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Full Description
Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2 nd Edition makes calculus manageable-even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English instead of 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. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is-simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2 nd Edition proves that if you can master those classes, you can tackle calculus and win.Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2 nd Edition provides a roadmap for success, and the backup you need to get there.
Contents
Introduction 1 PART ICalculus? 7 Chapter 2: The Two Big Ideas of Calculus: Differentiation and Integration -- plus Infinite Series 13 Chapter 3: Why Calculus Works 21 Part II: Warming Up with Calculus Prerequisites 27 Chapter 4: Pre-Algebra and Algebra Review 29 Chapter 5: Funky Functions and Their Groovy Graphs 45 Chapter 6: The Trig Tango 63 Part III: Limits 75 Chapter 7: Limits and Continuity 77 Chapter 8: Evaluating Limits 91 Part IV: Differentiation 107 Chapter 9: Differentiation Orientation 109 Chapter 10: Differentiation Rules -- Yeah, Man, It Rules 129 Chapter 11: Differentiation and the Shape of Curves 149 Chapter 12: Your Problems Are Solved: Differentiation to the Rescue! 173 Chapter 13: More Differentiation Problems: Going Off on a Tangent 195 Part V: Integration and Infinite Series 209 Chapter 14: Intro to Integration and Approximating Area 211 Chapter 15: Integration: It's Backwards Differentiation 235 Chapter 16: Integration Techniques for Experts 265 Chapter 17: Forget Dr. Phil: Use the Integral to Solve Problems 289 Chapter 18: Taming the Infinite with Improper Integrals 309 Chapter 19: Infinite Series 321 Part VI: The Part of Tens 345 Chapter 20: Ten Things to Remember 347 Chapter 21: Ten Things to Forget 349 Chapter 22: Ten Things You Can't Get Away With 351 Index 353
