Amazon no longer offers textbook rentals. We do!

Calculus

by: Gootman, Elliot C.

Calculus

by: Gootman, Elliot C.

ISBN 13:
9780812098198
ISBN 10:
0812098196
Format: Paperback
Copyright: 09/01/1997
Publisher: Barrons Educational Series Inc

Rent From $10.93

Used From $14.10

List Price $16.99 Save

Rent $10.93

TERM	PRICE	DUE
SEMESTER	$10.93	Aug 02
QUARTER	$10.39	Jul 19
SHORT TERM	$10.00	Jun 21

Added Benefits of Renting

Free Shipping Both Ways
Highlight/Take Notes Like You Own It
Purchase/Extend Before Due Date

Add to Cart

List Price $16.99 Save $2.89

Used $14.10

Usually Ships in 24-48 Hours

We Buy This Book Back!

Included with your book

Free Shipping On Every Order

Add to Cart

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Extend or Purchase Your Rental at Any Time

Need to keep your rental past your due date? At any time before your due date you can extend or purchase your rental through your account.

Summary

This general review covers equations, functions, and graphs; limits, derivatives; integrals and antiderivatives; word problems; applications of integrals to geometry; and much more. Additional features make this volume especially helpful to students working on their own. They include worked-out examples, a summary of the main points of each chapter, exercises, and where needed, background material on algebra, geometry, and reading comprehension.

Introduction

vii

1 Equations, Functions, and Graphs

(16)

1.1 Equations

(1)

1.2 Functions

(6)

1.3 Graphs

(5)

1.4 Summary of Main Points

(1)

1.5 Exercises

(3)

2 Change, and the Idea of the Derivative

(30)

2.1 Average Rates of Change

(6)

2.2 Instantaneous Rates of Change

(10)

2.3 The Derivative

(4)

2.4 The Geometric Meaning of Derivatives

(6)

2.5 Summary of Main Points

(1)

2.6 Exercises

(3)

3 The Idea of Limits

(22)

3.1 The Basic Definition

(3)

3.2 Some Complications with the Definition of Limits

(2)

3.3 The Problem of Division By Zero

(4)

3.4 The Case of (0/0)

(3)

3.5 Continuity and Differentiability

(4)

3.6 Summary of Main Points

(2)

3.7 Exercises

(4)

4 Computing Some Derivatives

(14)

4.1 Powers of x

(3)

4.2 Fractional Expressions with the Variable in the Denominator

(6)

4.3 Square Roots

(1)

4.4 Some Harder Examples

(2)

4.5 Summary of Main Points

(1)

4.6 Exercises

(1)

5 Formulas for Derivatives

(20)

5.1 Derivatives of Some Particular Functions

(2)

5.2 Derivatives of Combinations of Functions

(7)

5.3 The Chain Rule

(8)

5.4 Summary of Main Points

101

(1)

5.5 Exercises

101

(2)

6 Extreme Values, the Mean Value Theorem, and Curve Sketching

103

(22)

6.1 Extreme Values

104

(6)

6.2 The Mean Value Theorem

110

(4)

6.3 Curve Sketching

114

(7)

6.4 Summary of Main Points

121

(1)

6.5 Exercises

122

(3)

7 Word Problems

125

(30)

7.1 A Review of Geometry

125

(6)

7.2 Max-Min Word Problems

131

(9)

7.3 Related Rate Word Problems

140

(9)

7.4 Summary of Main Points

149

(1)

7.5 Exercises

150

(5)

8 The Idea of the Integral

155

(34)

8.1 The Basic Idea

155

(9)

8.2 Terminology and Notation

164

(16)

8.3 The Definite Integral: Definition and Notation

180

(3)

8.4 Summary of Main Points

183

(2)

8.5 Exercises

185

(4)

9 Computing Some Integrals

189

(18)

9.1 Summation Rules and Formulas

189

(10)

9.2 Computing Limits of Approximate Sums

199

(3)

9.3 Summary of Main Points

202

(2)

9.4 Exercises

204

(3)

10 Formulas for Integrals: Integrals, Antiderivatives and the Fundamental Theorem of Calculus

207

(28)

10.1 Introduction

207

(1)

10.2 The Fundamental Theorem of Calculus--The Main Idea

207

(6)

10.3 The Fundamental Theorem of Calculus--An Idea of the Proof

213

(3)

10.4 Computing Some Antiderivatives

216

(8)

10.5 Antiderivatives Involving the Chain Rule

224

(6)

10.6 Summary of Main Points

230

(2)

10.7 Exercises

232

(3)

11 Geometric Applications of the Integral

235

(58)

11.1 Horizontal vs. Vertical, x vs. y

235

(8)

11.2 Area

243

(17)

11.3 Volumes of Solids of Revolution--The Method of Cross-sectional Areas

260

(15)

11.4 Volumes of Solids of Revolution--The Method of Cylindrical Shells

275

(13)

11.5 Summary of Main Points

288

(2)

11.6 Exercises

290

(3)

12 Motion

293

(12)

12.1 Simple Initial Value Problems

293

(2)

12.2 Motion with Constant Acceleration

295

(5)

12.3 Summary of Main Points

300

(1)

12.4 Exercises

301

(4)

APPENDICES

305

(17)

A The Trigonometric Functions

305

(10)

A.1 Definitions

305

(3)

A.2 Identities

308

(1)

A.3 Derivatives

309

(2)

A.4 Antiderivatives

311

(4)

B Exponential and Logarithmic Functions

315

(7)

B.1 Definitions

315

(1)

B.2 Identities

316

(1)

B.3 Derivatives

317

(2)

B.4 Antiderivatives

319

(3)

Answers to Exercises

322

(14)

Glossary

336

(3)

Index

339

Amazon no longer offers textbook rentals. We do!

Calculus

Calculus

9780812098198

0812098196

Summary

Table of Contents

Supplemental Materials

Write a Review