info : http://www.teach12.com/ttcx/coursedesclong2.aspx?cid=1007
Understanding Calculus: Problems, Solutions, and Tips
Course No. 1007 (36 lectures, 30 minutes/lecture)
Taught by Bruce H. Edwards
University of Florida
Ph.D., Dartmouth College
Video: Xvid 640x480 29.97fps
Audio: MPEG Audio Layer 3 48000Hz stereo 128kbps
Description :
Understanding Calculus: Problems, Solutions, and Tips immerses you in the unrivaled learning adventure of this mathematical field in 36 half-hour lectures that cover all 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 the beautiful ideas of calculus, frequent study tips, pitfalls to avoid, and—best of all—hundreds of examples and practice problems that are specifically designed to explain and reinforce major concepts, this course will be your sure and steady guide to conquering calculus.
Your teacher for this intensively illustrated DVD set is Professor Bruce H. Edwards, an award-winning instructor at the University of Florida and the coauthor of a best-selling series of calculus textbooks.
Course Lecture Titles:
01. A Preview of Calculus
02. Review—Graphs, Models, and Functions
03. Review—Functions and Trigonometry
04. Finding Limits
05. An Introduction to Continuity
06. Infinite Limits and Limits at Infinity
07. The Derivative and the Tangent Line Problem
08. Basic Differentiation Rules
09. Product and Quotient Rules
10. The Chain Rule
11. Implicit Differentiation 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—Differentiation
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. Differential Equations and Slope Fields
36. Applications of Differential Equations
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