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!
Mục lục
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 Integral73
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)Angles151
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-DProblems 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
Giới thiệu về tác giả
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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