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Calculus II for Dummies, 2nd Edition

An easy-to-understand primer on advanced calculus topics Calculus 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 exercises Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight!
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Table of Contents

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

About the Author

Mark Zegarelli , a math tutor and writer with 25 years of professional experience, delights in making technical information crystal clear - and fun - for average readers. He is the author of Logic For Dummies and Basic Math & Pre-Algebra For Dummies .

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