- 259 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
About this book
"
A marvelous, user-friendly introduction. . . . The book that 100,000 calculus students have been searching for is finally here." ?Ron Graham, Chief Scientist, AT&T Labs, former President of the American Mathematical Society, and author of
Concrete Mathematics: A Foundation of Computer Science
Written by three gifted-and funny-teachers,
How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams—all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible,
How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.
"Comic opera meets college math in this amusing and edifying roller coaster of an introduction to calculus." ?Ivars Peterson, author of The Mathematical Tourist
"Can a calculus book be lighthearted and engaging? Surprisingly, yes, and here is one that does the job." ?Thomas Banchoff, Professor of Mathematics, Brown University, President-Elect of the Mathematics Association of America, and author of
Beyond the Third Dimension
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Information
Table of contents
- Cover
- Title Page
- Copyright Notice
- Dedication
- 1. Introduction
- 2. Exactly Who and What Is Your Instructor?
- 3. General Principles of Acing Calculus
- 4. Good and Bad Questions
- 5. Are You Ready? Calc Prereqs
- 6. How to Handle the Exam
- 7. Lines, Circles, and Their Friends
- 8. Limits: You Gotta Have Them
- 9. Continuity, or Why You Shouldn’t Ski Down Discontinuous Slopes
- 10. What Is the Derivative? Change Is Good
- 11. Limit Definition of the Derivative: Finding Derivatives the Hard Way
- 12. Derivatives: How to Find Them the Easy Way
- 13. Velocity: Put the Pedal to the Metal
- 14. Chain Rule: S&M Made Easy
- 15. Graphing: How to Doodle Like an Expert
- 16. Maxima and Minima: The Bread and Butter Section
- 17. Implicit Differentiation: Let’s Be Oblique
- 18. Related Rates: You Change, I Change
- 19. Differential: Estimating Your Way to Fame and Glory
- 20. Intermediate Value Theorem and Mean Value Theorem
- 21. Integration: Doing It All Backward
- 22. The Definite Integral
- 23. Modeling: From Toy Planes to the Runway
- 24. Exponents and Logarithms: A Review of All That “e” Hoopla
- 25. Doing That Calc Thing to Exponents and Logs
- 26. Logarithmic Differentiation: Making the Hard Stuff Easy
- 27. Exponential Growth and Decay: Rise and Fall of Slime
- 28. Fancy-Pants Techniques of Integration
- 29. Twenty Most Common Exam Mistakes
- 30. What’s on the Final?
- Glossary: A Quick Guide to the Mathematical Jargon
- Index
- Just the Facts: Quick Reference Guide
- About the Authors
- Newsletter Sign-up
- Contents
- Copyright