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TEXTBOOK:

CONTENTS COVERED IN THIS COURSE: { Odd exercises selected for tests. }

CHAPTER 6

4.7 L'Hopital's Rule 232

6.5 Length of Curves 357 Background Lecture Note: Point On A Line is a start up idea! Exercises #32 is BOGUS. See this link and do it right for WF P5.

6.5 + Area of a Surface of Revolution: another WF P5 Science Center case in point!

6.6 Physical Applications 363

Review Exercises 374

CHAPTER 7 Logarithmic and Exponential Functions

7.1 Inverse Functions 377

7.2 The Natural Logarithmic and Exponential Functions 387

7.3 Logarithmic and Exponential Functions with Other Bases 399

7.4 Exponential Models 409

7.5 Inverse Trigonometric Functions 418

7.6 L'Hopital's Rule and Growth Rates of Functions 432

Appendix C Hypererbolic Functions 1066

Review Exercises 438

CHAPTER 8 Integration Techniqes 442

8.1 Integration by Parts 442

8.2 Trigonometric Integrals 449

8.3 Trigonometric Substitutions 457

8.4 Partial Fractions 465

8.5 Other Integration Strategies 475

8.6 Numerical Integration 480

8.7 Improper Integrals 491

8.8 Introduction to Differential Equations 502

Review Exercises 512

CHAPTER 9 Sequences and Infinite Series 515

9.1 An Overview 515

9.2 Sequences 526

9.3 Infinite Series 538

9.4 The Divergence and Integral Tests 545

9.5 The Ratio, Root, and Comparison Tests 558

9.6 Alternating Series 566

Review Exercises 575

CHSPTER 10 Power Series 578

10.l Approximating Functions with Polynomials 578

10.2 Properties of Power Series 591

10.3 Taylor Series 600

10.4 Working with Taylor Series 612

Review Exercises 621

CHAPTER 11 Parametric and Polar Curves 623

11.1 Parametric Equations 623

11.2 Polar Coordinates 634

11.3 Calculus in Polar Coordinates 646

11.4 Conic Sections 653

Review Exercises 666

Appendix A Algebra Review 1050

Appendix B Proofs of Selected Theorems 1058

Appendix C Hyperbolic Functions 1066

Answers A-1

Index I-1

Table of Integrals

END __Calculus__, book table of contents material is © 2011 by William Briggs and Lyle Cochran with contributions by
Bernard Gillett

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