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Calculus II For Dummies

Calculus II For Dummies

Authors
Publisher Wiley & Sons
Year
Pages 384
Version paperback
Language English
ISBN 9781118161708
Categories Popular science
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Book description

An easy-to-understand primer on advanced calculus topicsCalculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams.It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject.* Introduction to integration* Indefinite integrals* Intermediate Integration topics* Infinite series* Advanced topics* Practice exercisesConfounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight!

Calculus II For Dummies

Table of contents

Introduction 1Part I: Introduction to Integration 9Chapter 1: An Aerial View of the Area Problem 11Chapter 2: Dispelling Ghosts from the Past: A Review of Pre-Calculus and Calculus I 37Chapter 3: From Definite to Indefinite: The Indefinite Integral 73Part II: Indefinite Integrals 103Chapter 4: Instant Integration: Just Add Water (And C) 105Chapter 5: Making a Fast Switch: Variable Substitution 117Chapter 6: Integration by Parts 135Chapter 7: Trig Substitution: Knowing All the (Tri)Angles 151Chapter 8: When All Else Fails: Integration with Partial Fractions 173Part III: Intermediate Integration Topics 195Chapter 9: Forging into New Areas: Solving Area Problems 197Chapter 10: Pump Up the Volume: Using Calculus to Solve 3-D Problems 219Part IV: Infinite Series 241Chapter 11: Following a Sequence, Winning the Series 243Chapter 12: Where Is This Going? Testing for Convergence and Divergence 261Chapter 13: Dressing Up Functions with the Taylor Series 283Part V: Advanced Topics 307Chapter 14: Multivariable Calculus 309Chapter 15: What's So Different about Differential Equations? 329Part VI: The Part of Tens 343Chapter 16: Ten "Aha!" Insights in Calculus II 345Chapter 17: Ten Tips to Take to the Test 351Index 355

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