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18.01: Single Variable Calculus - Fall 2009 |
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(PDF version: Syllabus)
| DIFFERENTIATION | ||
| Wed, Sept. 9 | 0. | Review of Graphing |
| Thu, Sept. 10 | 1. | Derivatives, slope, velocity, rate of change |
| Fri, Sept. 11 | 2. | Limits, continuity, trigonometric limits |
| Tue, Sept. 15 | 3. | Derivatives of products, quotients, sine, cosine |
| Thu, Sept. 17 | 4. | Chain rule, higher derivatives |
| Fri, Sept. 18 | 5. | Implicit differentiation, inverses PS 1 DUE |
| Tue, Sept. 22 | 6. | Exponential and log, logarithmic differentiation |
| Thu, Sept. 24 | 7. | Hyperbolic functions and Review for Exam 1 |
| Fri, Sept. 25 | 8. | EXAM 1 (covering Lectures 1-7) |
| APPLICATIONS OF DIFFERENTIATION | ||
| Tue, Sept. 29 | 9. | Linear and quadratic approximation |
| Thu, Oct. 1 | 10. | Curve sketching |
| Fri, Oct. 2 | 11. | Max-min problems PS 2 DUE |
| Tue, Oct. 6 | 12. | Related rates |
| Thu, Oct. 8 | 13. | Newton's method and other applications |
| Fri, Oct. 9 | 14. | Mean value theorem, inequalities PS 3 DUE |
| Tue, Oct. 13 | - | Columbus Day Schedule - Monday recitation |
| Thu, Oct. 15 | 15. | Differentials, antiderivatives |
| Fri, Oct. 16 | 16. | Differential equations, separation of variables PS 4 DUE |
| Tue, Oct. 20 | 17. | EXAM 2 (covering Lectures 9-16) |
| INTEGRATION WITH APPLICATIONS | ||
| Thu, Oct. 22 | 18. | Definite integrals |
| Fri, Oct. 23 | 19. | First fundamental theorem of calculus |
| Tue, Oct. 27 | 20. | Second fundamental theorem of calculus, defn. of log |
| Thu, Oct. 29 | 21. | Areas between curves, volume by slicing |
| Fri, Oct. 30 | 22. | Volume by disks and shells PS 5 DUE |
| Tue, Nov. 3 | 23. | Work, average value, probability |
| Thu, Nov. 5 | 24. | Numerical integration |
| Fri, Nov. 6 | 25. | Improper integrals, Review for Exam 3 PS 6 DUE |
| Tue, Nov. 10 | 26. | EXAM 3 (covering Lectures 18-25) |
| Wed, Nov. 11 | - | Veterans Day - No Class Held |
| TECHNIQUES OF INTEGRATION | ||
| Thu, Nov 12 | 27. | Trigonometric integrals |
| Fri, Nov 13 | 28. | Integration by inverse substitution, completing the square |
| Tue, Nov. 17 | 29. | Partial fractions |
| Thu, Nov. 19 | 30. | Integration by parts, reduction formulas |
| Fri, Nov. 20 | 31. | Parametric equations, arc length, surface area PS 7 DUE |
| Tue, Nov. 24 | 32. | Calculus using parametric equations |
| Wed-Fri, Nov. 25-27 | - | Thanksgiving Break - No Class Held |
| Tue, Dec. 1 | 33. | Review for Exam 4 PS 8 DUE |
| Thu, Dec. 3 | 34. | EXAM 4 (covering Lectures 27-33) |
| INFINITE SERIES | ||
| Fri, Dec. 4 | 35. | Infinite series, convergence tests |
| Tue, Dec. 8 | 36. | Taylor series |
| Thu, Dec. 10 | 37. | More on series, Review for Final Exam |
| TBA Dec. 14-18 | 38. | FINAL EXAM |
Last updated Monday, 23-Nov-2009 13:47:25 EST