Read more
The easy (okay, easier) way to master advanced calculus topics and theories
Calculus II For Dummies will help you get through your (notoriously difficult) calc class--or pass a standardized test like the MCAT with flying colors. Calculus is required for many majors, but not everyone's a natural at it. This friendly book breaks down tricky concepts in plain English, in a way that you can understand. Practical examples and detailed walkthroughs help you manage differentiation, integration, and everything in between. You'll refresh your knowledge of algebra, pre-calc and Calculus I topics, then move on to the more advanced stuff, with plenty of problem-solving tips along the way.
* Review Algebra, Pre-Calculus, and Calculus I concepts
* Make sense of complicated processes and equations
* Get clear explanations of how to use trigonometry functions
* Walk through practice examples to master Calc II
Use this essential resource as a supplement to your textbook or as refresher before taking a test--it's packed with all the helpful knowledge you need to succeed in Calculus II.
List of contents
Introduction 1
Part 1: Introduction to Integration 7
Chapter 1: An Aerial View of the Area Problem 9
Chapter 2: Forgotten but Not Gone: Review of Algebra and Pre-Calculus 27
Chapter 3: Recent Memories: Review of Calculus I 53
Part 2: From Definite to Indefinite Integrals 73
Chapter 4: Approximating Area with Riemann Sums 75
Chapter 5: There Must Be a Better Way -- Introducing the Indefinite Integral 87
Part 3: Evaluating Indefinite Integrals 103
Chapter 6: Instant Integration: Just Add Water (And C) 105
Chapter 7: Sharpening Your Integration Moves 117
Chapter 8: Here's Looking at U-Substitution 141
Part 4: Advanced Integration Techniques 153
Chapter 9: Parting Ways: Integration by Parts 155
Chapter 10: Trig Substitution: Knowing All the (Tri)Angles 173
Chapter 11: Rational Solutions: Integration with Partial Fractions 197
Part 5: Applications of Integrals 219
Chapter 12: Forging into New Areas: Solving Area Problems 221
Chapter 13: Pump Up the Volume: Using Calculus to Solve 3-D Problems 243
Chapter 14: What's So Different about Differential Equations? 265
Part 6: Infinite Series 275
Chapter 15: Following a Sequence, Winning the Series 277
Chapter 16: Where Is This Going? Testing for Convergence and Divergence 295
Chapter 17: Dressing Up Functions with the Taylor Series 319
Part 7: The Part of Tens 341
Chapter 18: Ten "Aha!" Insights in Calculus II 343
Chapter 19: Ten Tips to Take to the Test 351
Index 357
About the author
Mark Zegarelli is a math teacher and tutor with degrees in math and English from Rutgers University. He is the author of a dozen books, including
Basic Math & Pre-Algebra For Dummies, SAT Math For Dummies, and
Calculus II Workbook For Dummies. Through online tutoring, he teaches multiplication and beyond to preschoolers in a way that sets them up for school success while keeping the natural magic of math alive. Contact Mark at
markzegarelli.com.
Summary
The easy (okay, easier) way to master advanced calculus topics and theories
Calculus II For Dummies will help you get through your (notoriously difficult) calc class--or pass a standardized test like the MCAT with flying colors. Calculus is required for many majors, but not everyone's a natural at it. This friendly book breaks down tricky concepts in plain English, in a way that you can understand. Practical examples and detailed walkthroughs help you manage differentiation, integration, and everything in between. You'll refresh your knowledge of algebra, pre-calc and Calculus I topics, then move on to the more advanced stuff, with plenty of problem-solving tips along the way.
* Review Algebra, Pre-Calculus, and Calculus I concepts
* Make sense of complicated processes and equations
* Get clear explanations of how to use trigonometry functions
* Walk through practice examples to master Calc II
Use this essential resource as a supplement to your textbook or as refresher before taking a test--it's packed with all the helpful knowledge you need to succeed in Calculus II.
