| Lecture |
Date |
Section |
Topic |
Homework |
Collected Problems |
| 1 |
8/24 |
|
No Class |
| |
| 2 |
8/26 |
|
No Class
|
| |
| 3 |
8/29 |
2 |
Quantifiers |
Section 2# 2, 3, 7, 9, 12, 14
| |
| 4 |
8/31 |
3 |
Techniques of Proof I |
Section 3# 1, 3, 4, 6, 7 | Homework #1 |
| 5 |
9/2 |
4 |
Techniques of Proof II |
Section 4# 9, 10, 11, 14, 21 | |
| 6 |
9/5 |
5 |
Basic Set Operations |
Section 5# 12, 15, 19, 25
| |
| 7 |
9/7 |
6 |
Relations |
Section 6# 11(a,d,e,h), 12(c,d,e,f), 20, 22, 25 | Homework #2 |
| 8 |
9/9 |
7 |
Functions |
Section 7# 7, 13, 20, 33 | |
| 9 |
9/12 |
10 |
Natural Numbers and Induction |
Section 10# 3, 6, 14, 22 | |
| 10 |
9/14 |
|
Induction Workshop (solutions) |
| |
| 11 |
9/16 |
11 |
Order Fields |
Section 11# 5, 6, 7, 12 | |
| 12 |
9/19 |
12 |
The Completeness Axiom |
Section 12# 3, 8, 9, 10 | |
| 13 |
9/21 |
|
Completeness Workshop (solutions) |
| Homework #3 |
| 14 |
9/23 |
13 |
Topology of the Reals |
Section 13# 1,3,4,5 | |
| 15 |
9/26 |
13 |
Topology of the Reals - con'd |
Section 13# 2, 6, 9 | |
| 16 |
9/28 |
|
Topology Workshop (solutions) |
| |
| 17 |
9/30 |
14 |
Compact Sets |
Section 14# 1, 2, 3, 4 | |
| 18 |
10/3 |
|
Review |
| |
| 19 |
10/5 |
|
Midterm 1 |
| Homework #4 |
| 20 |
10/7 |
16 |
Sequences |
Section 16# 2, 6, 10 | |
| 21 |
10/10 |
16 |
Sequences - con'd |
Section 16# 7, 8, 9 | |
| 22 |
10/12 |
|
Sequences Workshop (Solutions) |
| Homework #5 |
| 23 |
10/14 |
17 |
Limit Theorems |
Section 17# 1, 3 | |
| 24 |
10/17 |
|
No Class
|
| |
| 25 |
10/19 |
18 |
Monotone and Cauchy Sequences |
Section 18# 1, 3, 4, 7 | Homework #6 |
| 26 |
10/21 |
19 |
Subsequences |
| |
| 27 |
10/24 |
19 |
Limit Superior and Limit Inferior |
Section 19# 3, 4, 6 | |
| 28 |
10/26 |
|
Subsequences Workshop |
| Homework #7 |
| 29 |
10/28 |
20 |
Limits of Functions |
Section 20# 2, 3, 4 | |
| 30 |
10/31 |
21 |
Continuous Functions |
| |
| 31 |
11/2 |
|
Functions Workshop |
| |
| 32 |
11/4 |
22 |
Properties of Continuous Functions |
| |
| 33 |
11/7 |
22 |
Properties of Continuous Functions - con'd |
| |
| 34 |
11/9 |
|
Continuity Workshop |
| Homework #8 |
| 35 |
11/11 |
25 |
The Derivative |
| |
| 36 |
11/14 |
|
Review |
| |
| 37 |
11/16 |
|
Midterm 2 |
| |
| 38 |
11/18 |
26 |
Mean Value Theorem |
| |
| 39 |
11/21 |
|
MVT Workshop |
| |
| 40 |
11/23 |
|
No Class
|
| |
| 41 |
11/25 |
|
No Class
|
| |
| 42 |
11/28 |
27 |
L'Hospital's Rule |
| |
| 43 |
11/30 |
28 |
Taylor's Theorem |
| |
| 44 |
12/2 |
28 |
Taylor's Theorem - con'd |
| |
| 45 |
12/5 |
|
Taylor's Theorem Workshop
|
| |