Make calculus more manageable with simplified instruction and tons of practice Calculus All-in-One For Dummies pairs no-nonsense explanations of calculus content with practical examples and practice problems, so you can untangle the difficult concepts and improve your score in any calculus class. Plus, this book comes with access to chapter quizzes online. Dummies makes differentiation, integration, and everything in between more manageable, so you can crush calculus with confidence. Review the foundational basics, then dive into calc lessons that track your class. This book takes you through a full year of high-school calculus or a first semester of college calculus, only explained more clearly. • Work through easy-to-understand lessons on everything in a typical calc class • Get the score you want and need on standardized tests like AP Calculus • Access online chapter quizzes for additional practice • Untangle tricky problems and discover clever ways to solve themWith clear definitions, concise explanations, and plenty of helpful information on everything from limits and vectors to integration and curve-sketching, Calculus All-in-One For Dummies is the must-have resource for students who want to review for exams or just need extra help understanding the concepts from class.
Introduction 1 Unit 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 Unit 2: Warming Up with Calculus Prerequisites 25 Chapter 4: Pre-Algebra, Algebra, and Geometry Review 27 Chapter 5: Funky Functions and Their Groovy Graphs 67 Chapter 6: The Trig Tango 95 Unit 3: Limits 117 Chapter 7: Limits and Continuity 119 Chapter 8: Evaluating Limits 141 Unit 4: Differentiation 181 Chapter 9: Differentiation Orientation 183 Chapter 10: Differentiation Rules - Yeah, Man, It Rules 215 Chapter 11: Differentiation and the Shape of Curves 259 Chapter 12: Your Problems Are Solved: Differentiation to the Rescue! 321 Chapter 13: More Differentiation Problems: Going Off on a Tangent 367 Unit 5: Integration and Infinite Series 397 Chapter 14: Intro to Integration and Approximating Area 399 Chapter 15: Integration: It's Backwards Differentiation 439 Chapter 16: Integration Techniques for Experts 479 Chapter 17: Who Needs Freud? Using the Integral to Solve Your Problems 521 Chapter 18: Taming the Infinite with Improper Integrals 557 Chapter 19: Infinite Series: Welcome to the Outer Limits 581 Index 623
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