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The ToKToL online adaptive learning platform contains a large (2000) set of maths questions and associated explanatory texts. Questions are selected to adjust to the ability of the student so that whe... More: lessons, discussions, ratings, reviews,...
A Java applet that introduces a couple of functions that are defined in terms of a definite integral, with actions to try using the applet. Includes a re-scalable presentation version with large fonts... More: lessons, discussions, ratings, reviews,...
In this activity, students will look at the graph of a function g(x), defined to be the integral of a function f(x), with the goal of understanding Part 1 of the Fundamental Theorem of Calculus. Speci |
This book is by far one of the leading texts in geometry. It contains interesting historical facts as well as an outstanding approach to proofs in an axiomatic system. I would recommend this book to anyone who is interested in pursuing a rigorous endeavor into geometry.
14 of 18 people found the following review helpful
4.0 out of 5 starsGreat for Geometry High Schools TeachersJuly 15 2008
By Carlos A. Rodriguez - Published on Amazon.com
Format:Paperback|Verified Purchase
This is a book for a person who wants to know the real proofs of the things they are teaching in high school geometry. You could teach yourself many of these proofs and it also offers great references which one could find in case of any confusion.
2 of 2 people found the following review helpful
5.0 out of 5 starsModern Geometry courseSept. 11 2013
By Derek - Published on Amazon.com
Format:Paperback|Verified Purchase
Everything is fine with this book, although it would be better if it was hard cover. But everything is explained in a (usually) understandable manner. There are a few tricky ones, but Venema covers everything well.
3.0 out of 5 starsThe seller that provided this book did a great job. It was in great condition and arrived ...July 26 2014
By Debi - Published on Amazon.com
Format:Paperback|Verified Purchase
Hey, its geometry. This was a required text for a class. It was a little hard to follow for a novice because it assumes you know a lot about other forms of math. In particular it uses a lot of symbols used in set notation, so if you are reading the text to learn specific postulates and theorems you may have to look somewhere else for the definition of the symbols. They do not have the definitions anywhere in the text. They also utilize some algebra without explanation. The seller that provided this book did a great job. It was in great condition and arrived in the time frame promised.
5.0 out of 5 starsI really enjoyed the exploration of triangles and circlesJuly 29 2014
By Kat14 - Published on Amazon.com
Format:Paperback
I used the first edition of this book in my Senior level geometry class. It was a very enjoyable book for me. There was a lot of commentary about the history of the subject and concepts pertaining to geometry before it got into the theorem proof section. I really enjoyed the exploration of triangles and circles. |
MATH BOOKS USED IN ALAN'S CLASS
I am now a HiSET teacher in Massachusetts. HiSET has
replaced the GED test in ten states. The books listed below
are still very appropriate for HiSET preparation classes. This
page has not been updated because new HiSET books are now starting
to come into the market and have not as yet been evaluated.
Stayed tuned for more information.
There are many GED books on the market. The two listed here
are my favorites for students working on the GED level. The
primary mathematics textbook I use is the Steck-Vaughn GED math book.
This publisher has close contact with the American Council on
Education (GED Testing Service). I am very comfortable using
this book with my class. The students who complete all the
chapters in this book invariably do well on the GED test.
The second text book I use is the Contemporary GED Mathematics books.
I especially like the second and fifth chapters. The second
chapter offers practice with word problems and the fifth chapter
helps students use proportions as a tool for solving word problems.
The geometry and algebra chapters are also very helpful.
I use Contemporary's Number Power Book 6: Word Problems as a
supplement for those
students who have difficulty understanding the word problems found in the
regular textbooks listed above. Of all the skills needed to pass the GED, the ability
to solve word problems is the most important. |
Weber's three-volume set on algebra was for many years the standard text on algebra. Published at the end of the nineteenth century, it helped usher group theory to a central place in twentieth century mathematics.
Although notations have changed somewhat and algebra has become more abstract that it was in Weber's day, many of the same themes and ideas important today are central topics in Weber's book, which may be why it has become a classic. |
This site contains lots of helpful hints about how to easily type different mathematical expressions in e-mail messages (or...
see more
This site contains lots of helpful hints about how to easily type different mathematical expressions in e-mail messages (or in online discussion forums). This might be particularly helpful for online instructors who want students to talk about problems and share their work with others within the online environment.
The Beamer package is a LaTeX class for creating presentations that are held using a projector, but it can also be used to...
see more
The Beamer package is a LaTeX class for creating presentations that are held using a projector, but it can also be used to create transparency slides. The Beamer is perfect for creating a presentation with a large amount of mathematical formulas. It is freely available for download.
This site provides about 35 graphical applets on topics relative to Algebra, Precalculus, Calculus, and Statistics. These...
see more
This site provides about 35 graphical applets on topics relative to Algebra, Precalculus, Calculus, and Statistics. These are designed for classroom demonstrations of various mathematical/statistical concepts.
From the popular Annenberg/CPB Channel workshop "Private Universe Project in Mathematics," this Shockwave simulation provides...
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From the popular Annenberg/CPB Channel workshop "Private Universe Project in Mathematics," this Shockwave simulation provides a hands-on way to introduce combinatorics through inquiry: You have two colors of cubes available with which to build towers. Your homework task is to make as many different looking towers as is possible, each exactly four cubes high. A tower always points up, with the little knob on top. Find a way to convince yourself and others that you have found all possible towers four cubes high and that you have no duplicates. |
As the student moves through the chosen curriculum, it is important, as with algebra, that the student do well in all early material as the concepts build and the load of new knowledge continues to grow. The close relationship between algebra and geometry becomes |
So far we have discussed equations of various kinds. vow we shall consider someinequalities; not of the social kind, but between real nuhbers. A mathematical inequality is amathematical expression of the condition that of two quantities one is greater than, greaterthan or equal to, less than or less than or equal to the other. An inequality that holds for everyreal number is called an absolute inequality. In this unit we shall restrict ourselves to suchinequalities.We will discuss six famous absolute inequalities. We have divided them into two sections-those that have been used for centuries and those that were discovered by some famousnineteenth century European mathematicians. These inequalities have several applicationsalso. We will discuss a few of them. You may come across some applications in other coursestoo, at which time we hope that you will find that you didn't study this unit in vain!Let us list
our
unit objectives now.
Objectives
After reading this unit you should be able to prove and applythe inequalities of the means;the triangle inequality;the Cauchy-Schwan. (Bunyakovskii) nequality:Weierstrass' inequalities:Tchebychev's inequalities.Let us discuss the ineqyalities one by one.
3.2
INEQUALITIES KNOWN TO THE ANCIENTS
In this section we shall discuss two inequalities handed down to us by ancientmathematicians. But first we will give a list of some properties of inequalities you must befmiliar with. They are the following:for
a,
b, c, d
E
R
i)
aZb,cZO*acZbc
ii)
a2be-as-b
11
iii)
a2b~-5-provideda;tO,bzO.
abiv) a2b,c2d*a+c>b+dv) an>-bn,a2O*a2b,wherene
N.
We will often use these properties implicitly while proving the inequalities mentioned in theunit objectives.Now let us discuss the inequality that relates three averages.
i
3.2.1
Inequality
of
the Means
An important part of arithmetic that can be traced back to the Babylonians and Pythagoreans(approximately 6th century B.C.) is the theory of means or averages. The word "average"comes from the Latin word "havaria", which was theinsurance paid to compensate for damageto goods
in
transit in the olden days. All of us are familiar with compensate for damage togoods in transit
in
the olden days. All of us are familiar with the term "average". In fact, all ofus must have often calculated fie average of a fmite set of numbers by addhg them up anddividing the sum by the total number of these numbers. But this is only one
of
Inany types ofaverages. We will discuss three of these types here. Let us start with the "usual" average.
Definition:
the
arithmetic mean
(AM)
ofn real numbers x,, x2,
...,
X,
is
XI
+
X2
+
...
+
X"
-
,
hat is
n
[A
=~
i]
.
11
1
-1
A--
+o
1
For example, the AM of
-
-
nd 0 is
2-
-
33
18
'
The AM is often used in statistics for studying data.Another type of average is the geometric mean. This is the best mean to use if we want to findthe mean of any finite set of positive numbers that follow geometric progression. Thus, thismean is very useful for studyingpopulation'growth. Let us see how the geometric mean isdefmed.
Definition:
The
geometric mean
(GM)
of n positive real numbers
XI,
%,
......,
Xn
1sFor example, the GM of
3
and4 is
.=
fi
nd the
GM
of 2,4 and
8
is(2x4x8)lB=4.
.
Yet another kind of average of numbers is their harmonic mean, which we now define.
Definition:
The
harmonic mean
0
f n non-zero real numbers
lnequnlities
Eauations and Incaualiticr
1For example, the
HM
f
-2,
-
and
7
is
3
-
42
-
-
3
1 1
37
'
---+7+-
The HM is the most appropriate type of average to use when we want to find the average rateof a set of varying rates. Thus, it is the best average to use for obtaining the average velocityof
a
vehicle covering various distances at different speeds..At this point we would like to make a remark.
Note:
We can obtain the AM of
any
n real numbers. But, we only define the GM of n
positive
This
proof
is
due
to
Cauchy]
real numbers; and the
HM
f n
non-zero
real numbers.
who you
will
meet
again
in
See.
6.3.
Now let us look at the three different means together. To do so, we clearly need to restrictourselves to positive real numbers. What is the AM of 2,4 and
8?
How is it related to theirGM? And, how is their GM related to their HM? The following result answers these questions.
Theorem
1:
Let
{x,,
xz,
...,
x,
)
be any finite set of positive real numbers, and let A, G and Hdenote their arithmetic, geometric and harmonic means, respectively. ThenWe will only give a broad outline of the proof here. The inequality A
2
G is first proved byinduction (see Unit 2) for all those integers n that are powers of |
Math software helps students learn algebra
Nearly instantaneous feedback is helping students better understand how to solve algebra problems, according to this article describing MyMathLab software. "[The software] gives examples and helps you step-by-step all the way through," said college algebra student Laiken Swilley. |
Calculus Course Assistant
Description
Taking calculus? Then you need the Wolfram Calculus Course Assistant. This definitive app for calculus--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn calculus concepts. Forget canned examples! The Wolfram Calculus Course Assistant solves your specific Calculus problems on the fly including step-by-step guidance for derivatives, integrals, and much more. This app covers the following topics applicable to Calculus, AP Calculus AB, AP Calculus BC, Calculus I, and Calculus II:
- Evaluate any numeric expression or substitute a value for a variable.
- Plot basic, parametric, or polar plots of the function(s) of your choice.
- Determine the limit of a function as it approaches a specific value.
- Differentiate any function or implicit function.
- Find the critical points and inflection points of a function.
- Identify the local and absolute extrema of a function.
- Integrate a function, with or without limits.
- Sum a function given a lower and upper bound.
- Find the closed form of a sequence or generate terms for a specific sequence.
The Wolfram Calculus Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.
The Wolfram Calculus Course Assistant draws on the computational power of Wolfram|Alpha's supercomputers over a 2G, 3G, 4G, or Wi-Fi connection |
UltimaCalc 2.1.255
Description of UltimaCalc 2.1.255: UltimaCalc is a scientific and mathematical calculator designed to occupy minimum screen area, making it immediately available for use. UltimaCalc can stay on top of other windows. Type a calculation as plain text, evaluate it, maybe edit it and re-calculate. Has a comprehensive context-sensitive help system.
CalculatesFunctions available include logarithms to base 2, exp, two-argument inverse tangent; cube root (even of negative numbers); factorials, combinations, permutations, powers, modulus, GCD. Also floor and ceiling functions, absolute value, min, max, extract the fractional part of a number. Calculate the slope of a line given its end points. Even calculate definite integrals.
Define your own functions and constants, saved as a plain text file.
Find the date of Easter. Calculate future or past dates. Julian day numbers.
Calculate the mean, median and standard deviation of a sample and its population.
Create bar, line, pie charts. Add title, subtitle, labels. Adjust the layout, choose colours and hatching, save as an image.
Regression: Plot a scatter chart and regression line. Fit a polynomial to data. Analyse the effects of multiple variables on data. Absolute deviation fit minimises the effects of outlying values.
Plot functions: Specify starting and ending conditions and how variables change. Choose axis locations. Combine multiple plots. Save as an image.
Solve triangles: Given one side and two other facts, calculate the unknowns. View the result graphically.
Solve Simultaneous Linear Equations, and do Navigational calculations.
Log calculations to a text file, or copy and paste into other programs. Save specialised calculations with notes in data files.
Software downloads related to UltimaCalc
UltimaCalc Professional
UltimaCalc is a collection of mathematical tools wrapped up in one program, for use by scientists, engineers and students. The main window is a calculator that accepts mathematical expressions as plain text and evaluates them to 38 digit precision.
more infodownload
MOS-OXP Practice Exam Test Questions
Pass-Guaranteed is the leader in IT Certifications that will Guarantee you will pass your MOS-OXP exam on Your FirstTry. Pass-Guaranteed offers MOS-OXP practice exam questions. You will pass your MOS-OXP exam using Pass-Guaranteed. Or Your Money Back
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...As an additional resource I also possess an Algebra II "Teacher's Edition" text. Word problems are a particular challenge for a number of students for whom the following steps must first be modeled: 1) drawing an appropriate diagram, if required, 2) establishing the correct algebraic representa...
...Unfortunately I was not born with tremendous height or speed, so, rather than relying on natural athleticism, I had to learn the game and work hard. I had to teach myself the proper way to move around the court, shoot, and play defense in order to become a skilled player. During my time as a co |
let quadratic equations make you irrational
If you are absolutely confused by absolute value equations, or you think parabolas are short moral stories, College Algebra DeMYSTiFied, Second Edition is your solution to mastering the topic's concepts and theories at your own pace. This thoroughly revised and updated guide eases you into the subject, beginning with the math fundamentals then introducing you to this advanced form of algebra. As you progress, you will learn how to simplify rational expressions, divide complex numbers, and solve quadratic equations. You will understand the difference between odd and even functions and no longer be confused by the multiplicity of zeros. Detailed examples make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce key ideas.
It's a no-brainer! You'll learn about:
The x-y coordinate plane
Lines and intercepts
The FOIL method
Functions
Nonlinear equations
Graphs of functions
Exponents and logarithms
Simple enough for a beginner, but challenging enough for an advanced student, College Algebra DeMYSTiFieD, Second Edition is your shortcut to a working knowledge of this engaging subject. |
Professor B Power Algebra Level 1 Activating the Contextual Learner
Professor B methodology carefully nurtures children's perception of connection and flow in arithmetic so they experience enjoyment and mastery of math content. To nurture learners' perception of connection and flow, Professor B Algebra integrates Pre-algebra, Algebra I and Algebra II into a single, ungraded curriculum. Each concept is covered thoroughly, with clarity.
The objective of the three Professor B Algebra books is to make it possible for the vast majority of teachers and parents to competently (and rather comfortably) insure their learners' total mastery of elementary and intermediate algebra. You mothers and fathers who never dared to consider it possible to comfortably teach your children algebra, will now be most pleasantly surprised with your ability to mathematically empower them! These textbooks have been carefully written so that the vast majority of adults, regardless of their math backgrounds, can read them and derive all the algebraic meanings we intend. We make the connections crystal clear. Each textbook contains the answers.
Three books cover highschool algebra and can usually be completed in 2 - 3 years, even by children as young as 9 who have completed Prof. B Level 3.
The textbooks can be used as a textbook and student writes answers in a notebook, or can be used as a consumable workbook. (Paperback, 400+ pages each)
Table of Contents Power Algebra Book I
Introducing Integers, Adding Integers and Three Methods for Subtracting Integers
Simplifying Expressions Involving Sums and Differences of Integers and Combining
Like Terms
Multiplying and Dividing with Integers
Multiplying and Dividing with Powers
The Positive, Negative and Zero Exponents
Multiplication/Division with Monomials and Expressions Involving Negative and
Zero Exponents
Evaluation of Algebraic Expressions and Order of Operations
Adding and Subtracting with Polynomials
Multiplying with Polynomials and Factoring by Removing the Highest Common Factor
Multiplying with Polynomials and Factoring Trinomials of the Form ax² + bx + c and ax² + bxy + cy²
Multiplying with Polynomials and Factoring the Difference of Two Squares
Multiplying with Polynomials and Factoring the Sum and Difference of Two Cubes |
What can I do with mathematics?
Related Courses
Bending It Like Bernoulli1
The colored "strings" you see represent air flow around the soccer ball, with the
dark blue streams behind the ball signifying a low-pressure wake. Computational
fluid dynamics and wind tunnel experiments have shown that there is a transition
point between smooth and turbulent flow at around 30 mph, which can
dramatically change the path of a kick approaching the net as its speed decreases
through the transition point. Players taking free-kicks need not be mathematicians
to score, but knowing the results obtained from mathematical facts can help
players devise better strategies.
The behavior of a ball depends on its surface design as well as on how it's kicked.
Topology, algebra, and geometry are all important to determine suitable shapes,
and modeling helps determine desirable ones. The researchers studying soccer ball
trajectories incorporate into their mathematical models not only the pattern of
a new ball, but also details right down to the seams. Recently there was a radical
change from the long-used pentagon-hexagon pattern to the adidas +TeamgeistTM.
Yet the overall framework for the design process remains the same: to
approximate a sphere, within less than two percent, using two-dimensional panels.
1 Daniel Bernoulli (BurrNOOlee) was a Swiss mathematician who did pioneering
work in fluid flow.
New: Edgewood College Undergraduate Math Journal
For submission guidelines and other information, please contact Steven Post.
WHAT CAN I DO WITH A MATHEMATICS MAJOR?
While the main motivation to choose math as a major should stem from a combination of keen interest and high ability in math, students are naturally concerned about the opportunities available to a mathematics major or a mathematics teaching major after graduation. At this time, the math major appears to be in a better position than many other majors for employment in business, industry, government agencies, and teaching. The prospects are also good for well-qualified students to obtain support for graduate studies in either mathematics or mathematics education. Also a major in mathematics is excellent preparation for further study in many other fields.
In order to help you clarify your thoughts on what you want to get out of your collegiate experience as a math major, here are some questions to ask yourself:
Why do I like mathematics? What is it about math that attracts me to majoring in mathematics?
What type of mathematics do I like? Do I like the computational aspect? The rigor and logic? The problem solving experience? The theoretical aspect? Which content areas interest me?
What do I want to do for a career? Do I want to teach, or do I want pursue other avenues? If you want to teach, then:
what age group(s) do you want to teach? PreK, 1-6, 6-9, 9-12, college?
do you want to teach just mathematics, or do you want to have the flexibility to teach other fields as well?
If you are not interested in a career in teaching, then: are you interested in a career in business, industry, government, nonprofits, other alternatives?
How much education do I want to complete? Bachelors, Masters, or Ph.D.? Do I want to enter the work force right after graduation with the option to pursue graduate work later?
What do I need to do in order to further my career prospects?
What should I be doing academically to further my goals? Should I pick up a minor in another area? Should I try to double major?
What extracurriculars should I become involved in to further my goals? For example, should I get involved with the math club? Should I participate in the MCM Modeling Competition?
What types of work experience should I try to get to further my goals? Should I consider volunteer work experiences such as tutoring? Should I consider internships?
What organizations should I become involved in? What conferences or meetings might it be helpful to attend? |
MATH 502 Explorations in Algebra
An examination of basic and advanced algebra concepts for teachers of mathematics. The course includes an introduction to the number theory and modern algebra topics that underlie the arithmetic and algebra taught in school. The focus is on collaborative learning, communication, and the appropriate use of technology, as well as on a deep understanding of algebraic theory |
THINKING MATHEMATICALLY - 2nd edition
Summary: Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practic...show moreal, it involves the reader in questions so that subsequent discussions speak to immediate experience51 |
Algebra and Trigonometry - 3rd edition
Summary: These authors have created a book to really help students visualize mathematics for better comprehension. By creating algebraic visual side-by-sides to solve various problems in the examples, the authors show students the relationship of the algebraic solution with the visual, often graphical, solution. In addition, the authors have added a variety of new tools to help students better use the book for maximum effectiveness to not only pass the course, but truly understa...show morend the material.
Features
Functions Early and Integrated: Functions are introduced right away in Chapter 1 to get students interested in a new topic. Equations and expressions are reviewed in the second chapter showing their connection to functions. This approach engages students from the start and gives them a taste of what they will learn in this course, instead of starting out with a review of concepts learned in previous courses.
Algebraic Visual Side-by-Sides: Examples are worked out both algebraically and visually to increase student understanding of the concepts. Additionally, seeing these solutions side-by-side helps students make the connection between algebraic manipulation and the graphical interpretation.
Zeros, Solutions, and x-Intercepts Theme: This theme allows students to reach a new level of mathematical comprehension through connecting the concepts of the real zeros of the function, the solutions of the associated equation, and the x-coordinates of the x-intercept of the graph of the function.
Technology Connection: In each chapter, optional Technology Connections guide students in the use of the graphing calculator as another way to check problems.
Review Icon: These notes reference an earlier, related section where a student can go to review a concept being used in the current section.
Study Tips: These occasional, brief reminders appear in the margin and promote effective study habits such as good note taking and exam preparation.
Connecting the Concepts: Comprehension is streamlined and retention is maximized when the student views a concept in a visual form, rather than a paragraph. Combining design and art, this feature highlights the importance of connecting concepts. Its visual aspect invites the student to stop and check that he or she has understood how the concepts within a section or several sections work together.
Visualizing the Graph: This feature asks students to match an equation with its graph. This focus on visualization and conceptual understanding appears in every chapter to help students see ''the big picture.''
Vocabulary Review: Appearing once per chapter in the Skill Maintenance portion of an exercise set, this feature checks and reviews students' understanding of the language of mathematics.
Classify the Function: With a focus on conceptual understanding, students are asked to identify a number of functions by their type (i. e., linear, quadratic, rational, and so forth). As students progress through the text, the variety of functions they know increases and these exercises become more challenging. These exercises appear with the review exercises in the Skill Maintenance portion of an exercise setWith CD! A good reading copy in clean condition. All pages are intact, and the cover is intact (including dust cover, if available). The spine may show signs of wear. Pages can include limited notes a...show morend highlighting, and the copy can include "From the library of" |
Internet Edition
Katta G. Murty Dept. of Industrial and Operations Engineering
The University of Michigan, Ann Arbor
Overview
This is a sophomore level webbook on linear algebra and n-dimensional geometry with the aim of developing in college entering undergraduates skills in algorithms, computational methods, and mathematical modeling. It is written in a simple style with lots of examples so that students can read most of it on their own. Please see Chapter 0 for the table of contents of the whole book, preface explaining the philosophy of the book and what sets this book apart from other books on linear algebra, and glossary.
Users are encouraged to read most of the book on the computer screen, and print only those portions that they need to look up several times on paper.
Contributions are requested from every user to cover costs, as explained in the preface in Chapter 0.
Many more exercises will be added in each chapter in due course, and weblinks will be installed in the file of each chapter for the user's convenience. |
Mathematical Induction
- Explains the process of making and proving conjectures about the behavior of equations that a repetitive trait, such as summation formulas. Includes the rules for a valid induction and some examples.
Miss Lindquist: The Online Algebra Tutor for Word Problems
- An intelligent tutoring system funded through a grant from the National Science Foundation to build software that is more like human tutors. This program will tutor students presenting them with progressively harder problems and will help me when needed.
Understanding Algebra by James Brennan
- Covers the order of operations, working with plus and negative signs, solving for unknowns, straight line and polynomial functions, cartesian coordinates and simultaneous equations. Includes topical navigation, illustrations and charts.
WebMath
- A set of tutorials on various topics in introductory mathematics, as well as free software. |
Calculus is one of the most dreadful things a high school student can face. Calculus makes or breaks physics and maths. It can even be essential in physical chemistry. So , how to ace it?
Ad
Steps
1
Know the formula down cold. You don't want to forget the derivative of log after solving 10 steps to get it.
Ad
2
Before you try to tackle real calculus, make sure you're a whiz at functions. This means a thorough theoretical knowledge of graphs and functions.
3
Try watching a few videos to properly understand differentiation and integration through graphs.
4
Study calculus step by step, using a real book on calculus. Don't try to find something like "calculus for dummies". Pick up the most scary book you can find at your level.
5
Tackle as many types of questions as you can, even if you are a genius student of calculus. You will not be able to solve some problems in an exam, you need to have done them beforehand. Variety is essential in calculus.
6
Start solving simple problems through calculus. (This will make the problems tougher, but calculus easier.) You have a calculus way to solve most of the graph problems e.g. finding the minimum value of a function, or trying to locate the roots of a quadratic equations.
7
Most important of all practice! If you practice differentiation and integration, you will speed up. Results will be stored in your subconscious mind. You won't have to find derivative of sin2x using chain rule.
Warnings
Be extra careful when applying L' Hospital's rule on theoretical exercises. You have to be sure that all functions can be differentiated. You might still get the correct answer, but the exercise will be wrong.
Recheck your answers. Calculation errors are common, and deadly.
L' Hospital's rule can only be used on 0/0 and ±∞/±∞ limits. If the limit is +∞-∞, 0*∞, ∞*0, 1∞, 00, ∞0 or in any other form, L' Hospital's rule cannot be used.
Do not forget c when solving indefinite integrals.
Do not try to solve limits by L. Hospital's rule while learning. Instead, try to learn solving the traditional way. L' Hospital's rule is very convenient, but it won't help you in every problem. Some questions are easy to solve by expansion or formula methods |
Roadmap to 8th Grade Math Description
If Students Need to Know It, It's in This Book This book develops the Math skills of eighth graders. It builds skills that will help them succeed in school and on the New York State test. Why The Princeton Review? We have more than 20 years of experience helping students master the skills needed to excel on standardized tests. Each year, we help more than 2 million students score higher and earn better grades. We Know the New York State Testing Program Our experts at The Princeton Review have analyzed the New York State test, and this book provides the most up-to-date, thoroughly researched practice possible for the Grade 8 Mathematics test. We break down the test into individual skills to familiarize students with the test's structure, while increasing their overall skill level. We Get Results We know what it takes to succeed in the classroom and on tests. This book includes strategies that are proven to improve student performance. We provide - content review, detailed lessons, and practice exercises modeled on the skills tested by the New York State Grade 8 Mathematics test - engaging puzzles and word problems - 2 complete practice New York State Math tests
Discussion : Roadmap to 8th Grade Math |
Bacliff StatisticsFinite math is often taught as mathematical models with applications. In this course, students use algebraic, graphical, and geometric reasoning to recognize patterns and structure, to model information, and to solve problems from various disciplines. The course typically provides a survey of mathematical techniques used in the working world. |
GREAT SHAPE! Hardcover without dust jacket, as issued by publisher. No missing / torn pages, highlighting, notes, or other markings is kept alive by the appearance of new, unsolved problems. This book provides a steady supply of easily understood, if not easily solved, problems that can be considered in varying depths by mathematicians at all levels of mathematical maturity. This new edition features lists of references to OEIS, Neal Sloane's Online Encyclopedia of Integer Sequences, at the end of several of the sections.
Editorial Reviews
Review
From the reviews of the third edition:
"This is the third edition of Richard Guy's well-known problem book on number theory … . The earlier editions have served well in providing beginners as well as seasoned researchers in number theory with a good supply of problems. … many of the problems from earlier editions have been expanded with more up-to-date comments and remarks. … There is little doubt that a new generation of talented young mathematicians will make very good use of this book … ." (P. Shiu, The Mathematical Gazette, Vol. 89 (516), 2005)
"The earlier editions of this book are among the most-opened books on the shelves of many practicing number theorists. The descriptions of state-of-the-art results on every topic and the extensive bibliographies in each section provide valuable ports of entry to the vast literature. A new and promising addition to this third edition is the inclusion of frequent references to entries in the Online encyclopedia of integer sequences at the end of each topic." (Greg Martin, Mathematical Reviews, Issue 2005 h)
From the Back Cover
Mathematics is kept alive by the appearance of new unsolved problems, problems posed from within mathematics itself, and also from the increasing number of disciplines where mathematics is applied. This book provides a steady supply of easily understood, if not easily solved, problems which can be considered in varying depths by mathematicians at all levels of mathematical maturity.
For this new edition, the author has included new problems on symmetric and asymmetric primes, sums of higher powers, Diophantine m-tuples, and Conway's RATS and palindromes. The author has also included a useful new feature at the end of several of the sections: lists of references to OEIS, Neil Sloane's Online Encyclopedia of Integer Sequences.
About the First Edition:
"…many talented young mathematicians will write their first papers starting out from problems found in this book." |
Info for
Punch Line Algebra Book A 7 11
Classzone - algebra 1, Welcome to algebra 1. this course will make math come alive with its many intriguing examples of algebra in the world around you, from baseball to theater lighting to.
Algebra - wikipedia, the free encyclopedia, How to distinguish between different meanings of "algebra" for historical reasons, the word "algebra" has several related meanings in mathematics, as a single word or.
Solution: find the slope of the line that passes through, Question 252733: find the slope of the line that passes through the given points. ok are book a little messed up. we are learning about slopes in algebra andgeometry.
Phschool.com - prentice hall bridge page, Take a closer look at some of the leading instructional materials for secondary school classrooms..
Untitled document [ The punchline algebra set consists of two binders, each containing 192 pages. book a includes topics often taught in the first semester of an algebra 1 course, while.
Cpm educational program, Cpm educational program strives to make middle school and high school mathematics accessible to all students. it does so by collaborating with classroom teachers to.
Cpm educational program, Cpm educational program strives to make middle school and high school mathematics accessible to all students. it does so by collaborating with classroom teachers to.
Algebra homework help, algebra solvers, free math tutors, Pre-algebra, algebra i, algebra ii, geometry: homework help by free math tutors, solvers, lessons. each section has solvers (calculators), lessons, and a place where.
Abstract algebra: the basic graduate year, Abstract algebra: the basic graduate year (revised 11/02) click below to read/download chapters in pdf format. pdf files can be viewed with the free program adobe.
Pearson prentice hall - pearsoncmg.com, Please click on the title of a book in the list below to login or register..
Online student edition - glencoe, Teacher login / registration : teachers: if your school or district has purchased print student editions, register now to access the full online version of the book..
References:
From Around the Web:
ClassZone - Algebra 1
Welcome to Algebra 1. This course will make math come alive with its many intriguing examples of algebra in the world around you, from baseball to theater lighting to ... Last update Sat, 26 Jul 2014 16:38:00 GMT Read More
Algebra - Wikipedia, the free encyclopedia
How to distinguish between different meanings of "algebra" For historical reasons, the word "algebra" has several related meanings in mathematics, as a single word or ... Last update Mon, 28 Jul 2014 00:08:00 GMT Read More |
Alix B.'s Resources
Greetings, scholars!
Last semester, I took the initiative to refresh my knowledge of physics by taking Physics I for Physical Science Majors from the
University of Colorado Boulder via Coursera. Learning physics- even re-learning physics!- can be a formidable challenge. Making the connection between the real world and the symbols on the page isn't
always...
read more
Greetings, scholars!
Usually I reserve my blog for sharing tech tips and practical advice, but the upcoming holiday has me reflecting on how thankful I am for the wonderful teachers I have had over the years. There's Dr. Galvin, who taught me how to think about discrete mathematics,
helped me appreciate "vintage" math literature, and showed me the online encyclopedia of...
read more
Greetings, scholars!
Using flashcards is a tried-and-true method for rote memorization. As a student, I had stacks of index cards with terms on one side and definitions on the other. These cards proved the key to success in subjects like biology and psychology. Flashcards
also help in subjects like calculus and chemistry, although memorization is not...
read more
Not sure if this counts as a simple way to find the two terms, but you could solve a system of equations, i.e.
A+B = 99
A*B= -3870
Solve the system by substitution. I would prefer this method over trial and errorGreetings, scholars!
The first step to success in any endeavor is having the right tools. Keeping tools organized and handy is equally important, but the overwhelming amount of information in most classes causes even the most powerful tools to get lost in the cluttered garage
of facts, formulas, and applications.
What we need as mathematical scholars is a neat, uncluttered toolbox where...
read more |
Freund's text, which is based on a course that the author taught to university students fulfilling their general education requirement, is a clearly written and carefully constructed introduction to basic discrete probability. Each topic is placed in context and is illustrated by copious examples that demonstrate both the relevance and utility of probability. The exercises at the end of each section, which are generally straightforward applications of the material covered in that section, reinforce the reader's understanding of the material. Answers are provided to the odd-numbered exercises, making the text suitable for self-study. This text is a good entry point to the study of probability. However, the scope of the text is limited. The emphasis is on how to solve problems rather than the underlying theory. Freund succeeds in making the text as widely accessible as possible, albeit at the expense of a deeper understanding of the material.
The text begins with a chapter on enumerative combinatorics that covers tree diagrams, the Multiplication Principle, factorials, permutations, combinations, and indistinguishable objects. Freund then introduces the classical, frequentist, and subjective (Bayesian) approaches to probability. He contrasts the different approaches, demonstrates how each is applied, discusses their limitations, and shows that they lead to equivalent results. In the following chapter on the mathematical expectation of an event, Freund illustrates how probability is used in making business decisions. Next, Freund puts probability on a formal footing, discussing events, sample spaces, compound events, mutually exclusive events, and probability measures.Read more ›
I've never seen a probability book with such good examples. Most books on probability give you all of the equations, but they don't really tell you how to apply them to real situations. This book has nothing but real examples. It is the book on probability that I have been looking for
As an introduction to probability, this is an excellent book: easy to read, easy to follow, good contents, etc. The title does say introduction, so don't expect to emerge as the master of probability/statistics after reading this book.
This book is very good for those who have little knowledge in Probability but do manage some basic math concepts: polinomials, factorials, limits, etc. I bought it because I was looking for a mathematical course in Probability but this book is not for that, it is very simple. It is not a "definition-theorem-proof" book. |
Mathematics for Plumbers & Pipefitters
9780827370616
ISBN:
082737061X
Edition: 5 Pub Date: 1995 Publisher: Delmar Cengage Learning
Summary: This book reviews the basic mathematic fundamentals for plumbers and pipefitters including formulas / equations, length calculations, sheet metal work, volumes, pressures, capacities, heating and the builders level. Many examples, illustrations, tables and formulas are provided to on the job applications. This book is also an excellent reference to standard formulas and tables including fitting allowance, trigonometr...ic, conversion tables, powers and square root and mathematical constants for specific fittings. Methods essential to planning new construction projects as well as modifications to existing projects are described in detail. There is an entire section dedicated to review of basic fundamentals. Each unit includes review materials. ALSO AVAILABLE INSTRUCTOR SUPPLEMENTS CALL CUSTOMER SUPPORT TO ORDER Instructor's Guide, ISBN: 0-8273-7062-8
D'Arcangelo, Bartholomew is the author of Mathematics for Plumbers & Pipefitters, published 1995 under ISBN 9780827370616 and 082737061X. Sixteen Mathematics for Plumbers & Pipefitters textbooks are available for sale on ValoreBooks.com, eleven used from the cheapest price of $3.00, or buy new starting at $107 |
Elementary Linear Algebra
9780030973543
ISBN:
0030973546
Edition: 5 Pub Date: 1994 Publisher: Thomson Learning
Summary: Intended for the first course in linear algebra, this widely used text balances mathematical techniques and mathematical proofs. It presents theory in small steps and provides more examples and exercises involving computations than competing texts.
Grossman is the author of Elementary Linear Algebra, published 1994 under ISBN 9780030973543 and 0030973546. Four hundred twenty two Elementary Linear Algebra tex...tbooks are available for sale on ValoreBooks.com, one hundred forty used from the cheapest price of $33.24, or buy new starting at $118.00.[read more]
Intended for the first course in linear algebra, this widely used text balances mathematical techniques and mathematical proofs. It presents theory in small steps and provide [more]
Intended for the first course in linear algebra, this widely used text balances mathematical techniques and mathematical proofs. It presents theory in small steps and provides more examples and exercises involving computations than competing |
infinitesimal
calculusBranch of mathematics concerned with the calculation of instantaneous rates of change (differential calculus) and the summation of infinitely many small factors to determine some whole (integral calculus)....
mathematicsThe science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with logical reasoning and quantitative calculation,... |
I've been teaching math for 10 years and tutoring longer. Twice I've been awarded teacher of the year and I've been very involved in determining the accreditation of other high schools. I've seen a lot of algebra texts. This is the best text book from which I have ever taught. It gives excellent explanation for the student and the ancillary materials available to the teacher are great. It's a total winner. No complaints. I believe in this book so much that I just purchased a class set, with my own funds, for my son's private school. Mr D
This book is very easy to read and understand. I would guess that it is written at the fifth grade level.
It is obvious to me that the designers of this textbook employed a systems approach to (1) meticulously identify all of the knowledge and skills required in an Algebra 1 course; (2) translate these into learning objectives for the course; (3) systematically identify course prerequisites (the starting point for the course); (4) specify final course outcome (the end point for the course); (5) sequence and repeat training to optimize learning and retention; and (6) design evaluation measures to ensure that each student has met the course objectives. In addition to systematically developing math skills, the book also ensures mastery of associated vocabulary terms (Key Words), as well as skills in the use of graphs and calculators.
Algebra 1 is a very challenging course to teach. I think every school district in America requires Algebra 1 for graduation. There is a huge, huge diversity among the students taking this course. Some might take this course in the sixth grade, while others might take it in the tenth grade. Some students will start this course entirely prepared, while others students might not even know how to add, subtract, multiply, or divide. Some students might eventually go on to obtain advanced degrees in (math-heavy) science or engineering, while others might work at a trade, while still others will never use any part of this course (ever) in their lives. How can one teacher with one textbook hope to effectively teach such a diverse population? Well, this textbook goes a long way toward specifying the contents of such a course and providing step-wise instruction that will allow most students to meet the course's objectives.
Math experts often find it difficult (or impossible) to teach math to beginners, because they have forgotten all the little steps required to gain mastery of the subject matter. This textbook brilliantly breaks the subject matter down into to small "chunks" (small enough to grasp in a few minutes at a time) then optimally sequences and integrates those "chunks" for effective learning. All along the way, student mastery of prerequisite learning is reviewed, retested, and systematically integrated with new learning. The book identifies prerequisite learning for the course in the form of a Pre-Course Test at the front of the book and a Skills Review at the back of the book.
Although not the focus of the book, students are systematically exposed to the types of problems that one might find on a standardized test (identified by Standardized Test Practice in the right margin). I think this is extremely important for this target population. I like the way the textbook includes calculator operations, without abandoning the need to perform calculations by hand or in the head. Some school districts seem to have adopted the philosophy that all calculations must be performed with a calculator (a very bad philosophy). I like how this book guides students to make "approximate" calculations - this is an excellent technique to possibly identify an error in a calculated outcome. The book is very effective in getting students to think about problems visually, including the creation and use of graphs and problem diagrams. I like how it gets students used to the idea of creating graphs similar to those one can produce in a spreadsheet program. There is an excellent Glossary in the back of the book, as well as an English-to-Spanish Glossary.
The examples and problems in the book are very good. Examples and problems systematically build from simple, short problems that ensure basic skills have been acquired to more difficult problems that integrate prior learning and apply multiple skills. The application problems are pretty good - - - many of them do a good job of steering the math from the abstract to the concrete. However, I would like to see the textbook designers bring in more "real world" algebra problems from craft disciplines (such as used by carpenters, electricians, electronics technicians, mechanics, sheet metal workers, pipe fitters, riggers, etc.).
The textbook is one of the very best I have ever seen at presenting information in a way that maximizes attention, memory, and understanding (the presentation reminds me of InfoMapping®). Information is presented in small, organized batches - - - small enough that the average student can keep focused on the specific topic under discussion (most folks can only keep five to seven objects in mind at any one time). Such a batch is clearly delimited (grouped under a colored header or inside of an example box or with a right-margin annotation), and never splits across a page. I appreciate how the book frequently and systematically reminds students of previous training via Study Tips, Skills Review, Mixed Review, and Maintaining Skills segments. The book has very smartly included Checkpoint problems that the student should complete prior to moving on to the next topic.
Although this textbook stands alone quite nicely, there are (naturally) many additional, supporting resources available for sale from the publisher (McDougalLittel, or search for Holt McDougal math algebra geometry).
The book includes (in the back) answers to only selected problems. I wish this book provided the answers to all of the problems, or (as is done customarily) all of the odd numbered problems. There is a Worked-Out Solution Key for this book (listed on the publisher's website); I do not have this book, so I do not know whether or not it provides answers to all of the questions in the book.Read more ›
The complete process was good, book arrived in great condition in timely manner, but I did not pay attention during purchase process and this turned to be only volume 1. In order to get complete curriculum you would need volume 2 also. Other sellers had this as comeplete book ( including volume1 and volume 2 in same book).
As a parent from a public-school background making the transition to homeschool my teenager, I have found this book and the teacher's edition to be just what I needed. I chose this over both Saxon and Abeka, which are popular courses used in private schools. Ron Larson and his team have done a wonderful job clearly explaining the concepts, having plenty of practice problems, and what is more, giving practical application examples and keeping the interest of the students. Also the flow of the concepts is easy to follow. I have not had to deal with the "Why do I have to learn this?" question kids so often bring up. We made it through the first semester without the teacher's edition, but since it contains the test question answers I would recommend to purchase it as well. Both books were very reasonably priced as used books - please note the new book prices are extremely inflated. This book is useful for self-study as well. I had not studied algebra since 1985, and I had no problem re-learning everything I needed to teach my daughter.
I'm an adult re-learning what teens are expected to know. While not a naturally math-savvy person, this book is easy to read and learn. I'm quickly gaining the knowledge I wish I had learned in high school. I check in with a tutor periodically, but mostly am re-teaching myself from the book. My tutor recommended this book.
I bought this book from Amazon Marketplace for my 10-year-old son who wants to teach himself basic algebra. This book serves the purpose well. It explains the concepts clearly and thoroughly. With lots of examples and exercises, this book is great for self study. |
mathematics Worksheet -
Educational/Teaching Tools4.
Aviaion mathematics -
Utilities/Other Utilities ... Project avmath implements a computational solution to the aviation wind triangle and is targeted towards learners that have completed pre-calculus and are headed for calculus. ...
5.
SpeQ mathematics -
Educational/Mathematics ... SpeQ is a small, extensive mathematics program with a simple, intuitive interface. All calculations are entered in a sheet. In there you can freely add, edit and execute all calculations. You can define variables and functions, and plot graphs of your functions. You can save your calculations for later re-use. ...
mathematics Quiz -
Educational/Mathematics ... This program is designed for students aged 7 - 9 in Primary 1 - 3. There are over 1500 challenging Maths quizzes and problem sums to practise on. Topics include Addition, Subtraction, Multiplication, Division, Length, Weight, Time, Money, Fractions, Graphs, Permeter, Area, Volume, Geometry, etc. Questions are modelled closely to primary education curriculum. All test papers comes with model answers, fully automated marking system and performance report card. This personal e-tutor is also able to ...
8.
mathematics Tools -
Educational/Other ... mathematics Tools is a tools that help people in solving Mathematical problems such as: - Solving quadratic equation and cubic equation - Solving System of equations (2 or 3 unknowns) - Working in the Base Number System - Practice: Calculate the value of PI using the Probability - Explore the Fibonacci Number - Quiz Calculate It Quickly: help children in calculating - Calculate the Greatest Common Divisor or Least Common Multiple and lots of features will be update in the next version. ...
9.
Visual mathematics -
Educational/Mathematics ... Visual mathematics is a highly interactive visualization software (containing -at least- 67 modules) addressed to High school, College and University students. This is a very powerful tool that helps to learn and solve problems by the hundreds in a very short time. Included areas: Arithmetic, Algebra, Geometry, Trigonometry, Analytic Geometry and miscellaneous.Visual mathematics, a member of the Virtual Dynamics mathematics Virtual Laboratory, is an Intuitively-Easy-To-Use software.Visual ...
10.
Web Components for mathematics -
Utilities/Other Utilities ... A framework of configurable mathematical software components written in the Java language, meant to be used on instructional Web pages. This project will take the original version (called JCM) and modify it to use Swing and JavaBeans. ...
pmp Certficiation Requirements -
Business & Productivity Tools/Other Related Tools ... pmpcertification Requirements - pmpcertification courses - Are you organized? What pmpcertification courses do you want to acquire your certification in challenge administration? Well, that solution is dependent very much on no matter whether or not you fulfill all of the pmpcertification prerequisites or not. pmpcertification courses - Are you geared up? What pmpcertification programs do you want to obtain your certification in venture administration? Perfectly, that response relies upon ...
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Altdo Video To pmp Converter -
Business & Productivity Tools ... Altdo Video to pmp Converter is a powerful multi-format conversion tool for pmp movie with high speed and without movie quality loss. It can convert *.3gp, *.avi, *.asf, *.mov, *.wmv, *.mp4, *.m4v, *.mpeg, *.mpg to pmp format.You can enjoy your favorite Movie on your PC, it is faster than other pmp Converter software, and just a few clicks is enough. It is designed for anyone who wants to watch multi-format movies on the PC.The interface is very vogue. ...
5.
UM DVD to pmp Video Converter -
Multimedia & Design/Rippers & Converters ... UM DVD to pmp Video Converter can help you to watching DVD movies on your pmp device. UM DVD to pmp Video Converter not only helps you rip DVD movies but also converts them to the video format play with your pmp Device! Fast and easy-to-use, this powerful DVD ripping software can convert DVD to pmp MP4, WMV, MP3, AAC, M4A, for pmp player. UM DVD to pmp Video Converter features a range of versatile editing tools giving you the ability to clip a video to extract your favorite segments, split a ...
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PMI pmp Exam Simulator -
Business & Productivity Tools/Project Management ... pmp professional As you attempt your pmp preparation, your aim is to learn the skills required to train you for your project management profession exam. The pmp credential test targets two primary areas of your training; the theory and practical. The test is intended to evaluate not only your level of expertise but your ability to utilize that in given situations. Therefore, these are what the pmp preparation aspires to develop for you.An individual that is accountable for project management ...
7.
Whizlabs pmp Exam -
Programming/Other ... Whizlabs, an ISO 9001:2000 certified company, ensures your success in the pmpcertification exam with its simulator comprising of 1000 questions, spread across 5 mock exams and a quiz of 200 questions, and all based on the latest pattern. ...
GLM -
Programming/Components & Libraries ... GLM or OpenGL mathematics is a C++ mathematics library created for 3D software based on the OpenGL Shading Language (GLSL) specification.GLM provides classes and functions designed and implemented with the same naming conventions and functionalities than GLSL so that when a programmer knows GLSL, he knows GLM as well which makes it really easy to use.This project is not limited by GLSL features. An extension system, based on the GLSL extension conventions, provides extended capabilities: matrix ...
10.
Oriana -
Business & Productivity Tools/Math & Scientific Tools ... Oriana calculates a variety of single sample statistics as well as inter-sample comparisons. The basic statistics include the circular mean, length of the mean vector, circular standard deviation and 95% and 99% confidence limits. There are also a number of single sample distribution tests, such as Rayleigh's test of uniformity and Rao's spacing test. Samples can be compared with various tests such as Watson-Williams test or Mardia-Watson-Wheeler test. Intersample correlations can also be ...
Sample Pmp Certification Mathematics
From Long Description
1.
Boson Practice Tests for Project Management Professional (pmp) Exams2.
Project Management Professional Test from Boson3.
Math Games Level 1 -
Educational/Mathematics ... Undoubtedly, mathematics is one of the most important subjects taught in school. It is thus unfortunate that some students lack elementary mathematical skills. An inadequate grasp of simple every-day mathematics can negatively affect a person's life. ...
mathematics Worksheet Factory -
Educational/OtherMatheAss -
Multimedia & Design/Other Related Tools ... MatheAss (former Math-Assist) is a computer program for the numerical solution of many problems in school mathematics. It finds wide use in Germany in high school mathematics, for schools in the federal state of Hessen (Germany) exists a state license, which allows all secondary schools using MatheAss. "MatheAss" means Mathematical Assistant and that's exactly what this program is designed to be. It's for secondary level or high school students and teachers and anybody else who has ...
8.
pmp -
Utilities ... pmp is a performance monitor for remote/multiple Windows servers. You can monitor the real time CPU, memory, disk and network usage values from the several networked servers and can be notified for specific server status. In addition to the basic alarming methods, pmp provides email notification, automatic/manual remote command execution. pmp also provides HTML reporting and you can share it with other staff.
Version 8.0.1 includes Windows Vista compatibility, new visual notification method, ...
9.
GEUP 3D -
Multimedia & Design/Graphic & Design ... GEUP 3D is an interactive solid geometry software for math calculation and visualization. It allows to create dynamic and general constructions/applications visually by defining math elements. GEUP 3D allows the modification of the construction visually (directly in screen) and it calculates each one of its particular cases in real time. GEUP 3D is the equivalent of GEUP 4 in the 3D space.With GEUP 3D you can study graphically a general problem and obtain dynamically its particular cases. This ...
10.
InterReg -
Educational/Mathematics ... Inter The applications are many and reach from education over science to productive use in your company: in example |
Take it step-by-step for pre-calculus success!
The quickest route to learning a subject is through a solid grounding in the basics. So what you won't find in Easy Pre-calculus Step-by-Step is a lot of endless drills. Instead, you get a clear explanation that breaks down complex concepts into easy-to-understand steps, followed by highly focused exercises that are linked to core skills--enabling learners to grasp when and how to apply those techniques.
This book features:
Large step-by-step charts breaking down each step within a process and showing clear connections between topics and annotations to clarify difficulties
Stay-in-step panels show how to cope with variations to the core steps |
Pearson Debuts Interactive NovaNET Geometry
Pearson has launched a new online geometry course for its NovaNET 15.0 service targeted toward students in grades 6 through 12 and adult education.
Person's NovaNET is an online, standards-based courseware system designed for middle- and high-school students. Aligned to the 2007 Prentice Hall Geometry textbook, the new NovaNET Geometry course includes 77 multimedia lessons and includes instructional strategies for each. Additional features include:
Interactive practices;
Feedback and remediation;
Ongoing, formative and summative assessments for each lesson; and
Support for special needs students, including struggling readers.
According to Pearson, the previous geometry course remains available, but the new version is designed for split-semester geometry schedules divided into Geometry A and B |
Feynman Lectures - Anything similar for Mathematics?
Last year I got volume 1-3 of the Feynman lectures but as a soon mathematics major I think it'd be appropriate to read more mathematics lectures (and more enjoyable). Is there anything similar I could ask for for my upcoming birthday?espen180
#3
Nov10-12, 09:56 AM
P: 836
Bourbaki.
converting1
#4
Nov10-12, 10:22 AM
P: 65
Feynman Lectures - Anything similar for Mathematics?
Quote by oli4I'm just looking for something which really underlies the foundations of mathematics, something rigorous with a lot of proofs, but still requires a proficiency in mathematics. Here is what I've studied so far:
when working through the topics above I would really have to attempt the proofs myself, and if I couldn't do it it'd take a while to be able to find a proof online, so it'd be nice to have it all summarized in a book or so
I've heard a lot of Spivak, do you think it would be suitable given my previous background? (second post)
micromass
#15
Nov10-12, 10:45 AM
Mentor
P: 18,099
Quote by converting1
I've heard a lot of Spivak, do you think it would be suitable given my previous background? (second post)converting1
#16
Nov10-12, 10:48 AM
P: 65
Quote by micromassthanks, I'll be sure to get it.
Also, I hear most undergraduate textbooks don't have any answers attached, wouldn't this be a problem if it has very hard exercises?
micromass
#17
Nov10-12, 10:50 AM
Mentor
P: 18,099
Quote by converting1
thanks, I'll be sure to get it.
Also, I hear most undergraduate textbooks don't have any answers attached, wouldn't this be a problem if it has very hard exercises?
If I'm not mistaken, Spivak gives some solutions (but not all) at the end of the text.
converting1
#18
Nov10-12, 10:53 AM
P: 65
Quote by micromass
If I'm not mistaken, Spivak gives some solutions (but not all) at the end of the text.
I see, thanks
out of curiosity does this book cover calc I-III in the US education system? I'm from the UK and we don't have that sort of system afaik. |
Math 9H
We use the same textbooks as regular Math 9 courses, so the topics learned and sequence of lessons is generally the same. Some key differences include:
1) Contests and Challenge Problems
In Honours classes, a portion of our class time will be spent on math contests, problem-solving topics and challenge problems. We will also practice past math contests to prepare for this year's upcoming contests.
2) Depth of Study
In Honours classes, as we teach each topic, we go a bit further and introduce some problems that would be found at the next grade level. For example, a Math 9 Principles student would learn basic linear relations, but a Math 9 Honours student would learn basic linear relations AND the more advanced material taught in Math 10.
3) Homework
In regular classes, students are assigned more of the easier "Practice" questions, while in Honours classes, students will be assigned more of the harder "Problems and Applications" questions. Occasionally, honours assignments and math contests will be assigned for homework as well.
4) Tests and Evaluation
The tests in Honours classes will reflect the notes, examples, and extra material that we cover in our lessons, and are generally a bit more difficult than the corresponding tests in regular classes. However, there will also be more bonus questions on tests, and students will also have opportunities to get extra marks from participation in math contests. |
This course aims to strengthen and expand students' understanding of fundamental mathematics – number systems, arithmetic, geometry, combinatorics, and mathematical reasoning – through study of the mathematics of world cultures. In addition, the course is designed to explore the connections between mathematics and the arts, to engage students' imagination and creativity, and to increase the diversity of offerings in the mathematics classroom. |
IB Mathematical Studies SL is a two year course in the study of different math systems where students will broaden their general knowledge of mathematics.This course is designed for the student who anticipates minimal further mathematics instruction at the collegiate level.The Math Studies course will implement the learner profile by grounding the students in real-life experiences and encouraging them to become thinkers and risk-takers.The aim and objectives include the use of practical applications, which will be heavily incorporated throughout the course as individual work and group learning.Student presentations to peers and the class will occur frequently.The students will develop logical and creative mathematical thinking and be able to express their knowledge of mathematics in written form while using appropriate notation and terminology.In addition, they will be required to demonstrate an understanding of both the significance and the reasonableness of determined results through in-depth analysis.The students will also acknowledge the history of mathematics and be able to recognize the origination of mathematical concepts from all over the world through various assignments.This course will be a two-year study culminating in an individual project.Topics covered include an introduction to the graphing calculator, numbers and algebra, sets, logic, probability, functions, geometry and trigonometry, statistics, introduction to differential calculus and financial mathematics.
INTERNATIONAL BACCALAUREATE MATH HL
The IB Diploma Programme mathematics higher level course is for students with a strong background in mathematics and competence in a range of analytical
and technical skills. Students will be likely to include mathematics as a major component of university studies—either in its own right or within courses such as
physics, engineering or technology. The course focuses on developing important mathematical concepts in a comprehensive, coherent and rigorous way through a
balanced approach.
Students are encouraged to apply their mathematical knowledge to solve problems set in a variety of meaningful contexts and to justify and prove results.
Students develop insights into mathematical form and structure and become intellectually equipped to appreciate the links between concepts in different topic
areas. They will also be urged to develop the skills needed to continue their mathematical growth in other learning environments. In addition, the course will
enable students to:
• appreciate the multicultural and historical perspectives of all group 5 courses
• enjoy the courses and develop an appreciation of the elegance, power and usefulness of the subjects
• develop logical, critical and creative thinking
• develop an understanding of the principles and nature of the subject
• employ and refine their powers of abstraction and generalization
• develop patience and persistence in problem-solving
• appreciate the consequences arising from technological developments
• transfer skills to alternative situations and to future developments
• communicate clearly and confidently in a variety of contexts
• appreciate the multiplicity of cultural and historical perspectives of mathematics, including the international dimension of mathematics. |
... 1 ... Unit 9 – Exponential and Logarithmic Functions - Classwork In our study of Precalculus, we have examined polynomial expressions, rational expressions, and trigonometric expressions. What we have not examined are exponential expressions, expressions of the form !
Kindergarten and first grade unit assessments are ... and Precalculus Curriculum (VADs, YAGs, and IFDs) and unit lessons will be available for all three ... Development/Login activity counts will provide administrators with the number of lesson plans and units that teachers have ... |
, case studies and exercises. Organised in three parts, Cyganek and Siebert give a brief history of vision research, and subsequently:
explain scale-space vision, as well as space reconstruction and multiview integration;
demonstrate a variety of practical applications for 3D surface imaging and analysis;
provide concise appendices on topics such as the basics of projective geometry and tensor calculus for image processing, distortion and noise in images plus image warping procedures.
An Introduction to 3D Computer Vision Algorithms and Techniques text." (Zentralblatt MATH, 2012)
From the Back Cover. Organised in three parts, Cyganek and Siebert give a brief history of vision research, and subsequently:
explain scale-space vision, as well as space reconstruction and multiview integration
demonstrate a variety of practical applications for 3D surface imaging and analysis
provide concise appendices on topics such as the basics of projective geometry and tensor calculus for image processing, distortion and noise in images plus image warping procedures
An Introduction to 3D Computer Vision Techniquesand AlgorithmsMost Helpful Customer Reviews
Although Hartley's book offers a deeper perspective on stereo 3D reconstruction, it is also aimed at an audience with a higher knowledge on this area, both mathematically and conceptually. This book on the other hand offers a more simplistic solution but it also offers a good review on disparity and point correspondence estimation, which on Hartley's book is barely covered. As each of theese books offfers a slightly different point of view on the matter, I suggest having both as good references on the subject.
I felt like Penny Penny Penny when buying this book for my son. Could not get one thing out of it: good thing wasn't for me. My son loves the book and uses it with his teaching and classes he takes. I on the other hand am more of See Dick run, See Jane Run ha ha. |
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About this title: "Basic Mathematical Skills with Geometry, 8/e by Baratto/Bergman" is part of the latest offerings in the successful Hutchison Series in Mathematics. The eigth edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce basic mathematical skills and put the "content in context." The authors use a three-pronged approach (I. Communication, II |
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Starting at $616/1999Hundreds of solved examples, exercises, and applications help students gain a firm understanding of the most important topics in the theory and applications of complex variables. Topics include the complex plane, basic properties of analytic functions, analytic functions as mappings, analytic and harmonic functions in applications, and transform methods. Perfect for undergrads/grad students in science, mathematics, engineering. A three-semester course in calculus is sole prerequisite. 1990 edition. Appendices.
Table of Contents
The complex plane
The complex numbers and the complex plane
A formal view of the complex numbers
Some geometry
Subsets of the plane
Functions and limits
The exponential, logarithm, and trigonometric functions
Line integrals and Green's theorem
Basic properties of analytic functions
Analytic and harmonic functions; the Cauchy-Riemann equations
Flows, fields, and analytic functions
Power series
Cauchy's theorem and Cauchy's formula
The Cauchy-Goursat theorem
Consequences of Cauchy's formula
Isolated singularities
The residue theorem and its application to the evaluation of definite integrals
Analytic functions as mappings
The zeros of an analytic function
The stability of solutions of a system of linear differential equations |
Calendar Description:
Math 044 is an applied math that covers a variety of areas that will be of benefit in a working career. As this is an Advanced Math, successful completion of this course satisfies the Math component of the B.C.Adult Graduation Diploma. Whether you want to be a teacher, welder, secretary, or a carpenter, math is key to your success in the business world.
Course Content:
This Course Consists of Three Core Chapters;
Operations with Real Numbers
First Degree Equations and Inequalities
Equations and their Graphs
Learners must complete a minimum of four of the following Sections;
Consumer Mathematics
Finance
Data Analysis
Measurement
Geometry
Trigonometry
System of Equations
Learning Outcomes:
As a result of taking this course, learners will be able to
Consumer Module
Add, subtract, multiply and divide rational numbers
Evaluate powers with rational base and integer exponents
Demonstrate order of operations
Evaluate radicals and distinguish between exact and approximate answers
Write numbers in scientific notation and convert from scientific notation to decimal notation
Use a scientific calculator
Solve first degree equations in one variable including those in parentheses
Solve formulas for a given variable
Solve first degree inequalities in one variable
Solve practical problems using a first degree equation
Plot points on a coordinate system
Use number pairs to name points on the coordinate system
Determine whether a given point is a solution to an equation in two variables
Create an appropriate table of values and recognize the graph of the following; Linear, quadratic, reciprocal, square root, exponential.
Given the graph of an equation determine where appropriate, the following: X and Y intercepts, vertex, slope
Data Analysis Module
Determine the mean, median, mode and range from a set of data
Interpret and /or construct frequency tables, broken line graphs, bar graphs, and stem plots from a set of data
Find quartiles and the percentile represented by a given data value
Calculate the standard deviation of a set of data using appropriate technology
Use Z scores to analyze normally distributed data
Measurement Module
Solve problems involving composite shapes and solids with reference to perimeter, area, volume and surface area
Calculate maximum and minimum values using tolerances for lengths, areas and volumes
Enlarge or reduce a dimensionable object according to a specified scale
Geometry Module
Use any of the following angle properties to determine an angle in a drawing
- vertically opposed angles
- corresponding angles, alternate interior angles, and angles on the same side of the transversal
- angles on a line
- angles on a pint
- complementary and supplementary angles
- angle sum of a triangle
Classify triangles and quadrilaterals according to their sides and angles
Draw triangles given: three sides, two sides and a including angle, two angles and a side
Draw quadrilaterals given various combinations of side angles and diagonals
Trigonometry Module
Solve right-angle triangles using one or more of :
- the sine ratio
- the cosine ratio
- the tangent ratio
- the Pythagorean theorem.
Solve triangles using the Law of Sines and/or the Law of Cosines |
Precalculus - Text - 4 and helpful features. The result is an easy-to-use, comprehensive text that is the best edition yet |
This educator's guide accompanies Developmental Math Level 1. It provides the answers to the student book, as well as information for the teacher on how each level fits into the overall program. Notes may include how lessons to one another, highlight important concepts, delineate lessons objectives, or feature additional elaboration for exercises. Student page numbers are referenced. Softcover.
Customer Reviews for Developmental Math, Level 1, Educator's Guide
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According to OER Commons, "This book is about how to use OpenOffice Writer to create large and complex documents. It explains...
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According to OER Commons, "This book is about how to use OpenOffice Writer to create large and complex documents. It explains how Writer organises text into paragraphs and pages and shows how styles and formatting control the appearance of the document. It discusses how to create headings, tables, figures, frames and mathematical expression. It discusses how to handle citation and referencing in the three common styles, and shows how to create tables of contents and indices.״
This is a free textbook offered by BookBoon.'Have you ever thought that you would be able to learn algebra if only you had a...
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This is a free textbook offered by BookBoon.'Have you ever thought that you would be able to learn algebra if only you had a tutor on whom you could call whenever you wanted? Well, Quantitative Analysis – Algebra with a Business Perspective is the next best thing. Written by an experienced mathematics teacher, this e-book is presented in tutorial fashion as if a tutor was sitting next to you . . . talking you through the examples. All you need to do is turn to whatever presentation you wish . . . without having to schedule mutual meeting times and without having to pay an hourly rate.This tutorial textbook has been organized into 4 chapters (units) with several individual tutorial lessons within each chapter. As presented in the table of contents, each of the tutorials has been listed separately with its objective and its starting page. For coding purposes: "Tutorial N.M" means that the tutorial is the Mth lesson in chapter N.The purpose of this tutorial textbook is to present mathematical skills (algebraic concepts) and their various applications that may be important to students of management (business) science. The applications included should allow readers to view math in a practical setting relevant to their intended careers.' |
overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic.
Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry. |
97808218 Course in Convexity (Graduate Studies in Mathematics, V. 54)
Convexity is a simple idea that manifests itself in a surprising variety of places. This fertile field has an immensely rich structure and numerous applications. Barvinok demonstrates that simplicity, intuitive appeal, and the universality of applications make teaching (and learning) convexity a gratifying experience. The book will benefit both teacher and student: It is easy to understand, entertaining to the reader, and includes many exercises that vary in degree of difficulty. Overall, the author demonstrates the power of a few simple unifying principles in a variety of pure and applied problems.
The notion of convexity comes from geometry. Barvinok describes here its geometric aspects, yet he focuses on applications of convexity rather than on convexity for its own sake. Mathematical applications range from analysis and probability to algebra to combinatorics to number theory. Several important areas are covered, including topological vector spaces, linear programming, ellipsoids, and lattices. Specific topics of note are optimal control, sphere packings, rational approximations, numerical integration, graph theory, and more. And of course, there is much to say about applying convexity theory to the study of faces of polytopes, lattices and polyhedra, and lattices and convex bodies.
The prerequisites are minimal amounts of linear algebra, analysis, and elementary topology, plus basic computational skills. Portions of the book could be used by advanced undergraduates. As a whole, it is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research. The book will also be of interest to research mathematicians, who will find some results that are recent, some that are new, and many known results that are discussed from a new |
Intended Outcomes
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
Binomial and trinomial factoring
Extracting roots
Solving quadratic equations by factoring and using the quadratic formula
Graphing quadratic functions
Solving systems of linear equations
At least two proctored closed-book, closed-note examinations (one of which is the comprehensive final).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
Graphical understanding
Algebraic manipulation
Number sense
Problem solving
Applications, formulas, and modeling
Critical thinking
Effective communication
SKILLS
1.0 SYSTEMS OF LINEAR EQUATIONS IN TWO VARIABLES
1.1 Solve and check systems of equations graphically and using the substitution and addition methods.
1.2 Create and solve real-world models involving systems of linear equations in two variables.
1.2.1 Properly define variables; include units in variable definitions.
1.2.2 Apply dimensional analysis while solving problems.
1.2.3 State contextual conclusions using complete sentences.
1.2.4 Use estimation to determine reasonableness of solution.
3.0 FACTORING POLYNOMIALS
3.1 Factor the greatest common factor from a polynomial.
3.2 Factor a polynomial of four terms using the grouping method.
3.3 Factor trinomials that have leading coefficients of 1.
3.4 Factor trinomials that have leading coefficients other than 1.
3.5 Factor differences of squares.
3.6 Recognize and factor sums and differences of cubes.
4.0 QUADRATIC EQUATIONS IN ONE VARIABLE
4.1 Solve quadratic equations using the zero product principle (factoring).
4.2 Solve quadratic equations using the square root property (see Section 2.5).
4.3 Solve quadratic equations using the quadratic formula (see Section 2.5).
4.4 Make choices about the appropriate method to use when solving a quadratic equation.
4.5 Understand that the solutions satisfy the original equation by checking the solutions.
4.6 Distinguish between a linear and a quadratic equation and be able to solve both kinds of equations when mixed up in a problem set.
4.7 Create and solve real-world models involving quadratic equations.
4.7.1 Properly define variables; include units in variable definitions.
4.7.2 Apply dimensional analysis while solving problems.
4.7.3 State contextual conclusions using complete sentences.
4.7.4 Use estimation to determine reasonableness of solution.
5.0 QUADRATIC EQUATIONS IN TWO VARIABLES
5.1 Identify a quadratic equation in two variables.
5.2 Create a table of solutions for the equation of a quadratic function.
5.3 Emphasize that the graph of a parabola is a visual representation of the solution set to a quadratic equation.
5.4 Graph quadratic functions by finding the vertex and plotting additional points without using a graphing calculator.
5.5 Algebraically find the vertex, axis of symmetry, and vertical and horizontal intercepts and graph them by hand.
5.5.1 The vertex as well as the vertical and horizontal intercepts should be written as ordered pairs.
5.5.2 The axis of symmetry should be written as an equation.
5.6 Determine whether quadratic functions are concave up or concave down based on their equations.
5.7 Create, use, and interpret quadratic models of real-world situations algebraically and graphically.
5.7.1 Evaluate the function at a particular input value and interpret its meaning.
5.7.2 Given a functional value (output), find and interpret the input.
5.7.3 Interpret the vertex using proper units.
5.7.4 Interpret the vertical intercept using proper units.
5.7.5 Interpret the horizontal intercept(s) using proper units.
6.0 RELATIONS AND FUNCTIONS
6.1 Use the definition of a function to determine whether a given relation represents a function.
6.2 Determine the domain and range of a function given as a graph or as a table.
6.3 Apply function notation in graphical, algebraic, and tabular settings.
6.3.1 Understand the difference between the input and output.
6.3.2 Identify ordered pairs from function notation.
6.3.3 Given an input, find an output.
6.3.4 Given an output, find input(s).
6.4 Interpret function notation in real world applications.
6.4.1 Evaluate the function at a particular input value and interpret its meaning.
6.4.2 Given a functional value (output), find and interpret the input.
Department Notes
MTH 65 is the second term of a two term sequence in beginning algebra. One major problem experienced by beginning algebra students is difficulty conducting operations with fractions and negative numbers. 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, as it will make a difference in this and future math courses.
Vocabulary is an important part of algebra. Instructors should make a point of using proper vocabulary throughout the course. Some of this vocabulary should include, but not be limited to, inverses, identities, the commutative property, the associative property, the distributive property, 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 equation are distinct mathematical processes and that each has its own set of rules, procedures, and outcomes.
Proper usage of equal signs must be stressed at all times. Students need to be taught that equal signs are used to communicate multiple ideas and they need to be taught the manner in which equal signs are used to communicate these ideas.
Equivalence of expressions is always communicated using equal signs. Students need to be taught that when they simplify or evaluate an expression they are not solving an equation despite the presence of equal signs. Instructors should also stress that it is not acceptable to write equal signs between nonequivalent expressions.
Instructors should demonstrate that both sides of an equation need to be written on each line when solving an equation. An emphasis should be placed on the fact that two equations are not equal to one another but they can be equivalent to one another.
Instructors 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:
The distinction between an equal sign and an approximately equal sign should be noted and students should be taught when it is appropriate to use one sign or the other.
The manner in which one presents the steps to a problem is very important. We want all of our students to recognize this fact; thus the instructor needs to emphasize the importance of writing mathematics properly and students need to be held accountable to the standard. When presenting their work, all students in a MTH 65 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 covered before quadratic equations, and continually revisited. Use quadratic equations as an example of a function to reinforce the use of function notation, and the concepts of domain and range throughout the course.
Instructors should remind students that the topics discussed in MTH 60 and MTH 65 will be revisited in MTH 95 and beyond, but at a much faster pace while being integrated with new topics. |
Provides basic math fundamentals for the carpentry and building trades. Loaded with applications which shows students how they will need and use math in the building world. Provides basic math fundamentals for the carpentry and building trades. Loaded with applications which shows students how they will need and use math in the building world.
Editorial Reviews
Booknews
A review of basic math. How to calculate lumber quantities and prices accurately and how to estimate other building jobs reliably. Includes exercises |
Elementary Algebra With Bca Tutorial, and Infotrac
9780534400415
ISBN:
0534400418
Publisher: Thomson Learning
Summary: Jerome Kaufmann and Karen Schwitters discuss algebra with clear and concise exposition, numerous examples, and plentiful problem sets. They reinforce the following common thread - learn a skill, use the skill to solve equations, and then apply this to solve application problems.
Kaufmann, Jerome E. is the author of Elementary Algebra With Bca Tutorial, and Infotrac, published under ISBN 9780534400415 and 053...4400418. Nineteen Elementary Algebra With Bca Tutorial, and Infotrac textbooks are available for sale on ValoreBooks.com, thirteen used from the cheapest price of $3.08, or buy new starting at $97.23.[read moreTroy, MIShipping:Standard, ExpeditedComments:ALTERNATE EDITION: INSTRUCTORS Edition. Identical content as the student version, only may include all answers or no... [more] |
Algebra and Trigonometry-Study Guide - 3rd edition
Summary: This carefully crafted learning resource helps students develop their problem-solving skills while reinforcing their understanding with detailed explanations, worked-out examples, and practice problems. Students will also find listings of key ideas to master. Each section of the main text has a corresponding section in the Study Guide |
From the preface: "This is a book on linear algebra and matrix theory. While it is self-contained, it will work best for...
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From the preface: "This is a book on linear algebra and matrix theory. While it is self-contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however." A solutions manual to the exercises in the textbook is included.
The study of "abstract algebra" grew out of an interest in knowing how attributes of sets of mathematical objects behave when...
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The study of "abstract algebra" grew out of an interest in knowing how attributes of sets of mathematical objects behave when one or more properties we associate with real numbers are restricted. The student will begin this course by reviewing basic set theory, integers, and functions in order to understand how algebraic operations arise and are used. The student then will proceed to the heart of the course, which is an exploration of the fundamentals of groups, rings, and fields. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 231)
This course is a continuation of Abstract Algebra I: the student will revisit structures like groups, rings, and fields as...
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This course is a continuation of Abstract Algebra I: the student will revisit structures like groups, rings, and fields as well as mappings like homomorphisms and isomorphisms. The student will also take a look at ring factorization, general lattices, and vector spaces. Later, this course presents more advanced topics, such as Galois theory—one of the most important theories in algebra, but one that requires a thorough understanding of much of the content we will study beforehand. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 232)
This course is divided into four learning units and an appendix. The course begins with a unit that provides a review of...
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This course is divided into four learning units and an appendix. The course begins with a unit that provides a review of algebra specifically designed to help and prepare the student for the study of calculus. The second unit discusses functions, graphs, limits, and continuity. The third unit will introduce and explain derivatives. The fourth unit makes visual sense of derivatives by discussing derivatives and graphs. The appendix provides a large collection of reference facts, geometry, and trigonometry that will assist in solving calculus problems long after the course is over. Note that this course has been developed through a partnership with the Washington State Board for Community and Technical Colleges; the Saylor Foundation has modified some WSBCTC materials. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 005)
This course introduces cryptography by addressing topics such as ciphers that were used before World War II, block cipher...
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This course introduces cryptography by addressing topics such as ciphers that were used before World War II, block cipher algorithms, the advanced encryption standard for a symmetric-key encryption adopted by the U.S. government, MD5 and SHA-1 hash functions, and the message authentication code. The course will focus on public key cryptography (as exemplified by the RSA algorithm), elliptic curves, the Diffie-Hellman key exchange, and the elliptic curve discrete logarithm problem. The course concludes with key exchange methods, study signature schemes, and discussion of public key infrastructure. Note: It is strongly recommended that you complete an abstract algebra course (such as the Saylor Foundation's MA231) before taking this course. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Computer Science 409)
This course focuses on linear ordinary differential equations (or ODEs) and will introduce several other subclasses and their...
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This course focuses on linear ordinary differential equations (or ODEs) and will introduce several other subclasses and their respective properties. Despite centuries of study, numerical approximation is the only practical approach that has emerged to the solution of complicated ODEs ; this course will introduce you to the fundamentals behind numerical solutions. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 221; Mechanical Engineering 003; Computer Science)
This course describes discrete mathematics, which involves processes that consist of sequences of individual steps (as...
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This course describes discrete mathematics, which involves processes that consist of sequences of individual steps (as compared to calculus, which describes processes that change in a continuous manner). The principal topics presented in this course are logic and proof, induction and recursion, discrete probability, and finite state machines. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Computer Science 202)
This course covers the mathematical modeling, analysis, and control of physical systems that are at rest, in motion, or acted...
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This course covers the mathematical modeling, analysis, and control of physical systems that are at rest, in motion, or acted upon by a force; it explores the dynamics of mechanical, thermal, fluid, electrical, and hybrid systems and sub-systems. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mechanical Engineering 401)
Partial differential equations (PDEs) describe the relationships among the derivatives of an unknown function with respect to...
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Partial differential equations (PDEs) describe the relationships among the derivatives of an unknown function with respect to different independent variables, such as time and position. A very large fraction of solvable PDEs are either linear first- or second-order PDEs, or are related to such PDEs by transformation or perturbation theory. Fortunately, these PDEs also make up the language for much of the mathematical description of nature. Most of this class will concentrate on those equations that have proven to be of great importance to real-world applications. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 222)
In this course, the student will learn the basic terminology and concepts of probability theory, including sample size,...
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In this course, the student will learn the basic terminology and concepts of probability theory, including sample size, random experiments, outcome spaces, discrete distribution, probability density function, expected values, and conditional probability. The course also delves into the fundamental properties of several special distributions, including binomial, geometric, normal, exponential, and Poisson distributions. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 252) |
ISBN: 0495013587 / ISBN-13: 9780495013587
Study Guide for Stewart, Redlin, Watson's Algebra and Trigonometry
This carefully crafted learning resource helps students develop their problem-solving skills while reinforcing their understanding with detailed ...Show synopsisThis carefully crafted learning resource helps students develop their problem-solving skills while reinforcing their understanding with detailed explanations, worked-out examples, and practice problems. Students will also find listings of key ideas to master. Each section of the main text has a corresponding section in the Study Guide.Hide synopsis
Description:Good. Study Guide for Algebra And Trigonometry, Second Edition....Good. Study Guide for Algebra And Trigonometry |
Pre-Algebra: Measurement Help and Practice Problems
Find study help on measurement for pre-algebra. Use the links below to select the specific area of pre-algebra measurement you're looking for help with. Each guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn measurement for pre-algebra.
Study Guides
The Basic Concepts of Measurement
Many times in real-life situations, you must convert measurement units from one form to another. For example, you may need to change feet to yards, or quarts to gallons, etc. There are several mathematical ...
Introduction to Measurement Systems
Numbers by themselves are abstract. Units make numbers concrete. We can say that a quantity is this wide, is that heavy, lasts this long, or is that hot; it extends for this many millimeters, ...
Introduction to Conversions
With all the different systems of units in use throughout the world, the business of conversion from one system to another has become the subject matter for Web sites. Nevertheless, in order to get familiar with how ...
Introduction to Basic Units in the International System
In all systems of measurement, the base units are those from which all the others can be derived. Base units represent some of the most elementary properties or phenomena we observe in ... |
...
More About
This Book
a great way to spark student interest in math. Grades 5-12.
Editorial Reviews
Booknews
Each chapter of this new supplemental mathematics text for grades 5-12 presents the historical background of a mathematician or problem, along with an activity based upon the problem and its solution. The projects are designed to be incorporated into a variety of curriculums, and they can be used as introductions into new topics or as a fun way to make mathematics relevant for young people. Johnson, a mathematics teacher at Nashua High School in New Hampshire, demonstrates how the solutions to these age old problems can be applied to everyday situations. Annotation c. Book News, Inc., Portland, OR (booknews.com)
From The Critics
Famous Problems and Their Mathematicians is an excellent compilation of the more challenging problems one encounters at the end of a chapter in most high school and some junior high school mathematics textbooks. Each of the volume's 61 chapters represents a specific type of problem. All are written in the same format. A problem that has been given a name is followed by some background information on the creator and the problem. Next come directions, followed by steps to a solution, or an actual solution, to the problem. Also included for each problem is a page or section called the "Teacher Page," which gives further information to help teach the concept represented by the problem. Finally, an "Extension Section" takes the concepts covered to new levels in the classroom. Many different disciplines of mathematics are covered, including arithmetic, algebra, geometry, trigonometry, and logic. The problems are multicultural, reflecting the mathematics of many nations. Among the familiar problems presented are those of Fermat, Agnesi, and Pythagoras. Also included are problems by lesser known mathematicians, such as Aryabhata (Indian), Abu'l-Wafa' (Islamic), and Brahmagupta (Hindu). A time line giving the name, country of origin, dates, and page number of each problem is also included. This volume is a great source of new and interesting problems; it should be a supplement to all junior and senior high school mathematics courses. Highly Recommended, Grades 7-College, Teaching Professional. REVIEWER: Robert Burchell (Paramus Catholic High School |
Algebra : Form and Function (Preliminary Edition) - 08 edition
Summary: This text covers all of the standard topics for college algebra. The first four chapters give an introduction to algebra for those students who need it. There is also a cumulative review exercise at the end of Chapter 4.The exercises are a normal lesson apart, and the problems in each exercise are in groups of four similar ones. This makes it a simple matter for even the inexperienced instructor to make a good assignment regularly. Most classes only need to be assign...show moreed every fourth problem, but other problems are available for practice. There are about 5000 problems in some 75 regular and 12 review exercises. About half of the problems are new, and there are many drill problems which are closely keyed to the examples.Answers are given in the text for three-fourths of the regular and all of the review problems0470226668 |
College Algebra - With CD - 04 edition
ISBN13:978-0534423278 ISBN10: 0534423272 This edition has also been released as: ISBN13: 978-0534423445 ISBN10: 0534423442
Summary: These experienced authors have been praised for their in-depth explanations and their commitment to avoiding a cookbook approach. Their text addresses three critical issues in teaching college algebra: poor student preparation, the need for thoughtful integration of the graphing calculator, and poor student study skills. Their texts have a strong reputation built on mathematically sound presentation, excellent applications, and on challenging students to develop alge...show morebraic, graphical, and verbal mathematical skills. Goodman and Hirsch help students go beyond the mechanics of mathematics to developing a coherent strategy to solving problems.
Benefits:
Functions and graphs are covered in great depth in Chapters 3 and 4. Section 3.6 is devoted to interpreting graphs.
Different Perspectives boxes appear wherever there is an opportunity to highlight the connection between the algebraic and graphical interpretation of the same idea.
Applications and Mathematical Modeling are integrated throughout the text. Modeling is introduced in its own section 4.3 with a special concentration of modeling problems in chapters 4, 5, and 6. These sections provide practice in skills necessary for calculus.
Developing Problem Solving Skills: Problem Analysis is presented in a question and answer format that walks students through the process of setting up and solving problems.
Margin Comments ask questions that help students check their understanding and provide tips to pace the reading of the material.
Found in the Annotated Instructor's Edition, the New Resource Integration Guide makes this text eminently teachable by offering a chapter-by-chapter glimpse of how the supplements support the text's learning system, reducing the time-consuming task of choosing activities or graphing calculator exercises and directing students to valuable study aids.
Every new copy of this text is packaged with our suite of online, customizable technology services, giving your students dynamic, flexible online tutorial resources at their fingertips. By entering a PIN code packaged with their textbook, students gain access to text-specific tutorials with step-by-step explanations, exercises and quizzes, and vMentor--live one-on-one help from an experienced mathematics tutor. For instructors, we offer highly customizable testing, course management, and diagnostic online resources that provide a dynamic way to power your course.
Our student mastery system also includes the Interactive Video Skillbuilder CD-ROM. Think of it as portable office hours! Free with every copy of this text, the Interactive Video Skillbuilder CD-ROM contains more than eight hours of video instruction.
In addition to robust tutorial services, your students also receive anytime, anywhere access to InfoTrac College Edition. This online library offers the full text of articles from almost 4000 scholarly and popular publications, updated daily and going back as much as 22 years. Both adopters and their students receive unlimited access for four monthsAcceptable
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Math Center
The Math Center is a non-credit, Community Education class which provides assistance
in mathematics as a completely free service. Current Allan Hancock College students
as well as other individuals who are 18 years or older may fill out a simple registration
form and attend as frequently as they want. Registration forms may be found in the
Math Center or at Community Education in Building S.
The goal of the Math Center (sometimes called the Math Lab) is to assist students
in the successful completion of any Allan Hancock College mathematics class by providing
additional instructional resources. The Math Center offers many resources, including
one-on-one, drop-in tutoring by our staff of instructors and student tutors. Please
see the full list of resources below:
Free, drop-in tutoring
A place to study individually or in small groups
In-house loan of current textbooks and solutions manuals
A library of supplemental books, DVDs, and video tapes for check-out
Computers for mathematical purposes
Calculators
Handouts on math topics, including content from various math courses as well as information
on overcoming math anxiety and preparing for and taking math tests
Two private study rooms
Make-up testing
Workshops
Joining the math center group
Current students may access more detailed information by entering their myHancock
portal and joining the Math Center Group. Details may include information such as
the current schedule of instructors and student tutors who work in the Math Center,
a schedule of instructors and tutors who specialize in statistics, upcoming workshops
on selected topics, etc. To join the Math Center Group:
Enter myHancock
Look at the center of the Home page in the box titled "My Groups." Click on "View
All Groups" at the bottom of the box.
STAFF |
9780130674 Algebra
For junior/senior-level courses in Abstract Algebra and Cryptography in departments of mathematics, computer science, and engineering. Emphasizing the fact that solid mathematics leads to solid applications, this text builds a mathematical foundation that includes topics in number theory and the theory of infinite fields. - Hints for using Maple, MultiPAD, and Scientific Notebook. - Supplies students with explicit examples of how to use these technology products to perform calculations related to the course, and enables them to better understand the ideas developed in the text. - An entire chapter devoted to the Rijndael Algorithm - Featuresm the interesting mathematics upon which it is based. - Enables students to focus on and understand the recently adopted Advanced Encryption Standard (replacing the Data Encryption Standard) as the default for financial and web transactions. - Solutions to selected exercises. - Shows students how the solution was worked out - not just the correct answer. - A comprehensive presentation. - Provides students with numerous topics in cryptology, number theory, and error correcting codes - not found in other texts |
simple introductory treatment emphasizes fundamentals and is easily comprehensible to readers with some college algebra. Topics include rudiments; arbitrary sets and their cardinal numbers; ordered sets and their ordered types; and well-ordered sets and their ordinal numbers. "Exceptionally well written." — School Science and Mathematics. "A very fine book." — Mathematics Teacher
{"currencyCode":"USD","itemData":[{"priceBreaksMAP":null,"buyingPrice":8.06,"ASIN":"0486601412","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":3.99,"ASIN":"0486678709","isPreorder":0}],"shippingId":"0486601412::2Wz%2BCu3qTqSUkeoibE2HuwD%2BEL8u9jCZV%2BfTa3VZOJWODK7dPfdGlUf5gE9jruz7vj9nuhaqr0LzK7puFToBtf9USmJAzbw2WljtZdwHX8M%3D,0486678709::lJcUMBqM30w4M6yqzPqIITEuELp7GqUVW%2BYsxtzhXvEAxNdC6c2TXUlXL6jJMIAvBntj3dwXbv6exactURH2FETLbWTLdch8LhtKdT6x very good introduction to Set theory. It starts with basics, and takes one through to The Axiom of Choice or well-ordering theorem. Set theory being a rather abstract subject, most books do not give a motivation for the various terminology in set theory (which enhances understanding of why many concepts had to be introduced. The book however uses strange archaic Math typography, because of which through out the book I kept on trying to figure out whether it is a srcipt pi or script R. This sometimes confuses the thought process. But overall, the book is quite easy to read and manages to convey to the reader some of the beauty of set theory. At points, one can't help but smile at the ingenuity and the audacity of human thought. I recommened it highly.
Kamke, along with Suppes and Halmos, is one of the classic texts in the theory of sets. Kamke is a bit unique, I think, in that he brings up terms such as jump, cut, and gap. Those are currently out-of-fashion but are in fact more intuitive and give you a direct philosophical grasp. A must-read.
This is a great little book of math for all of those interested in the finer points of set theory. I'm an undergrad math major and found the material challenging yet rewarding. If you are as young as I am, or an experienced mathematician, I believe that this book has something for you to think about. From the first you'll be taken along at a steady pace covering theorems that are quite interesting.
I agree completely with RJ's review, including the his/her frustration with the typography in which capital letters in what I believe is German script are used to denominate sets. Still, once I had that sorted out this was a straightforward and rewarding read. (Other than the capital German letters used to denominate sets, the notation is relatively easy to follow as well, and contrary to another review, there is a perfectly good index to the places where each symbol is introduced.) I intend to supplement its intuitive approach by reading Suppes' presentation of axiomatic set theory. |
28/2002College Algebra: Concepts and Models provides a solid understanding of algebra, using modeling techniques and real-world data applications. The text is effective for students who will continue on in mathematics, as well as for those who will end their mathematics education with college algebra. Instructors may also take advantage of optional discovery and exploration activities that use technology and are integrated throughout the text. A brief version of this text, College Algebra: A Concise Course, provides a shorter version of the text without the introductory review.
Table of Contents
Note: Each chapter includes a Mid-Chapter Quiz
Summary
Review Exercises, and Chapter Test
Fundamental Concepts of Algebra
Real Numbers: Order and Absolute Value
The Basic Rules of Algebra
Integer Exponents
Radicals and Rational Exponents
Polynomials and Special Products
Factoring
Fractional Expressions Make a Decision Project: Musical Notes and Frequencies
Equations and Inequalities
Linear Equations
Mathematical Modeling
Quadratic Equations
The Quadratic Formula
Other Types of Equations
Linear Inequalities
Other Types of Inequalities Make a Decision Project: Salaries in Professional Baseball Cumulative Test: Chapters R1–R2
Functions and Graphs
Graphs of Equations
Lines in the Plane
Linear Modeling and Direct Variation
Functions
Graphs of Functions
Transformations of Functions
The Algebra of Functions
Inverse Functions Make a Decision Project: Demographics
Polynomial and Rational Functions
Quadratic Functions and Models
Polynomial Functions of Higher Degree
Polynomial Division
Real Zeros of Polynomial Functions
Complex Numbers
The Fundamental Theorem of Algebra
Rational Functions Make a Decision Project: Renewable Energy
Exponential and Logarithmic Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Solving Exponential and Logarithmic Equations
Exponential and Logarithmic Models Make a Decision Project: Newton's Law of Cooling Cumulative Test: Chapters 1–3
Systems of Equations and Inequalities
Solving Linear Systems Using Substitution
Solving Linear Systems Using Elimination
Linear Systems in Three or More Variables
Systems of Inequalities
Linear Programming Make a Decision Project: Newspapers
Matrices and Determinants
Matrices and Linear Systems
Operations with Matrices
The Inverse of a Square Matrix
The Determinant of a Square Matrix
Applications of Matrices and Determinants Make a Decision Project: Market Share |
Teacher assigns a problem. I work on it for thirty minutes, then check the textbook to see if it has similar problems. Often the textbook's problems have hints that I can use to solve the original problem.
2 Answers
2
There isn't really such a thing as cheating in solving math problems, but there's such a thing as cheating in courses, and those are two different things.
What you describe is not cheating unless there are constraints you haven't told us about (e.g. it's during a closed-book exam).
In a perfect world, or in a better world, there would be more emphasis on solving problems that you haven't been told how to solve. I.e. you'd have been given enough information to figure it out if you put your brain in gear, but instead of resembling problems you've seen in the book, it might simply be a problem that relies on understanding of concepts you've seen in the book. In that case, you'd still want to look at the book.
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It's not cheating: it's learning. You solve the problem with the help of a kind of teacher (here the book is the teacher). It's a good way to learn something you dont know (here that the problem has connections with others, and how to solve them).
You are not supposed to know everything when you do your homework, but you are supposed to do your best to understand and learn. Which is what you are doing, I guess. |
Algebra in Simplest Terms - Annenberg Media
In this video series for college and high school classrooms and adult learners, host Sol Garfunkel explains how algebra is used for solving real-world problems. Free sign up is required for first-time users of the online videos. Materials (videos andArithmetic is Algebra Backwards - John Hays
A series of essays, including: Deriving integers as vectors of Naturals; rationals, vectors of integers; reals as infinite vectors of rationals by adjoining transfinite operation of LIMIT to arithmetic finite operations; complex numbers as vector of realsComputer Algebra Information Network (CAIN)
A server providing information about Symbolic and Algebraic Computation, set up by the European SAC (Symbolic and Algebraic Computation) Network. The site maintains bibliographies, supports electronic newsletters, and announces current conferences, software
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The Constants and Equations Pages - Jonathan Stott
A growing reference resource providing alphabetically listed categories of some of the more important and useful aspects of maths and special sections on numbers, algebra, trigonometry, integration, differentiation, and SI units and symbols, with in addition
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Elsevier Science
"Information Provider to the World." Elsevier's mission is "to advance science, technology and medical science by fulfilling, on a sound commercial basis, the communication needs specific to the international community of scientists, engineers and associated
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Equation Solver - Alexey V.Voronin
Midlet "Equation Solver" is a mobile phone app intended to solve systems of linear algebraic equations with real coefficients of the second and third order (with two and three unknowns). System Requirements:
Mobile phone should have a color screen and
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Example Problems.com - Todd Smith
This site is an open-community collection of math problems and full solutions for every area of math from Algebra through graduate level partial differential equations, optics, and special functions. The code used on the site's wiki is the same as TeX.
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Expert Math Tutoring in New York - Expert Tutor NY
Ivy League chemistry graduate and certified test prep course teacher offers private instruction for math at high school and college levels in metropolitan New York area -- Regents, SAT, SAT II, algebra, geometry, trigonometry, calculus, precalculus.
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ExploreLearning.com - ExploreLearning
A library of virtual manipulatives called "Gizmos", primarily for grades 3-12, in math and science. Math topics include the major strands of instruction according to national standards, as well as developmental math, college algebra and college-level
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Foundation for Advancements in Science and Education
Since its inception, the mission of this independent non-profit public charity has "evolved continuously, encompassing challenging new issues and exploring innovative applications of information technology." In particular, FASE sells The Eddie Files,
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Elementary Statistics - With CD - 6th edition
Summary: Elementary Statistics is appropriate for a one-semester introductory statistics course, with an algebra prerequisite. ES has a reputation for being thorough and precise, and for using real data extensively. Students find the book readable and clear, and the math level is right for the diverse population that takes the introductory statistics course. The text thoroughly explains and illustrates concepts through an abundance of worked out examplesAcceptable
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missing cd and code is used fast shipping |
It mentions the use of calculators on mobile phones etc, but I don't allow their use in maths classes because they give the wrong answer (try on them or on the Windows standard calculator and you'll see what I mean).
The new A level syllabuses don't distinguish between scientific and graphical calculators, but both are banned from the first Pure Maths module. It will be fascinating to see how students cope with this.
My Norwegian students all have graphical calculators (mainly Casio which I find difficult to use compared with Texas, though I like Casio's scientific calculators) and the only way they are able to solve quadratic equations is to use the calculator, even if the quadratic factorises easily.
Other students, being students, don't always bring calculators even when they need them. So when they have to solve I am very tempted to give them old-fashioned four-figure tables (which you can still buy!) but instead I give them an old scientific calculator. On those, to find , you have to type which so flummoxes them that they don't forget to bring their own calculator again
Strangest thing. The standard Windows calculator gives 9 for 1 2×3 while the scientific mode gives the right answer 7!! How hard would it be to assign the same algorithm to both modes?! Son't bother to answer. Of course it Windows!
I am fully for permitting NO calculators in math exams, unless it is a numerical methods class.
Being the slide-rule breed, I do like the 'old-style' calculators on which I enter the 'argument' before the function. This way, as in the slide rule, I can see and check the intermediate results, and sometime change the course of the calculation (like an if-then-else construct) depending on the outcome. It is hard to find those these days.
For Swimmer: the 'incorrect' mode is for people used to the first generation of calculators that came out in the 1970′s where there was not enough memory to handle the algebraic, and much less, the RPN notations. |
Mathematics for Elementary Teachers, New York Correlation Guide Book: A Contemporary Approach
Students who use this text are motivated to learn mathematics. They become more confident and are better able to appreciate the beauty and excitement ...Show synopsisStudents who use this text are motivated to learn mathematics. They become more confident and are better able to appreciate the beauty and excitement of the mathematical world. the text helps students develop a true understanding of central concepts using solid mathematical content in an accessible and appealing |
A Comprehensive Course in Number Theory [NOOK Book] ...
More About
This Book zeta-function, the prime-number theorem and primes in arithmetical progressions, a description of the Hardy-Littlewood and sieve methods from respectively additive and multiplicative number theory and an exposition of the arithmetic of elliptic curves. The book includes many worked examples, exercises and further reading. Its wider coverage and versatility make this book suitable for courses extending from the elementary to beginning graduate studies.
Editorial Reviews
From the Publisher
"Now the idea of a 250-page "comprehensive" introduction to number theory may seem audacious, but among mathematical writers, Baker manifestly possesses the powerful gifts for precision and concision that could even make it possible. Such a book surely demands very careful study, but amazingly never seems rushed or artificially compressed. Highly recommended."
D.V. Feldman, University of New Hampshire for Choice Magazine
"Any competent instructor could use this as the starting point of a valuable course."
Richard T. Bumby, Mathematical Reviews
Product Details
Related Subjects
Meet the Author
Alan Baker is Emeritus Professor of Pure Mathematics in the University of Cambridge and Fellow of Trinity College, Cambridge. His many distinctions include the Fields Medal (1970) and the Adams Prize |
Welcome to the Math 095 ALEKS Webpage at the University of Wisconsin- Milwaukee. This site will give you information about how the ALEKS program is used in the teaching of Math 095 in this department.
What is ALEKS?
ALEKS is an acronym that stands for ASSESSMENT AND LEARNING IN KNOWLEDGE SPACES. The ALEKS system is an artificial-intelligence driven automated website designed to present students with regular math practice assignments and assess them on their retention of the practice material.
The Math 095 course content has been taken from ALEKS' library of math problems and built into online course sections of Math 095. Students who enroll in the ALEKS sections of 095 do all of their homework and assessments through the ALEKS system, where each student's progress is determined according to the percent of the course content mastered. Each student works through the course content at his or her own pace and in the order in which the student is ready to learn the concepts.
For a further explanation of how the ALEKS program is used in Math 095, read the sample course syllabus available through the link below. If you think you might be interested in enrolling in an ALEKS section of Math 095, reading the linked syllabus in its entirety is highly recommended.
Combined Sections
Two combination courses are offered: a Math 090-095 course (now called Math 094) and a Math 095-105 course. Each of these combined courses is run using the ALEKS program. The philosophy behind these courses is that students who want to finish two lower-level math courses in the same semester may do so if they are willing to make the necessary effort and take advantage of the ability of ALEKS to help them move through the material as quickly as they can learn it.
Each of these combined courses meets 5 days a week, twice a day, in a computer lab. Students spend the majority of their time in these courses doing homework and assessments through ALEKS, while the time spent for instruction is dedicated toward helping students individually or in small groups and toward improving the students' problem-writing and problem-solving skills.
Math 090-095 Combined Course Taught With ALEKS
Math 095-105 Combined Course Taught With ALEKS
Hybrid 095 course
A hybrid Math 095 course is now available. This course is a combination of classroom (face-to-face) meetings and individual online work outside of the classroom. Students meet for only one 50 minute class period each week and spend the time they are not in the classroom working online. Students are expected to spend at least six hours per week working on ALEKS and at least two hours per week participating in online discussions via D2L. In addition, students complete other written homework assignments which are turned in at each class meeting. This class is ideal for students who like working on their own and desire the flexibility of working outside of traditional class times.
A further description of the hybrid course can be obtained through the corresponding links below to the course syllabus and the additional information handout given to the students on the first day of the course.
Online 095
A new completely online Math 095 course has been created by the Department of Mathematical Sciences. It will be offered for the first time in the fall semester of the 2009-2010 academic year. This course is similar to the hybrid course described above but there is no face-to-face time. In particular, students are expected to spend at least eight hours per week working on ALEKS and at least one hour per week participating in online discussions via D2L. In addition, students complete other written homework assignments which are sent to the instructor. Although there are no face-to-face meetings, students must take the final exam in a proctored environment. This class is ideal for students who like working on their own and desire the flexibility of working outside of traditional class times. A further description of the online course can be obtained through the corresponding links below to the course syllabus and the additional information handout.
Visit the ALEKS Site For a Free Trial
A link to the ALEKS website has also been provided on this page, so that you may visit the website, learn about ALEKS, and even take a free 24-hour trial that shows you how homework and tests are generated by the program. Once you reach the ALEKS website, click on the link that allows you to "Take the Tour." This should take you to an option that allows you to set up your free 24-hour trial. Students who have any interest in enrolling in a section of Math 095 that uses ALEKS are strongly encouraged to visit the ALEKS website and take the free trial. |
Math homework help - answers to math problems - hotmath, Math homework help. hotmath explains math textbook homework problems with step-by-step math answers for algebra, geometry, and calculus. online tutoring available for.
Clauses: the essential building-blocks - commnet, Dependent clauses. dependent clauses cannot stand by themselves and make good sense. they must be combined with an independent clause so that they become part of a.
Aplia :: engage. prepare. educate., Over 5,300 instructors at more than 1,700 institutions have used aplia.. |
0486421 Calculus and Analytic Geometry (Dover Books on Mathematics)
A self-contained text for an introductory course, this volume places strong emphasis on physical applications. Key elements of differential equations and linear algebra are introduced early and are consistently referenced, all theorems are proved using elementary methods, and numerous worked-out examples appear throughout. The highly readable text approaches calculus from the student's viewpoint and points out potential stumbling blocks before they develop. A collection of more than 1,600 problems ranges from exercise material to exploration of new points of theory many of the answers are found at the end of the book; some of them worked out fully so that the entire process can be followed. This well-organized, unified text is copiously illustrated, amply cross-referenced, and fully indexed. |
Find a Woodland Park, NJ PrecalculusThe laws of exponents are extended to the cases of zero, negative and fractional exponents. The idea of a function and its inverse is introduced. Extensive use is made of exponential and logarithmic functions, including graphing and solving equations |
Mathematics in Our World
"Mathematics in Our World" is designed for mathematics survey courses for non-science majors. The text covers a variety of topics designed to foster ...Show synopsis"Mathematics in Our World" is designed for mathematics survey courses for non-science majors. The text covers a variety of topics designed to foster interest in and show the applicability of mathematics. The book is written by our successful statistics author, Allan Bluman. His easy-going writing style and step-by-step approach make this text very readable and accessible to lower-level students. The text contains many pedagogical features designed to both aid the student and instill a sense that mathematics is not just adding and subtracting73311820 GREAT shape! May have some minor physical...Very Good. 00733118 Mathematics in Our World with MathZone. This book is in...Good. Mathematics in Our World with MathZone. This book is in Good condition. Buy with confidence. We ship from multiple location.
Description:Good. 0073311820 USED BOOK in good condition| No supplements|...Good. 0073311820Reviews of Mathematics in Our World
This book was in terrific condition and came sooner than expected for my husband's college course. Even better, the book is the teacher's edition and had some great helps for those of you who are rusty on math procedures for different real-world applications.
If you need tyo brush up your math skills in any way, this is the book for it, especially if you get the teacher's |
Product Description
Review
"Every prospective teacher should read it. In particular, graduate students will find it invaluable. The traditional mathematics professor who reads a paper before one of the Mathematical Societies might also learn something from the book: 'He writes a, he says b, he means c; but it should be d.' "--E. T. Bell, Mathematical Monthly
"[This] elementary textbook on heuristic reasoning, shows anew how keen its author is on questions of method and the formulation of methodological principles. Exposition and illustrative material are of a disarmingly elementary character, but very carefully thought out and selected."--Herman Weyl, Mathematical Review
"I recommend it highly to any person who is seriously interested in finding out methods of solving problems, and who does not object to being entertained while he does it."--Scientific Monthly
"Any young person seeking a career in the sciences would do well to ponder this important contribution to the teacher's art."--A. C. Schaeffer, American Journal of Psychology
"Every mathematics student should experience and live this book"--Mathematics Magazine
Customer Reviews
The issue is that solving problems is not made interesting and fulfilling experience. This book beautifully explains the process of problem-solving. It starts from simple problems, lays down the fundamentals and leads to more complex problems. One of the gems is the simple formula: 1. Understand the problem 2. Devise a plan (seeing how various items connect 3. Carry out the plan 4. Look back at the completed solution, review and discuss it. It is also a good reference to teach kids how to approach problems. Buy it and it will be a very handy reference.
Polya prescribes different forms to approaching a problem through some guide questions that a solver should ask ("Is there a related problem"). The exposition is quite short, majority of the book is devoted to a glossary of heuristic terms which prove very helpful. Polya uses common problems in high school geometry to demonstrate his point which make it easily understandable. I'm glad I have discovered an excellent book on problem solving which would prove indispensable in my programming career. Other programming books mainly demonstrate features of an OS or a computer language but this book goes into the heart of the computer science which is problem solvingI got this book because I saw good reviews and heard that this was a classic...so I got it. This is the first book that I ever encountered that teaches problem-solving. Further more, it teaches it through the use of heuristics(noun: A commonsense rule (or set of rules) intended to increase the probability of solving some problem). Half of the book cantains what the author calls The Dictionary - which contains a large number of heuristics that a problem-solver can use in his attempt to dissolve a problem. The author also describes in the first few chapters of the book on how to go about solving problems. Really gave me a new perspective on problem solving...Can't wait to apply what I have learned. Buy it!(its cheap anyway...nothing to lose)
It's delightful to see this book is still in bookstores after 60 years, and I can still remember how much fun it was to read it 30 years ago. I came across it recently in a local bookstore, and after poring over it again, I was inspired to write a little review about it. The most important thing about the book is Polya's little heuristic method for breaking down math problems and guiding you thru the process of solving them. Try to visualize the problem as a whole. Diagram it at first, even if you don't have all the details. Just initially try to get the most important parts of the problem down. Then try to get some sense of the relationship of the parts to the whole. Then tackle each of the component parts. If you get stuck, ask yourself if you could approach it another way, what could be missing, and so on. To this end, the questions at the back of the book are worth their weight in gold. Polya's little heuristic and methods book is a timeless classic. This and Lancelot Hogben's "Mathematics for the Millions" have done more good for suffering math students than all the the dry textbooks put together that really don't teach you "how to solve it." |
Math Trek
04/01/05
The NECTAR Foundation's new Math Trek suite of products ( uses curriculum-based programs that cover the foundations of math for grades 1-12. These engaging programs feature sound, graphics, animation and music clips through interactive tutorials, problem-solving activities, assessment components and student tracking. The Macintosh- and Windows-compatible learning aids include a comprehensive teacher resource document with print support materials, as well as individual, group and culminating performance tasks that incorporate many skills into a meaningful context. The NECTAR Foundation also offers specialized programs for algebra I, calculus and trigonometry |
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including precalculus |
Math Competitions
A number of prestigious national and regional organizations have organized annual matches in which teams of undergraduate college students compete for prizes. These matches both encourage and recognize mathematical excellence.
The CUNY Math Challenge is a 3-month competition, running from February through May each year, and is open to all matriculated CUNY undergraduates (not just mathematics students). It consists of four rounds of problem solving, culminating in a 3-hour exam at the Graduate Center. Prizes range from $500 to $2500.
The Mathematical Contest in Modeling is sponsored by the Consortium on Mathematics and its Applications (COMAP). Each team is presented with two problems, one requiring discrete mathematics and the other continuous mathematics. Winners receive a bronze plaque and have their solution papers published in "The UMAP Journal".Mina Rees, Hunter College mathematician. The CUNY Graduate Center's library is named in her honor. |
This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines,... More > planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals.
The book also includes discussion of numerical methods: Newton's method for optimization, and the Monte Carlo method for evaluating multiple integrals. There is a section dealing with applications to probability. Appendices include a proof of the right-hand rule for the cross product, and a short tutorial on using Gnuplot for graphing functions of 2 variables.
There are 420 exercises in the book. Answers to selected exercises are included.< Less
This is a textbook for 4th quarter calculus covering the Vectors, Vector-Valued Functions, Functions of Several Variables, and Double Integrals. It has explanations, examples, worked solutions,... More >This is a textbook for 3rd quarter calculus covering the three main topics of (1) calculus with polar coordinates and parametric equations, (2) infinite series, and (3) vectors in 3D. It has... More > explanations, examples, worked solutions,A calculus companion book for Calculus I, II and III (3D Vector Calculus). Addressed to Science/Premed majors, not math majors. VERY unusual for its coverage of Calc III. Several chapters are... More > designed to work also as a Liberal Arts overview of calculus, although in general the book is more technical and practical than philosophical. This is the second edition which features changes to the problem sets and corrects typographical errors.< Less
The book deals in topics like Calculus, Analytic Geomety, Vector, Matrices, Determinant, differential equation, central forces, coordinate geometry, 3D geometry, etc. for +2 level in CBSE, ICSE CHSE... More > and other boards, councils of secondary education in India and equivalent courses elsewhere. This is also helpful in preparation for IITJEE and other entrance exams appendix explaining the use and calibration of the Vernier equipment, video capture and analysis, statistical error analysis, the use of spreadsheets in data analysis,
and the use of the vernier caliper.< Less |
How do you effectively study mathematics? How does one read a maths book instead or just staring at it for hours?
(Apologies in advance if the question is ill-posed or too subjective in its current ...
This sort of question is probably in bad taste for math.stackexchange, but is probably in high demand. (I tried to start a site on Area 51 to house questions like this, but my request was closed due ...
I'm hoping the userbase here doesn't mind if I do a little crowd-sourcing.
I'm curious to find out about popular general-interest mathematics or statistics classes that are offered universities that ...
I'm a undergraduate who wishes to learn category theory but I only have basic knowledge of linear algebra and set theory, I've also had a short course on number theory which used some basic concepts ...
With a few colleagues, we're trying to design an (intermediate) algebra course (US terminology) where we stress the interplay between algebra and geometry. The algebraic topics we would like to cover ...
This is a tall order, but since this site is for everything mathematical, here goes:
What are some nice games/puzzles/problems/problem-like activities that would be appropriate for a three-five year ...
It is well known that one of the first books Ramanujan studied was "Synopsis of Pure and Applied Mathematics" and that it shaped the way Ramanujan thought and wrote about mathematics. Being interested ...
I throw two coins (simultaneously). A student (very much a beginner in both math and probability theory) thought that the following 3 outcomes are equally likely: "two heads", "two tails", "a head and ...
The Mathematical Contest in Modeling (MCM) is coming up in a couple of weeks. With the idea that the competition is ultimately about teaching students to become better at mathematical modeling, I was ...
What are some great math social activities for students? I'm looking for things that bring people together with a "light" mathematical touch. The goal is to create a stronger mathematical community in ...
I'm searching for some good reading material on multifractal analysis. Preferably something accessible that doesn't put the stress too much on mathematical proofs but rather on applications. As long ...
I am studying for the GRE Mathematics subject exam [1]. I am looking for tips regarding how to more effectively study for it. Does anyone know of any good study materials or have any tips in general?
...
We would like to generate simple mathematical formulas on the fly (e.g. $\sin^2 \theta$). The above function seems to be a MathJaX representation. Most of the solutions depend on writing mathematical ...
So, I am a graduate student who is certain that he does not want to do analysis (I think...). What are the most exciting fields in mathematics right now? It seems to me that very generally, they are ...
I wanted to ask these questions here, feeling that this place place is without doubt is better than anywhere else, feeling hesitant and shy to ask such question.
For several reasons, the environment ...
I am an ESL learner and most of the time I am able to understand English but In my courses, we don't study mathematics, and I think that it is a mistake or wrong.
1-What are really the best sources ...
I am currently a mathematics graduate student at Western Kentucky University in Bowling Green, KY. I am looking for some kind of summer opportunity to participate in during summer 2011.
Does anyone ...
YARFMO (Yet another reposting from Mathoverflow) ;-)
The more you know about math the more you find conceptions previously thought correct to be false:
1.) math is not as exact as many believe - in
As it is required for most students who wish to do a Ph.D in maths in the US to sit the GRE subject specific mathematics exam, I hope this question will be of interest to the mathematical community
Frequently, we introduce a new concept with a formal definition, then immediately say "Intuitively, what this means is..." What are the absolute best metaphors you've seen (for concepts of any level)?
...
I am tutoring several talented students, middle school level and early high school level, in mathematics. I am always looking for new sources from which to draw questions. Can anyone recommend books, ...
I was wondering if anyone had any experience with an undergraduate course that emphasized the building of mathematical theories or if they'd ever heard of this being done? How did the class work (did ...
I like to use physical demonstrations when teaching mathematics (putting physics in the service of mathematics, for once, instead of the other way around), and it'd be great to get some more ideas to ... |
04712770, Volume 1, Handbook of Applicable Mathematics
The main thrust is to provide up-to-date and easily accessible information about the practical aspects of all mathematics and is specifically addressed to users of mathematics who are not professional mathematicians. The work is comprehensive in that all mathematical topics, which are actually being used or are considered valuable for further developments, are covered. The editors and publishers have gone to great lengths to ensure that no branch of mathematics is omitted which is useful and, conversely, that none is included which is not |
Beginning and Intermediate Algebra - 6th edition
Summary: The new edition of BEGINNING & INTERMEDIATE ALGEBRA is an exciting and innovative revision that takes an already successful book and makes it more compelling for today's users. The new edition has been thoroughly updated with a new interior design and other pedagogical features that make the book both easier to read and easier to use. Known for its clear writing and an engaging, accessible approach that makes algebra relevant, BEGINNING & INTERMEDIATE ALGEBRA helps users to develop p...show moreroblem-solving skills and strategies that they can use in their everyday lives. The new edition welcomes two new co-authors Rosemary Karr and Marilyn Massey who along with David Gustafson have developed a learning plan to help users succeed in Beginning Algebra and transition to the next level in their coursework 6th Edition Not perfect, but still usable for class. Ships same or next day. Expedited shipping takes 2-3 business days; standard shipping takes 4-14 busines...show mores days. ...show less
$23.98 +$3.99 s/h
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This Site offers a wealth of information regarding the abacus including its history, several articles, how it is used and...
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This Site offers a wealth of information regarding the abacus including its history, several articles, how it is used and many illustrations. One of these articles is on how an abacus beat a calculator in doing several calculations in a very important duel between a Japanese Postal worker and an American accountant, Wow! The Site also offers links to different examples of abaci from different countries and cultures. I give this site an excellent rating because I offers a wealth of information and I found some of its articles interesting, particularly the one comparing the abacus to the calculator. It's very complete in the subject of the Abacus.
This is a resource that can be used in conjunction with an Abstract Algebra class. It contains definitions and theorems...
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This is a resource that can be used in conjunction with an Abstract Algebra class. It contains definitions and theorems regarding abstract algebra. Included is a Table of Contents that lists the topics such as Integers, Functions, Groups, Polynomials, Galois Theory, Unique Factorization, etc. There is also a link to an online study guide for the topic.
The Against All Odds video series provides an extensive introduction to statistics. It consists of 26 half hour video...
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The Against All Odds video series provides an extensive introduction to statistics. It consists of 26 half hour video episodes that include lecturing on statistical topics, animations of statistical topics and video of real world examples. The series is available online or can be purchased on VHS video tape. The statistical material in the series was supervised by Dr. David Moore and accordingly much of the material echos the language used in Moore's textbooks. Topics covered include most topics from an introductory statistics course and slightly more advanced topics such as seasonal variation, blocking of experimental designs and even Chernof faces. The material is very well suited for students in undergraduate statistics classes.
Visually searchable database of algebra 1 videos. Click on a problem to see the solution worked out on YouTube. The...
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Visually searchable database of algebra 1 videos. Click on a problem to see the solution worked out on YouTube. The solutions are meant to accompany the free and open textbook Elementary Algebra that can be found on the flat world knowledge website.
Visually searchable collection of algebra 2 videos. Click on a problem to see the solution worked out on YouTube. These...
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Visually searchable collection of algebra 2 videos. Click on a problem to see the solution worked out on YouTube. These videos are meant to accompany the free and open textbook Intermediate Algebra that can be found on the flat world knowledge website.
A video instructional series on algebra for college and high school classrooms and adult learners; 26 half-hour video...
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A video instructional series on algebra for college and high school classrooms and adult learners; 26 half-hour video programs and coordinated books In this series, host Sol Garfunkel explains how algebra is used for solving real-world problems and clearly explains concepts that may baffle many students. Graphic illustrations and on-location examples help students connect mathematics to daily life. The series also has applications in geometry and calculus instruction. |
7 - 9+ and grades 4th - 9thIncludes graphing and identifying parallel and perpendicular lines and moreTeacher - created activities includedEachMcDonald Publishing® Graphing Slope & Linear Equations Repro Book, Grades 4th - 9thAge group and grade: Ages 7 - 9+ and grades 4th - 9thIncludes graphing and identifying parallel and perpendicular lines and moreTeacher - created activities includedMcDonald Publishing® Graphing Slope & Linear Equations Repro Book, Grades 4th - 9th9.89USD
PRODUCT DETAILS
Graphing slope & linear equations repro book with skills addressed include working with slope, writing equations in various forms, identifying intercepts, and using tables and intercepts to graph equations.
Age group and grade: Ages 7 - 9+ and grades 4th - 9th
Includes graphing and identifying parallel and perpendicular lines and more
Teacher - created activities included
Skills addressed include working with slope, writing equations in various forms, identifying intercepts, and using tables and intercepts to graph equations |
Intermediate Algebra - Student Solution Manual - 8th edition
Summary: Go beyond the answers--see what it takes to get there and improve your grade! This manual provides worked-out, step-by-step solutions to the odd-numbered problems in the text. This gives you the information you need to truly understand how these problems are solved |
More About
This Textbook
Overview
ALEKS is an artificial intelligence-based system for individualized math learning, available for Higher Education from McGraw-Hill over the World Wide Web.
ALEKS delivers precise assessments of your math knowledge, guides you in the selection of appropriate new study material, and records your progress toward mastery of goals.
ALEKS interacts with you much as a skilled human tutor would, moving between explanation and practice as needed, correcting and analyzing errors, defining terms and changing topics on request. By accurately assessing your knowledge, ALEKS focus clearly on what you are ready to learn next, helping you master the course content more quickly |
Specifically designed to meet the needs of high school students, REA's High School Pre-Algebra Tutor presents hundreds of solved problems with step-by-step and detailed solutions. Almost any imaginable problem that might be assigned for homework or given on an exam is covered. Builds problem-solving skills and a strong foundation for studying more advanced math topics. Valuable for students who are already studying algebra but are having difficulty with the basic concepts. The following topics are covered: integers, fractions, decimals, ratio sand proportions, percents, roots and exponents, algebraic equations, inequalities, word problems, plotting graphs, and geometry. Fully indexed for locating specific problems rapidly. |
A Friendly Introduction to Number Theory, Fourth Edition is designed to introduce readers to the overall themes and methodology of mathematics through the detailed study of one particular facet—number theory. Starting with nothing more than basic high school algebra, readers… |
Mathematical and Analogical Reasoning of Young Learners [NOOK Book]
Overview
Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics and
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Overview
Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics |
have worked in this field and its applications. Also I have taken two specific courses related to this subject, knowing the basic laws of matrix algebra as they are: associative in addition and multiplication, commutative, distributive right and left, matrix addition, multiplication. Also dea... |
Real-World Problems with Variable Expressions and the Order of Operations
Teacher Contributed
Real-World Problems with Variable Expressions and the Order of Operations
Develop understanding of concepts by studying them in a relational manner. Analyze and refine the concept by summarizing the main idea, creating visual aids, and generating questions and comments using a Four Square Concept Matrix. |
Provides an introduction to the development of numbers and their applications. This book includes material with more challenging ideas about infinity and complex numbers and offers examples ranging from recreational puzzles to very real world scenarios. It is for those who are curious about the mathematics behind real-life questions. more...
Made of two mutually explanatory parts, this book provides information on the general, historical and cultural background, and the development of each subdiscipline that together comprise Chinese mathematics. It is organised topically rather than chronologically, and tells how to interpret the contextual setting, both mathematical and sinologicalThe book analyzes the mathematical tablets from the private collection of Martin Schoyen. It includes analyses of tablets which have never been studied before. This provides new insight into Babylonian understanding of sophisticated mathematical objects. The book is carefully written and organized. The tablets are classified according to mathematical... more...
Dirac operators are used in physics, differential geometry, and group-theoretic settings. Using Dirac operators as a unifying theme, this work demonstrates how some of the important results in representation theory fit together when viewed from this perspective. It presents the important ideas on Dirac operators and Dirac cohomology. more...
This book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Each chapter will focus on a particular topic and outline its history with the provision of facsimiles of primary source material along with explanatory notes and modern interpretations. - ;Aimed at students and researchers in Mathematics, History... more...
Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices... more... |
Discrete Mathematics Help
Discrete Mathematics is also called finite Mathematics or Decision Mathematics. It is the study of Mathematical structures that are fundamentally discrete in the sense of not supporting or requiring the notion of continuity. Objects studied in finite mathematics are largely countable sets such as integers, finite graphs, and formal languages. It has become popular in recent decades due to its application in Computer Science. It is used in software developments, cryptography, programming language, etc. It covers set theory, graph theory, logic, permutation and combination, etc.
Get discrete math help here and enhance your knowledge in mathematics. Students can join our online tutoring programs and get required help from an expert tutor anytime.
Learn basics of discrete math and for that, get online help anytime by staying at home. Our personalized and one-on-one tutoring sessions are quite useful for students. Our tutors undergo extensive training and keep themselves abreast with the current requirements measured by the educational boards. Moreover, we follow same textbooks to maintain the same academic standard offered by the educational boards. Moreover, our online sessions are well-organized, relevant to topics and worthwhile for students in all manners. Experience this mathematics help today.
Discrete Math Online Tutoring
Through online tutoring and homework help, offered by TutorVista, students can improve their grades and boost up their confidence. We help you to solve problems based on Set theory, Graph theory, Number theory, Logic, Permutations and Combinations in an easy manner. Our online tutors have expertise in these respective topics. The topics included in the study of discrete math are given below.
Set Theory: Set is define as the collection of objects, which are arranged in a group. The set of numbers or objects can be denoted in the symbol braces {}. For example, the set of first 4 even numbers is {2,4,6,8}.
Graph Theory:It is the study of the graph. Graph is a mathematical structure, which contains a set points.
Logic: Logic in mathematics can be define as reasoning. There are basically three types of logic gates, AND($\wedge$), NOT(~), and OR($\vee$)
Permutations: The different arrangements that can be made with a given number of things taking some or all of them at a time are called permutations. Order does matter for the permutation. For example, first, second, third, etc.
Combinations: The selection of a number of things taking some or all of them at a time are called combinations. Order does not matter for the combination.
Sequence: A set of numbers arranged in a definite order according to some definite rule is called a sequence. A sequence is a function whose domain is the set N of natural numbers.
Series: Indicated sum of the terms in a sequence is called a series. The result of performing the additions is the sum of the series.
You can also get solved problems, answers and worksheets from TutorVista. Make learning Discrete Mathematics easy by choosing tutoring sessions with TutorVista.
Discrete Math Problems
Question: In how many ways can 6 men and 5 women be seated in a line so that no two women sit together?
Answer: Let the women be denoted by W and the men be denoted by M.
Now the women can sit at the places marked by '.' . We have seven places for 5 women. The women can sit in 7P5 ways. Also 6 men can be arranged in 6! ways.
Question: 2012 was a leap year. create a truth table for negation.
Solution: 2012 was not a leap
Truth table for NOT
Input p
Output $\widetilde{p}$
T
F
F
T
Question: In how many ways can three prizes be distributed among 4 boys when
i) No one gets more than one prize. ii) A boy can get any number of prizes.
Answer: i) The first prize can be given in 4 ways as one cannot get more than one prize, the remaining two prizes can be given in 3 and 2 ways respectively. The total number of ways = 4 x 3 x 2 = 24.
ii) As there is no restriction, each prize can be given in 4 ways. The total number of ways = 43 = 64.
Question: From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be done?
Answer: We are to select 4 students from 32. This selection can done in
Question: A sports team of 11 students is to be constituted choosing at least 5 from class XI and 5 at least from XII. If there are 20 students in each of these classes, in how many ways can the team be constituted?
Answer: Number of students in each class is 20.
Total number of selections = 2 x 600935040 = 1201870080
Question: Given five different green dyes, four different blue dyes and three different red dyes, how many combinations of dyes can be chosen taking at least one green and one blue dye?
Answer: The least number of dyes that a combination can have is 2. (one blue and one green).
Maximum number of dyes that a combination can have is 12 (5G, 4B, 6R).
At least one green dye can be selected out of 5 green dyes. The number of ways is
After selecting one or more green dyes, we can select at least one blue dye out of 4 different blue dyes. The number of ways is
After selecting at least one green dye and at least one blue dye, at least one red dye or no red dye can be selected in = 1 + 3 + 3 + 1 = 8 ways
The total number of combinations (31)(15)(8) = 3720.
Question: A letter lock consists of three rings, each marked with fifteen different letters. Find in how many ways it is possible to make an unsuccessful attempt to open the lock.
Answer: 1st ring can be attempted in 15 ways. 1st and 2nd ring can be attempted in 15 x 15 = 152 ways 1st and 2nd and 3d ring can be attempted in 15 x 15 x 15 = 153 ways Among these 153 attempts, one attempt will be a successful attempt. Hence the number of unsuccessful attempts is 153-1= 3375 -1 = 3374
Question: Find the sum of all four digit numbers formed by using 2, 3, 6, 9 in which no digit is repeated.
Answer: If 2 occupies unit's place, the remaining 3 digits can be arranged in 3!= 6ways. Similarly, if 2 occupies ten's place, hundred's place, thousand's place, in each of these cases we get 3! numbers. Thus, the positional value contributed by 2 to the sum when it occupies different values is |
Intermediate Algebra-Student Support Edition - 4th edition
Summary: Designed under...show morestand the content.
The
New! An extensive student support section, Your Guide to Success in Algebra, contains all the tools the student needs to succeed in the course. Your Guide to Academic Success includes a review of math study skills, learning styles, test-taking strategies, time management tips, unique study strategies, course progress tracker, and comprehensive guides to using the textbook and study aids effectively. Your Guide to the Chapters includes progress trackers that outline each chapter's topics and learning objectives, along with a checklist of all the study aids available for that chapter.
New! HM Testing (Powered by Diploma) provides instructors with wide array of algorithmic test items, and improved functionality and ease of use, including the ability to author and edit algorithmic questions.
New! Eduspace Houghton Mifflin's Online Learning Tool (powered by Blackboard), now includes enhanced algorithmic exercises which are supported by a new math symbol palette for inputting free-response answers and are closely correlated to the end of section/chapter exercises. It also includes HM Assess, a new online diagnostic assessment and remediation program that tests the student's understanding of core concepts and develops individual study paths for self-remediation |
True but most history is also just that history, set in stone, fact. You are right that the opinion on that does change a little because we don't exactly know everything that went on then but I know that math like his Algebra book is changing in the same way as national organizations are always trying to find what is the best way to do math or whatever topic you are in. I have also heard many good arguments for why math textbooks are and should be updated more than history books (most from math teachers but still good reasons). The hard thing I think for most schools is the cost of updating 100 books is a couple 100 dollars a piece so you could spend 2000-3000 dollars on one class not even the entire history section but just government or just algebra I
I find that it's the opposite way around. There is rarely any piece of history that can be set in stone, whereas almost the entirety of mathematics will never change because most of the theorems and axioms taught are generally accepted as fact. This is the same reason I prefer math over history - it's far more static, so when you learn something, you almost never need to go back and revise your knowledge on it. We're always uncovering new things about history, though, and we're always changing the way we interpret it. For example, consider a theoretical textbook that has a chapter detailing US involvement in the Middle East in the late 20th century. The first edition of this book was published before the September 11th attacks, and praises the theocratic rebel leaders in the area for standing up against the Soviets, and for being leaders of a new democracy in the area. Obviously, after the September 11th attacks, such leaders were no longer seen that way. So what do the authors do? They create a new edition of the textbook detailing the history as the United States fighting the Soviet Union but failing to predict the outcome of letting the rebel groups take power in the area. Math, on the other hand, does not face such changes that often. Algebra II and Geometry are especially areas that do not need to be revised - much of those classes are based around concepts will likely never change, and the methods to solve problems involving those concepts are also unlikely to change. I'm not sure what level of math you've taken, so I'll assume at least Algebra II. Consider a problem involving the properties of logarithms. Say you're asked to simplify log(2x3 )+log(6x). Using the properties of logarithms, you would get log(12x4 ), and then 4log(12x). There really are no alternate ways to solve such a problem, so such a concept will never be change. Nor would properties of exponents, matrices, or polynomials. Math teachers often want new books because math students for some reason are very good at destroying the books. However, I've not met a math teacher that is always complaining for a new edition, just new books to replace the 8 year old books that are missing 20 pages and half a cover. |
bought this book to accompany Strang's online lectures from the MIT open courseware series, which I am completing as an independent study. The lectures are great--Strang is engaging and easy to understand. The book--not so much. It doesn't explain concepts fully and jumps through examples without explaining the steps |
The trigonometry portion presents many new and difficult concepts, but the algebra portion takes everything from Algebra II deeper making everything very complex and solving problems you don't really see any reason to solve. In truth, the main objective is to solidify your Algebra skills. Most of the problems that are presented are much more easily solved in Calculus next year. |
Applied Mathematics
The subject of mathematics is related to almost all the other subjects. The advancement in the fields of engineering, science, economics statistics etc. are facilitated by use of mathematics. In other words, the application of mathematics helps in development and easier understanding of topics in other subjects. The branch of mathematics that is used for such a purpose is called as applied mathematics. It may be noted that in this branch of math, the important terms and constants used in the other topics also form as parts.
A car leaves an airport at 8 am and runs at an average velocity 45 mph. At 9 am another car leaves the same airport in the same direction and it has to meet the first car before noon. What should be the minimum average velocity with which the second car should run to achieve the necessity?
The situation described in the above physics problem is not very unusual. A person traveling in the first car might have left out something and his friend at the airport may like to reach that article. And by noon, the first person might reach his destination and may not be reachable thereafter. Let us see how applied mathematics helps us to solve. The velocity refers to the rate of change of distance with respect to time. Hence the distance traveled by the first car in the 4 hours (from 8 am to noon) is given by the mathematical equation d1 = v1* t1 = 45*4 = 180 miles, since we know that v1 = 45 mph and t1 = 4 hours. The concept of applied math is same for the second car but now the equation is d2 = v2* t2. But in this case the known values are d2 = 180 miles, since at the point of interception both cars must have traveled the same distance and out of necessity the maximum value of t2 can only be 3 hours (from 9 am to noon). Therefore, 180 = v2*3, which gives the solution as v2 = 60 mph.
Let us study another problem related to physics but which can be considered as an applied mathematics. Two wires of ½ in. diameter are anchored at a ceiling roof as shown in the diagram. These wires are riveted to a hook which is used to hold heavy weights. The wires make angles of 45o and 60o with the ceiling. The wires have an ultimate tensile strength of 16T per sq.in. What could be the maximum weight that can be loaded on the hook?
The concept of this problem is used in material lifting equipment. Ultimate tensile strength of 16T/ sq.in. means the wire can take a load of only 16T for a cross section area of 1 in. Since the diameter of the wires are ½ in. each wire can take only a load of 16(π/4)(1/2)2 = π tons ≈ 3.14 tons. Now mathematically we can draw a vector diagram and find the solution. The same is drawn below.
The wires on the left and right take the loads that are the projection of the main load W in the direction of wires. Let those components be P and Q respectively. As per vector algebra, P = (√2)W/2 and Q = (√3)W/2. Obviously the magnitude of Q is greater and therefore it must be equal to 3.14T. Hence W can be equal to a maximum of 3.14/0.866 = 3.63T approximately.
The concept of matrices is widely used in statistical fields. We will give an introduction to matrices in our next topic.
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Unless and until we apply our book knowledge into practical world we found it useless and uninteresting. If we are taught to learn things not just for reading books and solving mathematical problems but also by incorporating these ideas in to real life situations, the interest will develop.
I never analyzed this concept of applied mathematics, It seems really great. Can that be applied to trigonometric problem solving too. I think this has much of application on work and energy concept of physics where a stress and strain calculation for a particular object or a bridge needs to be calculated. Hope I am right!! |
Texas Instruments' graphing calculators are very popular among students in
high school, junior high school, and college. This is especially true in the
United States, where they are practically the standard for math courses in the
higher grades. TI's models range from inexpensive calculators with basic
functionality to sophisticated calculators suitable for use throughout
college-level math courses and beyond.
Playing a large part in their popularity is the fact that TI's graphing
calculators can be programmed in a language closely resembling BASIC and, in
many cases, in low-level assembly language. On calculators with link ports,
these programs can be copied to other calculators of the same type. Many
students learn to program on these calculators and eventually move up to
computer programming.
Each available model has a different combination of capabilities, memory
capacity, programmability, and price. See below for descriptions of each
individual calculator.
CURRENT MODELS
Click on a model's name for a picture and detailed information on that
calculator.
» TI-84 Plus C Silver Edition (2013)
The TI-84 Plus C Silver Edition is based on the original TI-84 Plus Silver Edition, with a new backlit color display added and software enhancements to take advantage of it, such as highlighting different functions on a graph in different colors for easier comprehension. It also replaces the conventional AAA cells with a rechargeable battery pack.
» TI-Nspire CX & TI-Nspire CX CAS (2011)
The TI-Nspire CX is the most recent evolutionary step. Almost resembling a smartphone, it is the first TI calculator to sport a backlit, color LCD, as well as featuring a removable Wi-Fi module and a rechargeable lithium-ion battery. RAM and storage memory are increased to 64 MB and 100 MB, respectively. The CX no longer features TI-84 Plus keypad support, but it otherwise maintains the features of the earlier Nspire models.
» TI-Nspire (2007)
The TI-Nspire is a significant departure from previous graphing calculators with its grayscale screen and PDA-like appearance. It uses an ARM processor and features 16 MB of RAM and 20 MB of storage space. With the exception of a TI-84 Plus emulation mode, is not compatible with any of TI's previous calculators. When originally released, it completely lacked programming capability. This was incrementally improved with new OS revisions over the next few years, and currently, development in TI-BASIC, Lua, and ASM/C is possible.
» TI-Nspire CAS (2007)
The TI-Nspire CAS is the brother of the TI-Nspire. It is intended to be TI's new flagship
graphing calculator with all of the features of the TI-Nspire plus the inclusion of a
Computer Algebra System. Unlike the TI-Nspire, the Nspire CAS does not support the TI-84
Plus keypad and so no backwards compatibility exists with the 84 Plus.
» TI-89 Titanium (2004)
The TI-89 Titanium includes all the built-in functionality and power of the original
TI-89. It has an increased amount of Flash ROM which is now equal to that of the Voyage 200 except the TI-89 Titanium is in a traditional handheld design. Along with the Voyage 200, it is TI's most sophisticated calculator, with such features as 3D graphing, upgradable flash ROM, built-in assembly language programming, and a generous amount of user-available memory. It now includes a mini USB port in addition to the standard I/O port.
» TI-84 Plus Silver Edition (2004)
The TI-84 Plus Silver Edition is the successor to the TI-83 Plus Silver Edition. Its new
features
include a new built-in clock and a new mini USB link port in addition to the standard I/O
port. The TI-84 Plus SE was the first calculator made by TI to include their new interchangeable faceplates and a kickstand, both of which add to the overall latest stylistic design from TI.
» TI-84 Plus (2004)
The TI-84 Plus is an upgrade to the TI-83 Plus. It remains completely compatible with
the TI-83 Plus. Its features include a new built-in clock, a new mini USB link port
in addition to the standard I/O port, added clock speed over the TI-83 Plus
and an increase in Flash ROM size. The TI-84 Plus has a newly designed case.
» Voyage 200 PLT (2002)
The Voyage 200 PLT was the most advanced calculator Texas Instruments made prior to the introduction of the TI-Nspire. It keeps all of
the qualities of the 92+ while increasing the amount of Flash ROM to 2.7 MB. It also
comes in the latest stylistic case from TI.
» TI-83 Plus (1999)
The TI-83 Plus is nearly identical to the TI-83, maintaining backward
compatibility but greatly increasing available memory and allowing for
flash-upgradable ROM and commercial calculator-based applications. This model is the "base model" of the highly popular 83/84 Plus series.
» TI-73 & TI-73 Explorer (1998)
The TI-73, like the older TI-80, is designed for middle school classes, but
features flash-upgradable ROM like the rest of TI's newest calculators. It
also improves upon the TI-80 with additional statistics functions and a link
port for transferring programs and other data.
DISCONTINUED MODELS
Click on a model's name for a picture and detailed information on that
calculator.
» TI-83 Plus Silver Edition (2001)
The TI-83 Plus SE is nearly identical to the TI-83 Plus, maintaining backwards compatibility but greatly increasing available memory. Like the 83 Plus, it allows for flash-upgradable ROM and calculator-based applications. It was the most popular among Texas Instruments Z80 calculators, but TI has now discontinued it in favor of the TI-84 Plus and TI-84 Plus Silver Edition.
» TI-92 Plus (1998, 1999)
The TI-92 Plus was available as both a standalone calculator and a module
upgrade to the TI-92. It added additional memory, flash-upgradable ROM, and
advanced mathematics software. A TI-92 Plus is functionally almost identical
to a TI-89. The Voyage 200 has since replaced the TI-92 Plus, since it offers additional features.
» TI-89 (1998)
The TI-89 sported all of the power of a TI-92 Plus, but in a traditional
handheld design. Along with the TI-92 Plus and Voyage 200 it was one of TI's most sophisticated
calculators, with such features as 3D graphing, upgradable flash ROM, built-in
assembly language programming, and a generous amount of user-available memory. The TI-89 Titanium has since replaced this model.
» TI-86 (1997)
Just as the TI-83 succeeded the TI-82, the TI-86 followed up on the TI-85's
advanced functionality while adding a stylish new case, assembly support
similar to that of the TI-83, and greater memory capacity, while still
maintaining compatibility with TI-85 programs.
» TI-83 (1996)
The TI-83 was released as the successor to the TI-82 and featured a newer,
more contoured case design that has since been used on all of TI's newer
calculators. The TI-83 features backwards compatibility with TI-82 programs
and some newer financial functions, but by far the most notable aspect of this
calculator is built-in assembly programming capability supported by TI
itself. This advance saved curious programmers the trouble of "hacking" the
calculator themselves to achieve this functionality, and marked the beginning
of TI's embracement of assembly programming. The TI-83 was a popular programming platform, but has now been replaced by the TI-83 Plus, an updated model.
» TI-92 (1995)
When it was released, the TI-92 was a huge departure from TI's previous
graphing calculators. It is held horizontally and has a larger display,
computer-style QWERTY keyboard, graphical user interface, 3D graphing
features, and a Motorola 68000 processor (previous TI calculators relied on
slower Z80 processors). Programmers were anxious to make use of the TI-92 for
efficient assembly programming, and a loophole was eventually discovered to
make this possible. As a result, many impressive games and programs are now
available for the TI-92. Unfortunately the TI-92 is rarely used nowadays, having been replaced by the TI-92 Plus (and later the Voyage 200).
» TI-80 (1995)
The TI-80 was released with Algebra I and middle school students in mind. Like
the TI-81, it has no link port and is not intended for serious programming.
The TI-80's newer cousin, the TI-73, sports flash upgradability and more
memory, and has completely replaced the TI-80 in everyday use.
» TI-82 (1993)
The TI-82 was released as a more user-friendly version of the TI-85, at the
sacrifice of many of its advanced features, but with a lower price tag. It
was long believed that the TI-82 could not be programmed in assembly, but, as
with the TI-85, a loophole was eventually found, making the TI-82 a much more
attractive programming platform. The TI-83 Plus and TI-84 Plus have taken the place
of the TI-82 as the standard in math and science classrooms and the TI-82 has been discontinued.
» TI-85 (1992)
The TI-85 was designed as a powerful engineering and calculus calculator. It
was the first TI calculator to have a link port and assembly programming
capability (through an unintentional loophole). It has since been eclipsed by
the TI-86, which features TI-85 compatibility along with more advanced
features.
» TI-81 (1990)
The TI-81, TI's first graphing calculator, was designed for algebra and
precalculus. It has since been replaced by newer models which have faster
processors, more memory, and popular features such as linking capability and
flash upgradability. The TI-81 drew little in the way of third-party games
and other programs, since the code must be typed into the calculator by hand.
CHOOSING WHICH MODEL TO BUY
There's a wide variety of TI graphing calculator models you can choose from --
which is right for you? Texas Instruments tends to create calculator models
for a target area of students in certain grade levels. See below for an
overview of who will benefit the most from each currently offered model.
The TI-73 is intended for middle school students
in basic algebra classes. It performs many basic arithmetic and graphing
functions. However, we only recommend the TI-73 if price is an absolute concern and the calculator will be used only for elementary mathematics. For slightly more expense, the TI-83 Plus will be a far superior buy.
The TI-83 Plus is intended for most high
school students. It has many enhanced features in addition to those of the TI-82 and 83. This calculator makes an excellent first choice for the average student. The TI-84 Plus has more available RAM and a faster processor than the TI-83 Plus.
The TI-84 Plus and TI-84 Plus SE are esentially a TI-83 Plus with a few more features, including a clock, USB port, and additional speed and memory. Designed for high school students, these two calculators are for the users wanting to get as much out of their calculator as possible. If you are looking for a calculator based solely on its math capabilities, the TI-83 Plus will do as much as the TI-84 series will at a cheaper price. However, if you can afford the added cost of the TI-84 series, it will provide a better value than the TI-83 Plus.
The TI-89 Titanium and its QWERTY-equipped brother, the Voyage 200 PLT, are among the most advanced Texas Instruments calculators on
the market. The Voyage 200 PLT is a TI-92+ in a fancy new case with a significant increase in available Flash ROM, and is at the top of the line. If you need the utmost mathematical horsepower, pick up any of these.
The TI-89 Titanium offers largely the same mathematical capabilities as the TI-89, so there is no major advantage there. However, there is much more available Flash ROM. The regular TI-89 is suggested for gamers because not all of the current programs work on the Titanium, although the situation is improving. However the Titanium has several other features, including a USB port, which makes it much more friendly to the average user. The Titanium is essentially a Voyage 200 PLT but without the QWERTY keyboard. The Titanium has replaced the regular 89 for sale in many stores.
The TI-Nspire and TI-Nspire CX exist as both CAS (Computer Algebra System) and non-CAS models. As of 2011, these models are still quite new and are drastically different from any prior calculators. It remains to be seen how well they are adopted. We recommend that average students stick to the other models above until the long-term success of the TI-Nspire is proven.
With this information at your fingertips, we hope that purchasing a calculator
will be easier for you. By knowing background information on every Texas
Instruments graphing calculator you can make a more informed decision. It's
recommended to read up on the features of the calculator(s) you've got your eye
on before purchasing just to make sure you're getting what you need. |
Mathematics Unfolding the Path to the Unified Field — the Most Fundamental Field of Natural Law
Set
theory provides a unified foundation for the diverse theories of modern
mathematics based upon the single concept of a set. Topics include
axioms of set theory, ordinals, transfinite induction, the universe of
sets, cardinal arithmetic, large cardinals, and independence results. (4
credits) Prerequisite: MATH 370 |
Logic for Mathematicians
9780521292917
ISBN:
0521292913
Publisher: Cambridge University Press
Summary: Intended for logicians and mathematicians, this text is based on Dr. Hamilton's lectures to third and fourth year undergraduates in mathematics at the University of Stirling. With a prerequisite of first year mathematics, the author introduces students and professional mathematicians to the techniques and principal results of mathematical logic. In presenting the subject matter without bias towards particular aspects..., applications or developments, it is placed in the context of mathematics. To emphasize the level, the text progresses from informal discussion to the precise description and use of formal mathmematical and logical systems. The revision of this very successful textbook includes new sections on skolemization and the application of well-formed formulae to logic programming; numerous corrections have been made and extra exercises added.
Hamilton, A. G. is the author of Logic for Mathematicians, published under ISBN 9780521292917 and 0521292913. Ten Logic for Mathematicians textbooks are available for sale on ValoreBooks.com, nine used from the cheapest price of $0.01, or buy new starting at $141.02 |
Advanced Modern Engineering Mathematics
Building on the foundations laid in the companion text Modern Engineering Mathematics, this book gives an extensive treatment of some of the advanced ...Show synopsisBuilding on the foundations laid in the companion text Modern Engineering Mathematics, this book gives an extensive treatment of some of the advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design. The philosophy of learning by doing helps students develop the ability to use mathematics with understanding to solve engineering problems. A wealth of engineering examples and the integration of MATLAB and MAPLE further support students Building on the foundations laid in the companion text...New. Building on the foundations laid in the companion text Modern Engineering Mathematics 3e, this book gives an extensive treatment of some of the advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design. Printed Pages: 972 Advanced Modern Engineering Mathematics
The series make learning engineering maths simpler. Unfortunately there are little questions with answers within this book. Its the "new teaching method," where nothing can be known, unless your the lecturer with the answers booklet.
Still it is a great series, worth it as it covers many fields of mathematic study relevant for engineers. Fourier transforms, vectors, statistics, ect. Please find a chapter index and see for yourself.
***Remember this is a two part series. Modern Eng.. Math.. and Advanced Modern Eng.. Math.. I would advise people to buy both |
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