| Date
|
Topics |
Reading |
| Feb. 3 (T) |
1. Functions,
graphs, limits, continuity |
Notes G, C |
| Feb. 5 (R) | 2. Tangents,
derivatives, rates of change |
Simmons 2.1 - 2.3 |
| Feb. 6 (F) |
3. Velocity,
trigonometric functions and limits |
Simmons 2.4, 2.5 |
| Feb. 10 (T) |
4. Differentiation
rules, chain rule |
Simmons 3.1 - 3.3 |
| Feb. 12 (R) |
5. Exponential/trigonometric
derivatives |
Simmons 3.4, 8.1 - 8.3, 9.1, 9.2, 9.4 |
| Feb. 13 (F) |
6. Implicit
differentiation, inverse functions (in recitation), higher order derivatives |
Simmons 3.5, 3.6 |
| Feb. 17 (T) |
President's Day: Monday Recitation Schedule |
|
| Feb. 19 (R) | 7. Related rates | Simmons 4.5 |
| Feb. 20 (F) |
8. Curve sketching, Maxima and
minima |
Simmons 4.1 - 4.4 |
| Feb. 24 (T) |
9. Intedeterminate
limits and L'Hospital's rule, linear and quadratic approximation |
Simmons 12.1 - 12.3, Notes A, |
| Feb. 26 (R) |
10. Mean value
theorem, review for Midterm I |
Simmons 2.6 |
| Feb. 27 (F) |
11.
Midterm
I (in class) |
|
| Mar. 3 (T) |
12. Areas under
curves, definite integrals, Riemann integrals |
Simmons 6.1, 6.2, 6.4, 6.5 |
| Mar. 5 (R) |
13. Summation
formulas, evaluation of integrals, First fundamental theorem of calculus |
Simmons 6.3, 6.6 |
| Mar. 6 (F) |
14. Second fundamental
theorem of calculus, antiderivatives |
Simmons 6.6, 5.3 Notes FT |
| Mar. 10 (T) |
15. Properties
of integrals, change of variables |
Simmons 6.7, Notes PI |
| Mar. 12 (R) |
16. Differential
equations, separation of variables, exponential growth and decay |
Simmons 5.4, 8.5 |
| Mar. 13 (F) |
17. Area between
two curves, volumes, disk method |
Simmons 7.1, 7.2, 7.3 |
| Mar. 17 (T) |
18. Cylindrical
shells |
Simmons 7.4 |
| Mar. 19 (R) |
19. Arc length,
surfaces of revolution |
Simmons 7.5, 7.6 |
| Mar. 20 (F) |
20. Work |
Simmons 7.7 |
| Mar. 23 - 27 |
Spring Break: No class |
|
| Mar. 31 (T) |
21. Inverse
substitution, Basic trigonometric integrals. |
Simmons
10.1, 10.2, 9.3 |
| Apr. 2 (R) |
22. Review for Midterm II |
|
| Apr. 3 (F) |
23. Midterm II (in class) | |
| Apr. 7 (T) |
24. Inverse
trigonometric functions, reduction formulas |
Simmons
9.5, 10.3 |
| Apr. 9 (R) |
25. Trigonometric integral formulas, trigonometric substitution | Simmons 10.3, 10.4 |
| Apr. 10 (F) |
26. Completing the square | Simmons 10.5 |
| Apr. 14 (T) |
27. Partial fractions | Simmons
10.6, Notes F |
| Apr. 16 (R) |
28. Integration by parts | Simmons 10.7, 10.8 |
| Apr. 17 (F) |
29. Improper
integrals |
Simmons 12.4, Notes INT |
| Apr. 21 (T) |
Patriot's
Day: No class |
|
| Apr. 23 (R) |
30. Infinite
series, convergence |
Simmons 13.1, 13.2 |
| Apr. 24 (F) |
31. Divergent
series, comparison tests |
Simmons 13.3 - 13.5 |
| Apr. 28 (T) |
32. Integral
test, alternating series |
Simmons 13.6, 13.8 |
| Apr. 30 (R) |
33. Review for Midterm III |
|
| May 1 (F) |
34.
Midterm
III (in class) |
|
| May 5 (T) |
35. Introduction
to power series |
Simmons 14.1 - 14.4 |
| May 7 (R) |
36. Hyperbolic functions,
Taylor series |
Simmons 14.5, 9.7 |
| May 8 (F) |
37. Power series and limits,
Remainder terms |
Notes P1 - P3 |
| May 12 (T) |
38. Normal
distribution |
Simmons
12.5, Notes P4 |
| May 14 (R) |
39. Final review |
|
| May 20 (W) |
Final Exam 9:00 - 12:00, Room 2-139 |