| Week # |
Date |
Sections |
Topics |
Homework assignment |
| Throughout |
Precalculus and Math 19, 20 material |
See the
precalculus page. |
|
| 1 |
9/22-9/25 |
§ 3.7 |
Review of limits and integration; Improper integral of Type I - infinite interval.
|
Homework 1 (due 9/30)
|
| 2 |
9/28-10/2 |
§ 3.7 |
DCT and LCT for improper integral of Type I; Improper integral of Type II - finite interval with infinite discontinuity. |
Homework 2 (due 10/7)
|
| 3 |
10/5-10/9 |
§ 5.1, 5.2 |
Sequences and convergence; growth rates; Bounded and monotone sequences; Series and divergence test.
|
Homework 3 (due 10/14)
|
Midterm 1 on Thursday, October 15 5:30-7pm
Topics are those covered in the first three weeks of the course.
You can find more information on the Exams page.
|
| 4 |
10/12-10/16 |
§ 5.3, 5.4 |
Integral test and p-test; DCT and remainder estimates.
|
Homework 4 (due 10/21)
|
| 5 |
10/19-10/23 |
§ 5.4, 5.5, 5.6 |
LCT, absolute and conditional convergence, ACT, AST.
|
Homework 5 (due 10/28)
|
| 6 |
10/26-10/30 |
§ 6.1 |
Ratio and Root tests, Power series and interval of convergence.
|
Homework 6 (due 11/4)
|
Midterm 2 on Thursday, November 5 5:30-7pm
This exam is cumulative but will focus more heavily on those topics from Weeks 4 through 6.
You can find more information on the Exams page.
|
| 7 |
11/2-11/6 |
§ 6.2 |
Manipulating power series: differentiating, integrating, and multiplying power series.
|
Homework 7 (due 11/11)
|
| 8 |
11/9-11/13 |
§ 6.3 |
Taylor polynomials and series: Taylor's Theorem; Error estimates.
|
Homework 8 (due 11/18)
|
| 9 |
11/6-11/20 |
§ 6.4 |
Binomial series; New Taylor series from old; Limites and integrals involving Taylor series.
|
Homework 9 (due 12/2)
|
| 10 |
11/30-12/4 |
§ 6.4 |
Solving differential equations with Taylor series; Review of Series; Final Exam Review.
|
Final exam on Tuesday, December 8 12:15-3:15pm in TBD
This exam is comprehensive but will more heavily emphasize those topics from Weeks 7 through 9.
See the Exams page for more information.
|