Understanding calculus : problems, solutions, and tips / the Teaching Company.

Understanding calculus : problems, solutions, and tips /

Calculus is the greatest mathematical breakthrough since the pioneering discoveries of the ancient Greeks. Without it, there would be no spaceflight, skyscrapers, jet planes, economic modeling, or accurate weather forecasting. One of the most powerful problem solving tools ever invented, calculus is...

Full description

Saved in:
Bibliographic Details
Corporate Author: Teaching Company
Other Authors: Edwards, Bruce H., 1946- (Speaker), Costanza, Matt (Producer)
Format: Video DVD
Language:English
Published: Chantilly, VA : The Teaching Company, [2010]
Series:Great courses (DVD). Science & mathematics.
Subjects:
Calculus.
Integrals.
Motion.
Space and time.
Calculus, Integral.
Differential calculus.
Mathematical analysis.
Mathematical optimization.
Calculus > Study and teaching.
Calculus > Problems, exercises, etc.
Lectures.
Educational films.
Nonfiction films.
Short films.
Instructional films.
Table of Contents:
  • Part 1: Disc 1. Lecture 1. A preview of calculus ; Lecture 2. Review: Graphs, models, and functions ; Lecture 3. Review: Functions and trigonometry ; Lecture 4. Finding limits ; Lecture 5. An introduction to continuity ; Lecture 6. Infinite limits and limits at infinity
  • Disc 2. Lecture 7. The derivative and the tangent line problem ; Lecture 8. Basic differentiation rules ; Lecture 9. Product and quotient rules ; Lecture 10. The chain rule ; Lecture 11. Implicit differentiation and related rates ; Lecture 12. Extrema on an interval.
  • Part 2: Disc 3. Lecture 13. Increasing and decreasing functions ; Lecture 14. Concavity and points of inflection ; Lecture 15. Curve sketching and linear approximations ; Lecture 16. Applications: Optimization problems, part 1 ; Lecture 17. Applications: Optimization problems, part 2 ; Lecture 18. Antiderivatives and basic integration rules
  • Disc 4. Lecture 19. The area problem and the definite integral ; Lecture 20. The fundamental theorem of calculus, part 1 ; Lecture 21. The fundamental theorem of calculus, part 2 ; Lecture 22. Integration by substitution ; Lecture 23. Numerical integration ; Lecture 24. Natural logarithmic function, differentiation.
  • Part 3: Disc 5. Lecture 25. Natural logarithmic function, integration ; Lecture 26. Exponential function ; Lecture 27. Bases other than e ; Lecture 28. Inverse trigonometric functions ; Lecture 29. Area of a region between 2 curves ; Lecture 30. Volume, the disk method
  • Disc 6. Lecture 31. Volume, the shell method ; Lecture 32. Applications, arc length and surface area ; Lecture 33. Basic integration rules ; Lecture 34. Other techniques of integration ; Lecture 35. Differential equations and slope fields ; Lecture 36. Applications of differential equations.

Similar Items