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Discover How to Understand
the Secrets of Calculus
Calculus is one of history’s greatest mathematical breakthroughs, is
crucial for improving cognitive skills, and is a prerequisite for admission
to top universities. Understanding Calculus: Problems, Solutions,
and Tips immerses you in this important mathematical field in 36
lectures that cover the major topics of a full-year calculus course in high
school at the College Board Advanced Placement AB level or a first-semester course in college.
With crystal-clear explanations of ideas and concepts, frequent study
tips, pitfalls to avoid, and hundreds of examples and practice problems,
these 36 lectures are your guide to conquering calculus. Award-winning
Professor Bruce H. Edwards, coauthor of a best-selling series of calculus
textbooks, has crafted an extensively illustrated course suited for anyone
who wants to leap into this powerful intellectual achievement. With his
exceptional teaching, you’ll come away with a deeper appreciation of the
beauty of calculus—and a powerful tool for unlocking the
secrets of the world.
O;er expires 11/23/11
1-800-832-2412
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Understanding Calculus:
Problems, Solutions,
and Tips
Taught by Professor Bruce H. Edwards
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1. A Preview of Calculus
2. Review—Graphs, Models, and Functions
3. Review—Functions and Trigonometry
4. Finding Limits
5. An Introduction to Continuity
6. Infinite Limits and Limits at Infinity
7. The Derivative and the Tangent Line Problem
8. Basic Di;erentiation Rules
9. Product and Quotient Rules
10. The Chain Rule
11. Implicit Di;erentiation and Related Rates
12. Extrema on an Interval
13. Increasing and Decreasing Functions
14. Concavity and Points of Inflection
15. Curve Sketching and Linear Approximations
16. Applications—Optimization Problems, Part 1
17. Applications—Optimization Problems, Part 2
18. Antiderivatives and Basic Integration Rules
19. The Area Problem and the Definite Integral
20. The Fundamental Theorem of Calculus, Part 1
21. The Fundamental Theorem of Calculus, Part 2
22. Integration by Substitution
23. Numerical Integration
24. Natural Logarithmic Function—Di;erentiation
25. Natural Logarithmic Function—Integration
26. Exponential Function
27. Bases other than e
28. Inverse Trigonometric Functions
29. Area of a Region between 2 Curves
30. Volume—The Disk Method
31. Volume—The Shell Method
32. Applications—Arc Length and Surface Area
33. Basic Integration Rules
34. Other Techniques of Integration
35. Di;erential Equations and Slope Fields
36. Applications of Di;erential Equations
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Understanding Calculus:
Problems, Solutions, and Tips
Course no. 1007 | 36 lectures (30 minutes/lecture)
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