Page 11 - Calculus Workbook For Dummies

Contents at a Glance

Introduction.................................................................................1

Part I: Pre-Calculus Review ..........................................................5

Chapter 1: Getting Down the Basics: Algebra and Geometry.................................................................7
Chapter 2: Funky Functions and Tricky Trig...........................................................................................19
Part II: Limits and Continuity .....................................................29
Chapter 3: A Graph Is Worth a Thousand Words: Limits and Continuity ...........................................31
Chapter 4: Nitty-Gritty Limit Problems....................................................................................................39
Part III: Differentiation ..............................................................57

Chapter 5: Getting the Big Picture: Differentiation Basics ...................................................................59
Chapter 6: Rules, Rules, Rules:The Differentiation Handbook .............................................................69
Chapter 7: Analyzing Those Shapely Curves with the Derivative........................................................91
Chapter 8: Using Differentiation to Solve Practical Problems............................................................123
Part IV: Integration and Infinite Series ......................................157
Chapter 9: Getting into Integration ........................................................................................................159
Chapter 10: Integration: Reverse Differentiation..................................................................................177
Chapter 11: Integration Rules for Calculus Connoisseurs ..................................................................193
Chapter 12: Who Needs Freud? Using the Integral to Solve Your Problems.....................................219
Chapter 13: Infinite Series: Welcome to the Outer Limits ...................................................................243
Part V: The Part of Tens............................................................263

Chapter 14: Ten Things about Limits, Continuity, and Infinite Series ..............................................265
Chapter 15: Ten Things You Better Remember about Differentiation...............................................269
Chapter 16: Ten Things to Remember about Integration If You Know What’s Good for You.........273
Index.......................................................................................277