The Complete Idiots Guide to Calculus (2nd Edition) by W. Michael Kelley
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The Complete Idiots Guide to Calculus (2nd Edition) by
W. Michael Kelley .
Most people would like to learn calculus as much as they’d like to be kicked in the face by a mule. Usually, they have to take the course because it’s required or they walked too close to the mule, in that order. Calculus is dull, calculus is boring, and calculus didn’t even get you anything for your birthday.
It’s not like you didn’t try to understand calculus. You even got this bright idea to try and read your calculus textbook. What a joke that was. You’re more likely to receive the Nobel Prize for chemistry than to understand a single word of it. Maybe you even asked a friend of yours to help you, and talking to her was like trying to communicate with an Australian aborigine. You guys just didn’t speak the same language.
You wish someone would explain things to you in a language that you understand, but in the back of your mind, you know that the math lingo is going to come back to haunt you. You’re going to have to understand it in order to pass this course, and you don’t think you’ve got it in you. Guess what? You do!
Here’s the thing about calculus: things are never as bad as they seem. The mule didn’t mean it, and I know this great plastic surgeon. I also know how terrifying calculus is. The only thing scarier than learning it is teaching it to 35 high school students in a hot, crowded room right before lunch. I’ve fought in the trenches at the front line and survived to tell the tale. I can even tell it in a way that may intrigue, entertain, and teach you something along the way.
The Complete Idiots Guide to Calculus (2nd Edition) by
W. Michael Kelley
cover the following topics.
Part 1: The Roots of Calculus
1. What Is Calculus, Anyway?
2. Polish Up Your Algebra Skills
3. Equations, Relations, and Functions, Oh My!
4. Trigonometry: Last Stop Before Calculus
Part 2: Laying the Foundation for Calculus
5. Take It to the Limit
6. Evaluating Limits Numerically
7. Continuity
8. The Difference Quotient
Part 3: The Derivative
9. Laying Down the Law for Derivatives
10. Common Differentiation Tasks
11. Using Derivatives to Graph
12. Derivatives and Motion
13. Common Derivative Applications
Part 4: The Integral
14. Approximating Area
15. Antiderivatives
16. Applications of the Fundamental Theorem
17. Integration Tips for Fractions
18. Advanced Integration Methods
19. Applications of Integration
Part 5: Differential Equations, Sequences, Series, and Salutations
20. Differential Equations
21. Visualizing Differential Equations
22. Sequences and Series
23. Infinite Series Convergence Tests
24. Special Series
25. Final Exam
Appendixes
A. Solutions to “You’ve Got Problems”
B. Glossary
Index
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