9780387909752

Calculus II

Alan Weinstein, Jerrold E. Marsden

2nd Edition

The goal of this text is to help students leam to use calculus intelligently for solving a wide variety of mathematical and physical problems. This book is an outgrowth of our teaching of calculus at Berkeley, and the present edition incorporates many improvements based on our use of the first edition. We list below some of the key features of the book. Examples and Exerci

9.1

Volumes by the Slice Method

Exercises

p.426

9.2

Volumes by the Shell Method

Exercises

p.432

9.3

Average Values and the Mean Value Theorem for Integrals

Exercises

p.436

9.4

Center of Mass

Exercises

p.444

9.5

Energy, Power, and Work

Exercises for the Supplement

p.451

Exercises

p.452

Review Exercise

p.453

12.1

The Sum of an Infinite Series

Exercises

p.568

12.2

The Comparison Test and Alternating Series

Exercises

p.577

12.3

The Integral and Ratio Tests

Exercises

p.585

12.4

Power Series

Exercises

p.592

12.5

Taylor's Formula

Exercises

p.605

12.6

Complex Numbers

Exercises

p.615

12.7

Second-Order Linear Differential Equations

Exercises

p.631

12.8

Series Solutions of Differential Equations

Exercises

p.640

Review Exercise

p.641