How to Ace Calculus: The Streetwise Guide PDF

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.

Chapter List (107 chapters):

• Chapter 1: How to Ace Calculus: The Streetwise Guide
• Chapter 2: Title Page
• Chapter 3: Copyright Notice
• Chapter 4: Dedication
• Chapter 5: 1. Introduction
• Chapter 6: 2. Exactly Who and What Is Your Instructor?
• Chapter 7: 2.1 Choosing an instructor
• Chapter 8: 2.2 What to expect from your instructor
• Chapter 9: 2.3 How to deal with your instructor
• Chapter 10: 3. General Principles of Acing Calculus
• Chapter 11: 4. Good and Bad Questions
• Chapter 12: 4.1 Why ask questions?
• Chapter 13: 4.2 Some sample questions
• Chapter 14: 4.3 Questions not to ask
• Chapter 15: 5. Are You Ready? Calc Prereqs
• Chapter 16: 5.1 What you think you learned
• Chapter 17: 5.2 What you really need to know on the first day of class
• Chapter 18: 5.3 Computers and calculators: Our 2-bit friends
• Chapter 19: 6. How to Handle the Exam
• Chapter 20: 6.1 What will be on the exam
• Chapter 21: 6.2 How to study
• Chapter 22: 6.3 How not to study for the exam
• Chapter 23: 6.4 Taking the exam
• Chapter 24: 7. Lines, Circles, and Their Friends
• Chapter 25: 7.1 Cartesian plane
• Chapter 26: 7.2 General graphing tricks: The parable of the parabola
• Chapter 27: 7.3 Lines
• Chapter 28: 7.4 Circles
• Chapter 29: 7.5 Ellipses, parabolas, and hyperbolas
• Chapter 30: 8. Limits: You Gotta Have Them
• Chapter 31: 8.1 Basic idea
• Chapter 32: 8.2 General procedure for taking a limit
• Chapter 33: 8.3 One-sided limits
• Chapter 34: 8.4 Limits of weird functions
• Chapter 35: 8.5 Calculators and limits
• Chapter 36: 9. Continuity, or Why You Shouldn’t Ski Down Discontinuous Slopes
• Chapter 37: 9.1 The idea
• Chapter 38: 9.2 Three conditions for continuity
• Chapter 39: 10. What Is the Derivative? Change Is Good
• Chapter 40: 11. Limit Definition of the Derivative: Finding Derivatives the Hard Way
• Chapter 41: 11.1 Defining the derivative
• Chapter 42: 11.2 Other forms for the limit definition of the derivative
• Chapter 43: 12. Derivatives: How to Find Them the Easy Way
• Chapter 44: 12.1 Basic rules of differentiation
• Chapter 45: 12.2 Power rule
• Chapter 46: 12.3 Product rule
• Chapter 47: 12.4 Quotient rule
• Chapter 48: 12.5 Derivatives of trig functions
• Chapter 49: 12.6 Second derivatives, third derivatives, and so on
• Chapter 50: 13. Velocity: Put the Pedal to the Metal
• Chapter 51: 13.1 Velocity as a derivative
• Chapter 52: 13.2 Position and velocity of a car
• Chapter 53: 13.3 Velocity of a falling object
• Chapter 54: 14. Chain Rule: S&M Made Easy
• Chapter 55: 15. Graphing: How to Doodle Like an Expert
• Chapter 56: 15.1 Graphing functions
• Chapter 57: 15.2 Tricky graphs that can trip you up
• Chapter 58: 15.3 Second derivative test
• Chapter 59: 15.4 Concavity
• Chapter 60: 16. Maxima and Minima: The Bread and Butter Section
• Chapter 61: 16.1 Maxima and minima over closed intervals
• Chapter 62: 16.2 Applied max-min problems
• Chapter 63: 17. Implicit Differentiation: Let’s Be Oblique
• Chapter 64: 18. Related Rates: You Change, I Change
• Chapter 65: 19. Differential: Estimating Your Way to Fame and Glory
• Chapter 66: 20. Intermediate Value Theorem and Mean Value Theorem
• Chapter 67: 20.1 Intermediate value theorem: It ain’t a sandwich unless there’s something between the bread
• Chapter 68: 20.2 Mean value theorem: Steep is steep
• Chapter 69: 21. Integration: Doing It All Backward
• Chapter 70: 21.1 Indefinite integral
• Chapter 71: 21.2 Integration method: The easy ones
• Chapter 72: 21.3 Integration method: Substitution
• Chapter 73: 21.4 Integration method: Eyeball technique
• Chapter 74: 21.5 Integration method: Tables
• Chapter 75: 21.6 Integration method: Computers and calculators
• Chapter 76: 22. The Definite Integral
• Chapter 77: 22.1 How to find the definite integral
• Chapter 78: 22.2 Area
• Chapter 79: 22.3 Fundamental theorem of calculus
• Chapter 80: 22.4 Some basic rules for definite integrals
• Chapter 81: 22.5 Integration method: Numerical approximation
• Chapter 82: 22.6 Riemann sum—with nitty gritty details
• Chapter 83: 23. Modeling: From Toy Planes to the Runway
• Chapter 84: 23.1 Real-life problem
• Chapter 85: 24. Exponents and Logarithms: A Review of All That “e” Hoopla
• Chapter 86: 24.1 Exponents
• Chapter 87: 24.2 Logarithms
• Chapter 88: 25. Doing That Calc Thing to Exponents and Logs
• Chapter 89: 25.1 Differentiating ex and its friends
• Chapter 90: 25.2 Integrating ex and its friends
• Chapter 91: 25.3 Differentiating the natural log
• Chapter 92: 25.4 Working with other bases
• Chapter 93: 25.5 Integrals and the natural log
• Chapter 94: 26. Logarithmic Differentiation: Making the Hard Stuff Easy
• Chapter 95: 27. Exponential Growth and Decay: Rise and Fall of Slime
• Chapter 96: 28. Fancy-Pants Techniques of Integration
• Chapter 97: 28.1 Integration method: Integration by parts
• Chapter 98: 28.2 Integration method: Trigonometric substitution
• Chapter 99: 28.3 Integration method: Partial fractions
• Chapter 100: 29. Twenty Most Common Exam Mistakes
• Chapter 101: 30. What’s on the Final?
• Chapter 102: Glossary: A Quick Guide to the Mathematical Jargon
• Chapter 103: Index
• Chapter 104: Just the Facts: Quick Reference Guide
• Chapter 105: About the Authors
• Chapter 106: Newsletter Sign-up
• Chapter 107: Copyright

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kristinbell_1

(5+ stars) This is THE BEST Calculus study guide out on the market! It is clear and thorough, and you will seriously ace your Calculus class if you read this book. I'm not kidding. The authors make the stuff fun, but not in that talking down to you cutesy way that makes you want to vomit. If you go to class and come home scratching your head about what the teacher was saying, just read the appropriate section in this book and you'll suddenly go "Wow! This makes perfect sense! Why the hell can't my teacher teach like this. " There is also another book in the series about the rest of Calculus which covers the second half of a year or so. I also highly recommend that book. Anyway, just get this book and read it. Calculus will make SO MUCH more sense! Even if you are an A student already, this will really cement the concepts in your brain enough so that you can turn around and teach other people what you've learned! I'm not a math geek, but I give this book 5 stars! And, yes, I did get an A in Calculus!

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