Your light-hearted, practical approach to conquering calculus Does the thought of calculus give you a coronary? You aren't alone. Thankfully, this new edition of Calculus Workbook For Dummies makes it infinitely easier. Focusing "beyond the classroom," it contains calculus exercises you can work on that will help to increase your confidence and improve your skills. This hands-on, friendly guide gives you hundreds of practice problems on limits, vectors, continuity, differentiation, integration, curve-sketching, conic sections, natural logarithms, and infinite series.
Calculus is a gateway and potential stumbling block for students interested in pursuing a career in math, science, engineering, finance, and technology. Calculus students, along with math students in nearly all disciplines, benefit greatly from opportunities to practice different types of problems—in the classroom and out. Calculus Workbook For Dummies takes you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English, rather than math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be.
- Master differentiation and integration
- Use the calculus microscope: limits
- Analyze common functions
- Score your highest in calculus
Complete with tips for problem-solving and traps to avoid, Calculus Workbook For Dummies is your sure-fire weapon for conquering calculus!
Table of Contents:
Introduction 1 Part I: Pre?]Calculus Review 5
Chapter 1: Getting Down to Basics: Algebra and Geometry 7
Chapter 2: Funky Functions and Tricky Trig 25
Part II: Limits and Continuity 41
Chapter 3: A Graph Is Worth a Thousand Words: Limits and Continuity 43
Chapter 4: Nitty?]Gritty Limit Problems 53
Part III: Differentiation 79
Chapter 5: Getting the Big Picture: Differentiation Basics 81
Chapter 6: Rules, Rules, Rules: The Differentiation Handbook 91
Chapter 7: Analyzing Those Shapely Curves with the Derivative 119
Chapter 8: Using Differentiation to Solve Practical Problems 151
Chapter 9: Even More Practical Applications of Differentiation 179
Part IV: Integration and Infinite Series 197
Chapter 10: Getting into Integration 199
Chapter 11: Integration: Reverse Differentiation 219
Chapter 12: Integration Rules for Calculus Connoisseurs 235
Chapter 13: Who Needs Freud? Using the Integral to Solve Your Problems 261
Chapter 14: Infinite (Sort of) Integrals 281
Chapter 15: Infinite Series: Welcome to the Outer Limits 291
Part V: The Part of Tens 313
Chapter 16: Ten Things about Limits, Continuity, and Infinite Series 315
Chapter 17: Ten Things You Better Remember about Differentiation 319
Index 323
About the Author :
Mark Ryan has taught pre-algebra through calculus for more than 25 years. In 1997, he founded The Math Center in Winnetka, Illinois, where he teaches classes and tutors students in all levels of mathematics.
