Calculus ii for dummies®, (paperback)


Language: Anglais
Cover of the book Calculus ii for dummies®, (paperback)

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384 p. · Paperback

An easy-to-understand primer on advanced calculus topics

Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight! Calculus II For Dummies offers expert instruction, advice, and tips to help students get a handle on intermediate calculus topics. Best of all, it includes example problems and explanations that enhance your understanding of this complex subject.

  • Calculus II 101 * get an easy-to-follow introduction to the definite integral, the Reimann sum equation, and the indefinite integral

  • Strike that, reverse it * discover everything you need to know about reversing the differential process to solve a limited set of indefinite integrals using anti-differentiation

  • Go big with trig * find out how to use a whole host of trig functions to integrate powers of sines and cosines, and then tangents and secants, and finally cotangents and cosecants

  • Conquer the Mount Everest of Math * move on to intermediate integration, infinite series, and the math you can expect in higher-level Calculus courses

Open the book and find:

  • A need-to-know refresher on Pre-Calculus and Calculus I

  • The "Aha!" insights in Calculus II

  • Useful test-taking tips

  • The 4-1-1 on area problems

  • Plain-English explanations of integrals

  • Everything you need to know about the infinite series

  • Help on solving area problems

  • How to use calculus to solve 3-D problems

Learn to:

  • Make sense of advanced calculus topics

  • Get ahead of the curve with easy-to-understand explanations of complicated subject matter

  • Score high in your Calculus II class

Introduction 1

Part I: Introduction to Integration 9

Chapter 1: An Aerial View of the Area Problem 11

Chapter 2: Dispelling Ghosts from the Past: A Review of Pre-Calculus and Calculus I 37

Chapter 3: From Definite to Indefinite: The Indefinite Integral 73

Part II: Indefinite Integrals 103

Chapter 4: Instant Integration: Just Add Water (And C) 105

Chapter 5: Making a Fast Switch: Variable Substitution 117

Chapter 6: Integration by Parts 135

Chapter 7: Trig Substitution: Knowing All the (Tri)Angles 151

Chapter 8: When All Else Fails: Integration with Partial Fractions 173

Part III: Intermediate Integration Topics 195

Chapter 9: Forging into New Areas: Solving Area Problems 197

Chapter 10: Pump Up the Volume: Using Calculus to Solve 3-D Problems 219

Part IV: Infinite Series 241

Chapter 11: Following a Sequence, Winning the Series 243

Chapter 12: Where Is This Going? Testing for Convergence and Divergence 261

Chapter 13: Dressing Up Functions with the Taylor Series 283

Part V: Advanced Topics 307

Chapter 14: Multivariable Calculus 309

Chapter 15: What"s So Different about Differential Equations? 329

Part VI: The Part of Tens 343

Chapter 16: Ten "Aha!" Insights in Calculus II 345

Chapter 17: Ten Tips to Take to the Test 351

Index 355