Mark Ryan is the founder and owner of The Math Center, a math and test prep tutoring center in Winnetka, Illinois. He is the author of Calculus Workbook For Dummies, Calculus Essentials For Dummies, and three books on geometry in the For Dummies series. Ryan has taught junior high and high school math since 1989. He lives in Evanston, Illinois.

• Introduction 1Part 1: An Overview of Calculus 5Chapter 1: What Is Calculus? 7Chapter 2: The Two Big Ideas of Calculus: Differentiation and Integration — plus Infinite Series 13Chapter 3: Why Calculus Works 21Part 2: Warming Up with Calculus Prerequisites 27Chapter 4: Pre-Algebra and Algebra Review 29Chapter 5: Funky Functions and Their Groovy Graphs 43Chapter 6: The Trig Tango 61Part 3: Limits 73Chapter 7: Limits and Continuity 75Chapter 8: Evaluating Limits 89Part 4: Differentiation 105Chapter 9: Differentiation Orientation 107Chapter 10: Differentiation Rules — Yeah, Man, It Rules 127Chapter 11: Differentiation and the Shape of Curves 147Chapter 12: Your Problems Are Solved: Differentiation to the Rescue! 171Chapter 13: More Differentiation Problems: Going Off on a Tangent 193Part 5: Integration and Infinite Series 207Chapter 14: Intro to Integration and Approximating Area 209Chapter 15: Integration: It’s Backwards Differentiation 233Chapter 16: Integration Techniques for Experts 263Chapter 17: Forget Dr Phil: Use the Integral to Solve Problems 285Chapter 18: Taming the Infinite with Improper Integrals 303Chapter 19: Infinite Series 315Part 6: The Part of Tens 339Chapter 20: Ten Things to Remember 341Chapter 21: Ten Things to Forget 345Chapter 22: Ten Things You Can’t Get Away With 349Index 353

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Mark Ryan is the founder and owner of The Math Center, a math and test prep tutoring center in Winnetka, Illinois. He is the author of Calculus Workbook For Dummies, Calculus Essentials For Dummies, and three books on geometry in the For Dummies series. Ryan has taught junior high and high school math since 1989. He lives in Evanston, Illinois.

• Introduction 1Part 1: An Overview of Calculus 5Chapter 1: What Is Calculus? 7Chapter 2: The Two Big Ideas of Calculus: Differentiation and Integration — plus Infinite Series 13Chapter 3: Why Calculus Works 21Part 2: Warming Up with Calculus Prerequisites 27Chapter 4: Pre-Algebra and Algebra Review 29Chapter 5: Funky Functions and Their Groovy Graphs 43Chapter 6: The Trig Tango 61Part 3: Limits 73Chapter 7: Limits and Continuity 75Chapter 8: Evaluating Limits 89Part 4: Differentiation 105Chapter 9: Differentiation Orientation 107Chapter 10: Differentiation Rules — Yeah, Man, It Rules 127Chapter 11: Differentiation and the Shape of Curves 147Chapter 12: Your Problems Are Solved: Differentiation to the Rescue! 171Chapter 13: More Differentiation Problems: Going Off on a Tangent 193Part 5: Integration and Infinite Series 207Chapter 14: Intro to Integration and Approximating Area 209Chapter 15: Integration: It’s Backwards Differentiation 233Chapter 16: Integration Techniques for Experts 263Chapter 17: Forget Dr Phil: Use the Integral to Solve Problems 285Chapter 18: Taming the Infinite with Improper Integrals 303Chapter 19: Infinite Series 315Part 6: The Part of Tens 339Chapter 20: Ten Things to Remember 341Chapter 21: Ten Things to Forget 345Chapter 22: Ten Things You Can’t Get Away With 349Index 353

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Mark Ryan is the founder and owner of The Math Center, a math and test prep tutoring center in Winnetka, Illinois. He is the author of Calculus Workbook For Dummies, Calculus Essentials For Dummies, and three books on geometry in the For Dummies series. Ryan has taught junior high and high school math since 1989. He lives in Evanston, Illinois.

• Introduction 1Part 1: An Overview of Calculus 5Chapter 1: What Is Calculus? 7Chapter 2: The Two Big Ideas of Calculus: Differentiation and Integration — plus Infinite Series 13Chapter 3: Why Calculus Works 21Part 2: Warming Up with Calculus Prerequisites 27Chapter 4: Pre-Algebra and Algebra Review 29Chapter 5: Funky Functions and Their Groovy Graphs 43Chapter 6: The Trig Tango 61Part 3: Limits 73Chapter 7: Limits and Continuity 75Chapter 8: Evaluating Limits 89Part 4: Differentiation 105Chapter 9: Differentiation Orientation 107Chapter 10: Differentiation Rules — Yeah, Man, It Rules 127Chapter 11: Differentiation and the Shape of Curves 147Chapter 12: Your Problems Are Solved: Differentiation to the Rescue! 171Chapter 13: More Differentiation Problems: Going Off on a Tangent 193Part 5: Integration and Infinite Series 207Chapter 14: Intro to Integration and Approximating Area 209Chapter 15: Integration: It’s Backwards Differentiation 233Chapter 16: Integration Techniques for Experts 263Chapter 17: Forget Dr Phil: Use the Integral to Solve Problems 285Chapter 18: Taming the Infinite with Improper Integrals 303Chapter 19: Infinite Series 315Part 6: The Part of Tens 339Chapter 20: Ten Things to Remember 341Chapter 21: Ten Things to Forget 345Chapter 22: Ten Things You Can’t Get Away With 349Index 353

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