1188314491|vladimir|Author's Welcome|Welcome to this website, which contains resources of varous types. Calculus is not an easy subject, but with the help of your instructor, the textbook and its ancillaries, and the resources on this site, you are well equipped to master the subject.
You will see a number of resources. If you think your knowledge of precalculus mathematics might be weak, and particularly if you have been away from mathematics for a while, you should click on Algebra Review. There you will find a review, with examples and exercises, of the very basic rules of algebra that are needed for success in calculus. When I grade calculus exams, I find that the mistakes my students make are often algebra mistakes, not calculus mistakes. So the Algebra Review has warnings about common errors in algebra. You will also see Lies My Calculator and Computer Told Me. Most of my students seem to believe that, when they perform a calculation with their calculator, it always provides the right answer. Here I try to correct this impression by showing certain situations in which calculator answers are unreliable. Some of you might be interested in History of Mathematics, which lists some of the better books and web sites devoted to the history of mathematics and, in particular, the history of calculus. Some of my students value such references because they humanize the subject. Also included are a number of ADDITIONAL TOPICS, which your instructor might assign, or which you might like to explore on your own. More topics will be added from time to time.
When you click on WEB LINKS you’ll see the annotated links, for particular topics, to outside resources.
Under OTHER RESOURCES you can access software for two- and three-dimensional graphing, as well as information on careers and organizations.
In addition, INSTRUCTOR AREA gives instructors access to Archived Problems. These are exercises, together with solutions, that appeared in previous editions. They can be used by the instructor as possible test questions or made available to students for additional practice.
James Stewart|||7||
1145210938|dusan|Additional Examples|ADDITIONAL EXAMPLES:
1.1 Functions and Their Representations
1.2 A Catalog of Essential Functions
1.3 The Limit of a Function
1.4 Calculating Limits
1.6 Limits Involving Infinity
2.1 Derivatives and Rates of Change
2.2 The Derivative as a Function
2.3 Basic Differentiation Formulas
2.4 The Product and Quotient Rules
2.6 Implicit Differentiation
2.8 Linear Approximations and Differentials
3.1 Maximum and Minimum Values
3.3 Derivatives and the Shapes of Graphs
3.4 Curve Sketching
3.6 Newton's Method
3.7 Antiderivatives
4.2 The Definite Integral
4.3 Evaluating Definite Integrals
4.5 The Substitution Rule
5.1 Inverse Functions
5.2 The Natural Logarithmic Function
5.3 The Natural Exponential Function
5.5 Exponential Growth and Decay
5.6 Inverse Trigonometric Functions
6.2 Trigonometric Integrals and Substitutions
6.3 Partial Fractions
6.6 Improper Integrals
7.1 Areas Between Curves
7.5 Applications to Physics and Engineering
7.6 Differential Equations
8.1 Sequences
8.3 The Integral and Comparison Tests
8.7 Taylor and Maclaurin Series
9.1 Parametric Curves
9.2 Calculus with Parametric Curves
9.3 Polar Coordinates
10.5 Equations of Lines and Planes
10.6 Cylinders and Quadric Surfaces
10.8 Arc Length and Curvature
11.7 Maximum and Minimum Values
12.1 Double Integrals over Rectangles
12.3 Double Integrals in Polar Coordinates
12.6 Triple Integrals in Cylindrical Coordinates
12.7 Triple Integrals in Spherical Coordinates |||6||
1090822687|default|Chapter 7: Systems of Equations and Data in Categories|Web Links Coming Soon
Chapter 7: Systems of Equations and Data in Categories
Section 7.1: Systems of Linear Equations in Two Variables
Section 7.2: Systems of Linear Equations in Several Variables
Section 7.3: Using Matrices to Solve Systems of Linear Equations
Section 7.4: Matrices and Data in Categories
Section 7.5: Matrix Operations: Getting Information from Data
Section 7.6: Matrix Equations: Solving a Linear System|||2||
1090822670|default|Chapter 6: Power, Polynomial, and Rational Functions|Web Links Coming Soon
Chapter 6: Power, Polynomial, and Rational Functions
Section 6.1: Working with Functions: Algebraic Operations
Section 6.2: Power Functions: Positive Powers
Section 6.3: Polynomial Functions: Combining Power Functions
Section 6.4: Fitting Power and Polynomial Curves to Data
Section 6.5: Power Functions: Negative Powers
Section 6.6: Rational Functions|||2||
1090822660|default|Chapter 5: Quadratic Functions and Models|Web Links Coming Soon
Chapter 5: Quadratic Functions and Models
Section 5.1: Working with Functions: Shifting and Stretching
Section 5.2: Quadratic Functions and Their Graphs
Section 5.3: Maxima and Minima: Getting Information from a Model
Section 5.4: Quadratic Equations: Getting Information from a Model
Section 5.5: Fitting Quadratic Curves to Data|||2||
1090822651|default|Chapter 4: Logarithmic Functions and Exponential Models|Web Links Coming Soon
Chapter 4: Logarithmic Functions and
Exponential Models
Section 4.1: Logarithmic Functions
Section 4.2: Laws of Logarithms
Section 4.3: Logarithmic Scales
Section 4.4: The Natural Exponential and Logarithmic Functions
Section 4.5: Exponential Equations: Getting Information from a Model
Section 4.6: Working with Functions: Composition and Inverse|||2||
1090822625|default|Chapter 3: Exponential Functions and Models|Web Links Coming Soon
Chapter 3: Exponential Functions and Models
Section 3.1: Exponential Growth and Decay
Section 3.2: Exponential Models: Comparing Rates
Section 3.3: Comparing Linear and Exponential Growth
Section 3.4: Graphs of Exponential Functions
Section 3.5: Fitting Exponential Curves to Data|||2||
1090795193|default|Chapter 2: Linear Functions and Models|Web Links Coming Soon
Chapter 2: Linear Functions and Models
Section 2.1: Working with Functions: Average Rate of Change
Section 2.2: Linear Functions: Constant Rate of Change
Section 2.3: Equations of Lines: Making Linear Models
Section 2.4: Varying the Coefficients: Direct Proportionality
Section 2.5: Linear Regression: Fitting Lines to Data
Section 2.6: Linear Equations: Getting Information from a Model
Section 2.7: Linear Equations: Where Lines Meet|||2||
1090794855|default|Chapter 1: Data, Functions, and Models|Web Links Coming Soon
Chapter 1: Data, Functions, and Models
Section 1.1: Making Sense of Data
Section 1.2: Visualizing Relationships in Data
Section 1.3: Equations: Describing Relationships in Data
Section 1.4: Functions: Describing Change
Section 1.5: Function Notation: The Concept of Function as a Rule
Section 1.6: Working with Functions: Graphs and Graphing Calculators
Section 1.7: Working with Functions: Getting Information from the Graph
Section 1.8: Working with Functions: Modeling Real-World Relationships
Section 1.9: Making and Using Formulas|||2||
1090820133|default|Instructor Area|Some of the links below will take you to a password-protected area of the Brooks/Cole Stewart Calculus Instructor Resources web site. If you are an instructor and need a login, please fill out our online request form and an access code will be e-mailed to you.
Solution Builder
Build and save your own customized solution sets for textbook exercises.
Archive Problems
Problems from past editions of this textbook organized by chapter. Includes complete answers and solutions.
Challenge Problems
Extra challenging problems from author James Stewart organized by chapter. Includs complete answers and solutions.
Lies My Calculator and Computer Told Me
Extra section by James Stewart that discusses the limitations of using calculators and computers for calculus. Includes exercises with solutions.
Additional Topics:
Fourier Series (Instructor Version w/ Solutions)
Optional extra topic for instructors wishing to introduce Fourier Series in their classes. Includes exercises with solutions.
Rotation of Axes (Instructor Version w/ Solutions)
Optional extra topic for instructors wishing to introduce Rotation of Axes in their classes. Includes exercises with solutions.
Formulas for the Remainder Term in Taylor Series
An extension of Section 11.10 of the textbook for instructors wishing to expand this topic in their class coverage.|||5||
1080255884|default|Book Supplements|Miscellaneous resources for students and teachers.
Please scroll down for instructors' supplements.
For Students and Instructors
Enhanced WebAssign
Exclusively from Cengage Learning, Enhanced WebAssign® offers an extensive online program for College Algebra to encourage the practice that's so critical for concept mastery. The meticulously crafted pedagogy and exercises in this text become even more effective in Enhanced WebAssign, supplemented by multimedia tutorial support and immediate feedback as students complete their assignments. Algorithmic problems allow instructor to assign unique versions to each student. The Practice Another Version feature (activated at your discretion) allows students to attempt the questions with new sets of values until they feel confident enough to work the original problem. Students benefit from a new Premium eBook with highlighting and search features; Personal Study Plans (based on diagnostic quizzing) that identify chapter topics they still need to master; and links to video solutions, interactive tutorials, and even live online help.
For Students
The following resources are available to enhance student learning and most are available separately for student purchase via our online catalog. Please note that some items are automatically packaged with the text and are not sold separately. Instructors, please contact your sales representative if you would like information on other packaging alternatives.
Student Solutions Manual
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
Study Guide
Reinforces student understanding with detailed explanations, worked-out examples, and practice problems. Lists key ideas to master and builds problem-solving skills. There is a section in the Study Guide corresponding to each section in the text.
For Instructors
The following resources are available to instructors only upon adoption of the text. (Some restrictions may apply). To request a review copy or for details on policies, please contact your sales representative or Cengage Learning Academic Support at 800-423-0563.
PowerLecture with ExamView CD-ROM
The CD-ROM provides the instructor with dynamic media tools for teaching college algebra. PowerPoint® lecture slides and art slides of the figures from the text, together with electronic files for the test bank and a link to the Solution Builder, are available. The algorithmic ExamView allows you to create, deliver, and customize tests (both print and online) in minutes with this easy-to-use assessment system. Enhance how your students interact with you, your lecture, and each other.
Complete Solutions Manual
The complete solutions manual provides worked-out solutions to all of the problems in the text.
Instructor's Guide
The Instructor's Guide contains points to stress, suggested time to allot, text discussion topics, core materials for lecture, workshop/discussion suggestions, group work exercises in a form suitable for handout, and suggested homework problems.
Solution Builder
The online Solution Builder lets instructors easily build and save customized solution sets either for printing or posting on password-protected class websites. Visit www.cengage.com/solutionbuilder to request an account.|||4||
1079620895|default|Additional Topics|Adobe® Acrobat® Reader®, a free software for viewing and printing Adobe Portable Document Format (PDF) files, is required to view these documents.
Click here to Download Adobe Acrobat Reader.
Review of Algebra
Lies My Calculator and Computer Told Me|||3||
1079620839|default|News and Announcements|Welcome to the website for College Algebra: Concepts & Contexts. The website has been designed to give you easy access to study materials and book supplements that will help you with your studies.
This text bridges the gap between traditional and reform approaches to algebra encouraging students to see mathematics in context. It presents fewer topics in greater depth, prioritizing data analysis as a foundation for mathematical modeling, and emphasizing the verbal, numerical, graphical and symbolic representations of mathematical concepts as well as connecting mathematics to real life situations drawn from the students' majors.
Note: Some of the links point to Acrobat PDF files. For ease of navigation, these links open in a new browser window. If you can't open these links, please disable your popup blocker for this site.|||1||