Calculus II for Dummies
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Get the info you need to get ahead of the curve Gain confidence and conquer this complex subject Getting ready for Calculus II? This fun, friendly guide is packed with expert instruction, advice, and tips to help you make sense of the math and score your best. You get in-depth explanations of key intermediate calculus topics, from integration to indefinite integrals to infinite series. Plus, you'll solve plenty of practice problems to increase your understanding. Discover how to: Work with indefinite integrals Simplify functions with variable substitutions Solve complex area and volume problems Understand series and sequences Solve differential and multivariable equations
Introduction. Part I: Introduction to Integration. Chapter 1: An Aerial View of the Area Problem. Chapter 2: Dispelling Ghosts from thw Past: A Review of Pre-Calculus and Calculus I. Chapter 3: From Definite to Indefinite: The Indefinite Integral. Part II: Indefinite Integrals. Chapter 4: Instant Integration: Just Add Wat5er (And C). Chapter 5: Making a Fast Switch: Variable Substitution. Chapter 6: Integration by Parts. Chapter 7: Trig Substitution: Knowing All the (Tri)Angles. Chapter 8: When All Else Fails: Integration with Partial Fractions. Part III: Intermediate Integration Topics. Chapter 9: Forging into New Areas: Solving Area Problems. Chapter 10: Pump up the Volume: Using Calculus to Solve 3-D Problems. Part IV: Infinite Series. Chapter 11: Following a Sequence, Winning the Series. Chapter 12: Where Is This Going? Testing for Convergence and Divergence. Chapter 13: Dressing up Fractions with the Taylor Series. Part V: Advanced Topics. Chapter 14: Multivariable Calculus. Chapter 15: What's So Different about Differential Equations? Part VI: The Part of Tens. Chapter 16: Ten "Aha!" Insights in Calculus II. Chapter 17: Ten Tips to Take to the Test. Index.
