| Dates |
Topic | Read |
Problem Set |
| 1/22, M - 1/29, M |
Mathematical induction | Chapter 1 |
#1
|
| The Completeness Axiom |
| 1/30, Tu - 2/5, M |
Limits of sequences | Sections 7-9 |
#2
|
| Limit theorems for sequences |
| 2/6, Tu - 2/12, M |
Cauchy sequences | Sections 9-11 |
#3
|
| Subsequences |
| 2/13, Tu - 2/19, M |
More on subsequences | Sections 11,12 |
#4
|
| lim inf and lim sup |
| 2/20, Tu - 2/26, M |
Series | Sections 14,15 |
#5
|
| Convergence tests for series |
| 2/27, Tu - 2/28, W |
Review for Midterm I | Sections 1-5,7-12,14,15 |
none
|
| 2/29, Th |
Midterm I: joint for MAT 319 and 320; snow date: 3/5, Tu;
info
|
| 3/4, M |
Overview of Midterm I; separate for 319/20 |
| 3/5, Tu - 3/7, Th | Metric spaces |
Section 13 |
#6
|
| Convergence, compactness |
| 3/11, M - 3/14, Th |
no classes, no office hours |
| 3/18, M - 3/25, M | More on compactness |
pp171-179 |
|
| More on completeness, connectedness |
| 3/26, Tu - 4/1, M | Continuous functions |
Sections 21,22,17-20 |
|
|
| 4/2, Tu - 4/3, W |
Review for Midterm II | Sections 13,21,22,17-20 |
none
|
| 4/4, Th |
Midterm II |
| 4/8, M |
Overview of HW8 and Midterm II |
| 4/9, Tu - 4/15, M |
Uniform convergence | Sections 23-26 |
|
| Power series |
| 4/16, Tu - 4/22, M |
Weierstrass Approximation Theorems | Section 27 |
|
| 4/23, Tu - 4/29, M |
Riemann Integral | Sections 32-34 |
|
| 4/30, Tu - 5/2, Th |
Review for Final Exam | everything above |
none |
| 5/14, Tu |
final exam, 11:15am-1:45pm
|