Week |
Starting date
| Sections | Remarks |
1 |
Aug. 30
| 5.1-5.4 |
Review of definition of integral and Fundamental Theorem. Spans 2 weeks for R6-R10 |
2 |
Sept. 13
| 5.5, 5.6, 5.7 |
Methods of integration: substitution, parts, partial fractions. |
3 |
Sept 20
| 5.8, 5.9, 5.10 |
Integral tables. Approximate integration. Improper integrals |
4 |
Sept. 27
| 6.1, 6.2 |
Computing areas and volumes |
5 |
Oct. 4
| 6.3, 6.4, 6.5 |
Cylindrical shells. Arclength; average value; MIDTERM THIS WEEK |
6 |
Oct. 11
| 6.6, 7.1 |
applications to physics and engineering., Modeling with differential equations |
7 |
Oct. 18
| 7.2, 7.3 |
Line fields; Euler's method; Separable equations |
8 |
Oct. 25
| 7.4, 7.5 |
exponential growth and decay; The logistic equation. |
9 |
Nov. 1
| 7.6, App. I |
Predator-Prey systems; Complex numbers briefly. MIDTEM THID WEEK |
10 |
Nov. 8
| 8.1, 8.2, 8.3 |
Sequences, series; convergence tests |
11 |
Nov. 15
| 8.3, 8.4 |
More convergence tests |
12 |
Nov. 22
| 8.5 |
Power series. No class Friday |
13 |
Nov. 29
| 8.6, 8.7 |
Functions as power series; Taylor and MacLaurin series |
14 |
Dec. 6
| 8.7, 8.8 |
Binomial series; applications of Taylor series. Classes end Dec. 10 |