Slay the calculus monster with this user-friendly guide

Calculus For Dummies, 2nd 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, 2nd 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, 2nd Edition provides a roadmap for success, and the backup you need to get there.

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Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.
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Introduction 1

Part 1: An Overview of Calculus 5

Chapter 1: What Is Calculus? 7

Chapter 2: The Two Big Ideas of Calculus: Differentiation and Integration — plus Infinite Series 13

Chapter 3: Why Calculus Works 21

Part 2: Warming Up with Calculus Prerequisites 27

Chapter 4: Pre-Algebra and Algebra Review 29

Chapter 5: Funky Functions and Their Groovy Graphs 43

Chapter 6: The Trig Tango 61

Part 3: Limits 73

Chapter 7: Limits and Continuity 75

Chapter 8: Evaluating Limits 89

Part 4: Differentiation 105

Chapter 9: Differentiation Orientation 107

Chapter 10: Differentiation Rules — Yeah, Man, It Rules 127

Chapter 11: Differentiation and the Shape of Curves 147

Chapter 12: Your Problems Are Solved: Differentiation to the Rescue! 171

Chapter 13: More Differentiation Problems: Going Off on a Tangent 193

Part 5: Integration and Infinite Series 207

Chapter 14: Intro to Integration and Approximating Area 209

Chapter 15: Integration: It’s Backwards Differentiation 233

Chapter 16: Integration Techniques for Experts 263

Chapter 17: Forget Dr Phil: Use the Integral to Solve Problems 285

Chapter 18: Taming the Infinite with Improper Integrals 303

Chapter 19: Infinite Series 315

Part 6: The Part of Tens 339

Chapter 20: Ten Things to Remember 341

Chapter 21: Ten Things to Forget 345

Chapter 22: Ten Things You Can’t Get Away With 349

Index 353

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  • An easy-to-follow introduction to calculus
  • Detailed explanations of differentiation and integration
  • Real-life examples of when calculus comes in handy

Conquer your calculus confusion

If the thought of studying calculus makes you sweat, relax and fret no more! This hands-on, friendly guide makes calculus manageable. It leads you step-by-step through each concept, operation, and solution, explaining the "how" and "why" in plain English. Through detailed instruction and practical examples, you'll soon discover that calculus isn't nearly as bad as it's made out to be!

Inside…

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

ISBN
9781119293491
Publisert
2016-07-19
Utgave
2. utgave
Utgiver
Vendor
For Dummies
Vekt
544 gr
Høyde
234 mm
Bredde
188 mm
Dybde
25 mm
Aldersnivå
G, 01
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
384

Forfatter

Om bidragsyterne

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.