Mark Ryan has more than three decades’ experience as a calculus teacher and tutor. He has a gift for mathematics and a gift for explaining it in plain English. He tutors students in all junior high and high school math courses as well as math test prep, and he’s the founder of The Math Center on Chicago’s North Shore. Ryan is the author of Calculus For Dummies, Calculus Essentials For Dummies, Geometry For Dummies, and several other math books.

• Introduction 1Unit 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 21Unit 2: Warming Up with Calculus Prerequisites 25Chapter 4: Pre-Algebra, Algebra, and Geometry Review 27Chapter 5: Funky Functions and Their Groovy Graphs 67Chapter 6: The Trig Tango 95Unit 3: Limits 117Chapter 7: Limits and Continuity 119Chapter 8: Evaluating Limits 141Unit 4: Differentiation 181Chapter 9: Differentiation Orientation 183Chapter 10: Differentiation Rules — Yeah, Man, It Rules 215Chapter 11: Differentiation and the Shape of Curves 259Chapter 12: Your Problems Are Solved: Differentiation to the Rescue! 321Chapter 13: More Differentiation Problems: Going Off on a Tangent 367Unit 5: Integration and Infinite Series 397Chapter 14: Intro to Integration and Approximating Area 399Chapter 15: Integration: It’s Backwards Differentiation 439Chapter 16: Integration Techniques for Experts 479Chapter 17: Who Needs Freud? Using the Integral to Solve Your Problems 521Chapter 18: Taming the Infinite with Improper Integrals 557Chapter 19: Infinite Series: Welcome to the Outer Limits 581Index 623

Mark Ryan has more than three decades’ experience as a calculus teacher and tutor. He has a gift for mathematics and a gift for explaining it in plain English. He tutors students in all junior high and high school math courses as well as math test prep, and he’s the founder of The Math Center on Chicago’s North Shore. Ryan is the author of Calculus For Dummies, Calculus Essentials For Dummies, Geometry For Dummies, and several other math books.

• Introduction 1Unit 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 21Unit 2: Warming Up with Calculus Prerequisites 25Chapter 4: Pre-Algebra, Algebra, and Geometry Review 27Chapter 5: Funky Functions and Their Groovy Graphs 67Chapter 6: The Trig Tango 95Unit 3: Limits 117Chapter 7: Limits and Continuity 119Chapter 8: Evaluating Limits 141Unit 4: Differentiation 181Chapter 9: Differentiation Orientation 183Chapter 10: Differentiation Rules — Yeah, Man, It Rules 215Chapter 11: Differentiation and the Shape of Curves 259Chapter 12: Your Problems Are Solved: Differentiation to the Rescue! 321Chapter 13: More Differentiation Problems: Going Off on a Tangent 367Unit 5: Integration and Infinite Series 397Chapter 14: Intro to Integration and Approximating Area 399Chapter 15: Integration: It’s Backwards Differentiation 439Chapter 16: Integration Techniques for Experts 479Chapter 17: Who Needs Freud? Using the Integral to Solve Your Problems 521Chapter 18: Taming the Infinite with Improper Integrals 557Chapter 19: Infinite Series: Welcome to the Outer Limits 581Index 623

Mark Ryan has more than three decades’ experience as a calculus teacher and tutor. He has a gift for mathematics and a gift for explaining it in plain English. He tutors students in all junior high and high school math courses as well as math test prep, and he’s the founder of The Math Center on Chicago’s North Shore. Ryan is the author of Calculus For Dummies, Calculus Essentials For Dummies, Geometry For Dummies, and several other math books.

• Introduction 1Unit 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 21Unit 2: Warming Up with Calculus Prerequisites 25Chapter 4: Pre-Algebra, Algebra, and Geometry Review 27Chapter 5: Funky Functions and Their Groovy Graphs 67Chapter 6: The Trig Tango 95Unit 3: Limits 117Chapter 7: Limits and Continuity 119Chapter 8: Evaluating Limits 141Unit 4: Differentiation 181Chapter 9: Differentiation Orientation 183Chapter 10: Differentiation Rules — Yeah, Man, It Rules 215Chapter 11: Differentiation and the Shape of Curves 259Chapter 12: Your Problems Are Solved: Differentiation to the Rescue! 321Chapter 13: More Differentiation Problems: Going Off on a Tangent 367Unit 5: Integration and Infinite Series 397Chapter 14: Intro to Integration and Approximating Area 399Chapter 15: Integration: It’s Backwards Differentiation 439Chapter 16: Integration Techniques for Experts 479Chapter 17: Who Needs Freud? Using the Integral to Solve Your Problems 521Chapter 18: Taming the Infinite with Improper Integrals 557Chapter 19: Infinite Series: Welcome to the Outer Limits 581Index 623