Calculus II For Dummies
2nd Edition
Published on 20. February 2012
Book
Paperback/Softback
384 pages
978-1-118-16170-8 (ISBN)
Description
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!
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!
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Zegarelli
Calculus II For Dummies, 3rd Edition
Book
06/2023
3rd Edition
Wiley
€29.00
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Mark Zegarelli
Calculus II For Dummies
Book
05/2008
1st Edition
Wiley
€17.90
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Person
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.
Content
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
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