Title:
Single variable calculus
Personal Author:
Edition:
7th ed.
Publication Information:
Belmont, CA : Brooks/Cole-Cengage Learning, 2012
Physical Description:
xxvii, 382 p. : ill. ; 26 cm.
ISBN:
9780538497848
General Note:
Includes index
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 35000000000022 | QA303.2 S749 2012 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With SINGLE VARIABLE CALCULUS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.
Table of Contents
| Diagnostic Tests |
| A Preview of Calculus |
| 1 Functions And Limits |
| Four Ways to Represent a Function |
| Mathematical Models: A Catalog of Essential Functions |
| New Functions from Old Functions |
| The Tangent and Velocity Problems |
| The Limit of a Function |
| Calculating Limits Using the Limit Laws |
| The Precise Definition of a Limit |
| Continuity |
| Review |
| Principles of Problem Solving |
| 2 Derivatives |
| Derivatives and Rates of Change |
| Writing Project: Writing Project: Early Methods for Finding Tangents |
| The Derivative as a Function |
| Differentiation Formulas |
| Applied Project: Building a Better Roller Coaster |
| Derivatives of Trigonometric Functions |
| The Chain Rule |
| Applied Project: Where Should a Pilot Start Descent? |
| Implicit Differentiation |
| Laboratory Project: Families of Implicit Curves |
| Rates of Change in the Natural and Social Sciences |
| Related Rates |
| Linear Approximations and Differentials |
| Laboratory Project: Taylor Polynomials |
| Review |
| Problems Plus |
| 3 Applications Of Differentiation |
| Maximum and Minimum Values |
| Applied Project: The Calculus of Rainbows |
| The Mean Value Theorem |
| How Derivatives Affect the Shape of a Graph |
| Limits at Infinity |
| Horizontal Asymptotes |
| Summary of Curve Sketching |
| Graphing with Calculus and Calculators |
| Optimization Problems |
| Applied Project: The Shape of a Can |
| Newton's Method |
| Antiderivatives |
| Review |
| Problems Plus |
| 4 Integrals |
| Areas and Distances |
| The Definite Integral |
| Discovery Project: Area Functions |
| The Fundamental Theorem of Calculus |
| Indefinite Integrals and the Net Change Theorem |
| Writing Project: Newton, Leibniz, and the Invention of Calculus |
| The Substitution Rule |
| Review |
| Problems Plus |
| 5 Applications Of Integration |
| Areas Between Curves |
| Applied Project: The Gini Index |
| Volume |
| Volumes by Cylindrical Shells |
| Work |
| Average Value of a Function |
| Review |
| Appendixes |
| A Intervals, Inequalities, and Absolute Values |
| B Coordinate Geometry and Lines |
| C Graphs of Second-Degree Equations |
| D Trigonometry |
| E Sigma Notation |
| F Proofs of Theorems |
| G Graphing Calculators and Computers |
| H Complex Numbers |
| I Answers to Odd-Numbered Exercises |
