linear algebra you can proceed to more advanced applications on its use. Some of the key concepts given by these videos are: vectors, matrices, vector field, vector space and vector subspaces, eigenvalues, eigenvectors, linear transformations, singular matrices, and other linear algebra concepts.
Important concepts of linear algebra are vector spaces and linear maps between them. In more formal terms, a vector space is a set whose elements can be added together and multiplied by the scalars, or numbers.
In many physical applications, the scalars are real numbers. In general, the scalars may form any field F—thus one can consider vector spaces over the field Q of rational numbers, the field C of complex numbers, or a finite field Fq.
We'll see in future courses in digital communications that the concept of vector spaces have been used in coding theory to correct errors in a digital message.
Vector operations of addition and scalar multiplication will have similar and usual addition and multiplication of numbers: addition is commutative and associative, multiplication distributes over addition, and so on.
Besides the mathematical formalism you need not to get to hung up on the technical details because there are many other applications in using linear algebra.
LINEAR ALGEBRA AND MODERN CONTROL THEORY
For example, Linear algebra concepts have been used in modern control systems. In modern control theory, you have matices A, B, C, D. Used in the following equation
x'=Ax+Bu (where x' denotes first derivative of the state vector x)
y=Cx+Du
where A is the system matrix. When finding the eigenvalues of the system matrix A, you have basically the system poles or it has a physical meaning of vibrational modes of a system such as a building or bridge. the vector x is the state vector. You can think of the displacements at various locations of a bridge as its system state. The matrix B, is the input distribution of the system. Physically, this is how the actuators of a system affect or influence the system by the input u. The matrix C, describes how sensors are distributed in the system and relates the state vector with the output vector y. The matrix D, decsribes how the input u directly affects the output y.
Based on the above description of a system, you can apply a variety of feedback schemes to improve system performance. For example, you can feed back either the state vector x or the output vector y to alter the states and feedback of a system to more desirable ones.
However, the scope of feedback and modern control theory is beyond the scope of this short blog article but hopefully you get an idea of what you can do with linear algebra.
If you are not in the United States, please come visit and replace 90% of our linear algebra professors. I am confident that these 7 minutes of your lecturing make more sense than an entire semester under their instruction. … |
Module 11 Objectives: To be able to use interval notation successfully. Demonstrating the ability to find intersections, unions and compound inequalities. To be able to calculate the absolute value of equations and inequalities. Successfully being able to solve systems of equations with 3 variables. The demonstrated ability to solve applied problems using systems of equations.
Module 12 Objectives: Factoring polynomials including sums and differences of cubes successfully. The demonstrated ability to solve second degree equations by factoring. Calculating, simplifying, and performing operations on rational expressions successfully. To be able to find the LCM's of rational expressions. Demonstrating the ability to divide polynomials.
Module 14 Objectives: Simplify and perform operations on radical expressions successfully. Being able to compute with rational numbers as exponents. Proven evidence of the ability to solve radical equations. To show successful performance of the basic operations of complex numbers.
Module 15 Objectives: Being able to solve quadratic equations using principle of square roots, completing the square and the quadratic formula. Demonstrated ability in applying the concepts learned to solving word problems.
V. Academic Integrity
Students and employees at Oakton Community College are required to demonstrate academic integrity
and follow Oakton's Code of Academic Conduct. This code prohibits:
• cheating,
• plagiarism (turning in work not written by you, or lacking proper
citation),
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• unauthorized changes on official documents,
• pretending to be someone else or having someone else pretend to
be you,
• making or accepting bribes, special favors, or threats, and
• any other behavior that violates academic integrity.
There are serious consequences to violations of the academic integrity
policy. Oakton's policies and procedures provide students a fair
hearing if a complaint is made against you. If you are found to have violated
the policy, the minimum penalty is failure on the assignment and, a disciplinary
record will be established and kept on file in the office of the Vice
President for Student Affairs for a period of 3 years.
Details of the Code of Academic
Conduct can be found in the Student Handbook.
Methods of instruction include one-on-one and/or small group discussion, and required website ancillaries. Calculators/computers will be used. Calculators / computers will be used when appropriate. Course may be taught as face-to-face, media-based, hybrid or online course.
VIII. Course Practices Required
This course will be taught by a classroom instructor with the use of an interactive computer website. Course participants must attend scheduled class hours as well as one computer lab hour per week. Students may be dropped from the course if they miss more than three class sessions or three lab hours.
The course is divided into five modules. Each module must be completed with a minimal post-test score of 80% to proceed to the next module. All course work must be completed in a notebook.
Students may complete a course at any time during the semester. Upon completion of a course, the student can start the next sequential course. A new access code must be purchased at that time. If all modules of a course are not successfully completed within a semester, the student can re-enroll in the same course the following semester beginning with their first uncompleted module.
Course may be taught as face-to-face, media-based, hybrid or online course.
IX. Instructional Materials
Note: Current textbook information for each course and section is available on Oakton's Schedule of Classes.
Textbook information for each course and section is available on Oakton's Schedule of Classes. Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".
Textbooks can also be found at our Mathematics Textbooks page.
A scientific calculator, notebook, and earphones are required.
X. Methods of Evaluating Student Progress
Students must complete the following work with the following minimal scores: Homework, class work, and study plans (unlimited attempts) = 100% Quizzes (unlimited attempts) = 90% Module Post-test = 80% Grades will be awarded based on the average of the module post-tests as follows: C 80-86 B 87-93 A 94-100
If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program. |
Introduction to Difference Equations
Introduction to Difference Equations
"The highest standards of logical clarity are maintained." — Bulletin of The American Mathematical Society Written with exceptional lucidity and care, this concise text offers a rigorous introduction to finite differences and difference equations-mathematical tools with widespread applications in the social sciences, economics, and psychology. The exposition is at an elementary level with little required in the way of mathematical background beyond some facility with standard algebraic techniques and the essentials of trigonometry. Moreover, the author explains when needed such relevant ideas as the function concept, mathematical induction, binomial formula, de Moivre's Theorem and more. The book begins with a short introductory chapter showing how difference equations arise in the context of social science problems. Chapter One then develops essential parts of the calculus of finite differences. Chapter Two introduces difference equations and some useful applications in the social sciences: compound interest and amortization of debts, the classical Harrod-Domar-Hicks model for growth of national income, Metzler's pure inventory cycle, and others. Chapter Three treats linear differential equations with constant coefficients, including the important question of limiting behavior of solutions, which is discussed and applied to a variety of social science examples. Finally, Chapter Four offers concise coverage of equilibrium values and stability of difference equations, first-order equations and cobweb cycles, and a boundary-value problem. More extensive coverage is devoted to the relatively advanced concepts of generating functions and matrix methods for the solution of systems of simultaneous equations. Throughout, numerous worked examples and over 250 problems, many with answers, enable students to test their grasp of definitions, theorems and applications. Ideal for an undergraduate course or self-study, this cogent treatment will be of interest to all mathematicians, and especially to social scientists, who will find it an excellent introduction to a powerful tool of theory and research. |
Learning Outcome 1: The student will demonstrate an understanding of elementary row operations and their applications.
Learning Outcome 2: The student will demonstrate an understanding of determinants, eigenvalues and eigenvectors.
Learning Outcome 3: The student will understand the basic theory of vector spaces involving linear maps between them, kernel and range, basis and dimension, and the construction of an orthonormal basis. |
Different colleges and universities have very different expectations for your high school preparation in math. An engineering school like MIT will expect more preparation than a predominantly liberal arts college like Smith. However, a difficulty arises because the recommendations for high school preparation in math are often unclear, especially when you're trying to distinguish between what is "required" and what is "recommended."
High School Preparation in Math - From College Websites
Here's how several different colleges phrase their requirements:
MIT: "A strong academic foundation in high school both improves your odds of getting into MIT and will help you make the most of the Institute when you're here. We recommend that your high school years include...math through calculus"
(
Carleton College: "The strongest candidates for admission to Carleton have taken...three or more years of mathematics. ...At a minimum, applicants should have at least two years of algebra and a year of geometry"
(
Smith College: "There is no typical applicant to Smith and no typical academic program, but it is strongly recommended that a student prepare for Smith by taking the strongest courses offered by her high school. Where possible this should include...three years of mathematics"
(
University of Texas at Austin: "3 units (4 recommended) at the level of Algebra I or higher: algebra, plane geometry, trigonometry, analytic geometry, elementary analysis, probability and statistics, solid geometry, calculus with analytic geometry, or number theory. Informal geometry, pre-algebra, and mathematics of money are below-achievement-level courses and may not be counted toward the mathematics requirements.
Strongly recommended: If you're interested in studying architecture, business, geosciences, natural sciences, or other technical fields, you should prepare by taking math every year of high school."
(
Harvard University: Well, check out their requirements on the Harvard website. Essentially, in over 500 words they say that it's more important to think deeply about math than it is to take calculus.
What Does This All Mean?
Very few colleges have a definite requirement of calculus or four years of math. A college doesn't want to be in a position where they have to reject an otherwise well-qualified applicant because of a lack of calculus.
That said, take the "strongly recommended" guidelines seriously. For most colleges, your high school record is the single most important component of your application. It should show you've taken the most challenging courses possible, and your success in upper-level math courses is a great indicator that you can succeed in college.
A 4 or 5 on one of the AP calculus exams is about the best evidence you can provide of math readiness, but most students don't have that score available at the time applications are due.
The chart below sums up the math recommendations of a range of colleges and universities: |
Kisi Kisi Soal Matematika Kls 6 |
Teaching
Currently teaching TMATH 124 - Calculus 1
I consider myself fortunate that so early in my career I have taught a wide variety of students high school and college, engineering, liberal arts, traditional, non-traditional, minority and even at-risk students. What I have noticed about all of these students is how much harder they work, and how much better they learn, when they feel that what they are studying is relevant to their lives or somehow connected to what they already know. I feel that there are several ways that we as educators can help students better understand math and better enjoy their mathematics experience.
Firstly, I feel it is mandatory that we do not forget what it feels like to be on the other side of the big desk when we teach. It is easy to forget what it feels like to be confused and not understand things, especially when the concepts come so easily to us. It is imperative that we understand what kinds of misconceptions our students are likely to bring with them to our classes, and we must know how to help them overcome their misconceptions. With the myriad of teaching styles and techniques out there, it is impossible to know exactly what each student does or does not already know without taking the time to get to know each of them individually and evaluating their personal strengths and weaknesses. I know that this can be a time-consuming process, and most would argue that it is impossible to spend this kind of time in a typical class. However, I feel that it is a necessary first step if we want to break the cycle of confusion, frustration and anger that struggling students experience when they try to learn additional materials with a shaky foundation and/or misconceptions.
Secondly, we all know that the majority of students we teach in lower-level math courses are not mathematics majors. However, these students have a broad range of previous or concurrent coursework that we can use to further their education, and if we show our students how the concepts of algebra, calculus and other lower-level mathematics affect their own subjects and coursework, they can build upon those connections and have a much better grasp of the material. In addition, seeing how mathematics affects other areas can only increase their interest and effort. By grounding the material in real-world examples, they are able to create relationships with concepts they already understand, and thus learn new concepts that are more complicated.
A final benefit to seeing the usefulness and applicability of mathematics to a variety of disciplines can be an increase in the number of students who ultimately choose mathematics or mathematics teaching as their major.
Another way to increase the perceived relevance of mathematics and hopefully the enjoyment level in the classroom is to present problems using alternative teaching styles, especially those that take advantage of technology. By using graphing calculators and computers, we are able to present students with questions that more closely resemble real-life applications. Students become jaded when all critical points occur at nice, integer values. When the data involved appears to be real, the students learn better because they more readily buy into the usefulness of the material being discussed. Technology in the classroom allows students to investigate problems with messy values or problems that would otherwise be too intense or advanced for them to attempt. Whether or not they are able to complete the more advanced problems is not as important as the mere fact that they are able to investigate more in depth concepts. I feel the most valuable use of technology in the classroom is the ability to allow students the opportunity to investigate difficult problems that will in turn stimulate their curiosity and ultimately lead to stronger mathematics skills in general.
Finally, I think that we need to make a concerted effort as math instructors to reach all of our students. Because many of our introductory courses service other departments, we spend a large amount of time getting students to a minimal level of passing through office hours, review sessions, etc. Often I feel that the better students, those A or B students who do not need as much assistance, get shortchanged because we do not see them as much as those students that are struggling. A student that goes away unchallenged is just as bad as one that goes away frustrated and confused. By making our courses more relevant and building on each students own body of knowledge and level of understanding, we can give every student a chance to satisfy their academic curiosities and fulfill their potentials. The benefits for them, and for us, can be tremendous.
Selected Publications
Invited Speaker. California Mathematics Project (CMP) Mathematics Teacher Retention Symposium. As part of the CMP STIR initiative, the goal of the symposium is to increase the retention of teachers of mathematics in the profession and within the school. My presentation was a summary of the results of my dissertation research into the effects of induction on new teacher retention using the Beginning Teacher Longitudinal Study (BTLS) database from the NCES. (Mar, 2012)
Professional Service
Honors and Awards
Doctoral Academy Fellow 2010 & 2011 - The Graduate School offers Doctoral Academy Fellowships to doctoral students to supplement either a graduate teaching assistant or graduate research assistant position. Fellowships are awarded to students upon the recommendation of the departmental chair and subsequent approval of the academic dean and the Graduate Dean. Approximately 40-45 Doctoral Academy Fellowships are available each year. Qualified students may be nominated throughout the year by the chairs/heads of participating departments. I was awarded the fellowship ever year that I was a full-time graduate student. |
This answer key accompanies BJU Press' Math Fundamentals Student Activity Manual. Full-size reproductions of the student pages have the correct answers overlaid in red ink. Page numbers where the concepts may be found are NOT included. 294 pages, spiral bound, softcover.
This resource is also known as Bob Jones Fundamentals of Math Grade 7 Student Activity Manual Teacher's Edition, 2nd Edition.
Product:
Fundamentals of Math 7 Student Activities Answer Key (2nd Edition)
Vendor:
BJU Press
Edition Number:
2
Edition Description:
Teacher
Binding Type:
Paperback
Media Type:
Book
Minimum Grade:
7th Grade
Maximum Grade:
7th Grade
Weight:
0.126 pounds
Length:
11 inches
Width:
8.5 inches
Vendor Part Number:
262634
Subject:
Math Fundamentals of Math 7 Student Activities Answer Key (2nd Edition).
Average Rating
Parent Rating
Comments
We used the DVD's for BJU. I have to say my children did not find them easy to watch. They felt the instructor was quite boring. My husband felt that a lot of the lessons should have been simplified for better understanding. He often stopped the DVD to teach them an easier way to work the problems. |
Blawenburg CalculusWith the extensive use of analogies and examples, I transform even the most advanced concepts and intricate details into an easily understood and readily recallable framework of knowledge. I emphasize visualization and creating connections between new material and old material to better store in... |
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a...
see more
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form.PDF versions are available to download for printing or on-screen viewing, an online version is available, and physical copies may be purchased from the print-on-demand service at Lulu.com. GNU Free Documentation License
The book provides a thorough introduction to "modern'' or "abstract'' algebra at a level suitable for upper-level...
see more
The book provides a thorough introduction to "modern'' or "abstract'' algebra at a level suitable for upper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme.•The" target=״_blank״ Concepts Book provides conceptual explanations, and is intended as a reference or review guide for students; it is not used when teaching the class." •The" the Conceptual Explanations part of Kenny Felder's course in Advanced Algebra II. It is intended for students to...
see more
This is a free textbook by Boundless that is offered by Amazon for reading on a Kindle. Anybody can read Kindle books—even...
see more
This is a free textbook by Boundless that is offered by Amazon for reading on a Kindle. Anybody can read Kindle books—even without a Kindle device—with the free Kindle app for smartphones and tablets. Download the app for your device and start reading for free.'The Boundless Algebra textbook is a college-level, introductory textbook that covers the important subject of Algebra -- one of the basic building blocks of studies in higher mathematics. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.This textbook covers:The Building Blocks of Algebra -- Real Numbers, Exponents, Scientific Notation, Order of Operations, Working with Polynomials, Factoring, Rational Expressions, Radical Notation and Exponents, Basics of Equation SolvingGraphs, Functions, and Models -- Graphing, Functions: An Introduction, Modeling Equations of Lines, Functions Revisited, Algebra of Functions, TransformationsFunctions, Equations, and Inequalities -- Linear Equations and Functions, Complex Numbers, Quadratic Equations, Functions, and Applications, Graphs of Quadratic Functions, Further Equation Solving, Working with Linear InequalitiesPolynomial and Rational Functions -- Polynomial Functions and Models, Graphing Polynomial Functions, Polynomial Division; The Remainder and Factor Theorems, Zeroes of Polynomial Functions and Their Theorems, Rational Functions, Inequalities, Variation and Problem SolvingExponents and Logarithms -- Inverse Functions, Graphing Exponential Functions, Graphing Logarithmic Functions, Properties of Logarithmic Functions, Growth and Decay; Compound InterestSystems of Equations and Matrices -- Systems of Equations in Two Variables, Systems of Equations in Three Variables, Matrices, Matrix Operations, Inverses of Matrices, Determinants and Cramer's Rule, Systems of Inequalities and Linear Programming, Partial FractionsConic Sections -- The Parabola, The Circle and the Ellipse, The Hyperbola, Nonlinear Systems of Equations and InequalitiesSequences, Series and Combinatorics -- Sequences and Series, Arithmetic Sequences and Series, Geometric Sequences and Series, Mathematical Inductions, Combinatorics, The Binomial Theorem, Probability'
" Algebra for College Students is designed to be used as an intermediate level text for students who have had some prior...
see more
" Algebra for College Students is designed to be used as an intermediate level text for students who have had some prior exposure to beginning algebra in either high school or college. This text explains the why's of algebra, rather than simply expecting students to imitate examples
This is a free, online textbook offered in conjunction with MIT's OpenCourseWare. "Over the last 100 years, the mathematical...
see more
This is a free, online textbook offered in conjunction with MIT's OpenCourseWare. "Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These sophisticated tools provide powerful machinery for describing the physical world, however, their physical interpretation is often not intuitive. These course notes represent Prof. Tisza's attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics. Prof. Tisza revisits many elementary problems with an advanced treatment in order to help develop the geometrical intuition for the algebraic machinery that may carry over to more advanced problems.״
This is a free, online textbook that is a wikibook. "This book will help you learn how to do mathematics using Algebra. It...
see more
This is a free, online textbook that is a wikibook. "This book will help you learn how to do mathematics using Algebra. It has chapters (parts of the book) with lessons (parts of the chapter about one idea). A lesson has five parts: 1.Vocabulary - gives special words you need for the lesson. 2.Lesson - gives a new idea and how to use this idea. 3.Example Problems - gives the steps to do problems using the new idea. 4.Practice Games - gives places for amusement where you do problems. 5.Practice Problems - You do problems.״ |
approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation.
* Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals * Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations * Weaves numerous applications into the text * Helps students learn by doing with a wealth of examples and exercises: - 560 examples worked out in detail - More than 3,700 exercises - More than 150 computer assignments - More than 600 writing projects * Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises * Features interesting anecdotes and biographies of 60 mathematicians and computer scientists * Instructor's Manual available for adopters * Student Solutions Manual available separately for purchase (ISBN: 0124211828) less |
Math of All Students
the technical math courses needed for your technology courses teaching the right math requirements? Please see this web site for ways to improve and enhance your math offerings. AMATYC has funding for the NSF CCLI grant, The Right Stuff, to provide mathematics faculty with resources that will enable them to explore best practices for college algebra. This award provides funds to construct, deliver, and evaluate a strand of AMATYC Traveling Workshops that will assist faculty who wish to explore best practices for their college algebra course.Thu, 10 Feb 2011 03:00:03 -0600A Vision: Mathematics for the Emerging Technologies
web page provides a preliminary look at the pedagogy behind a vision to improve the teaching of mathematics and to provide math relevant to students studying emerging technologies. Recommendations stress critical thinking, problem solving, communication, and the use of all levels of Blooms Taxonomy in structuring problems. Its emphasis is on integrating math across all disciplines, incorporating soft skills, modeling, and using oral, written, and graphic means to report.Wed, 25 Nov 2009 03:00:02 -0600Sociology & Biology of Human Disease Susanne Bohmer and Jenny McFarland of Edmonds Community College created this particular resource. In it they use principles and examples from the fields of sociology and biology to enhance the learning experience of students in a math class. The "Course Summary" provides detailed information about the course, as well as goals and learning objectives for students. "Generating Hypotheses" is an exercise for students centered around regional child mortality rates. There are two worksheets for students to complete in conjunction with this exercise. The worksheets provide definitions and example equations to help students understand the underlying mathematical principles of the exercise.Wed, 8 Oct 2008 03:00:05 -0500Modeling Energy Dynamics in Everyday Life
course, created by Kathleen Perillo and Bill Monroe of Clark College, combines environmental science and math in a project-based, group-oriented class. Interpretation and analysis of graphs and models are implemented while exploring topics such as energy consumption and conservation. This website provides examples of mathematically based labs dealing with environmental issues, as well as worksheets to further solidify concepts. This is a great resource for educators who are looking to "go green" in the classroom.Tue, 23 Sep 2008 03:00:02 -0500Business Calculus This resource from Patrick Averbeck of Edmonds Community College focuses on the use of calculus in the business field. Included in this resource is a student assignment titled "Linear vs. Exponential worksheet." This is a great resource for students and teachers, and can be easily implemented in the classroom.Mon, 22 Sep 2008 03:00:02 -0500Rivers of Identity: The Nature of Being Human
Central Community College offers this course on the biodiversity of the Pacific Northwest. The course aims to help students understand how environmental justice affects their lives, cultural communities, and identities. Each week's class has a section in which mathematical concepts are used to understand and organize the information learned about. This is an 18-credit course that actually encompasses five or more separate classes with the same theme: biodiversity in the Seattle area. As a result, departmental separations disappear, and the interactions of many disciplines becomes apparent.Thu, 18 Sep 2008 03:00:02 -0500Policy Studies
of the University of Washington, Bothell Campus, have designed this course that aims to apply scientific and mathematical discovery to social science questions. Students are trained "to conduct surveys, experimental designs, code interviews, and even create a multiple regression of social science questions." The detailed syllabus is accompanied by a thorough reading list and descriptions of the assignments, which will enable instructors to design similar coursework at other universities.Thu, 18 Sep 2008 03:00:02 -0500AMATYC Position Statement on Equal Opportunity Equal Opportunity in Mathematics. In this short statement, readers can learn what AMATYC supports and their recommendations for addressing the need for equal opportunity to be provided to all students regardless of age, physical challenge, gender, race, or ethnicity.Thu, 18 Sep 2008 03:00:02 -0500General Education Biology College Algebra
learning community, created by Juan Morata and Miguel Montanez, integrates biology and algebra through joint group projects, joint case studies, and class examples and exercises. Through the integrated approach, the project aims have students understand the field of Biology quantitatively, be able to apply mathematics in an authentic context, and overcome math anxiety. The course also includes a service learning component with a minimum of 20 hours per student to complete the project. The page contains a 16-page PDF excellent for educators to use as an in-class lecture and activity guide.Wed, 10 Sep 2008 03:00:05 -0500AMATYC Placement and Assessment Committee
mission of the Placement and Assessment Committee (PAC) of AMATYC is to serve as a "resource or clearinghouse for the AMATYC membership on issues related to placement and assessment of students, courses, and programs in mathematics at two-year colleges." On their site, visitors can find assessment projects from educators, AMATYC position statements, helpful external links, PAC's newsletters, information about members, and highlights from past PAC meetings.Tue, 9 Sep 2008 03:00:04 -0500AMATYC Initial Placement Position Statement Initial Placement for mathematics curriculum in two-year colleges. The document will prove helpful to those looking to develop their own procedures on initial placement.Tue, 9 Sep 2008 03:00:04 -0500Political Science
course seeks to explain how the exercise of government affects daily lives using statistical analysis and mathematical concepts. In particular, the website provides polling projects wherein students take polls and analyze the responses in a practical use of mathematics applied to varied answers. The results can be used to write analytical papers and help students understand how mathematical concepts must be used in order to quantify the behavior and opinions of individuals.Tue, 9 Sep 2008 03:00:01 -0500Computer Programming and Discrete Mathematics: A Learning Community
by Patrick and Nannette Bibby at Miami Dade College, this learning community combines courses in Discrete Mathematics and C++ Programming integrating mathematical topics such as set theory, relations, and combinatorics with programming topics such as algorithms, selection structure, and sequential files. Visitors will also find sample student projects and the resulting C++ program code. This is a helpful resource for any programming or discrete mathematics classroom.Wed, 20 Aug 2008 03:00:06 -0500Economics and Math: Managerial Economics and Marketing Pete Nye and Cinnamon Hillyard from the University of Washington, Bothell Campus created this particular resource, which focuses on economics and mathematics. The "Course/Project Description" document provides a brief description of the course, outcomes for the project, and learning outcomes for students. "The Catalog Project" provides students with the opportunity to apply the principles of mathematics and economics that they have learned to a "real world" business situation. Other resources included in this project are a "Catalog Case Draft," "Financial Overview,"and "Financing Requirements and Financial Impact." This is an excellent resource for students and teachers, which can be easily incorporated into the classroom.Tue, 19 Aug 2008 03:00:07 -0500Math for Elementary Teachers II : Inquiry into Life Science
four-class learning community, created by faculty at North Iowa Area Community College, will provide an integrated curriculum experience for the final semester of elementary education majors focusing on integrating math into the science and education curricula. Along with a Course Overview and a description of the Core Components, this page outlines a lesson in which students are asked to design a lesson for elementary science learners – students are allowed to choose between biology, genetics, plants, ecosystems, homeostasis, and microbes - which incorporates mathematical concepts.Tue, 19 Aug 2008 03:00:03 -0500 |
Web Site Webmath.com This is a dynamic math website where students enter problems and where the site's math engine solves the problem. Students in most cases are given a step-by-... Curriculum: Mathematics Grades: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
8.
9.
Web Site Dave's Short Trig Course Check out the short trigonometry course and learn the new way of learning trig. This short course breaks into sections and allows user to learn at his/her o... Curriculum: Mathematics Grades: 9, 10, 11, 12 |
The Humongous Book of Geometry Problems Translated for People Who Don't Speak MathFollowing the footsteps of the successful The Humongous Books of Calculus Problems, bestselling math book author Mike Kelley has taken what appears to be a typical geometry workbook, chock full of solved problems, and made notes in the margins adding missing steps and simplifying concepts and solutions so that what would be baffling to students is made perfectly clear. No longer will befuddled students wonder where a particular answer came from or have to rely on trial and error to solve problems. And by learning how to interpret and solve problems as they are typically presented in algebra courses, students become fully prepared to solve those difficult, obscure problems that were never discussed in class but always seem to find their way onto exams. Inside the book- - 544 pages including 1000 problems to be solved. - Step by step solutions. - Annotated notes. The first book in this series, The Humungous Book of Calculus Problems, has been a successful title for Alpha, having sold more than 21,000 copies (worldwide) since its release in January, 2007.
W. Michael Kelley is an award-winning math teacher and the author of seven math books including The Humongous Book of Calculus Problems and The Humongous Book of Algebra Problems. Mr. Kelley is also the founder and editor of calculus-help, which helps thousands of students every month conquer their math anxiety. |
Precalculus
9780077221294
ISBN:
007722129X
Edition: 3 Pub Date: 2008 Publisher: McGraw-Hill Companies, The
Summary: The Barnett Graphs & Modelsseries in college algebra and precalculus maximizes student comprehension by emphasizing computational skills, real-world data analysis and modeling, and problem solving rather than mathematical theory. Many examples feature side-by-side algebraic and graphical solutions, and each is followed by a matched problem for the student to work. This active involvement in the learning process helps... students develop a more thorough understanding of concepts and processes. A hallmark of the Barnett series, the function concept serves as a unifying theme Applications included throughout the text give the student substantial experience in solving and modeling real world problems in an effort to convince even the most skeptical student that mathematics is really useful.
Barnett, Raymond A. is the author of Precalculus, published 2008 under ISBN 9780077221294 and 007722129X. Four hundred thirteen Precalculus textbooks are available for sale on ValoreBooks.com, one hundred sixty two used from the cheapest price of $19.01, or buy new starting at $180.38 |
Calculus With Finite Mathematics - 2nd edition
ISBN13:978-0618372133 ISBN10: 061837213X This edition has also been released as: ISBN13: 978-0618539611 ISBN10: 0618539611
Summary: The Second Edition of this engaging text for the two-semester applied calculus and finite mathematics course continues to use intriguing, real-world applications to capture the interest of business, economics, life, and social science majors. This practical approach to mathematics, along with the integration of graphing calculators and Excel spreadsheet explorations, exposes students to the tools they will encounter in future careers.
Summaries and reviews ...show moreappear frequently throughout the text to support students' mastery of mathematical concepts. A wealth of pedagogy includes the following distinctive features: detailed Worked-out Examples with Annotations help students through more challenging concepts; Practice Problems are offered to help students check their understanding of concepts presented in the examples; Section Summaries briefly restate essential formulas and key concepts; Chapter Summary with Hints and Suggestions unify chapter themes, give specific reminders, and reference problems in the review exercises suitable for a practice test; and Cumulative Review Exercises appear at the end of groups of chapters to reinforce previously learned concepts and skills.
Graphing Calculator Examples and Exercises located throughout the text explore new topics, guide students through "messy" calculations, or show technology pitfalls. These are optional and may be omitted without disrupting the flow or cohesion of the text.
Application Previews place mathematics in a real-world context and motivate students' interest in the material. Some examples of the diversity of applications covered include sports, genetic engineering, spread of disease, gambling, business, and environmental issues.
Annotations beside many formulas and solution steps emphasize the importance of being able to "read mathematics" by restating much of the mathematics in words2574 +$3.99 s/h
Good
One Stop Text Books Store Sherman Oaks, CA
2004-02-23 Hardcover Good Expedited shipping is available for this item!
$33.95 +$3.99 s/h
Good
LotsofBooks Nashville, TN
No comments from the seller
$36.49 +$3.99 s/h
Good
Books Revisited Chatham, NJ
Possible retired library copy, some have markings or writing.
$38.84 +$3.99 s/h
Good
Big Planet Books Burbank, CA
2004-02-23 Hardcover Good Expedited shipping is available for this item!
$86115.00 +$3.99 s/h
New
bluehouse acton, MA
Brand new.
$122 |
Pre-Calculus for Dummies - 2nd edition
Summary: The. With this guide's help you'll quickly and painlessly get a handle on all of the concepts - not just the number crunching ...show more- and understand how to perform all pre-calc tasks, from graphing to tackling proofs. You'll also get a new appreciation for how these concepts are used in the real world, and find out that getting a decent grade in pre-calc isn't as impossible as you thought.
Updated with fresh example equations and detailed explanations
Tracks to a typical pre-calculus class
Serves as an excellent supplement to classroom learning
If ''the fun and easy way to learn pre-calc'' seems like a contradiction, get ready for a wealth of surprises in Pre-Calculus For Dummies! |
This website is intended for students for whom English is a Second
Language. What makes this course applicable to the math world is that the assigned essay requires mathematical support and graphing as an illustration...
This website provides the syllabus of an interdepartmental unit on English, Math, and Science. Students discuss all three of these subjects and realize their essential interaction across the arbitrary divide of academic...
Through the ages, various forms of visual expression have implicitly (and explicitly) drawn on a variety of mathematical principles. The people at the Center for Cultural Design at Rensselaer Polytechnic Institute are...
This excellent site, from LessonCorner, helps educators create customized math worksheets for students of all levels. Creating worksheets is free, and visitors can also name them what they wish and print them to...
The Mathematical Association of America (MAA) has been involved in a number of new initiatives as of late, and one such project is the "Resources for Undergraduate Research". This series brings together topical... |
More About
This Textbook
Overview
This book presents the traditional content of Precalculus in a manner that answers the age-old question of "When will I ever use this?" Highlighting truly relevant applications, this book presents the material in an easy to teach from/easy to learn from approach.
Related Subjects is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, Precalculus, and Trigonometry all published by Pearson.
Read an Excerpt
PREFACE:
Preface
Today's college algebra students are a diverse group. Some are going on into precalculus, calculus, or other math sequences, whereas others will complete their math requirements with this courseballoons allowQuadratic Functions. Polynomial Functions and Their Graphs. Dividing Polynomials: Remainder and Factor Theorems. Zeros of Polynomial Functions. More on Zeros of Polynomial Functions. Rational Functions and Their Graphs. Modeling Using Variation.
Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Partial Fractions. Systems of Nonlinear Equations in Two Variables. Systems of Inequalities. Linear Programming.
6. Matrices and Determinants.
Matrix Solutions to Linear Systems. Inconsistent and Dependent Systems and Their Applications. Matrix Operations and Their Applications. Multiplicative Inverses of Matrices and Matrix Equations. Determinants and Cramer's Rule.
Preface
Preface
Today's college algebra students are a diverse group. Some are going on into precalculus, calculus, or other math sequences, whereas others will complete their math requirements with this course balloonsallow |
Find a Talmo Precalculus TutorBut, in reality, if you break each theorem down into common sense (often with a quick sketch) then a hazy notion or idea can turn into a clear understanding instantly. MS Word is the international standard for producing text. Mastery of Word makes it easy to produce tip-top professional-looking documents with more resources available than most of us can imagine |
Mathematics
Taking classes in mathematics at Cornell has some big advantages over other schools. On the block plan, every student in a math class has only that class to worry about, and every professor only has to teach one class. This means that there are lots of opportunity for one-on-one help for the students that inevitably do not quite understand what they are studying. In addition, the block plan makes it easy for a student to do an internship for a month, with no other classes to worry about.
I am currently taking Linear Algebra, my third math class at Cornell. Here is an example of one of our homework assignments. |
Secondary Curricula
An integrated approach to teaching secondary mathematics.
Carnegie Learning Integrated Math I-III is a three course series that weaves together numeric, algebraic, geometric, and statistical curricula.
Please use the tabs below to learn more about the features and contents of this curricula and its various implementation options. Use the content browser on the left to view videos and image galleries of the curricula.
Integrated Math I
Organizing Single Variable Data
Patterns and Linear Functions
Proportional Reasoning
Modeling Situations Using Multiple Representations
Linear Equations: Solving, Graphing, Intercepts, and Slopes
Area and Perimeter
The Geometry and Algebra of Right Triangles
Quadratics
Statistical Analysis
Probability
Integrated Math II
Tools of Geometry
Introduction to Proof
Properties of Triangles
Similarity Through Transformations
Congruence Through Transformations
Using Congruence Theorems
Properties of Quadrilaterals
Trigonometry
Circles
Arcs and Sectors of Circles
Three-Dimensional Figures
Introduction to Quadratic Functions
Polynomials and Quadratics
Solving Quadratic Equations and Inequalities
Real Number System
Other Functions and Inverses
Shapes on the Coordinate Plane
Circles and Parabolas
Probability
More Probability, and Counting
Integrated Math III
Interpret Data in a Normal Probability Distribution
Make Inference and Justify Conclusions
Make Decisions Using Complex Probability Models
Searching for Patterns
Quadratic Functions
Graphs of Polynomial Functions
Polynomial Expressions and Equations
Polynomial Modeling
Sequences and Series
Graphs of Rational Functions
Rational Expressions and Equations
Radical Functions
Graphs of Exponential and Logarithmic Functions
Exponential and Logarithmic Expressions and Equations
Mathematical Modeling
Graphs of Trigonometric Functions
Trigonometric Expressions and Equations
Features of our Textbooks
Research-based
Designed for a collaborative, student-centered classroom
The classroom environment promotes discourse, collaborative work and depth of understanding
Students engage in problem solving, communication and reasoning while making connections using multiple representations
Students take ownership of their learning, making notes using their texts like a workbook
Recommended for 40% (or two class periods/week) of the total instructional time in a course, the software is most often accessed via a web delivery model using the Carnegie Learning Online website. It can be delivered via a standalone installation, network/LAN, or remote-hosted local client-server model.
Our Integrated Math content can be delivered in a blended course format, with a combination of collaborative, student-centered textbook lessons and adaptive Cognitive Tutor software lessons. Can be used as core instruction.
Carnegie Learning Integrated Math content can be delivered via textbooks that support a collaborative classroom. Our classroom activities address both mathematical content and process standards. Students develop skills to work cooperatively to solve problems and improve their reasoning and communication skills.
Success Stories |
MA 125 Intermediate Algebra Chamberlin, Samuel To understand mathematics students must be active learners. They must work many problems both inside and outside of the classroom. The problems assigned should vary in difficulty so that every student is challenged but not overwhelmed. Students should seek out help before becoming frustrated and discouraged No late submissions of homework or make up quizzes, or exams are allowed except in the case of an unplanned documented emergency. (documentation will be required in the form of a doctor's note, accident report, etc.)
Classroom Rules of Conduct: Please silence all electronic devices and refrain from talking except to participate in class.
Course Topic/Dates/Assignments: Tentative Schedule
Class
No.
Date
Day
Section(s)
Covered
1
8/15
M
Syllabus, 1.1
2
8/17
W
1.2
3
8/19
F
1.3
4
8/22
M
1.4
5
8/24
W
2.1
6
8/26
F
2.2
7
8/29
M
2.3
8
8/31
W
2.5
9
9/2
F
2.6
No Class Labor
Day
9/5
M
No Class Labor
Day
10
9/7
W
3.1
11
9/9
F
3.2
12
9/12
M
3.3
13
9/14
W
4.1
14
9/16
F
4.4
15
9/19
M
Review for Exam
1
16
9/21
W
Exam 1
17
9/23
F
5.1, 5.2
18
9/26
M
5.3
19
9/28
W
5.4
20
9/30
F
5.5
21
10/3
M
5.5
22
10/5
W
6.1
23
10/7
F
6.2
No Class Fall
Break
10/8-10/16
No Class Fall
Break
24
10/17
M
6.2
25
10/19
W
6.3
26
10/21
F
6.5
27
10/24
M
Review for Exam
2
28
10/26
W
Exam 2
29
10/28
F
7.1
0
10/31
M
7.1
31
11/2
W
7.2
32
11/4
F
7.2
33
11/7
M
7.3
34
11/9
W
7.3
No Class
Veteran's Day
11/11
F
No Class
Veteran's Day
35
11/14
M
8.1
36
11/16
W
8.2
37
11/18
F
8.3
38
11/21
M
9.1
39
11/23
W
9.2
No Class
Thanksgiving
11/25
F
No Class
Thanksgiving
40
11/28
M
9.2
41
11/30
W
Review for Final
Exam
42
12/2
F
Review for Final
Exam
Final Exam Week
12/5-12/9
Final
Exam |
PEMDAS: A Method for Remembering Order of Operations This video demonstrates solving a problem involving order of operations using PEMDAS as a memory technique. The problem appears on a white board and is solved step-by-step as a narrator explains the steps. ( 1:13) Author(s): No creator set
Finding the Domain of a Function - Problem 3 of 4 This video is a continuation and presents a more challenging example problem that demonstrates how to find the domain of a function that involves a polynomial inequality. (3:11) Author(s): No creator set
screencastfilmpje: Pomp je geld in de pomp, de oorzaak van de stijgende olieprijzen in 2011
Author(s): No creator set
License information
Related content
No related items provided in this feed
College Physics OpenStax College
This introductory, algebra-based, twoMichael Buckley: 2011 National Book Festival Michael Buckley appears at the 2011 National Book Festival.
Speaker Biography: Michael Buckley is the author of two New York Times best-selling series for children: "The Sisters Grimm," a "Today" show Al Roker Book Club pick, and "NERDS." He has also written and developed shows for the Cartoon Network, Nickelodeon and Discovery Channel. Author(s): No creator set
Notes on the Synthesis of Form Every For a good fit to occur in practice, one vital condition must be satisfied. It must have time to happen. In slow-changing, traditional, unselfconscious cultures, a form is adjus Author(s): Alexander, Christopher W.
License information
Related content
Rights not set
No related items provided in this feed
2008.05.21 - Ruby on Rails (Video) OS X 10.5 is advertised as the premier platform for Ruby on Rails development. The Rails framework and several related tools now come bundled with the operating system. Author(s): No creator set
Marbled Crayfish Egg Development v1 Marmorkrebs - Volume One: Five Month old Marbled Crayfish with first clutch of eggs! First we see an advanced stage of eggs where you... Author(s): No creator set
License information
Related content
No related items provided in this feed
Teacher's guide to the Holocaust: literature The Literature section of the online Teacher's guide to the Holocaust, provides a practical guide to Holocaust literature for educators, researchers and students. Part of a broader site, these pages outline the scope and diversity of literary writing related to the Holocaust. Divided into seven sub-sections, these pages cover: writing by victims; survivor testimonies; accounts of resisters; narratives about rescuers; texts which offer an insight into the cultural, social and political context in Author(s): No creator set
License information
Related content
No related items provided in this feed
Tree House Weather Kids: Air Pressure and Wind This is not a streaming video but an interactive online book. It could be used in the classroom in numerous ways and at numerous levels. This book discusses air pressure and wind. It is divided into 4 chapters: "Ocean of Air Pressure," "Measure of Air Pressure," "Winds," and "Measure Winds." Author(s): No creator set
How a Hurricane is Born - The Science Of Superstorms A fascinating look at how a little girl walking in the sand of the African desert could cause a hurricane 4000 miles away in the USA. Some scenes may be too unsettling for very young children. Suitable for older elementary, middle school, and high school students. Author(s): No creator set
License information
Related content
No related items provided in this feed
Duskytail Grouper--An Overview This very short video gives excellent real life, close up footage of a Duskytail Grouper. The robust, elongate body of the duskytail grouper is brownish to purplish-grey in color and covered with numerous small, yellow, orange or gold spots. While the dorsal fin and the upper third of the caudal fin are spotted, the lower two thirds of the caudal finare dusky in colour, hence the common name. This is a great resource to help build background knowledge and to help ma Author(s): No creator set |
A clear and consistent, step-by-step approach to calculations and administration makes it easy to understand.
Ratio and Proportion, Formula, and Dimensional Analysis content provides you with well-rounded coverage.
Pretest and post-test help identify strengths and weaknesses in competency of basic math before and assess your comprehension after Unit One: Math Review.
Points to Remember boxes highlighted in each chapter help you remember important concepts.
Critical thinking information that should be applied in the clinical setting to help avoid drug calculation and administration errors is boxed throughout the text.
Full-color illustrations, photographs, and drug labels familiarize you with what you'll encounter in the clinical setting.
Current recommendations from The Joint Commission and Institute for Safe Medication Practices are followed throughout.
Caution boxes identify issues that may lead to medication errors and strengthen actions that must be taken to avoid calculation errors.
Tips for Clinical Practice calls attention to information critical to math calculation and patient safety as well as issues related to practice.
{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":72.84,"ASIN":"0323056296","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":33.77,"ASIN":"080362834X","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":112.68,"ASIN":"0323079334","isPreorder":0}],"shippingId":"0323056296::ZFqTVAnNePI18m%2BA1MWkLgvBNDTwblYD%2FT0q10Iv3LSqy7iHUfOKNcqR7HbXGcTcrY4mbqh2Fb4n3E8%2Boyo0pW9anOQV3NqPvi%2B6P9wMK5g%3D,080362834X::IKRyfJo9frWfGUQRjlugIlGGrUM%2FMgGZ179vc0wH2sB%2F4WBlb%2F87wasyvN9WSgCnSdvQzwu2iNFzaH%2FMoONJRFhs8fLWyFAPu3M2F14JRPHVV08o4q7%2B%2Bg%3D%3D,0323079334::%2BpMhntCjOOoy425wMp5mVpsKUtxKJLYRpoQZlX7h%2Blx5Fd8nyvrd8hOfqF34EV4APzereHcTKpcoo2CB%2Fx9G7%2Fmk3MN98sxSyQGsqMk%2BAL13REWqV3O't stress enough how many nursing students before me stressed the importance of getting this book and starting it before classes. It was a book required by my school, however, I may have purchased it anyways on my own. It goes over all the math essential to nursing. I like the way the chapters are split up and it looks like it has enough examples and practice problems to allow you to learn the material properly. There is also a website that correlates with the book that has practice tests - so all around you can be prepared with this book.
2 months after initial review.. I wanted to come back and add more to this review because I have been using this book for the last few months for my Pharmacology Nursing class at school. I LOVE this book! It is full of important, invaluable information pertaining to Nursing. It has lots of questions for practice so that you know that you know the calculations - the answers are in the back of the book and in many cases, it explains why the answer is what it is. If your school does not require this book, buy it anyways! It is easy to learn and thoroughly explains concepts. The book presents several different methods / formulas for working calculations, so it makes it easy to find one that works for you. Awesome book!! One that I will refer back to often over the next few years!
Seriously, this book is SELF TEACH! I totally learned all aspects of dosage calculation strictly by this book. My teacher was less than adept at teaching this. This is the best book EVER. If you are afraid of math, start at chapter one and work through, you will be totally Confident at the end of the book!
This book is very thorough in explaining every concept and with a lot of examples. I use to have a hard time learning and understanding fractions but this book makes it VERY easy & fun. I would highly recommend it anyone who is entering the nursing field - it breaks everything down & would be an excellent resource to study for the NCLEX exam later on. |
*Please try the free version of this app before buying as we cannot guarantee it will display well on all android devices. GCSE Mathematics Questions: of types Descriptive Fill the blanks Multiple choice single answer Yes or No True or false
Search test by topic, question type and difficulty
Topics covering the 2011 curriculum
750 questions. Versions with more questions in the market Help video Free sample videos from All questions developed by top quality UK teachers All questions quality assured in the UK Powerful search engine creates random questions Instant feedback with correct answers if your answer is wrong Sound Bar chart displays results of each attempt (requires internet connection) Take tests by topic |
• model linear relationships graphically and algebraically, and solve and verify algebraicequations, using a variety of strategies, including inspection, guess andcheck, and using a "balance" model.
Specific Expectations
Patterns and Relationships
– represent, through investigation with concrete materials, the general term of a linear pattern,using one or more algebraic expressions (e.g., "Using toothpicks, I noticedthat 1 square needs 4 toothpicks, 2 connected squares need 7 toothpicks, and3 connected squares need 10 toothpicks. I think that for n connected squaresI will need 4 + 3(n – 1) toothpicks, because the number of toothpickskeeps going up by 3 and I started with 4 toothpicks. Or, if I think ofstarting with 1 toothpick and adding 3 toothpicks at a time, the pattern canbe represented as 1 + 3n.");
– represent linear patterns graphically (i.e., make a table of values that shows the term numberand the term, and plot the coordinates on a graph), using a variety of tools(e.g., graph paper, calculators, dynamic statistical software);
– determine a term, given its term number, in a linear pattern that is represented by a graph oran algebraic equation (Sample problem: Given the graph that represents thepattern 1, 3, 5, 7,…, find the 10th term. Given the algebraic equation thatrepresents the pattern, t = 2n – 1, find the 100th term.).
Variables, Expressions and Equations
– describe different ways in which algebra can be used in real-life situations (e.g., the value of$5 bills and toonies placed in a envelope for fund raising can be representedby the equation v = 5f + 2t);
– model linear relationships using tables of values, graphs, and equations (e.g., thesequence 2, 3, 4, 5, 6,… can be represented by the equation t = n + 1, wheren represents the term number and t represents the term), throughinvestigation using a variety of tools (e.g., algebra tiles, pattern blocks,connecting cubes, base ten materials) (Sample problem: Leah put $350 in abank certificate that pays 4% simple interest each year. Make a table ofvalues to show how much the bank certificate is worth after five years, usingbase ten materials to help you. Represent the relationship using anequation.);
– translate statements describing mathematical relationships into algebraic expressionsand equations (e.g., for a collection of triangles, the total number of sidesis equal to three times the number of triangles or s = 3n);
– make connections between solving equations and determining the term number in a pattern, usingthe general term (e.g., for the pattern with the general term 2n + 1, solvingthe equation 2n + 1 = 17 tells you the term number when the term is 17);
– solve and verify linear equations involving a one-variable term and having solutions that areintegers, by using inspection, guess and check, and a "balance" model (Sampleproblem: What is the value of the variable in the equation 30x – 5 =10?).15 by using guess and check. First I tried 6 for x. Since I knew that 6plus 7 equals 13 and 13, is less than 15, then I knew that x must be greaterthan 6.").
Grade 8: Geometry and Spatial Sense,Ontario , Canada
Planning: Term #
Tracking: Ach. Level
Overall Expectations
1
2
3
4
• demonstrate an understanding of the geometric properties of quadrilaterals and circles andthe applications of geometric properties in the real world;
• represent transformations using the Cartesian coordinate plane, and make connections betweentransformations and the real world.
Specific Expectations
Geometric Properties
– sort and classify quadrilaterals by geometric properties, including those based on diagonals,through investigation using a variety of tools (e.g., concrete materials,dynamic geometry software) (Sample problem: Which quadrilaterals havediagonals that bisect each other perpendicularly?);
– construct a circle, given its centre and radius, or its centre and a point on the circle, orthree points on the circle;
– investigate and describe applications of geometric properties (e.g., properties of triangles,quadrilaterals, and circles) in the real world.
Geometric Relationships
– determine, through investigation using a variety of tools (e.g., dynamic geometry software,concrete materials, geoboard), relationships among area, perimeter,corresponding side lengths, and corresponding angles of similar shapes(Sample problem: Construct three similar rectangles, using grid paper or ageoboard, and compare the perimeters and areas of the rectangles.);
– determine, through investigation using a variety of tools (e.g., dynamic geometry software,concrete materials, protractor) and strategies (e.g., paper folding), theangle relationships for intersecting lines and for parallel lines andtransversals, and the sum of the angles of a triangle;
– determine, through investigation using concrete materials, the relationship between the numbersof faces, edges, and vertices of a polyhedron (i.e., number of faces + numberof vertices = number of edges + 2) (Sample problem: Use Polydrons and/orpaper nets to construct the five Platonic solids [i.e., tetrahedron, cube,octahedron, dodecahedron, icosahedron], and compare the sum of the numbers offaces and vertices to the number of edges for each solid.).
Location and Movement
– graph the image of a point, or set of points, on the Cartesian coordinate plane after applying atransformation to the original point(s) (i.e., translation; reflection in thex-axis, the y-axis, or the angle bisector of the axes that passes through thefirst and third quadrants; rotation of 90°,
– solve problems that require conversions involving metric units of area, volume, and capacity(i.e., square centimetres and square metres; cubic centimetres and cubicmetres; millilitres and cubic centimetres) (Sample problem: What is thecapacity of a cylindrical beaker with a
radius of 5 cm and a height of 15 cm?);
– measure the circumference, radius, and diameter of circular objects, using concretematerials (Sample Problem: Use string to measure the circumferences ofdifferent circular objects.);
– determine, through investigation using a variety of tools (e.g., cans and string, dynamicgeometry software) and strategies, the relationships for calculating thecircumference and the area of a circle, and generalize to develop theformulas (Sample problem: Use string to measure the circumferences and thediameters of a variety of cylindrical cans, and investigate the ratio of thecircumference to the diameter.);
– solve problems involving the estimation and calculation of the circumference and the area ofa circle;
– determine, through investigation using a variety of tools and strategies (e.g., generalizingfrom the volume relationship for right prisms, and verifying using thecapacity of thin-walled cylindrical containers), the relationship between thearea of the base and height and the volume of a cylinder, and generalize todevelop the formula (i.e., Volume = area of base x height);
– determine, through investigation using concrete materials, the surface area of a cylinder(Sample problem: Use the label and the plastic lid from a cylindrical containerto help determine its surface area.);
– solve problems involving the surface area and the volume of cylinders, using a variety ofstrategies (Sample problem: Compare the volumes of the two cylinders that canbe created by taping the top and bottom, or the other two sides, of astandard sheet of paper.).
• apply a variety of data management tools and strategies to make convincing arguments about data;
• use probability models to make predictions about real-life events.
Specific Expectations
Collection and Organization of Data
– collect data by conducting a survey or an experiment to do with themselves, their environment,issues in their school or community, or content from another subject, andrecord observations or measurements;
– organize into intervals a set of data that is spread over a broad range (e.g., the age ofrespondents to a survey may range over 80 years and may be organized intoten-year intervals);
– collect and organize categorical, discrete, or continuous primary data and secondary data(e.g., electronic data from websites such as E-Stat or Census At Schools),and display the data in charts, tables, and graphs (including histograms andscatter plots) that have appropriate titles, labels (e.g., appropriate unitsmarked on the axes), and scales (e.g., with appropriate increments) that suitthe range and distribution of the data, using a variety of tools (e.g., graphpaper, spreadsheets, dynamic statistical software);
– select an appropriate type of graph to represent a set of data, graph the data usingtechnology, and justify the choice of graph (i.e., from types of graphs alreadystudied, including histograms and scatter plots);
– explain the relationship between a census, a representative sample, sample size, and apopulation (e.g., "I think that in most cases a larger sample size will bemore representative of the entire population.").
– determine, through investigation, the appropriate measure of central tendency (i.e., mean, median,or mode) needed to compare sets of data (e.g., in hockey, compare heights ormasses of players on defence with that of forwards);
– demonstrate an understanding of the appropriate uses of bar graphs and histograms bycomparing their characteristics (Sample problem: How is a histogram similarto and different from a bar graph? Use examples to support your answer.);
– compare two attributes or characteristics (e.g., height versus arm span), using a scatterplot, and determine whether or not the scatter plot suggests a relationship(Sample problem: Create a scatter plot to compare the lengths of the bases ofseveral similar triangles with their areas.);
– identify and describe trends, based on the rate of change of data from tables and graphs,using informal language (e.g., "The steep line going upward on this graphrepresents rapid growth. The steep line going downward on this other graphrepresents rapid decline.");
– make inferences and convincing arguments that are based on the analysis of charts, tables, andgraphs (Sample problem: Use data to make a convincing argument that theenvironment is becoming increasingly polluted.);
– compare two attributes or characteristics, using a variety of data management tools andstrategies (i.e., pose a relevant question, then design an experiment orsurvey, collect and analyse the data, and draw conclusions) (Sample problem:Compare the length and width of different-sized leaves from a maple tree todetermine if maple leaves grow proportionally. What generalizations can youmake?).
Probability
– compare, through investigation, the theoretical probability of an event (i.e., the ratio ofthe number of ways a favourable outcome can occur compared to the totalnumber of possible outcomes) with experimental probability, and explain whythey might differ (Sample problem: Toss a fair coin 10 times, record theresults, and explain why you might not get the predicted result of 5 headsand 5 tails.);
– determine, through investigation, the tendency of experimental probability to approachtheoretical probability as the number of trials in an experiment increases,using class-generated data and technology-based simulation models (Sampleproblem: Compare the theoretical probability of getting a 6 when tossing anumber cube with the experimental probabilities obtained after tossing anumber cube once, 10 times, 100 times, and 1000 times.);
– identify the complementary event for a given event, and calculate the theoreticalprobability that a given event will not occur (Sample problem: Bingo uses thenumbers from 1 to 75. If the numbers are pulled at random, what is theprobability that the first number is a multiple of 5? Is not a multiple of5?). |
Essential Discrete Mathematics for Computer Science
9780130186614
0130186619
Summary: Written for freshman/sophomore, one-semester introductory courses in discrete mathematics designated for computer science students, this text introduces the mathematics of computer science.
Krone, Joan is the author of Essential Discrete Mathematics for Computer Science, published 2002 under ISBN 9780130186614 and 0130186619. Thirty two Essential Discrete Mathematics for Computer Science textbooks are availa...ble for sale on ValoreBooks.com, twenty six used from the cheapest price of $0.01, or buy new starting at $10.55 Contact Customer Service for questions.[less] |
MATH
300.202:
Introduction
to Complex Variables
This course offers an
introduction to complex variables. We will begin by discussing the
complex numbers and functions
of a complex variable, then proceed to do differential and integral
calculus in this setting. Complex analysis has many applications to
science, engineering and other areas of mathematics.
"Fundamentals
of Complex Analysis with Applications to Engineering and Science", ThirdEdition by E. B. Saff and A. D.
Snider
Exams:
There will be one in-class midterm exam on
Wednesday February 25.
The final
exam will be held on Friday, April 24th, 3:30 - 6:00 p.m. in LSK 201.
Exams should be
written in pen.
Books and/or papers
and/or calculators will not
be
permitted during exams. There will be no make-up exams. Anyone needing
special arrangements for exams
must notify the instructor by the second week of classes.
Homework:
Homework assignments will be posted on this course
website usually on Friday and they will be collected, one week
later. On this web-page
you will find the sections from the text that you should be reading
before to come to class. The instructor will try to observe this
pre-determined schedule.
It is important that you check regularly this
course webpage. Late homework will not be accepted. Homework is the
essential
educational part of this course. You cannot expect to work problems on
exams if you have not worked lots of homework problems. Therefore, it
is important that you spend an adequate time on homework regularly,
each week. You can work
together on the homework, but you should
always write up your own homework solutions in your own words. |
Document Actions
Math 230
Course Description
To extend the language and concepts of the calculus of functions of one independent variable to functions of two or more independent variables. Specifically, the limit concept, continuity, the derivative and the integral will be generalized. The appropriate use of graphing calculators and CAS is explored.
By the end of the course, the student should be able to analyze curves and surfaces in three-space, differentiate and determine any extrema of functions of two or more variables, evaluate double and triple integrals in various coordinate systems. |
You are here
PRECALCULUS
Preparation for calculus by the study of functions of one variable over the real numbers. These are introduced in general and then applied to the usual elementary functions, namely polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions. Inverse functions, polar coordinates and trigonometric identities are included. Prerequisite: ACT math score of 23 or above |
love algebra, and I can help show you the tricks and tips that you need to make it easier and understandable. If algebra is the foundation of mathematics, then calculus is the foundation of physics, statistics, and applied mathematics. It is not an exaggeration to say that our modern world exists thanks to Liebnitz and Newton, who separately invented calculus at the same time |
Iteration A Tool Kit of Dynamics Activities
9781559533546
ISBN:
1559533544
Publisher: Key Curriculum Press
Summary: Iteration: A Tool Kit of Dynamics ActivitiesIterationis a time-honored process in mathematics, but recent technology allows us to look at iteration with a fresh eye. Share the astounding discoveries scientists and mathematicians have made in recent years and how those discoveries are used in many different areas of study. The book can be used in many mathematics courses, but is especially suited to an algebra class. ...Grades 7-12
Choate, Jonathan is the author of Iteration A Tool Kit of Dynamics Activities, published under ISBN 9781559533546 and 1559533544. Nineteen Iteration A Tool Kit of Dynamics Activities textbooks are available for sale on ValoreBooks.com, eleven used from the cheapest price of $0.01, or buy new starting at $21.52 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.