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the previous chapter we looked at first order
differential equations. In this chapter
we will move on to second order differential equations. Just as we did in the last chapter we will
look at some special cases of second order differential equations that we can
solve. Unlike the previous chapter
however, we are going to have to be even more restrictive as to the kinds of
differential equations that we'll look at.
This will be required in order for us to actually be able to solve them.
Here is a list of topics that will be covered in this
chapter.
Basic Concepts Some of the basic concepts and ideas that are
involved in solving second order differential equations.
Mechanical Vibrations An application of second order differential
equations. This section focuses on
mechanical vibrations, yet a simple change of notation can move this into
almost any other engineering field. |
High School Mathematics Extensions/Mathematical Programming
This chapter will not attempt to teach you how to program rigorously. Therefore a basic working knowledge of the C programming language is highly recommended. It is recommended that you learn as much about the C programming language as possible before learning the materials in this chapter.
Please read the first 7 lessons of "C Programming Tutorial" at About.com if you are unfamiliar with programming or the C programming language.
Programming has many uses. Some areas where programming and computer science in general are extremely important include artificial intelligence and statistics. Programming allows you to use computers flexibly and process data very quickly.
When a program is written, it is written into a textual form that a human can understand. However, a computer doesn't directly understand what a human writes. It needs to be transformed into a way that the computer can directly understand.
For example, a computer is like a person who reads and speaks German. You write and speak in English. The letter you write to the computer needs to be translated for the computer to speak. The program responsible for this work is referred to as the compiler.
You need to compile your English-like instructions, so that the computer can understand it. Once a program has been compiled, it is hard to "un-compile" it, or transform it back into English again. A programmer writes the program (to use our analogy, in English), called source code, which is a human-readable definition of the program, and then the compiler translates this into "machine code". We recommend using the widely available gcc compiler.
When we look at mathematical programming here, we will look at how we can write programs that will solve some difficult mathematical problems that would take us normally a lot of time to solve. For example, if we wanted to find an approximation to the root of the polynomial x5+x+1 - this is very difficult for a human to solve. However a computer can do this no sweat -- how?
Computers are machines based on Boolean logic. This means that the computer is based on some method of differentiating a state as true or false, or set and not set. Abstractly we think of computers as using 1's for true or set and 0's for false or not set. We refer to these 1's and 0's as bits. In computers we don't keep track of information as bits. Instead information in a computer is stored in addressable blocks called bytes. A byte is the smallest piece of memory that can be accessed in the computer that is not a bit. When we declare a [scalar] variable in a C program that memory has an address and a length. The address says where the memory starts, and the length states how many bytes are used to express the variable.
The include file <limits.h> is used to define the size of addressable integer types and the include file <float.h> is used to define the size of addressable floating point types. The values in these files are compiler and computer dependent. This means that if you change compilers or compile your program on a different type of computer it may execute differently.
Programs can not only be written with integer values, but also with various forms of floating-point values. You should normally use the double keyword to define a floating point number; the reason for this is that in many cases, the intuitive way to write an expression in floating point arithmetic is suboptimal. Floating point arithmetic is non-associative - in base-10, a system that has 2 places of accuracy has (1.0 + 0.02) + 0.04 = 1.0 (rounded down because 1.02 rounds to 1.0, and then 1.04 rounds down to 1.0), but 1.0 + (0.02 + 0.04) = 1.0 + 0.06 = 1.1. There also exists a float type, which uses 4 bytes instead of 8, but you should not use it unless you know what you are doing, since there is only 24 bits of accuracy, or roughly 9 base-10 significant digits.
Beware: If you use 2 integer operands, it still performs integer arithmetic, so this prints 1, not 1.5 as you'd expect:
double number;
number = 3/2;
printf("%f\n",number);
An example of a definition of a floating-point number and then calculating 3/2:
double number = 3;
number /= 2;
printf("%f\n",number);
A caveat: floating point numbers do not perfectly represent all decimal numbers. Obviously, because the memory consumed by a variable is finite, it cannot represent an infinite number, but only an approximation of it. In addition, some numbers cannot be perfectly represented in floating point. In this code:
double number;
number = 1/10;
the value of number is not 0.1, but actually 0.10000000000000001.
An analogy of this limitation is the value of 1/3. In the decimal system, this value cannot be exactly represented with a finite number of 3s, as in 0.333... Since 2 and 5 are the only prime factors of 10 (the base of the decimal system), only fractions with denominators comprising products of 2s and 5s, such as 5/8 or 231/250 (but not 1/3 or 5/14) can be exactly represented by decimal numbers (0.625 and 0.924, respectively).
Computers use base 2 arithmetic, so only fractions with denominators comprising products of 2s (powers of 2), such as 5/8 or 231/256 (but not 231/250, 1/3 or 1/10, as above) can be exactly represented by a floating point number.
What do you think? Too easy or too hard? Too much information or not enough? How can we improve? Please let us know by leaving a comment in the discussion section. Better still, edit it yourself and make it better.
To tell the truth ,I haven't finished it. The theories included is not difficult for me,because I have studied a little game theory .But the passage is a little long for me ,and I am not very interested in certain parts.It's maybe a little too much information for me.I will try to finish it . Thank you! |
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Math 1172: Engineering Mathematics A - Calculus in Polar Coordinates
Wed Mar 06, 3:00pm to 4:00pm
Location:
Cockins Hall 042
This workshop has been cancelled due to instructor illness.
Polar coordinates can be confusing at first, especially to visualize graphically. Unfortunately, this is a necessary skill in order to set up integrals in polar coordinates. This workshop will use technology to help you visualize graphs in polar coordinates, and will apply that knowledge to setting up integrals over polar regions. This workshop will also show you how to graph functions in polar coordinates on your TI-84 graphing calculator. |
This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple... more... |
Overview - PRE-ALGEBRA 1 - CURRICULUM CLASSROOM SET
This is the first semester of a full-year pre-algebra curriculum. Written for
middle school and high school students who struggle, the reading level has been
kept at 3.0-5.0 without sacrificing solid mathematics content. The pacing is
slower, but the scope and sequence of the course remain the same. Mathematics
vocabulary essential to problem solving is defined and written in bold type
in the student text. The components of the curriculum include three consumable
student texts/workbooks and a teacher binder.
STUDENT TEXTS/WORKBOOKS The student books include both easy-to-read
lessons and practice pages. There are three individual student texts/workbooks,
covering the National Council of Teachers of Mathematics (NCTM) strands:
• Numbers and Number Sense
• Operations and Estimation
• Algebra and Patterns
Each lesson is contained on two pages with three worksheets following. This
three-worksheet method offers students the opportunity to learn, relearn, and
review essential skills. Because the student text is consumable, students work
the problems in their books, eliminating copying problems to paper. Each worksheet
is limited to only 15 problems and includes three to four word problems.
TEACHER''S BINDER The teacher''s binder supports the material
covered in all three student books. It is reproducible and contains lesson plans,
extra worksheets, quizzes, tests, and answer keys. The lesson plans contain
teaching suggestions and additional activities to reinforce the skills being
taught. About 150 extra worksheets are included for more practice and can double
as additional quizzes.
COMPLIES WITH STANDARDS The Pre-Algebra Curriculum
has been carefully written to comply with the standards and objectives set by
the NCTM. Skills covered prepare students for state and national tests. The
program can be used in both self-contained and inclusion classrooms.
CLASSROOM SET Books can be purchased individually or as a
set. The classroom set includes one Teacher''s Binder and 10 each of the three
Student Books. |
Mathematics 7: Pre-Algebra
Units
• How can the patterns and relationships around us be expressed mathematically?
• How can these mathematical generalizations be used to derive new relationships or be evaluated in specific situations?
• How can the operations and relations among numbers be characterized symbolically and then built into a theoretical system of study?
Use of Venn diagrams to observe the relationship between two numbers in terms of their prime factors, to determine the GCF, to see how other factors are created, and to determine the LCM (least common multiple)
Placement of numbers onto the number line to gain an appreciation for their relative magnitude.
Conversion of numbers from one place-value system to another.
Items in this concept area are embedded throughout the course and assessed in part throughout the year.
*BASIC SKILLS:
Basic operations with rational numbers, conversion between decimals, fractions, and percent, degree measure of angles, rounding, solving proportions, finding a mean, using a formula, and using a protractor and compass. Students also use a scientific calculator and software (TinkerPlots and Microsoft Excel) to expedite and enhance data collection, collation, graphic representation, and statistical analysis. .
*Project includes a novel hypothesis, data collection and organization, visual display of graphs, and a one-page numerical analysis and conclusion to accompany the visual display
*Written unit exam and quizzes to assess skill development
*Dependent upon projects chosen
*Awareness of bias when collecting, analyzing, interpreting, and graphing data
*Care given to the types of sample data given to the students
*Authentic, updated material
• How does the relative measure of data yield new insights?
• How can ratios be used to describe relationships between correlated data?
• How can ratios and rates be used to calculate proportional change and thus predict future outcomes?
*Poster illustrating the affect of a linear change on area and volume
*Tilings--creation of original tiling designs as well as writing a short paragraph on the geometry used in the art of a chosen culture
*Village Project--design, measure, and create a 3 dimensional structure as a cuminating project.
*Quizzes and tests
• How can the patterns and relationships around us be expressed mathematically? • How can these mathematical generalizations be used to derive new relationships or be evaluated in specific situations? • How can the operations and relations among numbers be characterized symbolically and then built into a theoretical system of study?
* SIMPLIFY: simplify algebraic expressions by combining like terms, using the distributive property, multiplication and division of monomial and polynomial expressions * EVALUATE: find the value of algebraic expressions using appropriate order of operations and properties of real numbers * SOLVE: be able to solve linear equations and inequalities using simple one and two step methods, be able to solve more complex linear equations and inequalities using simplification *FACTOR: recognize common monomial factors *TRANSLATE: write algebraic expressions, equations, and inequalities that describe given data or observed relationships or patterns *GRAPH: develop data tables from linear equations and then graph the resultant ordered pairs using a Cartesian coordinate system, graph linear equations and inequalities
* group and individual assessment of the basic skills and concepts of algebra as well as projects involving application and algebraic problem-solving * emphasis on process--using vertical format and logical steps * assessment of the ability of students to solve algebraically problems from the SAT, AMC 8, and MathCounts
* Math on Call *Math Review: A Quick Reference Guide
* application questions for this unit are taken from a wide range of experiences and interests |
Chaos: Making a New Science
by James Gleick Publisher Comments
Chaos records the birth of a new science. This new science offers a way of seeing order and pattern where formerly only the random, the erratic, the unpredictable – in short, the chaotic – had been observed.
Chaos is a history of discovery... (read more)
The Beginner's Guide to Constructing the Universe
by Michael S. Schneider Publisher Comments
The universe may be a mystery, but it's no secret.
Michael Schneider leads us on a spectacular, lavishly illustrated journey along the numbers one through ten to explore the mathematical principles made visible in flowers, shells, crystals, plants... (read more)
Mathematics and the Physical World
by Morris Kline Publisher Comments
Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations and non-Euclidean geometries. Also describes how math is used in optics, astronomy, other phenomena.... (read more)
Algebra I Workbook for Dummies (For Dummies)
by Mary Jane Sterling Publisher Comments
From signed numbers to story problems — calculate equations with ease Practice is the key to improving your algebra skills, and that's what this workbook is all about. This hands-on guide focuses on helping you solve the many types of algebra... (read more)
Algebra II Workbook for Dummies (For Dummies)
by Mary Jane Sterling Publisher Comments
From radical problems to rational functions -- solve equations with ease Do you have a grasp of Algebra II terms and concepts, but can't seem to work your way through problems? No fear -- this hands-on guide focuses on helping you solve the many types of... (read more)
Differential Equations Problem Solver
by Rea Publisher Comments
... (read more)
Linear Algebra With Applications
by Otto Bretscher Book News Annotation
A text for undergraduates, stressing examples, exercises, history,
and applications, and keeping abstract exposition to a minimum.
Coverage includes linear equations and transforms, subspaces of Rn
and their dimensions, orthogonality and least squares,... (read more)
Complexity: The Emerging Science at the Edge of Order and Chaos
by M Mitchell Waldrop Publisher Comments
Why did the stock market crash more than 500 points on a single Monday in 1987? Why do ancient species often remain stable in the fossil record for millions of years and then suddenly disappear? In a world where nice guys often finish last, why do humans... (read more)
Algebra I for Dummies
by Mary Jane Sterling Publisher Comments
Get the right solution every time -- algebra the fun and easy way! Includes a great glossary of algebraic terms for easy reference The pain-free way to explore algebra--and come out smilin' Does the word polynomial make your hair stand on end? Let Mary... (read more)
Algebra II for Dummies (For Dummies)
by Mary Jane Sterling Publisher Comments
Besides being an important area of math for everyday use, algebra is a passport to studying subjects like calculus, trigonometry, number theory, and geometry, just to name a few. To understand algebra is to possess the power to grow your skills and... (read more)
Mastering Mathematics How To Be a GR 3RD Edition
by Richard Smith Publisher Comments
Providing solid tips for every stage of study, Mastering Mathematics stresses the importance of a positive attitude and gives students the tools to succeed in their math course. This practical guide will help students: avoid mental blocks during math... (read more)
The History of the Calculus and Its Conceptual Development
by Carl B Boyer Publisher Comments
This book, for the first time, provides laymen and mathematicians alike with a detailed picture of the historical development of one of the most momentous achievements of the human intellect ― the calculus. It describes with accuracy and... (read more)
A History of Pi
by Petr Beckmann Publisher Comments
The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did |
More About
This Textbook
Overview
A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.
Editorial Reviews
From the Publisher
"In an ideal university the staff would supplement the standard courses by offering lectures in which they talked about topics which they particularly loved at a level which the students could understand. And, in an ideal university, the students would flock to such lectures.
George Phillips' book consists of five short courses to be given at our ideal university. As the title is intended to suggest, the topics are treated with due respect for their history and all have their roots in the works of Gauss or earlier mathematicians. The level chosen is that of a first or second year student and the exposition uses the relaxed "explanation, theorem, proof"style of the best colloquium talks." London Mathematical Society Newsletter, October 2001
"In five chapters (From Archimedes to Gauss, Logarithms, Interpolation, Continued fractions, More number theory), the author shows that many interesting and important results in mahtematics have been discovered by ordinary people and not onl by great geniuses. Each chapter includes the history of its topic with an interpretation of the mathematical problems. The book shows how and why some results in mathematics have been discovered or obtained, by following the steps of well-known mathematicians who discovered them. It is a useful source of mathematical material for teachers, undergraduate students, students and the vast numbers of amateurs who love mathematics." European Mathematical Society Newsletter, Issue 41,September |
More About
This Textbook
Overview
When The College Board created the Advanced Placement (AP) statistics course several years ago, they recommended several college books that closely match their syllabus. The top two books on this "short list" were Moore and McCabe's Introduction to the Practice of Statistics and Moore's The Basic Practice of Statistics. Still, these book lacked several key elements such as activities and special topics. So, starting with the classic features of IPS and BPS, veteran AP statistics instructor Dan Yates has fashioned a text that perfectly matches the College Board's recommended syllabus. The result is the #1 book in the AP statistics market: The Practice of Statistics, TI-83 Graphing Calculator Enhanced. Because this book was written for bright high school students who are at an advanced reading level, it has also sold to many colleges and universities. These institutions love the idea of a David Moore book integrating the TI-83 Graphing Calculator, which is the most popular statistics calculator in the market. For colleges and universities who require or recommend that their students use the TI-83 Graphing Calculator, TPS is the appropriate text.
Editorial Reviews
Booknews
Using examples and vignettes drawn from a variety of professional fields and settings, the author describes the nature of professional practice, the ways professionals learn, and how education for practice can be improved at the undergraduate and graduate levels. Finally, he makes recommendations for a partnership between higher education and the professional workplace which will help students make the transition from one to the |
there are many useful topic in this course but truth table is one the best and useful tools for solved our problems in real world. another is probability is most useful topic , many events are probable, so that situations this tools is better way to solve the probable events. and also graphs are very easy way to convey our and solve our problems , and set theory is another use full and favorite topic |
Michael T. Heath's Scientific Computing: An Introductory Survey is the textbook of choice for Numerical Analysis, Scientific Computing, or a 400-level Linear Algebra course. Note that this is only an introduction to Numerical Analysis; students looking for an in-depth resource will be disappointed at the broad overview given in Heath.
Contents
Scientific Computing is described in the first chapter, giving its historical origins, modern necessity, and a brief treatment of computational error. Thereafter, we leap straight into computation. Systems of linear equations, linear least squares, eigenvalues, non-linear equations, optimization, interpolation, integration and differentiation, initial and boundary value problems, partial differential equations, the fast fourier transform, and random numbers and simulation are the topics Heath covers, in 13 chapters.
A first semester's introduction would cover chapters 1 through 6, up to optimization, saving the more salient advanced topics for a second semester's discussion.
Quality:
It's the attention to detail that makes this book shine. Every chapter includes a historical anecdote at the end, tangentially describing the history and future of the techniques in that chapter. Examples are littered everywhere, and algorithms are set apart in special code boxes with line numbers. Matrices and vectors are set off in an easy to read bold typeface, while chapters are split up in sections that slowly progress from introduction to advanced algorithms, each section building on the contents of the previous. Homework questions are included after each chapter. My only complaint is that odd-numbered solutions are not included in the textbook, as is common in most other mathematics textbooks.
Rating: :5star:
While sparse on the details of many of the algorithms and theorems mentioned, as an introduction, it covers a broad range of material–enough for two semesters of study. The writing is lucid, and when a proof of a theorem is given, it is easy to follow and explained in english afterward. Rationale is given for everything, which is a great benefit to a student not familiar with the nuances of sophisticated linear algebra. |
Students explore the Fundamental Theorem of Calculus. In the Calculus activity, students investigate indefinite and definite integrals and the relationship between the two, which leads to the discovery of the Fundamental Theorem of Calculus.
In this calculus worksheet, students solve functions using the derivatives. They calculate the volume where the graph is revolving around the x-axis, a line, the y-axis and where x=e. There are 28 questions.
In this Calculus worksheet, students are provided with problems of a similar nature to those on their exam. Problems include limits, derivatives, and integrals. The four page worksheet contains twenty-eight problems. Answers are not included.
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series. The one page interactive worksheet contains fifty-two problems. Answers are not provided.
Help your pupils define a Taylor polynomial approximation to a function f of degree n about a point x = a. After completing several problems with guided practice, individuals graph convergence of Taylor polynomials and use them to approximate function values.
Learners investigate sequences and series numerically, graphically, and symbolically. For this sequences and series lesson, students use their Ti-89 to determine if a series is convergent. Learners find the terms in a sequence and series and graph them. Students use summation notation to determine the sum of a sequence.
Students find patterns in a sequence. In this sequences and series lesson, students use their calculator to find the sequence of partial sums. They graph functions and explore convergent series. Students approximate alternating series.
Students practice calculating and analyzing Riemann sums and illustrate when Riemann sums will over/under-approximate a definite integral. They view how the convergence of Riemann sums as the number of subintervals get larger.
Students prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine both the numerical and graphical representations of the sequence.
Young scholars investigate geometric series. In this Algebra II/Pre-Calculus lesson, students use a spreadsheet application to create partial sums of geometric series and observe convergence and divergence. Young scholars investigate the relationship between the behavior of the graph and the common ratio of the series. Students examine the formula for the sum of a divergent infinite geometric series.
Explore differential equations by using models representing growth and decline. Using calculus, learners will investigate exponential and logistic growth in the context of several models representing the growth or decline of a population. Most of the models have a closed-form solutions. Problems and solutions are included.
In this calculus worksheet, students find the Taylor series for each function adn give the interval where the series converges. The two page worksheet contains nine questions. Answers are not included.
Students analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series.
Students solve problems using implicit differentiation. In this calculus lesson, students take the derivative to calculate the rate of change. They observe two robots and draw conclusion from the data collected on the two robots.
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
In this college level Calculus worksheet, students examine sequences to determine if they are increasing, decreasing, or non monotonic. Students find the sum of series and determine if they diverge. The one page worksheet contains twenty-one problems. Answers are not provided. |
Formules mathématiques is the French version of the Math Formulary App that covers all mathematical formulas that are usually used in the school and the university. Where necessary graphics are included to depict and explain the topic better.
SD-Card Installation is supported. Bug reports related to the content and the app itself are more than welcome. Proposals for new features would be great.
This is the free version of the Formules mathématiques Pro app that you can getBest mathematical tool for school and college! If you are a student, it will help you to learn algebra!
Note: Polynomials appear in settings ranging from basic chemistry and physics to economics and social science; they are used in calculus and numerical analysis to approximate other functions. In advanced mathematics, polynomials are used to construct polynomial rings, a central concept in algebra and algebraic geometryFórmulas Matemáticas is the Spanish version of the Math Formulary App that covers all mathematical formulas that are usually used in the school and the university. Where necessary graphics are included to depict and explain the topic better. pointsJokespedia - this hilarious app is the most comprehensive collection of the best jokes, sayings, poems, riddles, and funny quotes in the English language. You can add your best adages yourself, have them rated by other users and climb up in the ranking. So there is something new to read and chuckle at every day, just in case the 13000 entires weren't enough. Use this app to learn English with a lot of fun.
From the classic Little Johnny jokes to the nasty blonde jokes right through to the old tongue twisters, all the entries are split into over 25 categories.
With this free joke app you'll be the joker at every party. We have the best birthday quotes and pick up lines. No matter whether it's a bloke joke or a girls' gag, it never gets old.
For adults we have the adult jokes section, the dirty jokes, and the Yo Mama jokes categories. Of course the classic celebrity characters, like Chuck Norris, Bill Clinton, Al Bundy and Barney Stinson, are all in there too.
To tease your friends or your foes, we recommend the professional categories. Whether they're a civil servant, a farmer, a graduate, a student, a doctor, a lawyer, a politician, a broker, a footballer or a schoolboy, we have just the thing. The classical knock knock jokes and light bulb jokes are also included. A separated clean jokes section is available.
For those who like black comedy we have the famous, bar room and stonerPoints are given for the following: 1 point - giving a rating, 15 points - joke published (and accepted by moderator), 1 point if your joke gets a 3 star rating, 2 points for 4 star rating and 3 points for 5 star rating. will be removed by the moderators
Please leave a comment to report any bugs or submit any feedback you have.
Math Formulary Pro covers all mathematical formulas that are usually used in the school and the university. Where necessary graphics are included to depict and explain the topic better. This Pro Version contains no ads and don't require any permissions.
Formules mathématiques
Fórmulas Matemáticas |
Course Content and Outcome Guide for MTH 70
Course Number:
MTH 70
Course Title:
Review of Introductory Algebra
Credit Hours:
4
Lecture Hours:
30
Lecture/Lab Hours:
20
Lab Hours:
0
Special Fee:
$6.00
Course Description
Review of algebraic concepts and processes with a focus on linear equations and inequalities in one and two variables, functions, linear systems, properties of exponents, polynomials, and quadratic equations. Applications, graphs, functions, formulas, and proper mathematical notation are emphasized throughout the course. A scientific calculator is required. The TI-30X II is recommended.
Intended Outcomes for the course
Use a variable to represent an unknown in a simple linear problem, create a linear equation that represents the situation, and find the solution to the problem using algebra.
Recognize a linear pattern in ordered paired data collected or observed, calculate and interpret the rate of change (slope) in the data, create a linear model using two data points, and use the observed pattern to make predictions.
Recognize and differentiate between linear and quadratic patterns in ordered paired data, graphs, and equations.
Use variables to represent unknowns in linear or quadratic problems, create a linear system or quadratic equation that represents the situation, and find the solution to the problem using algebra.
Be successful in future coursework that requires the use of basic algebraic concepts and an understanding of functions.
Outcome Assessment Strategies
Assessment shall include:
The following must be assessed in a proctored, closed book, no-note, and no-calculator setting: simplifying expressions, factoring quadratic binomials and trinomials, solving linear and quadratic equations, solving systems of linear equations, and graphing linear and quadratic functions.
At least two proctored closed-book examinations (one of which is a comprehensive final). These exams must consist primarily of free response questions although a limited number of multiple choice and/or fill in the blank questions may be used where appropriate.
Assignments that offer an opportunity to express mathematical concepts in writing. Assessment should be made on the basis of using correct mathematical syntax, appropriate use of the English language, and explanation of the mathematical concept.
At least two of the following additional measures must also be used:,
Take-home examinations
Graded homework
Quizzes
Projects
In-class activities
Portfolios
Course Content (Themes, Concepts, Issues and Skills)
Themes:
Functions, with special attention to linear and quadratic functions
Algebraic manipulation of expressions
Problem solving
Graphing
Number sense
Critical thinking
Effective communication
Skills:
RELATIONS AND FUNCTIONS,
Use the definition of a function to determine whether a given relation represents a function
Determine the domain and range of a function given as a graph or as a table
Factor trinomials with leading coefficients of 1 as well as leading coefficients not 1
Factor multivariable expressions.
Solve quadratic equations in one-variable,
Solve quadratic equations using the square root method
Solve quadratic equations by factoring
Solve quadratic equations using the Quadratic Formula,
Simplify and approximate nonvariable square roots
Graph quadratic functions,
Graph a quadratic function from an equation by creating a table and plotting points
Graph a quadratic function by finding the axis of symmetry", the vertex and the intercepts
Use and interpret quadratic models of real world situations algebraically and graphically,
Evaluate the function at a particular input value and interpret its meaning
Given a functional value (output), find and interpret the input
Interpret the vertex using proper units
Interpret the vertical intercept using proper units
Interpret the horizontal intercept(s) using proper units
LITERAL EQUATIONS AND FORMULAS,
Solve an equation for a specified variable in terms of other variables
Input values into a formula and solve for the remaining variable
ADDENDUM:
The purpose of the MTH 70 class is to prepare students to be successful in MTH 95. Several topics in MTH 95 require that students have much more than an introductory understanding of MTH 60/65 material. For instance, students must be able to recognize and quickly factor quadratic expressions if they are to successfully understand rational expressions, the quadratic formula and completing the square in MTH 95. Algebraic concepts covered in MTH 70 will be used in MTH 95 with the expectation that students know and understand them.
One major problem experienced by introductory algebra students is difficulty conducting operations with fraction and negative numbers. This is the most likely reason that they find themselves in such a course. Thus, it would be beneficial to incorporate these topics throughout the course, whenever possible, so that students have ample exposure. Encourage them throughout the course to get better at performing operations with fractions and negative numbers inverses, identities, factors, terms, equations, expressions and equivalent equations.
The difference between expressions and equations needs to be emphasized throughout the course. A focus must be placed on helping students understand that evaluating an expression, simplifying an expression, and solving an equationInstructors should demonstrate and emphasize the importance of performing operations in a vertical format. Equal signs must be used when changing the form of an expression. Examples of a vertical format are as follows: 70 course should consistently show appropriate steps using correct mathematical notation and appropriate forms of organization. All axes on graphs should include scales and labels. A portion of the grade for any free response problem should be based on mathematical syntax.
The concept of functions should be introduced at the beginning of the course and continually revisited. Use linear and quadratic equations as examples of functions to reinforce the use of function notation, as well as the concepts of domain and range throughout the course.
Instructors should remind students that the topics discussed in MTH 70 will be revisited in MTH 95 and beyond", but at a much faster pace while being integrated with new topics. |
For courses in College Algebra, Algebra & Trigonometry, Precalculus, and Trigonometry which require student use of a graphing calculator. The Sullivans have created the hallmark pedagogy in this series to assist instructors in attaining their course goals.
Table of Contents
Preface to the Instructor
xi
Preface to the Student
xvi
Photo and Illustration Credits
xvii
List of Applications
xxvii
Review
1
(70)
Classification of Numbers
2
(10)
Algebra Review
12
(12)
Geometry Review
24
(5)
Polynomials
29
(8)
Polynomial Division; Synthetic Division
37
(7)
Factoring Polynomials
44
(9)
Rational Expressions
53
(11)
nth Roots; Rational Exponents
64
(7)
Equations, Inequalities, and Functions
71
(88)
Solving Equations and Inequalities in One Variable Algebraically
72
(14)
Rectangular Coordinates; Graphing Utilities
86
(9)
Introduction to Graphing Equations
95
(8)
Symmetry; Graphing Key Equations; Circles
103
(13)
Solving Equations and Inequalities in One Variable Using a Graphing Utility |
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Beecher, Penna, and Bittinger's College Algebra is known for enabling students to "see the math" through its focus on visualization and early introduction to functions. With the Fourth Edition, the authors continue to innovate by incorporating more ongoing review to help students develop their understanding and study effectively. Mid-chapter Review exercise sets have been added to give students practice in synthesizing the concepts, and new Study Summaries provide built-in tools to help them prepare for tests. The MyMathLab course (access kit required) has been expanded so that the online content is even more integrated with the text's approach, with the addition of Vocabulary, Synthesis, and Mid-chapter Review exercises from the text as well as example-based videos created by the authors.
The Bittinger series changed the face of developmental education with the introduction of objective-based work texts that presented math one concept at a time. This approach allowed readers to understand the rationale behind each concept before practicing the associated skills and then moving on to the next topic. With this revision, Marv Bittinger continues to focus on building success through conceptual understanding, while also supporting readers with quality applications, exercises, and new review and study materials to help students apply and retain their knowledge.
Drawing examples from business, chemistry, and physics, this textbook walks through graphical and algebraic methods for solving linear equations, inequalities, and polynomials, as well as rational, radical, quadratic, exponential, and logarithmic equations. The second edition moves the conic sections material to an appendix and adds a section on factoring the sums and differences of cubes.
There are many features built into the daily lessons of this text that will help you learn the important concepts and skills you will need to be successful in this course. There are numerous Exercises in each lesson to give you the practice you need to learn. Practice Multiple Choice exercises are included in the lesson to help you prepare for success on your state test. The text also contains Error Analysis, Test Prep exercises, Critical Thinking exercises, Challenge exercises |
Glencoe Pre-Algebra is a key program in our vertically aligned high school mathematics series developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on today's high-stakes assessments |
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The most comprehensive way to learn maths post-GCSE is to completely ignore advice from any government guided program or curricular. Instead, get into the mind-set of learning for the sake of learning.
This brings me to book [1], which should be a standard textbook imho. In my school, they didn't have many copies of this, and the few that were available were older than me. Maths doesn't change as time goes on, so everything in this book is still relevant. What I liked about this one is that it gives you something extra and isn't limited by what will be on the exam. Thanks to this one, I can inverse 3×3 matricies in less than half a page of A4.
Unlike [1], Book [2] covers just the bits found in the further maths course. This is the model of a good text book that you're looking for. A lot of the content in an FM course comes as self contained ideas* and this book reflects that as it guides the reader through each concept from introduction, to competency.
Book [3] is probably a book to avoid. All of A-level is summarised in chapter 1 since this is a degree level textbook. However, if you can get hold of this one, then it serves as a very good source of revision material before the exam.
This is what real text books start to look like, no fancy gimmicks or jokes like [4], but one that builds upon ideas developed in previous sections. This is something that you don't read, you reference it.
For some light reading, look for the works of Martin Gardner. A fantastic puzzle maker including the classic [5]. |
More About
This Textbook
Overview
The ideal review for your physicsA quick, easy-to-follow guide to mathematical topics required for important concept development in physics
More than 1,500 fully-solved problems presented from both the physics and mathematics point-of-view
Meet the Author
Robert Steiner serves as the project director of seminars on science at the American Museum of Natural History, and an adjunct assistant professor in the Department of Mathematics, Science and Technology at the Teachers College of Columbia University.
Phillip A. Schmidt is currently the program coordinator for secondary education at The Teachers College of Western Governors University. He is also the coauthor of Schaum's Outline of College Mathematics, Schaum's Outline of Elementary Algebra, and author of Schaum's Outline of Geometry |
Free High School Algebra 1 Help Online
This website was created to help students with Algebra 1 without having to turn to paid outlets like self-help books. I'm the main author of the material on this site, because of my particular situation growing up, I was forced to learn Algebra 1 completely on my own. I was given a textbook and was basically put in the corner of a classroom with instructions to have at it. While I eventually made my way through it all after months of grinding, I decided that I didn't want that fate for anyone else, and so here we are.
I've always thought that if I was to give free high school Algebra 1 help online that it would have to be in a different format than when I teach and tutor students in real life. The reason for this is that in real life, I can be there to adjust what the students are learning based on their own personalities and the situations that come up. On the Internet, this is much harder to do, so I've decided on a special format that will hopefully make it easier for high school students to learn Algebra 1 online.
There are three main parts of getting Algebra 1 help online. The first part is dealing with the anxiety of algebra, the second part is learning the concepts of algebra, and the third part is reinforcing and applying the concepts with exercises and problems. To handle the anxiety that comes along with trying to learn Algebra 1, it's best to develop a good mindset towards what you're doing that is more about the process instead of judging yourself negatively for not understanding everything right away. To learn the concepts of Algebra 1, you should take your time and slowly work your way through instructional material that centers on the concept you're trying to learn. There is plenty of this material available for all topics in Algebra 1 if you follow the navigation in the sidebar of this website.
The final part of learning high school Algebra 1 is working through exercises and problems, which you should do with your textbook and any handouts your teacher gives you. |
Algebra With Spirit
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Alcohol-Themed Algebra Problems from the 18th and 19th Centuries.
There are forty of them, 10 each in the categories Drinking, Mixing, Storing and Pouring, and Buying and Selling.
As a bit of an amateur math historian I find it interesting how the problems given to students reflect the culture. The political, moral, and economic considerations surrounding alcohol use have done a lot of changing since the middle of the 18th century. This period contains the Whiskey Rebellion, the rise of the Temperance movement, and the enactment and repeal of Prohibition, just to name a few major examples.
Because authors used to treat the cultural acceptance of alcohol (as well as other issues) more matter-of-factly, old math books are full of interesting word problems that illuminate the spirit of the times from a slightly different angle than we are used to seeing |
Now in its eighth edition, this text masterfully integrates skills, concepts, and activities to motivate learning. It emphasises the relevance of mathematics to help students learn the importance of the information being covered. This approach ensures that they develop a sold mathematics foundation and discover how to apply the content in the real world. |
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Mathematics Department
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Courses:
Honors Algebra/Geometry
This rigorous course integrates a review of elementary algebra with the concepts of geometry for students who have a strong background in algebra. This course investigates the topics of linear and quadratic functions and their graphs, factoring and solving polynomial equations, solving systems of equations, as well as inductive and deductive reasoning. There will be a strong emphasis on the skills of logic exercised through formal proofs of coordinate geometry. Real-world applications that can be modeled by linear and quadratic functions will be covered. In-depth word problems will be addressed that require students to demonstrate an understanding of the concepts covered. The resources used to accomplish the objectives of the course include protractor, compass, graphing calculator, and other computer programs that demonstrate the components of algebra and geometry. (Graphing calculator recommended).
CP Algebra I
This course is intended for freshmen with the aim of developing well-prepared, confident problem solvers. Starting with the basic algebraic premise of solving for "unknowns", students will also explore rational and irrational numbers, functions, linear equations as well as patterns and sequences. All Algebra I students will be introduced to and required to manipulate monomial and polynomial expressions, including quadratic equations and functions. Students will engage in in-depth problem solving, aimed at developing critical thinking skills needed to succeed in the 21st century. Students will explore algebraic functions and concepts through the use of graphing calculators and other graphing software. (Graphing Calculator recommended).
Algebra I Part I
This is the first part of a two year fundamental algebra course that develops a strong foundation of mathematical skills by reviewing many of the concepts of 8th grade math. The course will cover basic computational skills, fundamental mathematical skills, rational numbers, the solving and graphing of linear equations, proportional reasoning, and applying algebraic properties. The class is designed to challenge students with a modified course while providing individual and collaborative support to allow students to be successful. Students will be given extensive support as they work to write equations and solve basic real-world problems.
Algebra I Part II
This course completes the objectives of basic algebraic principles for sophomores who took Algebra I Part I. This class will continue to provide individualized support while challenging students to make connections from previous concepts to the new topics of inequalities, solving systems of equations, operations of polynomials, factoring, solving and graphing quadratic equations, and radical expressions. After completion the students will have a comprehensive background of Algebra I.
Honors Algebra II
Honors AlCP Algebra II
AlAlgebra II
Algebra II continues and broadens the exploration of Algebra I. Incorporating the latest in graphic calculator technology and using problem solving techniques, students will explore rational, irrational and complex numbers. Specifically, this course will develop an understanding of functions as it relates to linear relations, quadratic and exponential equations, and logarithms.
CP Geometry
Students will study Geometry as a mathematical system through the deductive development of relationships in the plane and space. Topics covered in this course include congruence and similarity of polygons, properties of parallel and perpendicular lines, angle measures, transformations, geometric constructions, circles, and volume and area. Logic is a driving force behind all that is studied in this course as students learn to explore various concepts through geometric proof.
Geometry
Students will use geometry with algebra to find distances, angle measures, areas, and volumes. They will use theorems and postulates for parallel and perpendicular lines as they apply to polygons and circles. Students will also problem solve using the Pythagorean Theorem and basic right triangle trigonometry.
Advanced Algebra II and Trigonometry
This course is a combination of a complete Algebra II course plus a complete course in Trigonometry. This course prepares advanced students to work with more advanced mathematics and complete their understanding of algebra. Algebra II topics include polynomial, rational, and radical expressions; linear, quadratic, exponential, and logarithmic functions and graphs; algebraic principles related to sequences, series, and algebraic proof. Trigonometry topics include trigonometric functions and graphs, trig identities, trig formulas, and trig expressions. Mastery of these topics prepares students for Calculus.
Pre-Calculus
The course examines advanced mathematics and data analysis to include the following: analysis of linear, quadratic, polynomial, and trigonometric functions as well as probability, statistics, and mathematical modeling. An emphasis is placed on using graphical analysis and curve fitting for conic sections. An introduction to limits, derivatives, and other calculus applications will enable students to move on to calculus at either the high school or college level. (Graphing calculator required).
CP Trigonometry
This one-semester elective course investigates concepts in trigonometry for students interested in engineering or other mathematical related fields of study. Concepts covered include properties of trigonometric functions and their inverses, formulas, identities and relationships among trigonometric functions, through analyzing and solving equations algebraically, geometrically, and graphically. This course is for students in grades 11 and 12 in the Honors or College Preparatory Program. (Graphing calculator required).
CP Probability & Statistics
This one-semester class is aimed at those students interested in pursuing a career in business. Beginning with an introduction of simple and compound probability, this course will explore and expand the students' understanding of statistical data and analysis. Students will analyze strategies and using probability concepts will interpret, manipulate and create relevant statistical data in the exploration of means and standard deviations. Students will use calculators, spreadsheets and tables to estimate areas under the normal distribution curve and apply these techniques within a business model. This course is for students in grades 11 and 12 in the Honors or College Preparatory Program. (Graphing calculator required).
AP® Calculus A/B
This course investigates topics in differential and integral calculus, including limits and continuity, differential calculus, and definite and indefinite integration. Emphasis will be placed on transcendental functions, and techniques of integration. Students will also study the concepts of calculus analytically, numerically, graphically, and conceptually. Technology will be integrated into the course through the use of graphing calculators and dynamic graphing programs. Connections and applications to various disciplines, especially physics and economics, are investigated at length. At the conclusion of this course, students will be encouraged to take the AP® Calculus A/B test. (Graphing calculator required).
AP® Calculus B/C
Calculus B/C is a course in single-variable calculus that includes all the topics of Calculus A/B (techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus) plus additional topics in differential and integral calculus (including parametric, polar, and vector functions) and series. It is equivalent to at least a year of calculus at most colleges and universities. Algebraic, numerical, and graphical representations are emphasized throughout the course. At the conclusion of this course, students will be encouraged to take the AP® Calculus B/C test. (Graphing calculator required).
A Sponsored Ministry of the Franciscan Friars of the Province of St. John the Baptist, Cincinnati, Ohio |
AQA GCSE Maths – GCSE Maths problem – AO3, Algebra
The third in the series of our new GCSE Maths videos! This short video explains how the new Maths GCSE 2010 specification differs from the older GCSE Maths specification.
...
The third in the series of our new GCSE Maths videos! This short video explains how the new Maths GCSE 2010 specification differs from the older GCSE Maths specification.
Here Glynn Payne walks you through another GCSE Maths AO3 question – this time covering algebra and forming equations. The new AO3 questions account for 20% of your GCSE Maths pupils' final examination mark, so it's really important your students have a grip on it prior to their GCSE Maths exam.
Take a look at this video and try the problem yourself. Find out more about the new specification, get free GCSE Maths worksheets and the latest guidance and news by visiting our FREE blog at |
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20 CLAST Manual helps build studentsrs" proficiency in 55 mathematical skills in the fields of Arithmetic, Geometry, Algebra, Statistics, and Logic. Written as an additional supplement for students who are required to take the CLAST (students in the State of Florida), the first part of the CLAST Manual focuses on the skill-by-skill description of each of the 55 skills required in the exam, including worked out examples.The second part of this manual is a collection of CLAST-style homework exercises linked to various sections ofThinking Mathematically4e. |
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Starting at $52 6/14Future elementary and middle school teachers need a clear, coherent presentation of the mathematical concepts, procedures, and processes they will be called upon to teach. This text uniquely balances "what" they will teach (concepts and content) with "how" to teach (processes and communication). As a result, students using "Mathematics for Elementary School Teachers" leave the course knowing more than basic math skills; they develop a deep understanding of concepts that enables them to effectively teach others. This Fourth Edition features an increased focus on the 'big ideas' of mathematics, as well as the individual skills upon which those ideas are built. |
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From classical foundations to advanced modern theory, this self-contained and comprehensive guide to probability weaves together mathematical proofs, historical context and richly detailed illustrative applications. A theorem discovery approach is used throughout, setting each proof within its historical setting and is accompanied by a consistent emphasis on elementary methods of proof. Each topic is presented in a modular framework, combining fundamental concepts with worked examples, problems and digressions which, although mathematically rigorous, require no specialised or advanced mathematical background. Augmenting this core material are over 80 richly embellished practical applications of probability theory, drawn from a broad spectrum of areas both classical and modern, each tailor-made to illustrate the magnificent scope of the formal results. Providing a solid grounding in practical probability, without sacrificing mathematical rigour or historical richness, this insightful book is a fascinating reference and essential resource, for all engineers, computer scientists and mathematicians |
This new book from the authors of the classic book Numerical Methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementary functions, operator series, convergence acceleration, and continued fractions. Although this volume is self-contained, more comprehensive treatments of matrix computations will be given in a forthcoming volume. A supplementary Website contains three appendices: an introduction to matrix computations; a description of Mulprec, a MATLAB® multiple precision package; and a guide to literature, algorithms, and software in numerical analysis. Review questions, problems, and computer exercises are also included. For use in an introductory graduate course in numerical analysis and for researchers who use numerical methods in science and engineering.
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'This work is a monumental undertaking and represents the most comprehensive textbook survey of numerical analysis to date. It will be an important reference in the field for many years to come.' Nicholas J. Higham, University of Manchester
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This book from the authors of the classic Numerical Methods addresses the growing role of numerical methods in science and engineering. With better organization and coverage than any modern book in the field, it includes topics not typically covered in numerical analysis texts (e.g. interval arithmetic and elementary functions).
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The book has a very good level for a first course of theoretical numerical analysis. The theory of error is explained very well considering not only mathematical concerns but also other kinds of errors. The methodology used along the book is very nice keeping an eclectic position between theoretical results and practice. |
Math
If you need help in intermediate algebra, you have come to the right place. Note that you do not have to be a student at WTAMU to use any of these online tutorials. They were created as a service to anyone who needs help in these areas of math. If this is your first time using this Intermediate Algebra Online Tutorial please read the Guide to the WTAMU Intermediate Algebra Online Tutorial Website to learn how our tutorials are set up and the disclaimer. Come back to this page to make your tutorial selection. Tutorial 1: How to Succeed in a Math Class
Virtual Math Lab - Intermediate Algebra
Algebra formulas and Basic Math Formulas
Home » Algebra Formulas We know that our world is full of formulas, especially math formulas. The banks use formulas to determine interest. The distance formula can be used to predict how much time a car trip might take. Teachers even use formulas to figure out your grades. They are everywhere and an extremely important skill to learn in any math class.
A pretty damn clear guide to a quite confusing concept by Christine R. Wright with some help from Samuel A. Rebelsky. Table of Contents Basic Concepts Behind the Binary System To understand binary numbers, begin by recalling elementary school math.
A tutorial on binary numbersHere is a complete listing of all the subjects that are currently available on this site as well as brief descriptions of each. Cheat Sheets & Tables Algebra Cheat Sheet - This is as many common algebra facts, properties, formulas, and functions that I could think of. There is also a page of common algebra errors included. Currently the cheat sheet is four pages long. Algebra Cheat Sheet (Reduced) - This is the same cheat sheet as above except it has been reduced so that it will fit onto the front and back of a single piece of paper. |
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Combinatorial Problems and Exercises
Edition:
2
Publisher:
AMS/Chelsea Publishing
Number of Pages:
639
Price:
69.00
ISBN:
9780821842621
This combinatorics problem book has a very strong emphasis on graph theory. Notable topics include the Brun and Selberg sieves in number theory (unfortunately without applications), Pólya-Redfield theory of counting under automorphism, Cayley's theorem on enumerating trees, Kuratowski's theorem on planar graphs, and van der Waerden's theorem on the existence of arithmetic progressions in sets. This is an unaltered 2007 reprint of the 2nd (1993) edition, with new errata sheets.
The book comprises three sections: problem statements, brief hints (usually a single sentence per problem), and complete solutions with references. The book starts out with traditional combinatorial subjects such as permutations, inclusion-exclusion, and generating functions, but quickly moves to graph theory. A number of additional combinatorial techniques are introduced in connection with the graph problems. The book is remarkable for the breadth of techniques (not just combinatorial) that it uses.
I adore problem books, but I am uneasy about this one because of its rapid pace, with very difficult theorems having only 3 or 4 problems leading up to them. I wonder how many students would really be able to use it as a problem book. My favorite problem book of all is Pólya and Szegö's Problems and Theorems in Analysis. I think they handle this building-up problem much better. For very difficult problems they build up through a long series of problems (as many as 20 or 30), and most of the intermediate problems are interesting in themselves.
It may be that the best use for this book is as an enrichment resource for the professor. He can select interesting problems from the book and provide additional hints as needed in class. The book would be especially valuable because it proves a number of famous results that everybody quotes but nobody proves, such as Kuratowski's and van der Waerden's theorems.
Allen Stenger is a math hobbyist, library propagandist, and retired computer programmer. He volunteers in his spare time at MathNerds.com, a math help site that fosters inquiry learning. His mathematical interests are number theory and classical analysis. |
97805344004Jerome E. Kaufmann and Karen Scwhitters built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This no-frills text consistently reinforces the following common thread: learn a skill; use the skill to help solve equations; and then apply what they have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics courses. |
The American Mathematical Society (AMS) was founded in 1888 in order to further mathematical research and scholarship. Since that time, they have embarked on a number of outreach programs designed to educate the public...
In this animated and interactive object, the learner uses a TI-86 calculator to solve for the magnitude of the resultant and of one of the component forces in a right triangle. Target Audience: 2-4 Year College...
The University of Akron has created these excellent algebra tutorials that review some of the main topics in the discipline. There are ten lessons, which focus on topics like radicals and exponents, basic algebra,...
The lessons, activities, and other materials at this site are designed to enable math teachers to develop a multimedia teaching approach to math. This site provides resources such as spreadsheets, calculators, and... |
Offering
10+ subjects
including calculus calculus |
Applied Math for Food Service - 98 edition
Summary: This book acquaints students with the basics of food cost controls by providing a foundation of practical techniques useful in real-world situations. Among these are yield tests, the calculation of recipe costs, and the use of food cost percentages. It further ensures that these future chefs are familiar with accurate measurements, portion control and proper food handling, which are essential to the healthy bottom line of any food service operation. Presents the mat...show morehematical skills necessary for food service professionals through a common sense, step-by-step approach using real life situations rather than algebraic formulas. This provides students with real-world applications for what they learn. Includes a detailed instructor's manual that assists the instructor plan classes, homework and quizzes; outlines lecture notes; provides additional student exercises; overhead transparencies; and solutions to all problems and questions. Provides extensive pedagogical aids throughout:
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Presented by Utah State University, this virtual manipulative is designed to teach the concept of a function. It does so by (1) allowing users to perform a function on various numbers; (2) presenting users with the correlating outputs based on the inputs; (3) encouraging users to generate hypotheses as to the function being applied to the inputs; and (4) allowing users to apply those hypotheses to determine whether they correctly determined the function in use. This is a great "hands on" virtual resource for middle and high school teachers, as well as teachers of developmental math courses in community and technical colleges. |
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Starting at $104 Transition to Advanced Mathematics
A Transition To Advanced Mathematics
A Transition to Advanced Mathematics
A Transition to Advanced Mathematics, 7th Edition
Transition to Advanced Mathematics
Summary
A TRANSITION TO ADVANCED MATHEMATICS helps students make the transition from calculus to more proofs-oriented mathematical study. The most successful book of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides users to think and express themselves mathematically—to analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors place continuous emphasis throughout on improving users' ability to read and write proofs, and on developing their critical awareness for spotting common errors in proofs. Concepts are clearly explained and supported with detailed examples, while abundant and diverse exercises provide thorough practice on both routine and more challenging problems. Students will come away with a solid intuition for the types of mathematical reasoning they'll need to apply in later courses and a better understanding of how mathematicians of all kinds approach and solve problems. |
2005 Hard Cover Pictorial/laminated NEW ScienceDrawing from an exhaustive variety of mathematical subjects, including real and complex analysis, fluid mechanics and asymptotics, this book demonstrates how mathematics can be intelligently applied within the specific context to a wide range of industrial uses. The volume is directed to undergraduate and graduate students.
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From the Publisher
"The book is extremely pleasant to read, flowing easily through and between topics while still containing significant content. The structure includes frequent use of footnotes and notes in the margin which are a clean way of including some detailed, technical information without breaking up the overall discussion. In addition to the exposition, the exercises provide an equally valuable component of this book."
Rachel Kuske University of British Columbia |
ains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that ...Show synopsisContains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.Hide synopsis
Description:Good. 2nd ed. Item may show signs of shelf wear. Pages may...Good. 2nd |
¹1:The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra
Algebraic Geometry often seems very abstract, but in fact it is full of concrete examples and problems. This side of the subject can be approached through the equations of a variety, and the syzygies of these equations are a necessary part of the study. This book is the first textbook-level account of basic examples and techniques in this area. It illustrates the use of syzygies in many concrete geometric considerations, from interpolation to the study of canonical curves |
Class Tutorial
Class Tutorial
1. Typical of most classes, these begin with a tutorial. Covell returns frequently to explain things that don't so easily translate physically or, in this case, to explain the math required to calculate the width of a sheet to make half a grille bar. |
OASD Mathematics Unit Frameworks
COURSE: Essentials of Math
OVERARCHING QUESTIONS:
Mathematical Processes: How can I use math knowledge, skills, and strategies to solve real-world
and non-routine problems?
Number Operations and Relationships: How can I use numbers effectively to quantify, describe,
and label things in my world?
Geometry: How can I use geometric concepts, relationships, and procedures to interpret,
represent, and solve problems?
Measurement: What appropriate tools and techniques can I use to measure things accurately?
Statistics and Probability: How can I use data collection and analysis, statistics and probability to
solve problems?
Algebraic Relationships: How can I use algebraic relationships in personal, scientific, economic,
social, medical, artistic and civic fields of inquiry?
STANDARDS:
MATHEMATICAL PROCESSES:
A1: Understand a broad body of mathematical knowledge and apply a variety of
mathematical skills and strategies, including reasoning, oral and written communication,
and the use of appropriate technology, when solving mathematical, real-world and non-
routine problems.
NUMBER OPERATIONS AND RELATIONSHIPS:
B1: Know how to use numbers effectively for various purposes, such as counting,
measuring, estimating, and problem solving.
GEOMETRY:
C1: Know how to use geometric concepts, relationships and procedures to interpret,
represent, and solve problems.
MEASUREMENT and REFERENCE FRAMES:
D1: Select and use appropriate tools (including technology) and techniques to measure
things to a specified degree of accuracy. Use measurements in problem-solving
situations.
DATA AND CHANCE:
E1: Know how to use data collection and analysis, statistics and probability in problem-
solving situations, employing technology where appropriate.
PATTERNS, FUNCTIONS and ALGEBRA:
F1: Discover, describe, and generalize simple and complex patterns and relationships. In
the context of real-world problem situations, use algebraic techniques to define and
describe the problem to determine and justify appropriate solutions.
5/23/2006 1
Essentials of Math
COURSE: Essentials of Math
UNIT: Paper and Pencil Calculations
PACING: 7-8E1.12.1 Work with data in the context of real-world situations.
• Formulate hypotheses that lead to collection and analysis of one- and two-variable data
• Design a data collection plan that considers random sampling, control groups, the role of
assumptions, etc.
• Conduct an investigation based on that plan
5/23/2006 2
Essentials of Math
• Use technology to generate displays, summary statistics, and presentations.5/23/2006 3
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Using the Calculator and Estimation
PACING: 9-10 days
BENCHMARKS:Calculator
5/23/2006 4
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Part Time and Summer Jobs
PACING: 8-9Can I read and write/fill out job applications?
* How can I use addition, subtraction, multiplication, and division?
How can I solve problems in this unit?
*How do I compute total earnings/tips/social security?
*How can I use the guess and check method to solve problems?
*Can I read and interpret want ads?
How can I use this in the real world?
5/23/2006 5
Essentials of Math
*How can I evaluate and apply for jobs?
KEY CONTENT LANGUAGE:
Minimum wage, tips, social security, FICA,
RESOURCES:
Classified ads, internet (WISCareers), job application forms, resume examples
5/23/2006 6
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Full-Time Work
PACING: 11 Writing5/23/2006 7Can I calculate total time and wages for a particular job?
How can I use this in the real world?
*How can I evaluate jobs in terms of pay and benefits?
KEY CONTENT LANGUAGE:
Weekly/biweekly/annual pay, piecework, commission, net pay, deductibles, face value,
beneficiary, term, straight life
RESOURCES:
Internet, classified ads, job applications
5/23/2006 8
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Recreation and Sports* Can I evaluate the meaning of fractions and their remainders?
How can I solve problems in this unit?
*How can I evaluate the cost of memberships, tickets, and necessary materials for
particular recreational activities?
5/23/2006 9
Essentials of Math
How can I use this in the real world?
*How can I evaluate and choose a recreational activity based on associated costs?
KEY CONTENT LANGUAGE:
Membership fee, cost per visit, all day pass, remainder
RESOURCES:
YMCA flyers with prices, Menus, Store flyers with prices, sales tax tables
5/23/2006 10
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Basic Purchases How can I use addition, subtraction, multiplication, division, and percents?
How can I solve problems in this unit?
*How can I calculate the amount of discount and the discount rate?
*How can I calculate the sales tax of a purchase?
How can I use this in the real world?
*How can I evaluate the cost of buying audio/video equipment, clothing, or food?
*How do I order from a catalog/online/telephone?
5/23/2006 11
Essentials of Math
*How can I evaluate the best buy at a store using unit pricing?
KEY CONTENT LANGUAGE:
Markdown, discount, discount rate, sales tax, unit prices
RESOURCES:
Catalogs, newspaper ads
5/23/2006 12
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Savings and Checking Accounts
PACING: 7 use this in the real world?
*How can I use a checking/savings account responsibly?
*How can I compute the simple/compound interest earned on investments or paid on
loans?
*How can I compare/evaluate different checking accounts to determine the best option?
5/23/2006 13
Essentials of Math
KEY CONTENT LANGUAGE:
Checking accounts, savings accounts, deposit slips, withdrawal slips, check register, bank
statement, I = prt, compound interest
RESOURCES:
"How to do your banking" handour
5/23/2006 14
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Credit 15How can I use patterns to predict future payment amounts?
How can I use this in the real world?
*How can I responsibly use credit cards?
*How can I calculate finance charges so that I may calculate/estimate future balances?
*How do I take out a loan and calculate the amount of interest due?
*How can I purchase something on an installment plan, and how do I calculate the
finance charge?
KEY CONTENT LANGUAGE:
Credit card, charge receipt, credit card statement, finance charge, unpaid balance, new
balance, overdraft, annual percentage rate (APR), installment price, installment plan,
RESOURCES:
Credit card applications, credit card statements, consolidate loan flyers
5/23/2006 16
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Automobile Expenses5/23/2006 17
Essentials of Math
*How can I calculate the monthly payment for a car loan?
*How can I calculate the total operating expenses for a car?
How can I use this in the real world?
*How can I evaluate the total cost and options to determine which car to purchase?
*How can I negotiate a price, and determine a finance charge?
*How can I determine the cost of renting an automobile?
KEY CONTENT LANGUAGE:
Sticker price, options, negotiated price, trade-in allowance, vehicle registration fee, title,
EPA, mpg, cpg, insurance, liability, collision, comprehensive, premiums, deductibles
RESOURCES:
Insurance info, online insurance quotes, classified ads
5/23/2006 18
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Transportation
PACING: 10 19
Essentials of Math
ESSENTIAL AND TOPICAL QUESTIONS:
What math skills or knowledge will I need in this unit?
*How can I use addition, subtraction, multiplication, and division?
*How can I use charts, graphs, maps, and schedules to gain the necessary information
needed to solve problems?
How can I solve problems in this unit?
*How can I convert times to different time zones?
How can I use this in the real world?
*How can I estimate distance and travel time for a trip?
*How can I determine the cost, travel time, and distance traveled for a bus, train,
airplane, subway, and taxi?
*What factors need to be considered when choosing the most economical way to travel?
KEY CONTENT LANGUAGE:
Time Zones
RESOURCES:
Hand clocks and time zone charts, maps with scales, "mapquest", travel agent
5/23/2006 20
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Taxes
PACING: 11-133 Analyze non-routine problems and arrive at solutions by various means including models and
simulations, often starting with provisional conjectures and progressing, directly or indirectly, to a solution,
justification, or counter-example.
A1.12.4 Develop effective oral and written presentations employing:
• Mathematical terminology
• Notation,
• Symbols
• Conventions for mathematical arguments
• Display of data5/23/2006 21
Essentials of Math use tax forms, booklets, and tax tables to help me complete my taxes?
How can I solve problems in this unit?
*How can I fill out the tax forms so that I correctly calculate the refund/amount owed?
How can I use this in the real world?
*How do I determine which tax form to use and then gather the necessary information for
calculating the refund/amount owed?
KEY CONTENT LANGUAGE:
W-2 form, 1099 form, IRS, deductions, exemptions, adjusted gross income, taxable
income, 1040 EZ, 1040 schedule A
RESOURCES:
Tax forms (W1-2, 1040EZ, 1040, WI) and booklets, Tax tables, W-2 forms, W-4 forms,
1099 forms
5/23/2006 22
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Housing
PACING: 105/23/2006 23
Essentials of Math want ads, perimeter, area, and proportions to help solve problems?
How can I use this in the real world?
*How can I rent an apartment or buy a condo/house?
*How can I calculate what my monthly mortgage would be for a particular home?
*How can I estimate my real estate taxes and homeowners insurance?
*How can I calculate the cost of utilities, decorating, and remodeling?
*How can I compare mortgages to analyze, which is the best?
KEY CONTENT LANGUAGE:
Mortgage, real estate taxes, homeowners insurance, condominium, perimeter, area,
proportions
RESOURCES:
Rulers, tape measures, apartment ads, mortgage charts, sample utility bills
5/23/2006 24
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Trade Industries• Proportional reasoning, including those involving squaring and cubing
5/23/2006 25
Essentials of Math area, perimeter, addition, subtraction, multiplication, division, and
operations with fractions to solve problems?
How can I solve problems in this unit?
*How can I draw diagrams to help solve problems?
How can I use this in the real world?
*How can I calculate costs associated with carpentry, plumbing, electrical work, painting,
and masonry, as well as utilize comparative consumerism?
KEY CONTENT LANGUAGE:
Board foot, inside/outside diameter, area, and perimeter
RESOURCES:
5/23/2006 26
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Other Professions4 Develop effective oral and written presentations employing:
• Mathematical terminology
• Notation,
• Symbols
• Conventions for mathematical arguments5/23/2006 27
Essentials of Math read and create charts and tables of information and utilize proportions to
solve problems?
How can I solve problems in this unit?
*How can I read schedules and calculate to time according to hours, minutes, and
seconds?
How can I use this in the real world?
*How can I solve problems involving advertising costs, presenting data in an organized
fashion, currency exchange, quality control sampling, determining health care drug
dosages, radio and television programming, and evaluation of raises/promotions?
KEY CONTENT LANGUAGE:
Area, column inch, line graphs, bar graphs, currency exchange rate, quality control
RESOURCES:
5/23/2006 28
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Personal Finance operations to solve problems?
How can I solve problems in this unit?
*How can I design a personal budget so that I may solve personal financial problems?
How can I use this in the real world?
5/23/2006 29
Essentials of Math
*How can I calculate inflation rate and/or use the inflation rate to determine purchasing
power?
*How can I determine the costs of raising a family?
*How can I determine a person's net worth based on their total assets and liabilities?
KEY CONTENT LANGUAGE:
Purchasing Power, inflation rate, fixed and variable expenses, assets, liabilities, net worth
RESOURCES:
Newspaper Articles
5/23/2006 30
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Investments operations to solve problems?
How can I use this in the real world?
*How do I calculate the redemption value of a US savings bond?
*How do I calculate interest earned on a CD?
*How do I invest in stocks and calculate net profit/loss?
5/23/2006 31
Essentials of Math
*How do I invest in mutual funds?
*How do I calculate annual pension benefit?
KEY CONTENT LANGUAGE:
US Savings Bonds, certificates of deposit, stocks, shares, dividends, mutual funds,
pension plans
RESOURCES:
Investment information from newspaper, internet and financial advertisements
5/23/2006 32
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Probability perform basic operations with fractions?
How can I solve problems in this unit?
*How can I calculate the probability of independent and dependent events?
*How can I draw a tree diagram in order to list the sample space?
How can I use this in the real world?
*How can I use probabilities to make predictions about real world events?
5/23/2006 33
Essentials of Math
KEY CONTENT LANGUAGE:
Simple probability, sample space, independent events, dependent events, tree diagram,
counting principle
RESOURCES:
Dice, cards, card games
5/23/2006 34
Essentials of Math
Mathematics
COURSE: Essentials of Math
UNIT: Measurement
PACING: 2-3D1.12.2 Select and use tools with appropriate degree of precision to determine measurements directly
within specified degrees of accuracy and error.
D1.12.3 Determine measurements using
• Estimation perform basic operations on integers as well as fractions?
5/23/2006 35
Essentials of Math
How can I solve problems in this unit?
*How can I measure an object with a ruler and estimate its length to the nearest 16th of an
inch/nearest mm?
How can I use this in the real world?
*How can I estimate lengths in English and metric units?
*How can I use rulers/measuring tapes to calculate area and perimeter?
KEY CONTENT LANGUAGE:
English units, metric units, area, perimeter
RESOURCES:
Rulers, micrometers, measuring tape
5/23/2006 36
Essentials of |
Text Book: A First Course in AbstractAlgebra By JohnB. Fraleigh, 7th Edition, Addison Wesley Learning Outcomes: 1. Students will be able to understand the set relation by demonstrating Venn diagrams 2.
Textbook: JohnB. Fraleigh, A First Course in AbstractAlgebra, 4th edition, Addison-Wesley, Reading, MA, 1989 ... modern abstractalgebra. In Modern Algebra II, two broad classes of abstractalgebra called rings and fields will be studied. Topics include rings, fields, polynomial rings, ...
This is an introductory course in abstractalgebra that covers the elements of groups, rings, and fields. Textbook The required textbook is A First Course in AbstractAlgebra, seventh edition, by JohnB. Fraleigh, Addison-Wesley, 2003, ISBN 0-
Textbook: A First Course in AbstractAlgebra (7th ed.) by JohnB. Fraleigh, Addison Wesley, Boston, 2003. O ce hours: 10:00 - 11:00 T, 11:00 ... This is an introduction to abstractalgebra. We make use of the tech-niques and concepts from Math s21 (Introduction to Abstraction) to further
Textbook: A First Course in AbstractAlgebra, 7th Edition by JohnB. Fraleigh Course description: ... This theory is in uential in abstractalgebra and has applications, among others, in geometry, number theory, and physics.
... the student shall be able to pursue abstract reasoning about algebraic ... {A First Course on AbstractAlgebra, 7th Edition} by JohnB. Fraleigh. ... Examination, 7.5€credits, grade scale: A, B, C, D, E, FX, F One written exam which can partly be replaced by homework assignments and one ...
Textbook: A First Course in AbstractAlgebra, 7th Edition by JohnB. Fraleigh Class Times: We meet every MWF 12:20 - 1:10 PM in LeConte 405. The World Wide Web A great deal of material will be available from a special page on the World Wide Web.
... AbstractAlgebra: 3 Credit Hours II. Semester and Year: Spring 2014 Important dates: Wed 1/22: Last day to drop class without transcript entry ... A First Course in AbstractAlgebra, 7 th edition, by JohnB. Fraleigh. Calculators: No calculators will be required for the course. Attendance ...
A First Course in AbstractAlgebra, JohnB. Fraleigh (512.02) Modern Algebra, John R. Durbin (512.02 DUR) A WORD OF ADVICE At this advanced level, Mathematics is more about understanding and explaining concepts and
Text: A First Course in AbstractAlgebra , 7th edition, JohnB. Fraleigh Course Content This course is a modern, abstract approach to the problems of algebra. We will study in detail some of the basic algebraic structures including groups, rings, |
The wait is over! With great excitement, Alpha Omega Publications is pleased to announce the upcoming release of its new math course for homeschooling families, Horizons Pre-Algebra!
Available in mid-February of 2011, Horizons Pre-Algebra is the highly anticipated, colorful continuation of the award-winning K-6 math series. Recommended for 7th or 8th grade students, this fun-filled course is packed with diverse, colorful lessons that prepare your child for upper-level math courses with a review of vital basic math concepts and a robust introduction to algebra, trigonometry, and geometry.
What's Inside?
Comprised of three perfect-bound components, the packaged set includes a colorful student workbook, a user-friendly teacher's guide, and handy tests and resources book.
Student Book
Similar in layout to Horizons' popular K-6 math courses, the consumable, full-color Horizons Pre-Algebra Student Book includes 160 daily lessons. Designed for completion in 45-60 minutes, each engaging lesson displays an illustrated teaching box that details the new concept being taught, along with a new class work section which reinforces the information with guided practice. Also part of each lesson's assignment is an activities section that contains problems for reviewing both the current lesson topic and previously taught concepts.
What will your child learn? Horizons Pre-Algebra readies your child for more advanced mathematics by teaching several new areas of math concepts, including the following:
Another new feature of the 360-page student book is a set of college test prep questions. Following each block of ten lessons, these challenging problems are designed to help students prepare for standardized math testing. Also included in the Horizons Pre-Algebra Student Book is a new collection of interviews with ordinary people who use math in their daily vocations. Setting the stage for each group of lessons, these thought-provoking, math-minute interviews bring math concepts to life by adding a human interest touch to word problems.
Teacher's Guide
The 400-page Horizons Pre-Algebra Teacher's Guide makes homeschooling easier with a variety of helpful resources, including daily lesson plans with clearly-defined objectives, practical teaching tips, and suggested materials lists; a math readiness test for evaluation; an in-depth scope and sequence; appearance of concepts charts; and solution keys that making grading a breeze as they mirror a reduced version of student worksheet pages for daily lessons, bi-weekly tests, and quarterly exams.
Tests and Resources Book
The Horizons Pre-Algebra Tests and Resources Book gives peace of mind that your student is comprehending concepts with easy-to-use, tear-out materials that include 80 review worksheets, 16 tests, and 4 exams. Each test conveniently follows every10 lessons, and each exam comes after every group of 40 lessons.
Along with a detailed guide that indicates when and where to use each worksheet, test, and exam, this Horizons Tests and Resources Book also provides hands-on, cut-out supplements that assist both visual and kinesthetic learners in mastering algebraic concepts. Included are formula strips, full-color net diagrams of 3-D shapes, and color-coded algebra squares printed on cardstock.
Always a best-seller, Horizons is well-known for its captivating content, appealing activities, and solid results. Wondering if your child is ready for AOP's new Horizons Pre-Algebra? Find out now by downloading the Horizon Pre-Algebra Readiness Test today!
WE ARE SOOO EXCITED. WE ARE FINISHING UP HORIZONS 6. IT WAS SAD TO THINK THAT WAS IT. NOW WE CAN CONTINUE WITH WHAT MY KIDS SAY IS THE BEST MATH OUT THERE - HORIZONS. THANK YOU!
Posted on: 02.10.11
|
Rating:
0
ELINE P
Please, continue the serie.
dc will never love math, I think, but after a few years in 4th grade she finally liked math. A great job.
And please keep it spiral...
Posted on: 08.19 thought |
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$94 essential tool made transparent: this book explains the theory behind current numerical methods and shows how to use them in a step-by-step fashion. It unites applications of numerical mathematics and computing to the practice of chemistry and chemical engineering, spanning the entire field from kinetics to chemical molecule searches to modeling. The material presented here is based on several tried-and-tested courses for scientists and engineers, as well as industry examples. All programming constructs and algorithms are explained using block-schemes, making them easier to comprehend for people who are accustomed to follow charts of reaction flows and technological processes. As a result, certain powerful mathematical and algorithmic concepts are introduced that result in important and interesting tools for chemical research, investigation, and engineering. The author is a co-inventor of Mathematica and this book represents a very successful method to explain Mathematica and functional programming to chemists and chemical engineers. It thus provides a solid background and direction in using Mathematica in chemical computational tasks that arise in mathematical chemistry, computational chemistry, cheminformatics, combinatorial chemistry, and chemometrics. Readers will gain a working knowledge of Mathematica programming as well as a detailed understanding of the key elements required to create the fastest, shortest and most cost-effective processes to solve problems in chemical engineering and chemistry. With interactive Mathematica code and examples provided on a CD-ROM, plus problems and worked solutions in each chapter, this is an invaluable resource for students in chemistry and in chemical engineering, chemical and engineers, environmental chemists, and chemists in industry. |
Introduction to Statistics for AP Teacher
There are summer courses that are especially suited to AP statistics teachers who need to tune up their statistical skills. They are taught by Dave Bock, co-author of Stats: Modeling the World, a leading AP statistics text.
The course text is Bock, Velleman and De Veaux, Stats: Modeling the World, with ActivStats CD. You can purchase it directly from the publisher here. This text is among the top choices for AP Statistics. (Note: If you are a statistics instructor contemplating teaching with this book, you may wish to obtain the Instructor's edition, which you can find using the above Addison Wesley link). ActivStats is an award-winning multimedia statistics tutorial. It runs on PCs and Macs.
Important: To make sure you get the right textbook bundled with the right CD, we strongly recommend that you buy them as a package directly from the publisher at the above link, rather than from Amazon or a used book market.
Please order your text in time to have it in hand by the course starting date!
Those contemplating teaching AP statistics (or any high school statistics course) will probably want to use a graphing calculator. The textbook integrates instruction in using the TI-83 family of graphing calculators and provides brief tips on using SPSS, JMP, Minitab and the TI-89 graphing calculator.
Depending on prior experience with statistics, those planning to teach AP Statistics may feel a need to put in more hours than the 15 estimated in the course description, in order to be well prepared to teach this material.
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"Taking as many courses through Statistics.com is one of my lifelong learning goals; I have told many of my colleagues about this wonderful and refreshing online medium for learning about statistics." |
Product Details:
Advantage provides an interactive learning experience and the tools students need to gain learning confidence and improve their grades. Help your child build a solid academic foundation with High School Advantage a complete student resource center that combines lessons exercises and quizzes with additional learning resources to support and motivate your child in reaching his or her full academic potential.The ADVANTAGE Approach to Effective Learning:. ENGAGE: Interactive learning experience engages the student.. REINFORCE: Standards-driven lesson plan reinforces classroom learning.. SUPPORT: Study aids & reference tools support the learning experience.. MOTIVATE: Brain-building games add fun to studying.Student Benefits. Learn At Your Own Pace.. Overcome Challenging Topics.. Review Lessons As Needed.. Prepare For College.MathSolidify critical math skills and prepare for college with detailed lessons that simplify complex concepts theories and equations.. Algebra II. Geometry & Trigonometry.. Plus: Calculus iPod study materials.ScienceEstablish a thorough understanding of all areas in Science with the help of multimedia presentations interactive lessons and practice exercises.. Biology.. Chemistry.. Physics.Social StudiesStudy landmark historical events to understand their impact on the development of the contemporary United States. Learn basic supply and demand principles and how they affect the marketplace.. US History.. US Government.. Economics.EnglishDevelop an aptitude for organizing and presenting information in a clear and concise manner whether on a research paper college essay or cover letter. . Research.. Writing.. Presenting.Foreign LanguageBuild and perfect basic conversational skills in Spanish French Ger |
This book is an introduction to module theory for the reader who knows something about linear algebra and ring theory. Its main aim is the derivation of the structure theory of modules over Euclidean domains. This theory is applied to obtain the structure of abelian groups and the rational canonical and Jordan normal forms of matrices. The basic facts... more...
This volume is based on the lectures given by the authors at Wuhan University and Hubei University in courses on abstract algebra. It presents the fundamental concepts and basic properties of groups, rings, modules and fields, including the interplay between them and other mathematical branches and applied aspects. more...
Tough Test Questions? Missed Lectures? Not Enough Time?
Fortunately, there's Schaum's. This all-in-one-package includes more than 1,900 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... more...
This book provides a thorough, self-contained explanation of Galois theory of commutative rings. Requiring some background in commutative algebra and algebraic geometry, the book gives complete proofs of the main results of separable Galois theory. This edition includes a new chapter that offers background on separability and a new chapter on categorical... more... |
9780470169841Getting ready for calculus but still feel a bit confused? Have no fear. Pre-Calculus For Dummies is an unintimidating, hands-on guide that walks you through all the essential topics, from absolute value and quadratic equations to logarithms and exponential functions to trig identities and matrix operations.With the help of this clear, easy-to-use resource, you'll soon get a handle on all of the concepts - not just the number crunching - 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 precalc isn't as impossible as you thought. Discover how to: Apply the major theorems and formulas Understand quadratic, square-root, absolute value, cubic, and cube-root functions Graph trig functions like a pro Flip-flop with inverse functions Find trig values on the unit circle Work with trig identities and advanced identities Tackle analytic geometry Solve oblique triangles with the laws of sines and cosines Use polar coordinates to express points on a plane Identify function limits and continuity Place vectors on a coordinate plane. Rotate and shift conic section forms Solve systems with mingling and matricesIf "the fun and easy way to learn pre-calc" seems like an oxymoron to you, order Pre-Calculus For Dummies today, and get ready to be surprised!
Author Biography
Krystle Rose Forseth graduated from the University of California, Santa Cruz, where she majored in mathematics with an emphasis in education. She has been tutoring math for eight years and teaching for three. Currently, she is the head of the math department at Fusion Learning Center and Fusion Academy, where she teaches mathematics and oversees the math instructors. Teaching students math has made Krystle a more compassionate individual, and her enthusiasm for the subject makes learning fun.
Christopher Burger graduated with a Bachelor of Arts degree in mathematics from Coker College in Hartsville, South Carolina, with minors in art and theatre. He has taught math for more than 10 years and tutored math subjects ranging from basic math to calculus for 20 years. Currently, he is the director of independent studies for Fusion Learning Center and Fusion Academy in Solana Beach, California, where he not only teaches students one-on-one, but also writes curriculum, oversees a staff of 35 teachers, and maintains high levels of academic rigor within the school. Christopher takes teaching and connecting with his students very seriously, and he believes he makes a difference not only in their math education, but in their lives.
Michelle Rose Gilman is proud to be known as Noah's mom (Hi, Noah!). A graduate from the University of South Florida, Michelle found her niche early, and at 19, she was working with emotionally disturbed and learning-disabled students in hospital settings. At 21, she made the trek to California, where she found her passion for helping teenagers become more successful in school and life. What started as a small tutoring business in the garage of her California home quickly expanded and grew to the point where traffic control was necessary on her residential street. Today, Michelle is the founder and CEO of Fusion Learning Center and Fusion Academy, a private school and tutoring/test prep facility in Solana Beach, California, serving more than 2,000 students each year. She is the author of The ACT For Dummies and other books on self-esteem, writing, and motivational topics. Michelle has overseen dozens of programs over the last 20 years, focusing on helping kids become healthy adults. She currently specializes in motivating the unmotivated adolescent, comforting their shellshocked parents, and assisting her staff of 35 teachers. |
Introductory and Intermediate Algebra for College Students - With 2 CDS - 3rd edition
Summary: TheBlitzer Algebra Seriescombines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum student appeal. Blitzer's personality shows in his writing, as he draws students into the material through relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring that students will actually use their textbook to achieve success! KEY TOPICS: Variables, Real Numbers, and Mathematical Models; Linear Equations and Inequ...show morealities in One Variable; Linear Equations in Two Variables; Systems of Linear Equations; Exponents and Polynomials; Factoring Polynomials; Rational Expressions; Basics of Functions; Inequalities and Problem Solving; Radicals, Radical Functions, and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conic Sections and Systems of Nonlinear Equations; Sequences, Series, and the Binomial Theorem. MARKET: for all readers interested in algebraGWIWM BOOKS Muskegon, MI
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More About
This Textbook
Overview
Authors Gustafson and Frisk present simple arithmetic, geometry, and algebra concepts in a way that vividly shows how the language of numbers plays an integral role in day-to-day life. Because Essential Mathematics with Geometry is more comprehensive than most workbooks and reaches up into the topics of intermediate algebra, it provides the prerequisite background for either a college algebra or a finite mathematics course. Effective in both the classroom and the laboratory, this is one book that contains numerous features that help bring mathematics down to |
Now, children and adults can get personalized algebra instruction in all levels of algebra.....right in their own home! You can master algebra quickly and easily by using Leonard Firebaugh's Algebra on DVD!
These academically-oriented instructional videos teach algebra clearly and effectively
to students at home or school. These algebra DVDs are easily adapted to any educational
setting. The algebra DVDs are divided into three phases, or levels, of algebra instruction.
This site uses frames, please download a free frames enabled browser from Netscape or Microsoft, and come back soon!
This site uses frames, please download a free frames enabled browser from Netscape or Microsoft, and come back soon! |
Algebra 2 - 03 edition
Summary: Applications with "Real" Data Since the graphics calculator is recommended, students experience excitement as they use "real" data in Algebra 2. Students investigate and extend relevant applications through engaging activities, examples, and exercises. Graphics Calculator Technology In Algebra 2, the graphics calculator is an integral tool for presenting, understanding, and reinforcing concepts. To assist student...show mores in using this tool, a detailed keystroke guide is provided for each example and activity at the end of each chapter. Functional Approach Algebra 2 examines functions through multiple representations, such as graphs, tables, and symbolic notation. Working with transformations (investigating how functions are related to each other and their parent functions) prepares students for advanced courses in mathematics by developing an extensive, workable knowledge of functions. ...show less
Shows definite wear, and perhaps considerable marking on inside. Find out why millions of customers rave about Better World Books. Experience the best customer care and a 100% satisfaction guarantee.
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Basic College Mathematics - 2nd edition
ISBN13:978-0077281137 ISBN10: 0077281136 This edition has also been released as: ISBN13: 978-0073406114 ISBN10: 0073406112
Summary: Basic College Mathematicsoffers a refreshing approach to the traditional content of the course. Presented in worktext format,Basic College Mathematicsfocuses on basic number skills: operations and problem-solving with whole numbers, fractions, and decimals. Other topics include geometry, measurement, ratios, proportions, percents, and the real number system (with an introduction to algebra). The text reflects the compassion and insight of its experienced author team with features dev...show moreeloped to address the specific needs of developmental level students. . CURL AND WEAR.
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CSET Mathematics
4 Important points about CSET Math Section
The CSET exam allows the prospective teachers to take those tests that are required for obtaining certification that correspond with the teaching profession. In other words, the candidates for this test do not need to take all the categories of test; rather they should consider taking only those tests that are required for the certification that they want to obtain.
As far as CSET Mathematics test is concerned, it is available in Computer-based administration. The following points sum up the features of the math test of CSET:
The test takers intending to take CSET Mathematics must complete the registration procedure for each subtest in individual sessions.
For Foundational-Level Mathematics, there are two domains or subareas in which the students need to answer the questions. While the first sub category includes Algebra and Number Theory, the second category comprises of Probability and Statistics followed by Geometry.
Those test takers, who intend to obtain Single Subject Teaching Certification in Foundational-Level Mathematics, get an opportunity to teach in specific areas of this subject such as consumer mathematics, general mathematics, probability and statistics, algebra and geometry.
For Algebra in the Foundational-Level of CSET Mathematics, the topics include Algebraic Structures, Polynomial Equations and Inequalities, Functions and Linear Algebra.
The contents of Number Theory include Natural numbers. In the problems of Probability and Statistics, the test takers have to answer the questions that are based on Conditional Probability, permutation and combination, and finite probability to name only a few. On the other hand, calculation of mean, media and mode are the basic areas that are tested in CSET.
In CSET Mathematics, many of the topics of Foundational level are repeated except for Calculus and History of Mathematics.
The topics of Calculus include Trigonometry, Derivatives and Applications, Limits and Continuity, Integrals and Applications along with Sequences and Series.
In History of Mathematics, the topic includes Chronological and Topical Development of Mathematics.
Therefore, CSET Mathematics is a vast section covering a range of varied topics that should be mastered by the test takers. What are the principle issues that must be remembered by CSET test takers while taking the math test? Let us analyze four of these points below:
The CSET Mathematics includes an array of topics or contents and the test takers must work hard to sharpen their skills in each of the subtests.
The duration of the subtests differ in CSET Mathematics. For instance, the test takers are allotted 2 hours for Foundational-Level Mathematics; whereas 150 minutes are provided for the third subtest on Calculus and History of Mathematics. However, with effect from March 25, 2013, the CTC has approved the addition of 30 minutes in the third subtest. On the whole, the time duration of each subtest is inclusive of the time that is required for the completion of the subtests.
The CSET Mathematics is a comprehensive section covering a varied range of topics for the test takers.
The entry-level teachers must follow the study guides and other relevant materials of preparation in order to perform well in the sub tests of CSET Mathematics for obtaining the certification that is desired by them. The pattern of questions may be of multiple-choice format or the test takers may require drawing their responses for the questions that are asked in this section.
For CSET Mathematics, the candidates need to know the subtests that align with the certification that is required by them. Moreover, the test takers must fulfill the passing scores that are devised by CTC or California Commission on Teacher Credentialing. However, the candidates get an opportunity to retake the subtests of CSET Mathematics as many times as they desire although a waiting period of 45 days is required between each administration |
GRE® Math Workbook (Kaplan Gre Math Workbook)
Book Description: Hundreds of realistic practice questions and exercises to prepare you for the Math portion of the GRE.Kaplan's Math Workbook for the GRE, 9th Edition, comprehensively addresses the math section of the GRE Revised General Test. This workbook is a highly effective way to prepare for the math section of the GRE Revised General Test.Kaplan's Math Workbook for the GRE, 9th Edition includes:• 6 full-length Quantitative Reasoning practice sets • Diagnostic tool for even more targeted Quantitative practice • Review of crucial math skills and concepts (including arithmetic, algebra, data interpretation, geometry, and probability) • Key strategies for all Quantitative Reasoning question types on the revised GREKaplan is dedicated to helping our students score higher. We guarantee that students will raise their scores–or get their money back |
Based on Saxon's proven methods of incremental development and continual review strategies, the Algebra 2 Kit covers traditional second-year algebra topics, as well as a full semester of informal geometry. Real-world, abstract and interdisciplinary applications are featured.
This set of tests is ideal for the homeschool family that already has the Algebra 2 curriculum and needs resources for an additional student completing the program.
Product:
Saxon Algebra 2: Homeschool Test Forms Only
Author:
John H. Saxon, Jr.
Edition Number:
2
Series:
Saxon Algebra
Binding Type:
Paperback
Media Type:
Book
Minimum Grade:
9th Grade
Maximum Grade:
12th Grade
Number of Pages:
120
Weight:
0.5 pounds
Length:
10.52 inches
Width:
8.43 inches
Height:
0.16 inches
Publisher:
Saxon Publishers
Publication Date:
September 2006
Subject:
Algebra, Calculus & Trig, Math Algebra 2: Homeschool Test Forms Only.
Average Rating
Parent Rating
Comments
My son has used Saxon for most of his school years and scored high in math on his ACT test after 8th and 9th grade.
This helped my first two children to be ready for calculus in college--they were able to test out of college algebra. My youngest child needed to go at a slower rate and had to take college Math in college. So it is great for those who have a bent for math and science.
If the parent is rusty in algebra and cannot be ready to fully explain the concepts when the book explanation is insufficient, then I recommend the DIVE lecture CDs which go along with the Saxon books. It adds a visual and auditory component, and the explanation is usually just enough different to give the student a new perspective and get them through the lesson.
Our daughter had difficulty with math when we started using Saxon math curriculum. The spiral organization of the curriculum never gave her the opportunity to 'forget' previously learned concepts, but challenged her to continually progress in each concept. Math is now her top subject. |
College Algebra : Graphs and Models - 3rd edition
ISBN13:978-0073051956 ISBN10: 0073051950 This edition has also been released as: ISBN13: 978-0077221287 ISBN10: 0077221281
Summary: TheBarnett 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 proce...show moresses.A hallmark of the Barnett series, the function concept serves as a unifying theme. A major objective of this book is to develop a library of elementary functions, including their important properties and uses. Employing this library as a basic working tool, students will be able to proceed through this course with greater confidence and understanding as they first learn to recognize the graph of a function and then learn to analyze the graph and use it to solve the problem. 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 |
A robust bridge between high school and higher level mathematics, this text presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as solving cubic equations, studying the five Platonic solids, coding secret information, and comparing the sizes of two infinite sets. This third edition contains three new chapters that provide an introduction to mathematical analysis. It also includes solutions to all of the odd-numbered exercises. A solutions manual is available for qualifying instructors.
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Undergraduate Studies
This page describes some of the study opportunities in undergraduate mathematics. For more information on particular math courses refer
to the syllabi.
For information on major and minor programs of study select the appropriate tab above.
Getting started
A student who plans to take any course in mathematics should take the Mathematics Placement Examination (instructions).
The placement exam tests the student's background in algebra, trigonometry, analytic geometry, and some topics of
calculus. The exam scores are reported to the student's academic advisor who helps with course selection.
Elementary Probability and Statistics
MAT 121-122 sequence is designed for students who need statistics to satisfy the quantitative skills requirement.
MAT 221-222 sequence covers similar material but requires more mathematical maturity of the students.
It is appropriate for all students who will need to use statistics in the course of their major program work.
(This is often true of students intending to major in the social sciences.)
Preparation for Calculus
MAT 112 is a review of basic arithmetic and algebra. It carries elective credit but does not satisfy any part of the liberal arts core.
MAT 194 is a pre-calculus course. Mastery of this material is crucial in calculus.
MAT 194 can be used to satisfy part of the quantitative skills requirement.
MAT 193 is an intensive pre-calculus course in which the material of MAT 194 is combined with
the review of algebra.
Calculus
MAT 295-296-397 is a sequence designed for students intending to major or minor in mathematics, physics, or other technical scientific areas that require complete fluency in calculus.
If there is any possibility a student will major or minor in mathematics, that student must take the MAT 295-296-397
sequence in order to be eligible for required upper-level courses.
MAT 285-286 is a sequence for students intending to major in biology or a social science, or to pursue a B.A. degree in chemistry.
MAT 284 is a course designed to meet the needs of management students, who
take it in a sequence with MAT 183 (in either order).
Caution:
Movement between sequences is difficult and will lead to some duplication of material, so making the proper choice
of calculus sequence at the outset is important. Only one of MAT 284 or 285 may be taken for credit.
Students cannot receive credit for MAT 284 or 285 after successful completion of 295.
Also, students cannot receive credit for MAT 295 after successful completion of MAT 286.
Mathematics in the Liberal Arts Core
Students who complete any calculus course numbered 284 or higher with a grade of C or better are exempt from the
quantitative skills requirement. Otherwise, students may satisfy the quantitative skills requirement by passing two
courses in an approved sequence, as described in the Liberal Arts Core Guidebook. Students who have
been awarded six credits in calculus on the basis of an AP exam may use those credits
to satisfy this requirement. All MAT courses with numbers above 230 satisfy the Natural Sciences and Mathematics
divisional requirement.
Mathematics as a Major or Minor
Students who complete MAT 295-296-397 and MAT 331 with excellent grades are encouraged to consider mathematics
as their major or minor. The flexibility of our undergraduate programs allows many students to pursue two majors,
one of them being mathematics. Please refer to the nagivation bar on the top for further information.
Mathematics as a Second Major
Students may wish to declare, fulfill the requirements for, and graduate with two or more majors.
To do so, they should indicate both majors and obtain the appropriate department signatures on the Official Program of Study Form. The second major may be added no later than the registration period for the last full semester of study. |
...I have helped students of all ages backgrounds and abilities make studying more efficient. Discrete math is a catch-all term encompassing many diverse areas of mathematics. There is no universal agreement as to what constitutes discrete math |
Introductory and Intermediate Algebra for College Students - With 2 CDS - 3rd edition
Summary: TheBlitzer Algebra Seriescombines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum student appeal. Blitzer's Equations and Inequ...show morealities in One Variable; Linear Equations in Two Variables; Systems of Linear Equations; Exponents and Polynomials; Factoring Polynomials; Rational Expressions; Basics of Functions; Inequalities and Problem Solving; Radicals, Radical Functions, and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conic Sections and Systems of Nonlinear Equations; Sequences, Series, and the Binomial Theorem. MARKET: for all readers interested in algebra. ...show less
Upper Saddle River, NJ 2008 Other 3rd ed. Very Good. No guarantee for ancillary materials(Such as CDs, Online access code). Ships today or the next business day.
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Hardcover Fine 0136028950 This book is in Like New Used Condition. STUDENT US EDITION. CD INCLUDED. All pages are clean and intact. There is No highlighting or underlines. Best buy. Shipped promptl...show morey and packaged carefully. ...show less
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Hardcover New 0136028950 New book with very minor shelf wear. STUDENT US EDITION. Never used. Nice gift. Best buy. Shipped promptly and packaged carefully.
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May contain some highlighting. Supplemental materials may not be included. We select best copy available. - 3rd Edition - Hardcover - ISBN 9780136028956
$159 |
Drawing Program
ACCESSMATHS
AccessMaths is a geometrical drawing program designed to provide a range of input options for students with upper extremity or fine motor disabilities. The program can be operated using the keyboard, mouse, track ball, or Concept Keyboard. The program approaches drawing tasks using geometrical principles. The user defines reference points on the screen, such as the ends of lines or the center points of arcs, and the program automatically draws the shape. The program's drawing tools allow the swift and accurate construction of lines, squares, rectangles, circles, semi-circles, ellipses, triangles (equilateral, isosceles and scalene), polygons (regular and irregular), parallelograms, arcs, and pie charts, all of which may be annotated by arrows and text. There are three preset Toolbox configuration levels to suit different ability levels of use, and users can customize these by adding or deleting tools, or creating completely new configurations. The drawing tools are complemented by a full set of editing facilities, including scale and rotation tools. The user can create grids to work on, import a background image, and create and edit text for annotating drawings. Other features incude three on-screen measuring tools (ruler, protractor, and set square) that can be manipulated freely around the drawing area; a zoom tool; a transform tool that enables users to modify an existing shape; a fill tool for coloring drawings; and a joined-line tool for the creation of complex polygons. Users can scroll around pages, move shapes simply by clicking on them, and export all or part of a worksheet or picture as a bitmap file. Three simple educational activities (an abacus, clock and number line) are included to give younger students a friendly introduction to the world of mathematics. Images from all three can be pasted directly into the main program as part of the drawing or for printing. Users decide which tools and features appear on screen, so that the appearance of the screen matches the ability of the user. Switch users can access the program through specialized Switch Access for Windows (SAW) Selection Sets. On-screen help is available via a Help dialogue box and an extensive set of help files. This program provides users with access to the tools necessary for the geometry components of key stages 2, 3, and 4 of the United Kingdom's National Curriculum. COMPATIBILITY: For use with IBM and compatible computers. SYSTEM REQUIREMENTS: 32 megabytes (Mb) random access memory (RAM); 5 Mb of hard disk space; Windows 95, 98, ME, NT4, or 2000.
Notes: A demo version of this product can be downloaded from the manufacturer's web site.
Price:
Contact manufacturer.
This product record was updated on April 24, 2003.
This product is available from:
Manufacturer:
ACE Centre
The ACE Centre (Aiding Communication in Education) offers help and support to children with complex physical and communication difficulties and their parents, caregivers, and therapists. Working with parents, the child, and the child's school, it identifies communication aids and other technologies and methods that can enable the child to communicate and read. In addition to assessment and training services, it also develops software and participates in research projects |
The main aims of this seminar will be to go over the classification of surfaces (Enriques-Castelnuovo for characteristic zero, Bombieri-Mumford for characteristic p), while working out plenty of examples, and treating their geometry and arithmetic as far as possible.
(less)
In this lesson students review geometry vocabulary. The students get moving and ...
(more)
In this lesson students review geometry vocabulary. The students get moving and journey through the school and take photos of items that represent geometry vocabulary. They turn these photos into a virtual field trip.
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Play some of these geometry games to learn more about shapes, angles, ...
(more)
Play some of these geometry games to learn more about shapes, angles, and much more! Learn about angles while playing Pool Geometry! Make shapes using others shapes in RoboPacker! Go from planet to planet in Planet Hop!
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Origami (ori-folding, kami-paper) is the traditional Japanese art of folding paper. Students ...
(more)
Origami (ori-folding, kami-paper) is the traditional Japanese art of folding paper. Students will discover relationships between shapes as they are actively engaged in this hands on geometry lesson to learn basic geometric shapes, their angles, and symmetry.
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In this course, you will study the relationships between lines and angles. ...
(more)
In this course, you will study the relationships between lines and angles. You will learn to calculate how much space an object covers, determine how much space is inside of a three-dimensional object, and other relationships between shapes, objects, and the mathematics that govern them.
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This course is oriented toward US high school students. Its structure and ...
(more)
This course is oriented toward US high school students. Its structure and materials are aligned to the US Common Core Standards. Foci include: formulas for calculating the volume of prisms, cylinders, pyramids, cones, and spheres; and assist you in using geometric modeling to solve problems involving three-dimensional figures.
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This is a second-semester graduate course on the geometry of manifolds. The ...
(more)
This is a second-semester graduate course on the geometry of manifolds. The main emphasis is on the geometry of symplectic manifolds, but the material also includes long digressions into complex geometry and the geometry of 4-manifolds, with special emphasis on topological considerations.
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CK-12's Basic Geometry FlexBook is designed to present students with geometric principles ...
(more)
CK-12's Basic Geometry FlexBook is designed to present students with geometric principles in a simpler, more graphics-oriented course. Students will explore geometry at a slower pace with an emphasis placed on visual aids and approachability.
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This is an introductory (i.e. first year graduate students are welcome and ...
(more)
This is an introductory (i.e. first year graduate students are welcome and expected) course in generalized geometry, with a special emphasis on Dirac geometry, as developed by Courant, Weinstein, and Severa, as well as generalized complex geometry, as introduced by Hitchin. Dirac geometry is based on the idea of unifying the geometry of a Poisson structure with that of a closed 2-form, whereas generalized complex geometry unifies complex and symplectic geometry. For this reason, the latter is intimately related to the ideas of mirror symmetry.
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Course Summary
This course provides a brief review of introductory algebra topics. Topics to be covered include integer operations, order of operations, perimeter and area, fractions and decimals, scientific notation, ratios and rates, conversions, percents, algebraic expressions, linear equations, the Pythagorean theorem, and graphing.
Why Take This Course?
At the end of this course students will have reviewed the core topics of introductory algebra. Students will be comfortable with the concepts and procedures of introductory algebra, and be able to apply their knowledge to other coursework and real-world problems.
Instructors & Partners
Kelly Vetter
Instructor
Kelly Vetter is an instructor at Wake Technical Community College. She has a B.S. in Mathematics Education and a Certificate in E-Learning from North Carolina State University. She has taught math for a total of 17 years and has been teaching developmental math for 12 of those years. She has taught in various formats including the classroom, online, and hybrid courses.
Sue Ann Austin
Instructor
Sue Ann Austin is an instructor at Wake Technical Community College. She has taught developmental math for 4 years and prior to that was a high school math teacher. She has a B.S. in Applied Mathematics from Carnegie-Mellon University and completed the NC Teach program at North Carolina State University. She was a software engineer for 15 years prior to entering the field of education.
Andy Brown
Course Developer
After graduating from MIT with a degree in physics in 2009, Andy spent two years teaching, traveling around the world, and biking across the United States. When he heard about Udacity, he abandoned his vagabond ways to share his passion for learning and teaching with the world. |
The Texas Instruments TI-34 MultiView Calculator was designed with educator input in mind. It's best used for middle grades math and science classes. Easy to use, students can compute, calculate, and analyze math and science problems quickly. |
Conference Proceedings Detail Page
This paper is part of an ongoing investigation of how students use and understand mathematics in introductory physics. Our previous research [1] revealed that differences in score as large as 50% can be observed between numeric and symbolic versions of the same question. We have expanded our study of numeric and symbolic differences to include 10 pairs of questions on a calculus based introductory physics final exam. We find that not all physics problems exhibit such large differences and that in the cases where a large difference is observed that the largest difference occurs for the poorest students. With these 10 questions we have been able to develop phenomenological categories to characterize the properties of each of the questions. We will discuss what question properties are necessary to observe differences in score on the numeric and symbolic versions. We will also discuss what insights these categories give us about how students think about and use symbols in physics.
Physics Education Research Conference 2007
Part of the PER Conference series
Greensboro, NC:
August 1-2, 2007
Volume 951, Pages 200-203
Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications. |
In this study, the author examined the relationship of probability misconceptions
to algebra, geometry, and rational number misconceptions and investigated the potential
of probability instruction as an intervention to address misconceptions in all...
The purpose of this study was to examine common algebra-related misconceptions and errors of middle school students. In recent years, success in Algebra I is often considered the mathematics gateway to graduation from high school and success |
Exam Review
General Rules for the Uniform Exams and Final
Check with your instructor to see whether you are allowed
a 3x5 card on exams.
No other notes or books are allowed at the exams. If you bring other
materials for the purpose of last minute study, they must be placed out
of view completely under your seat before the exam begins.
You should have your programmable graphing calculator with you.
Remember to have the angular measure set to radian mode, and to check
the battery level.
Suggested Exam Study Tactics
Look over your old homework assignments, including the individual and
group homework,
and see if you can write solutions to the exercises that caused you the
most trouble without looking at your previous solutions. If there are
certain types of exercises you never figured out or still cannot do, get
help from your instructor, other students, or the
Math Lab.
For each section of the text that will be covered on the exam, write a
paragraph in your own words that describes the main ideas in the section,
why these ideas are important, and how you can use the ideas to solve
problems. (For the final exam, you may wish to do this only for the
sections covered since the second midterm, and read the paragraphs
you wrote when studying for the midterm exams.)
Read through the relevant review sheets
listed below, and make sure you understand
each of the topics and have each of the skills described on those sheets.
Think carefully about what you want to write on your note card (if allowed). |
Streamlined Curriculum
In 1961 with a student population of 1200, the mathematics department
with six faculty members offered a much concentrated curriculum from
early years. Here it is evident that two main curricular streams were
emerging: analysis and algebra. Further details of the changing
curriculum are collected in the
Evolution of the Mathematics Curriculum.
401 - The Teaching of Mathematics: The history of
mathematics and the aims and methods of teaching mathematics in the
secondary schools. (Prerequisite: Mathematics 106 and
senior standing.) 3 hours. Offered 1961-62 and alternate years.
- Hansman, Leech. |
The following topics are included in CBSE class 12 test papers for Mathematics. Matrices: Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices. Determinants: Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle.
The following topics are included in CBSE class 12 test papers for Mathematics. Continuity and Differentiability derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function.
The following topics are included in CBSE class 12 test papers for Mathematics. Integrals integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus.
The following topics are included in CBSE class 12 test papers for Mathematics. Integration of a variety of functions by substitution, by partial fractions and by parts. Definite integrals as a limit of a sum, Fundamental Theorem of Calculus. Applications of the Integrals.
The following topics are included in CBSE class 12 test papers for Mathematics. Differential Equations Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given.
The following topics are included in CBSE class 12 test papers for Mathematics. Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Three - dimensional Geometry Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Angle between (i) two lines, (ii) two planes. (iii) a line and a plane. Distance of a point from a plane.
CBSE Mixed Test Papers for class 12 mathematics for CBSE board examinations. These Test Papers includes more then one topic. Most of these papers are Unit Test Paper and Half Yearly Paper of Various KV and other reputed public school. These papers will help student to check his/her performance. |
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Starting at $97Mathematics All Around
Mathematics All Around
Mathematics All Around
Mathematics All Around
Mathematics All Around Plus MyMathLab Student Access Kit
Mathematics All Around Plus NEW MyMathLab with Pearson eText -- Access Card Package
Student Solutions Manual for Mathematics All Around
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Summary
Pirnot's Mathematics All Aroundoffers the supportive and clear writing style that you need to develop your math skills. By helping to reduce your math anxiety, Pirnot helps you to understand the use of math in the world around you. You appreciate that the author's approach is like the help you would receive during your own instructors' office hours. The Fifth Editionincreases the text's emphasis on developing problem-solving skills with additional support in the text and new problem-solving questions in MyMathLab. Quantitative reasoning is brought to the forefront with new Between the Numbers features and related exercises. Since practice is the key to success in this course, exercise sets are updated and expanded. MyMathLab offers additional exercise coverage plus new question types for problem-solving, vocabulary, reading comprehension, and more.
Author Biography
Tom Pirnot received his bachelor's degree in music from Wilkes College and his PhD in mathematics from The Pennsylvania State University. He taught both mathematics and computer science at Kutztown University for thirty eight years. He has long been an innovator in liberal arts mathematics, writing his first text Mathematics: Tools and Models with Dalton Hunkins in 1977 which introduced topics such as apportionment, graph theory, and modeling to liberal arts students. His current text, Mathematics All Around, is now in its fourth edition. Tom continues to enjoy the loving support and encouragement of his wife Ann, their four children, and three grandchildren. |
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Product Description
Turn Master Books' Exploring series into a homeschool science curriculum with this convenient lesson planner. Covering 36 weeks of instruction for Exploring the World of Mathematics and Exploring the World of Physics true/false and fill-in-the-blank questions; the book page numbers and day number are on the top of the worksheets for easy assignment tracking. Tests include matching, short answers, fill-in-the-blank questions, and applied learning activities.
As they work through Exploring the World of Mathematics, students will learn about the many advancements and branches of mathematics that have been developed as people encountered problems and relied upon math to solve them. In the Exploring the World of Physics portion of the course, students will discover how physics really isn't that complicated: they'll learn how a feather and a lump of lead fall at the same rate and how the laws of motion and gravity affect everything from everyday life to launching rockets 134 perforated, three-hole-punched pages.
Publisher's Description
This Concepts of Mathematics and Physics contains materials for use with Exploring the World of Mathematics and Exploring the World of Physics in the Exploring series.
Features: Each suggested weekly schedule has three easy-to-manage lessons which combine reading, worksheets, and vocabulary-building opportunities including an expanded glossary for each book |
Mathematica!
One area of mathematics that has its roots deep in philosophy is the study of logic. Logic is the study of formal reasoning based upon statements or propositions. (Price, Rath, Leschensky, 1992) Logic evolved out of a need to fully understand the details associated with the study of mathematics.
Logic
Business Calculus
spring 2009 course descriptionspring 2009 syllabusinstructions for the TI-83/84course reviewstudy tips Calculus is usually a major change for math students. This is appropriate, because calculus is the study of change: slope, velocity, growth rate, and other ways that we describe how one quantity changes with respect to another. Calculus is also perceived as difficult, and historically for the scientific community it was. It took about 300 years of concentrated effort to develop calculus as a usable and well-founded discipline!
Peter Alfeld, --- Department of Mathematics, --- College of Science --- University of Utah a study guide by Peter Alfeld. I wrote this page for students at the University of Utah. You may find it useful whoever you are, and you are welcome to use it, but I'm going to assume that you are such a student (probably an undergraduate), and I'll sometimes pretend I'm talking to you while you are taking a class from me. Let's start by me asking you some questions. If you are interested in some suggestions, comments, and elaborations, click on the Comments.
Understanding Mathematics |
Key Message: The first book of a three-part series,Prealgebra Problem Solving, Second Edition, illustrates how mathematics arises naturally from everyday situations through updated and revised real-life activities and the accompanying practice exercises. Along with the activities and the exercises within the text, MathXL reg; and MyMathLabtrade; have been enhanced to create a better overall learning experience for the reader. Technology integrated throughout the text helps readers interpret real-life data algebraically, numerically, symbolically, and graphically. The active style of this book develops readers'mathematical literacy and builds a solid foundation for future study in mathematics and other disciplines. Key Topics: Whole Numbers and Problem Solving; Variables and Problem Solving; Problem Solving with Rational Number: Addition and Subtraction of Integers, Fractions, and Decimals; Adding and Subtracting Integers; Adding and Subtracting Fractions; Adding and Subtracting Decimals; Multiplication and Division of Rational Numbers; Multiplying and Dividing Integers; Multiplying and Dividing Fractions; Multiplying and Dividing Decimals; Problem Solving with Ratios, Proportions, and Percents; Problem Solving with Geometry; The Geometry of Two-Dimensional Plane Figures; The Geometry of Three-Dimensional Space Figures; More Problem Solving with Algebra and Models; Mathematical Modeling and Problem Solving Involving Solution of Equations Market: For all readers interested in Prealgebra, Algebra.
Table of Contents
Preface
p. xv
Whole Numbers
p. 1
Education Pays
p. 1
Objectives
Read and write whole numbers
Compare whole numbers using inequality symbols
Round whole numbers to specified place values
Use rounding for estimation
Classify whole numbers as even or odd, prime, or composite
Solve problems involving whole numbers
Bald Eagle Population Increasing Again
p. 10
Objectives
Read tables
Read bar graphs
Interpret bar graphs
Construct graphs
Bald Eagles Revisited
p. 19
Objectives
Add whole numbers by hand and mentally
Subtract whole numbers by hand and mentally
Estimate sums and differences using rounding
Recognize the associative property and the commutative property for addition
Translate a written statement into an arithmetic expression
Summer Camp
p. 31
Objectives
Multiply whole numbers and check calculations using a calculator
Multiply whole numbers using the distributive property
Estimate the product of whole numbers by rounding
Recognize the associative and commutative properties for multiplication
College Supplies
p. 39
Objectives
Divide whole numbers by grouping
Divide whole numbers by hand and by calculator
Estimate the quotient of whole numbers by rounding
Recognize the noncommutative property for division
Reach for the Stars
p. 49
Objectives
Use exponential notation
Factor whole numbers
Determine the prime factorization of a whole number
Recognize square numbers and roots of square numbers
Recognize cubed numbers
Apply the multiplication rule for numbers in exponential form with the same base
You and Your Calculator
p. 59
Objectives
Use order of operations to evaluate arithmetic expressions
Use order of operations to evaluate formulas involving whole numbers
What Have I Learned?
p. 67
How Can I Practice?
p. 71
Summary
p. 77
Gateway Review
p. 83
Variables and Problem Solving
p. 91
How Much Do I Need to Buy?
p. 91
Objectives
Recognize and understand the concept of a variable in context and symbolically
Translate a written statement (verbal rule) into a statement involving variables (symbolic rule) |
A flexible program with the solid content students need, Glencoe Algebra 1 strengthens student understanding and provides the tools students need to succeed--from the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests.
The book's design is up-to-date as it underlines the real-world applications of Maths as well as its connections to other subjects like science, history and music. The Chapter Projects, Hands-On Labs, and Interdisciplinary Investigations makes the book very useful and interesting to the students.
This textbook of Glencoe Mathematics Course 1 has unit lessons on Number, Operations, and Statistics, Number and Operations: Decimals and Fractions, Patterns, Relationships, and Algebraic Thinking, Measurement and Geometry, Number, Operations, and Algebraic Thinking.
This book is talked about The Texas Prairies and Lakes region offers a wide range of attractions. Among them is the States Fair of Texas. Located in Dallas, it boasts the 212-foot Texas Star-the tallest Ferris wheel in North America. As with all circles, the ratio of the circumference of the Texas Star to its diameter is a constant, π. You'll learn more about ratios in Chapter 7 and circumference in Chapter 12.
Mathematics: Applications and Concepts is a three-course Middle School series intended to bridge the gap from Elementary Mathematics to Algebra 1"Mathematics: Applications and Concepts is |
Elementary Education
Mathematics for Elementary Teaching II
Class Level: Junior
Credits: 2
Department: Education
Term:
Description: This course is the second foundational course in the mathematics content area for elementary education majors. It includes exploration of our number system including properties, basic operations and algorithms, probability, statistics, measurement, coordi
Overheard
"
Franklin College has prepared me by teaching me how to adapt to situations quickly." |
Mathematics
The ever-increasing advances in computer technology has enabled many in science and engineering to apply numerical methods to simulate physical phenomena. Numerical methods are often divided into elementary ones such as finding the root of an equation, integrating a function or solving a linear system of equations to intensive ones like the finite element method. Intensive methods are often needed for the solution of practical problems and they often require the systematic application of a range of elementary methods, often thousands or millions of times over. In the development of numerical methods, simplifications need to be made to progress towards a solution: for example general functions may need to be approximated by polynomials and computers cannot generally represent numbers exactly anyway. As a result, numerical methods do not usually give the exact answer to a given problem, or they can only tend towards a solution getting closer and closer with each iteration. Numerical Submitted: Mar 27, 2001
The purpose of this site is to provide a resources on the Boundary Element Method (BEM). Libraries of subroutines on Laplace problems (electrostatics, steady state heat conduction and potental flow) and Helmholtz problems (acoustics, electromagnetics) in Fortran are available, many codes can be downloaded. Submitted: Mar 27, 2001
3DMath Explorer is a computer program that pilots 2D and 3D graphs of mathematical functions and curves in unlimited graphing space. It has many useful features screens etc. Submitted:
Powerful and easy-to-use graphing tool for plotting and analysing graphs of mathematical functions. It is fully customizable, supports wide variety of functions and provides you with great analitical capabilities. Submitted: Dec 10, 2002
Collaborative research between Greg Henry (Intel), John Gunnels (UT-Austin), and Robert van de Geijn (UT-Austin) has resulted in a fast implementation of the BLAS matrix multiplication kernel (DGEMM). The first regular release of ITXGEMM (Release R1.0) is now available for the Intel Pentium (R) III processor. Submitted: Dec 18, 2000 |
Odyssey Algebra
04/01/05
CompassLearning ( has expanded its entire suite of Odyssey products, including Odyssey Algebra for middle schools and secondary education. The browser-based curriculum will help teachers offer a comprehensive approach to math education, while providing a platform that supports a variety of instructional strategies and learning styles. Odyssey Algebra has 13 chapters and 131 objectives to cover in an entire school year. The curriculum's online features include interactive tutorials that are woven throughout the program and aids such as online calculators, graph paper, number lines, protractors, spreadsheets and rulers. The program also provides additional offline materials for students that are designed to extend learning beyond the classroom |
From Lie theory to matrices, this site covers most of the topics included in linear algebra. Thorough notation and diagrams enhance the review pages and clarify the theorem explanations. Topics include linear transformation, systems of equations, and a complete overview of terms and definitions. Eigenvalues and eigenvectors, as well as many relevant theorems, can be found under the matrices tab. As with all the MathWorld sites, the information is abstracted and intended for the very advanced student. This resource is part of the Teaching Quantitative Skills in the Geosciences collection.
Intended for grade levels:
College (13-14)
College (15-16)
Graduate / Professional
Type of resource:
Text:
Ref. material
Subject:
Mathematics
Technical requirements:
No specific technical requirements, just a browser required
Cost / Copyright:
No cost
These pages may not be copied, mirrored, or reproduced in bulk without permission of the author. Reproduction for commercial purposes is not permitted, nor is use of robots to create archival copies. Copyright 1999-2002 Wolfram Research, Inc. |
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series. The one page interactive worksheet contains fifty-two problems. Answers are not provided.
Learners investigate sequences and series numerically, graphically, and symbolically. For this sequences and series lesson, students use their Ti-89 to determine if a series is convergent. Learners find the terms in a sequence and series and graph them. Students use summation notation to determine the sum of a sequence. infinite series worksheet, students use comparisons to determine convergence for improper integrals. They use the integral test for infinite series. Students state the reasons they believe a given integral is converging or diverging.
Students find patterns in a sequence. In this sequences and series lesson, students use their calculator to find the sequence of partial sums. They graph functions and explore convergent series. Students approximate alternating series |
fMath Editor - Cute Editor plugin is the best math editor to create and edit equations on web. It has more than 20000 symbols to display and a rich interface. The formula can edited by interface or in MathML or in LaTeX. And is free of charge to use and to distribute.
This program is about every thing you want to know about real numbers. It discusses introduction to real numbers in a very simple understandable mathematical language because the aim of this program is to understand and not memorize mathematics. It also include fractions, addition and subtraction, multiplication and division of real numbers.
Mind4Math Decimals (Incls Adv) is an easy to use teaching assistant for both the classroom educator and the home teacher. Mind4Math includes addition, subtraction, multiplication, division as decimal problems for your young students. It delivers custom practice worksheets for the student and answer sheets for the teacher or parent.
Usmania Calculator provides calculation in linear style, lengthy input entry just like it is written on paper. It enables you to write in normal, superscript and subscript, as you write on paper. This way it is much closer to daily life calculation style and hence easier.
UCALC 4.0 is a multi-purpose calculator which includes an expression evaluator, unit converter, equation solver, grapher, general ledger, numerical integrator, financial modules, and support for User Solution Modules.Whether you need to compute compound interest, convert from miles to kilometers, solve a quadratic equation, plot a 3D surface, or simply add up bills, you will find a tool in UCALC 4.
CurveFitter program performs statistical regression analysis to estimate the values of parameters for linear, multivariate, polynomial, exponential and nonlinear functions. The regression analysis determines the values of the parameters that cause the function to best fit the observed data that you provide.
Geometrical constructions with ruler and compass. Write a source file with a provided editor and see output of your construction. There is a step-by-step option to see all steps of a construction. Constructions of polyhedrons with many examples. Graphs.
A calculator original, multifunctional and friendly.
Calc-Express is a calculator specifically for complex expressions with square roots, powers to "n", percentages and trigonometric functions, has the ability to store operations and results, both on video and a file.
This software has been designed to improve Mental Ability. This software is based on a puzzle designed by Mr. Pradeep Kumar (Director, Magical Methods) where you need to work on addition, subtraction, squaring & square root simultaneously. This software should be used with the Vedic Squaring- 1 & Vedic Squaring- 2 Course.
A handy, fast, reliable, precise tool if you need to perform complex mathematical calculations Scientific Calculator Precision 27 is programmed in C#. All calculations are done in proprietary data type. The calculator handles mathematical formulas of any length and complexity
RCT Binary Converters allows you to convert text to binary and back. Rapid Cash Tornado Review - [Amazing Bonus]. Is Rapid Cash Tornado the real deal or just all hype? You'll want to read my review you before you buy..
The Prime Number Spiral (a.k.a. the Ulam Spiral) is constructed as follows: Consider a rectangular grid. We start with the central point and arrange the positive integers in a spiral fashion (anticlockwise). The prime numbers are then marked. There is a tendency for the prime numbers to occur on diagonal lines, however far out into the spiral one goes.
BlitzCalc is a very useful and handy calculator for Windows. It supports mathematical, arithmetical, trigonometric, statistical, and other functions, including physical and mathematical constants. In contrast to all ordinary calculators, BlitzCalc lets you make your calculations (both simple and advanced) with a single keypress in any window.
The objective of this software is to improve Mental Agility. After a regular practice on Addition software your kid's calculation speed should increase 10 to 15 times. MATHO-Eqn software has been divided in two levels viz. Beginner & Expert. A child is required to do a lot of things together while working on this software.
Mesh Symbolic Electronic Circuit analysis Mesh electronic circuit analysis is an open source Visual Basic 6 program which is under active development at SourceForge. Please see the download page, for latest source code. Symbolic analysis, is where the resistance and voltage in an electronic circuit is defined in terms of variables, i.
A Program for Statistical Analysis and Matrix Algebra
MacAnova is a free, open source, interactive statistical analysis program for Windows, Macintosh, and Linux written by Gary W. Oehlert and Christopher Bingham, both of the School of Statistics, University of Minnesota.
The objective of this software is to improve Mental Subtraction. After a regular practice on Subtraction software your kid's calculation speed should increase 10 to 15 times. MATHO-Sub software has been divided in three levels viz. Beginner, Medium & Expert.
Mind4Math Adv (Incl Grds 1&2) includes addition, subtraction, multiplication, and division problems for your young students. It delivers custom practice worksheets for the student and answer sheets for the teacher or parent. Mind4Math is not intended to replace curriculum, but to supplement the student needs.
Converter II - A highly configurable,easy-to-use unit conversion program featuring single-click unit selection,international number format support and more! It converts almost all units,covering 350 units of 44 categories by default, including conversionsbetweenbinary, octal, hexadecimal and decimal numbers.
HEXelon MAX Solves math expressions like: Sin(Pi)-Root(-8;3)+3 Creates user's functions (e.g. surfaces, volumes, and so on). Publishes in Internet. Receives from Internet. Program shows position of bugs in math expression made by user. Descriptions of bugs help solve a problem.
Today\'s technology can help you learn the times tables without you notice. Discover how the subliminal technology that is used in science and marketing can help you learn the times tables under the premise that the regular conscious way of learning is through repeated experience and practice, making the times tables stored deep within your mind on an unconscious level.
The Art2m Fraction Series enhances a students ability to convert from improper and mixed numbers to proper fractions, and master the skills of addition, subtraction, multiplication, and division of fractions. There are different levels of difficulty in each category to choose from. |
Mathematics
Most high school students study several types of mathematics. In college, they complete addi-
tional math courses, some of which prepare them to study even more kinds of mathematics. You may
think of math as one subject; in fact, there are many types of mathematics. This report describes seven
kinds.
Arithmetic
Arithmetic is the first branch of mathematics that you studied in elementary and middle school.
It deals with the study of numbers and the use of the four fundamental processes:
Addition
Subtraction
Multiplication
Division
Arithmetic is everyday math. You use it daily in your personal affairs, and arithmetic is the basis
for most other branches of mathematics.
Algebra
Algebra is used widely to solve problems in business, industry, and science by using symbols,
such as x and y, to represent unknown values. The power of algebra is that it enables us to create,
write, and rewrite problem-solving formulas. Without algebra, we would not have many of the items
we use on a daily basis: television, radio, telephone, microwave oven, etc.
Geometry
Geometry is the branch of mathematics that deals with shapes. More specifically, geometry is
the study of relations, properties, and measurements of solids, surfaces, lines, and angles. It is most
useful in building or measuring things. Architects, astronomers, construction engineers, navigators, and
surveyors are just a few professionals who rely on geometry.
Trigonometry
Trigonometry is mathematics that deals with triangular measurements. Plane trigonometry
computes the relationships between the sides of triangles on level surfaces called planes. Spherical tri-
gonometry studies the triangles on the surface of a sphere.
Calculus
Calculus is high-level mathematics dealing with rates of change. It has many practical applica-
tions in engineering, physics, and other branches of science. Using calculus, we understand and explain
how water flows, the sun shines, the wind blows, and the planets cycle through the heavens. Differen-
tial calculus determines the rate at which an object's speed changes. Integral calculus determines the
object's speed when the rate of change is known.
Probability
Probability is the study of the likelihood of an event's occurrence. It is useful in predicting the
outcomes of future events. Probability originated from the study of games of chance. It is now used for
other purposes, including to (1) control the flow of traffic through a highway system; (2) predict the
number of accidents people of various ages will have; (3) estimate the spread of rumors; (4) predict the
outcome of elections; and (5) predict the rate of return in risky investments.
Statistics
Statistics is the branch of mathematics that helps mathematicians organize and find meaning in
data. Statistics is
. . . the science of collecting, analyzing, presenting, and interpreting data. Governmental needs
for census data as well as information about a variety of economic activities provided much of
the early impetus for the field of statistics. Currently the need to turn the large amounts of data
available in many applied fields into useful information has stimulated both theoretical and
practical developments in statistics |
This series of videos, created by Salman Khan of the Khan Academy, features topics covered from very basic algebra all the way through algebra II. This is the best algebra playlist to start at if you've never seen...
This algebra lesson helps students explore polynomials by solving puzzles. The activity explains the relationship between expanding and factoring polynomials, as well as factoring trinomials, and multiplying monomials...
This lesson involves economics and mathematical materials. Students will use their knowledge of exponents to compute an investment's worth using a formula and a compound interest simulator. They may also use the model...
This algebra lesson from Illuminations has students collect data for rolling objects of differing sizes in order to further understand periodic phenomena. They will then create two sinusoidal graphs of the data....
This series of videos contains 180 Worked Algebra I examples (problems written by the Monterey Institute of Technology and Education). You should look at the "Algebra" playlist if you've never seen algebra before or if... |
More About
This Textbook
Overview
Devised in the 19th century, Gauss and Jacobi Sums are classical formulas that form the basis for contemporary research in many of today's sciences. This book offers readers a solid grounding on the origin of these abstract, general theories. Though the main focus is on Gauss and Jacobi, the book does explore other relevant formulas, including Cauchy |
Linear algebra and matrix theory have long been fundamental tools in mathematical disciplines as well as fertile fields for research. In this book the authors present classical and recent results of matrix analysis that have proved to be important to applied mathematics. Facts about matrices, beyond those found in an elementary linear algebra course, are needed to understand virtually any area of mathematical science, but the necessary material has appeared only sporadically in the literature and in university curricula. As interest in applied mathematics has grown, the need for a text and reference offering a broad selection of topics in matrix theory has become apparent, and this book meets that need. This volume reflects two concurrent views of matrix analysis. First, it encompasses topics in linear algebra that have arisen out of the needs of mathematical analysis. Second, it is an approach to real and complex linear algebraic problems that does not hesitate to use notions from analysis. Both views are reflected in its choice and treatment of topics. [via]
Building on the foundations of its predecessor volume, Matrix Analysis, this book treats in detail several topics with important applications and of special mathematical interest in matrix theory not included in the previous text. These topics include the field of values, stable matrices and inertia, singular values, matrix equations and Kronecker products, Hadamard products, and matrices and functions. The authors assume a background in elementary linear algebra and knowledge of rudimentary analytical concepts. The book should be welcomed by graduate students and researchers in a variety of mathematical fields both as an advanced text and as a modern reference work. [via] |
Basic Mathematics - 7th edition
Summary: Patient and clear in his explanations and problems, Pat McKeague helps students develop a thorough understanding of the concepts essential to their success in mathematics. Each chapter opens with a real-world application. McKeague builds from the chapter-opening applications, such as the average amount of caffeine in different beverages, and uses the application as a common thread to introduce new concepts, making the material more accessible and engaging for student...show mores. Diagrams, charts, and graphs are emphasized to help students understand the material covered in visual form. McKeague's unique and successful EPAS system of Example, Practice, Answer, and Solution actively involves students with the material and thoroughly prepares them for working the Problem Sets. The Sixth Edition of BASIC MATHEMATICS also features a robust suite of online course management, testing, and tutorial resources for instructors and students. This includes iLrn Testing and Tutorial, vMentor live online tutoring, the Digital Video Companion CD-ROM with MathCue, a Book Companion Web Site featuring online graphing calculator resources, and The Learning Equation (TLE), powered by iLrn. TLE provides a complete courseware package, featuring a diagnostic tool that gives instructors the capability to create individualized study plans. With TLE, a cohesive, focused study plan can be put together to help each student succeed in math597405559740 |
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...The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business. Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digit |
Explained: Matrices
Dec 06, 2013 by Larry Hardesty
Among the most common tools in electrical engineering and computer science are rectangular grids of numbers known as matrices. The numbers in a matrix can represent data, and they can also represent mathematical equations. In many time-sensitive engineering applications, multiplying matrices can give quick but good approximations of much more complicated calculations.
Matrices arose originally as a way to describe systems of linear equations, a type of problem familiar to anyone who took grade-school algebra. "Linear" just means that the variables in the equations don't have any exponents, so their graphs will always be straight lines.
The equation x - 2y = 0, for instance, has an infinite number of solutions for both x and y, which can be depicted as a straight line that passes through the points (0,0), (2,1), (4,2), and so on. But if you combine it with the equation x - y = 1, then there's only one solution: x = 2 and y = 1. The point (2,1) is also where the graphs of the two equations intersect.
The matrix that depicts those two equations would be a two-by-two grid of numbers: The top row would be [1 -2], and the bottom row would be [1 -1], to correspond to the coefficients of the variables in the two equations.
In a range of applications from image processing to genetic analysis, computers are often called upon to solve systems of linear equations—usually with many more than two variables. Even more frequently, they're called upon to multiply matrices.
Matrix multiplication can be thought of as solving linear equations for particular variables. Suppose, for instance, that the expressions t + 2p + 3h; 4t + 5p + 6h; and 7t + 8p + 9h describe three different mathematical operations involving temperature, pressure, and humidity measurements. They could be represented as a matrix with three rows: [1 2 3], [4 5 6], and [7 8 9].
Now suppose that, at two different times, you take temperature, pressure, and humidity readings outside your home. Those readings could be represented as a matrix as well, with the first set of readings in one column and the second in the other. Multiplying these matrices together means matching up rows from the first matrix—the one describing the equations—and columns from the second—the one representing the measurements—multiplying the corresponding terms, adding them all up, and entering the results in a new matrix. The numbers in the final matrix might, for instance, predict the trajectory of a low-pressure system.
Of course, reducing the complex dynamics of weather-system models to a system of linear equations is itself a difficult task. But that points to one of the reasons that matrices are so common in computer science: They allow computers to, in effect, do a lot of the computational heavy lifting in advance. Creating a matrix that yields useful computational results may be difficult, but performing matrix multiplication generally isn't.
One of the areas of computer science in which matrix multiplication is particularly useful is graphics, since a digital image is basically a matrix to begin with: The rows and columns of the matrix correspond to rows and columns of pixels, and the numerical entries correspond to the pixels' color values. Decoding digital video, for instance, requires matrix multiplication; earlier this year, MIT researchers were able to build one of the first chips to implement the new high-efficiency video-coding standard for ultrahigh-definition TVs, in part because of patterns they discerned in the matrices it employs.
In the same way that matrix multiplication can help process digital video, it can help process digital sound. A digital audio signal is basically a sequence of numbers, representing the variation over time of the air pressure of an acoustic audio signal. Many techniques for filtering or compressing digital audio signals, such as the Fourier transform, rely on matrix multiplication.
Another reason that matrices are so useful in computer science is that graphs are. In this context, a graph is a mathematical construct consisting of nodes, usually depicted as circles, and edges, usually depicted as lines between them. Network diagrams and family trees are familiar examples of graphs, but in computer science they're used to represent everything from operations performed during the execution of a computer program to the relationships characteristic of logistics problems.
Every graph can be represented as a matrix, however, where each column and each row represents a node, and the value at their intersection represents the strength of the connection between them (which might frequently be zero). Often, the most efficient way to analyze graphs is to convert them to matrices first, and the solutions to problems involving graphs are frequently solutions to systems of linear equations.
In the last decade, theoretical computer science has seen remarkable progress on the problem of solving graph Laplacians—the esoteric name for a calculation with hordes of familiar applications in scheduling, image processing, ...
The maximum-flow problem, or max flow, is one of the most basic problems in computer science: First solved during preparations for the Berlin airlift, it's a component of many logistical problems and a staple ...
It took only a few years for high-definition televisions to make the transition from high-priced novelty to ubiquitous commodity—and they now seem to be heading for obsolescence just as quickly. At the ...
(PhysOrg.com) -- A new analysis of number randomness in Sudoku matrices could lead to the development of more difficult and multi-dimensional Sudoku puzzles. In a recent study, mathematicians have found that |
Video tutorial & screenshots
Editorial review
This review applies to version 2.0.
The latest version of this software will soon be reviewed by our
informers.
Graphmatica is a small program designed for students and teachers of Mathematics. With it, you can graph your own equation just typing it over a text field and pressing enter.
Graphmatica is very easy-to-use and have a lot of interesting options. You can easily switch the graph paper (ex. to show polar coordinates instead of the standard x-y graph). Moreover you can change any graph color: the background, grids, and function line colors can be altered to easily match your needs.
Looking at the math features, after you draw a line over the graph you can easily (I mean 1-click) find derivatives for such equation. The same occurs with numerical integrations: just select the area and the program makes the rest.
Personally, I found this program very interesting. The only drawback is that you could use it just for 30 days, after that you have to pay for it. Another issue to mention is that you have no help at all when typing the equations. If you misspelled something, then you get just an error message. It will be crucial to read carefully the help file before to start using it seriously.
Pros
Very fast drawing.
Complete set of graphs.
Cons
The errors on equations are not very descriptive.
This software was checked for viruses
and was found to be clean.
Click here
to see antivirus report.
What's new in version 2.2 beta
Corrected domain specifications in one more demo file and a help page.
XP-style common controls are now loaded on 64-bit versions of Windows.
The installer is now digitally signed to verify that you have downloaded an authentic version of the program.
What's new in version 2.0
1. Fixed infinite loop parsing comma operator in domains and 2-variable functions when decimal separator is also set to ",".
2. Fixed crash graphing equations with free variables that have no on-screen solutions.
3. Added independently-settable font for bottom labels.
4. Graphs are now recalculated automatically upon changing the Theta Range.
5. The fraction characters ¼, ½, and ¾ are now accepted in place of normal decimals (before they could cause an infinite loop in the equation parser).
6. The custom increment for point table spacing now works for polar graphs as well as cartesian and parametric.
7. Switched from WinHelp to HTML help format, which is supported on Vista.
Publisher's description
raphmatica version 2.0 is designed especially for Windows 95/98/ME/2000/XP/Vista and Windows NT 3.51/4 |
Prealgebra and Introductory Algebra - 3rd edition
Summary: Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. Prealgebra& Introductory Algebra, Third Edition was written to help students effectively make the transition from arithmetic to algebra. The new edition offers new resources like the Student Organizer and now includes Student Resources in the back of the book to help students on their quest for3rd$9.18 +$3.99 s/h
Good
Penntext Downingtown, PA
Sorry, CD MISSING. May have minimal notes/highlighting, minimal wear/tear. Please contact us if you have any Questions.
$9.21Acceptable 3rd9.393913.78 +$3.99 s/h
Good
SellBackYourBook Aurora, IL
0321644905 Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc... All day low prices, buy from us sell to us we do it all!!
$19.62 |
mathematics program offers students the essential practice they need to demonstrate math proficiency. Organized by the key strands in math, these eight books help students develop a better understanding of math concepts, prepare for exams, and build skills that translate into greater confidence.Interest Level: 6-12Reading Level: 3-4 |
More About
This Textbook
Overview
MATH FOR THE AUTOMOTIVE TRADE, 5E is an up-to-date, highly practical book that helps readers develop a real-world understanding of math concepts and applications in the modern automotive repair trade. Written at a beginner's level, this book is a comprehensive instructional workbook that shows readers how to solve the types of math problems faced regularly by automotive technicians. Unique to MATH FOR THE AUTOMOTIVE TRADE, 5E are realistic practice exercises that allow readers to determine if their answers fall within manufacturers' specifications and repair orders that are completed by finding the appropriate information in the professional literature and reference material, included in the book's valuable appendices.
Editorial Reviews
From the Publisher
"It is one of the best books on this topic I have seen. With the few items I have recommended I feel it would make a great addition to our automotive program."Anthony Allegro, Lincoln Tech (Union New Jersey Campus)
Related Subjects
Meet the AuthorWilliam J. de Kryger is a retired Professor of Automotive Technology in the Department of Engineering and Technology at Central Michigan University. He has been a certified ASE Master Technician for over thirty five years and is a member of the Society of Automotive Engineers. During his career as a professional technician, he was employed by both automotive dealerships and independent garages in Michigan, California, and Hawaii. Other professional services have included: expert witness for automotive cases, automotive arbitration for the National Center for Dispute Settlement, annual study abroad leader to Vladimir State University, Vladimir, Russia, and annual Visiting Professor of Automotive Technology to Instituta Technologico Y de Superiores de Monterrey, Campus Toluca, Mexico. William J. de Kryger holds an Associate's Degree in Automotive Services and a Bachelor of Science in Technical Education from Ferris State University, and a Master of Arts in Higher Education from Central |
Abstract
Concepts are ideas that can be used to categorize or classify objects, whether a particular objects is an example of the concepts or not. At the simplest level we often observe objects with their characteristic. Based on the observation that the similarities can be seen from the object, so we can classify these objects.
Concept math learning can be done by using a deductive approach begins by giving definitions, axioms, and the theorems followed by giving examples. This example can be given by the teacher or found by students. Deductive approach in teaching mathematics is commonly practiced. Learning by using deductive approach have to do fastly so it caan be more efficient. If a math lesson conducted with formal approach, but its implementation is deviate from the formal system, so it use informal approach. In this approach, theorem or formulas of mathematics is given. Then used to solve the problem without degrading or prove prior learning with informal approach can be used to train the students to discover and prove the characteristic or formula. |
Instructor Class Description
Algebra
Similar to the first three terms of high school algebra. Assumes no previous experience in algebra. Open only to students admitted with an entrance deficiency in mathematics.
Class description
The emphasis of the course is to learn and improve the algebraic skills necessary to go on taking more math courses. The course covers fractions, exponents, radicals, factorization, linear functions, and an introduction to quadratic functions.
A typically class will consist of interactive lectures with use of examples from the textbook and small group work, usually involving worksheets. Regular attendance and participation is highly recommended and will be included in calculation of the final grade!
Recommended preparation
Recommended preparation is the placement test and the desire to learn.
Online textbook: College Algebra 4/e (4th Edition) by Judith Beecher, Judith Penna, and Marvin Bittinger. Students can purchase an online (eTextbook) version of the textbook from Pearson. However, if students prefer, they may purchase a hard-copy of the textbook instead of the online version at the UW Bookstore or at
Class assignments and grading
There will be 10 in-class worksheets, 4 quizzes, 3 exams and one comprehensive final exam.
The course is not graded on a curve. Following is a rough grading scale: > 90% 3.5-4.0, 80-89% 2.5-3.4, 70-79% 1.5-2.4, 60-69% 0.7-1.4, < 60% 0.0
Grades will be determined using the following weighting: in-class worksheets (16%), quizzes (24%), 3 exams (40%), and comprehensive final exam (20 P. Benitez
Date: 10/30/2013
Office of the Registrar
For problems and questions about this web page contact icd@u.washington.edu,
otherwise contact the instructor or department directly.
Modified:April 17, 2014 |
Algebra 2 - 03 edition
Summary: Applications with "Real" Data Since the graphics calculator is recommended, students experience excitement as they use "real" data in Algebra 2. Students investigate and extend relevant applications through engaging activities, examples, and exercises. Graphics Calculator Technology In Algebra 2, the graphics calculator is an integral tool for presenting, understanding, and reinforcing concepts. To assist student...show mores in using this tool, a detailed keystroke guide is provided for each example and activity at the end of each chapter. Functional Approach Algebra 2 examines functions through multiple representations, such as graphs, tables, and symbolic notation. Working with transformations (investigating how functions are related to each other and their parent functions) prepares students for advanced courses in mathematics by developing an extensive, workable knowledge of functions. ...show less
0030660548 WE HAVE NUMEROUS COPIES -HARDCOVER light to moderate wear to cover/edges/corners, generally clean inside, student names and school markings on book and inside, minimal writing/highlightin...show moreg with no detracting writing inside book, strong, solid binding ...show less
$34.45 +$3.99 s/h
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Books Revisited Chatham, NJ
Very good.
$35.49 +$3.99 s/h
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Books Revisited Chatham, NJ
As new.
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Nivea Books Lynnwood, WA
Hardcover Fine 0030660548 Like New copy, without any marks or highlights. Has shelf wear on covers. This is Student US Edition. Same day shipping with free tracking number. Expedited shipping avail...show moreable. A+ Customer Service! ...show less
$53.05 +$3.99 s/h
VeryGood
Follett School Solutions, Inc. Woodridge, IL
0030660548 No excessive markings and minimal highlighting. CD Roms, access cards/codes, and other supplemental materials may or may not be included based on availability.
$120.96 |
Algebra In Plain and Simple English: Math for the Absolute Beginner [NOOK Book] ...
More About
This Book expressions, operations, equations and function. It goes slow and along the way gives you dozens of exercises to practice.
This book takes some of algebra's most complex equations, and puts them in a language anyone can understand.
The "Plain and Simple English" series is part of BookCaps™ growing library of book and history recaps June 28, 2013
D
Ahhhhhhh
Dont buy ....im very afraid of math now :(
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Anonymous
Posted April 30, 2013
Kalie to Jason
What just happened?
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Anonymous
Posted March 5, 2013
Jason
TEST
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Anonymous
Posted March 4, 2013
Emma
Thx
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Anonymous
Posted February 21, 2013
Poorly published. This is not a clear explanation of algebra. Don't waste your money.
Exponents are not in superscript making it very difficult to follow. The electronic format does not lend itself to displaying the symbols properly. Also, basic information like "pemdas" is incorrectly shown. This needs serious editing.
Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged. |
Precalculus with Trigonometry and Analytical Geometry
Description
Students begin with a review of basic trigonometry then progress to advanced topics including functions, identities, and trigonometric equations. Analytical geometry topics include a logical approach to the study of lines, conics, quadric surfaces, polar coordinates, and parametric equations. Colorful graphs in one, two, and three dimensions illustrate the concepts and provide a frame of reference for discussion, while helpful tips and example problems show step-by-step solution to help students understand how to solve problems. Designed to be used in grade 12 and is 336 pages |
Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the... (read more)
(back cover) Really. This won't hurt at all . . . The thought of having to learn pre-algebra once turned brave students into cowards . . . but no more! THE PAIN VANISHES WHEN YOU TRANSFORM PRE-ALGEBRA INTO FUN-- Learn how to solve fun number puzzles by... (read more)
Designed specifically for the non-math major who will be using calculus in business, economics, or life and social science courses, Brief Calculus: An Applied Approach, 7/e, addresses students' weak math skills through added structure and guidance on how... (read more)
Algebras of operators arise frequently in the study of representations of Lie groups, both finite-dimensional and infinite-dimensional. This book begins with extensive background material that covers definitions and terminology, operators in Hilbert... (read more)
Not long ago, conducting child assessment was as simple as stating that the child gets along with others or the child lags behind his peers. Today's pediatric psychologists and allied professionals, by contrast, know the critical importance of |
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