Lectures (Video)
- 1. Derivatives
- 2. Trigonometric limits
- 3. Derivatives of products, quotients, sine, cosine
- 4. Chain rule
- 5. Implicit differentiation
- 6. Exponential and log
- 7. Hyperbolic functions
- 9. Linear and quadratic approximations
- 10. Curve sketching
- 11. Max-min problems
- 12. Related Rates
- 13. Newton's method
- 14. Mean value theorem
- 15. Differentials, antiderivatives
- 16. Differential equations, separation of variables
- 18. Definite integrals
- 19. First fundamental theorem of calculus
- 20. Second fundamental theorem
- 21. Applications to logarithms and geometry
- 22. Volumes by disks and shells
- 23. Work, average value, probability
- 24. Numerical integration
- 25. Review
- 26. Trigonometric integrals and substitution
- 28. Integration by inverse substitution
- 29. Partial fractions
- 30. Integration by parts, reduction formulae
- 31. Parametric equations
- 32. Polar coordinates
- 33. Review II
- 34. Indeterminate forms
- 35. Improper integrals
- 36. Infinite series and convergence tests
- 37. Taylor's series
- 38. Final review
Calculus I - Lecture 33
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Lecture 33 - Review II
Prof. David Jerison
18.01 Single Variable Calculus, Fall 2006 (Massachusetts Institute of Technology: MIT OpenCourseWare) http://ocw.mit.edu Date accessed: 2008-12-23 License: Creative Commons BY-NC-SA |
Lecture Material
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