Synopses & Reviews
An easy-to-understand primer on advanced calculus topicsConfounded 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
Synopsis
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 exercises
Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight!
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.
Table of Contents
Introduction 1Part 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