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Informationen zum Autor 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 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. Klappentext Work your way through Calc 2 with crystal clear explanations and tons of practiceCalculus II Workbook For Dummies is a hands-on guide to help you practice your way to a greater understanding of Calculus II. You'll get tons of chances to work on intermediate calculus topics such as substitution, integration techniques and when to use them, approximate integration, and improper integrals. This book is packed with practical examples, plenty of practice problems, and access to online quizzes so you'll be ready when it's test time. Plus, every practice problem in the book and online has a complete, step-by-step answer explanation. Great as a supplement to your textbook or a refresher before taking a standardized test like the MCAT, this Dummies workbook has what you need to succeed in this notoriously difficult subject.* Review important concepts from Calculus I and pre-calculus* Work through practical examples for integration, differentiation, and beyond* Test your knowledge with practice problems and online quizzes--and follow along with step-by-step solutions* Get the best grade you can on your Calculus II examCalculus II Workbook For Dummies is an essential resource for students, alone or in tandem with Calculus II For Dummies. Zusammenfassung Work your way through Calc 2 with crystal clear explanations and tons of practiceCalculus II Workbook For Dummies is a hands-on guide to help you practice your way to a greater understanding of Calculus II. You'll get tons of chances to work on intermediate calculus topics such as substitution, integration techniques and when to use them, approximate integration, and improper integrals. This book is packed with practical examples, plenty of practice problems, and access to online quizzes so you'll be ready when it's test time. Plus, every practice problem in the book and online has a complete, step-by-step answer explanation. Great as a supplement to your textbook or a refresher before taking a standardized test like the MCAT, this Dummies workbook has what you need to succeed in this notoriously difficult subject.* Review important concepts from Calculus I and pre-calculus* Work through practical examples for integration, differentiation, and beyond* Test your knowledge with practice problems and online quizzes--and follow along with step-by-step solutions* Get the best grade you can on your Calculus II examCalculus II Workbook For Dummies is an essential resource for students, alone or in tandem with Calculus II For Dummies. Inhaltsverzeichnis Introduction 1 Part 1: Introduction to Integration 3 Chapter 1: An Aerial View of the Area Problem 5 Chapter 2: Forgotten but Not Gone: Review of Algebra and Pre-Calculus 15 Chapter 3: Recent Memories: Calculus Review 37 Part 2: From Definite to Indefinite Integrals 51 Chapter 4: Approximating Area with Riemann Sums 53 Chapter 5: The Fundamental Theorem of Calculus and Indefinite Integrals 69 Part 3: Evaluating Indefinite Integrals 81 Chapter 6: Instant Integration 83 Chapter 7: Sharpening Your Integration Moves 91 Chapter 8: Here's Looking at u-Substitution 103 Part 4: Advanced Integration Techniques 115 Chapter 9: Integration by Parts 117 Chapter 10: Trig Substitution 131 Chapter 11: Integration with Partial Fractions 151 Part 5: Applications of Integrals 167 ...
List of contents
Introduction 1
Part 1: Introduction to Integration 3
Chapter 1: An Aerial View of the Area Problem 5
Chapter 2: Forgotten but Not Gone: Review of Algebra and Pre-Calculus 15
Chapter 3: Recent Memories: Calculus Review 37
Part 2: From Definite to Indefinite Integrals 51
Chapter 4: Approximating Area with Riemann Sums 53
Chapter 5: The Fundamental Theorem of Calculus and Indefinite Integrals 69
Part 3: Evaluating Indefinite Integrals 81
Chapter 6: Instant Integration 83
Chapter 7: Sharpening Your Integration Moves 91
Chapter 8: Here's Looking at u-Substitution 103
Part 4: Advanced Integration Techniques 115
Chapter 9: Integration by Parts 117
Chapter 10: Trig Substitution 131
Chapter 11: Integration with Partial Fractions 151
Part 5: Applications of Integrals 167
Chapter 12: Solving Area Problems 169
Chapter 13: Pump up the Volume -- Solving 3-D Problems 189
Chapter 14: Differential Equations 211
Part 6: Infinite Series 219
Chapter 15: Sequences and Series 221
Chapter 16: Convergent and Divergent Series 235
Chapter 17: Taylor and Maclaurin Series 255
Part 7: The Part of Tens 267
Chapter 18: Ten Mathematicians Who Anticipated Calculus before Newton and Leibniz 269
Chapter 19: 10 Skills from Pre-Calculus and Calculus I That Will Help You to Do Well in Calculus II 273
Index 279
