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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.
Confounded by curves? Perplexed by polynomials? This plain-English guide to Calculus II will set you straight!
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
Kourtlandt
Posted September 19, 2009
About 5/8ths of the book is a review of Calculus I for Dummies... however, they are different authors so I will not complain too much.
Included are tear out cheat sheets on front and back.... however, I did notice one small error on page 1. It states that " d/dx arcsin(x) = -1/sqrt(1-x^2) "
and that is wrooooooongggg!!!! hopefully alot of students will notice that and not memorize the wrong thing.... that little "-" sign can be the difference in an A and a B. kind of a minor but big screw up Wiley Publishing. The error was fixed everywhere else in the book but the problem is that the error IS on the tear out cheat sheet that is designed to be studied and memorized.
anywho... not a bad book, definitely resourceful. 4 out of 5 stars!
3 out of 5 people found this review helpful.
Was this review helpful? Yes NoThank you for your feedback. Report this reviewThank you, this review has been flagged.chibiseiya
Posted April 10, 2010
This book is a lifesaver! After taking calculus 2 and failing, I decided to look for books that dealt with integration (the concept of calculus 2). I was thrilled when I purchased this book. It is full of excellent explainations and examples that really helped me get a better understanding of calculus 2. I would recommend this book to all current and future calculus students!
2 out of 2 people found this review helpful.
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Posted March 10, 2010
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Posted July 9, 2010
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Posted October 11, 2010
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Overview
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,...