| Lecture |
Date |
Section |
Topic |
Homework |
To Be Collected |
| 1 |
8/28 |
1 |
Logical Connectives
|
1# 8, 10, 11, 13 |
|
| 2 |
8/30 |
2 |
Quantifiers |
2# 2, 3, 7, 12, 14 |
|
| 3 |
9/02 |
3 |
Techniques of Proof I |
3# 3, 4, 6(i,j,k,l) |
|
| 4 |
9/04 |
4 |
Techniques of Proof II |
|
Homework 1 |
| 5 |
9/06 |
5 |
Basic Set Operations |
5# 12, 15, 19, 25 |
|
| 6 |
9/09 |
5 |
Basic Set Operations - con'd
|
6# 11, 12, 13, 15, 20, 21 |
|
| 7 |
9/11 |
6 |
Relations |
|
Homework 2 |
| 8 |
9/13 |
7 |
Functions |
7# 7, 13, 20 |
|
| 9 |
9/16 |
7 |
Functions - con'd |
8# 3, 10 |
|
| 10 |
9/18 |
8 |
Cardinality |
10# 9, 10, 14, 21 |
Homework 3 |
| 11 |
9/20 |
10 |
Natural Numbers and Induction |
11# 4, 5, 6, 7, 11 |
|
| 12 |
9/23 |
11 |
Order Fields |
12# 2, 3, 8, 10 |
|
| 13 |
9/25 |
12 |
The Completeness Axiom |
|
Homework 4 |
| 14 |
9/27 |
13 |
Topology of the Reals |
13# 3, 4, 5 |
|
| 15 |
9/30 |
13 |
Topology of the Reals - con'd |
|
|
| 16 |
10/02 |
|
Review |
|
|
| 17 |
10/04 |
|
Midterm 1 |
|
|
| 18 |
10/07 |
14 |
Compact Sets |
14# 1, 2, 3, 5 |
|
| 19 |
10/09 |
14 |
Compact Sets - con'd
|
|
Homework 5 |
| 20 |
10/11 |
16 |
Sequences |
16# 2, 6, 10 |
|
| 21 |
10/14 |
16 |
Sequences - con'd |
16# 7, 8, 9 |
|
| 22 |
10/16 |
17 |
Limit Theorems |
|
Homework 6 |
| 23 |
10/18 |
18 |
Monotone and Cauchy Sequences |
18# 5, 7, 8 |
|
| 24 |
10/23 |
19 |
Subsequences |
18# 4, 13 |
|
| 25 |
10/25 |
19 |
Limit Superior and Limit Inferior |
19# 3, 12, 18 |
|
| 26 |
10/28 |
20 |
Limits of Functions |
19# 6, 13 |
|
| 27 |
10/30 |
21 |
Continuous Functions |
|
Homework 7 |
| 28 |
11/01 |
22 |
Properties of Continuous Functions |
20# 5, 9; 21# 10 |
|
| 29 |
11/04 |
22 |
Properties of Continuous Functions - con'd |
22# 3 |
|
| 30 |
11/06 |
25 |
The Derivative |
22# 6, 7 |
Homework 8 |
| 31 |
11/08 |
26 |
Mean Value Theorem |
|
|
| 32 |
11/11 |
26 |
Mean Value Theorem - con'd |
26# 6, 10 |
|
| 33 |
11/13 |
|
Review |
|
|
| 34 |
11/15 |
|
Midterm 2 |
|
|
| 35 |
11/18 |
27 |
L'Hospital's Rule |
|
|
| 36 |
11/20 |
28 |
Taylor's Theorem |
|
Homework 9 |
| 37 |
11/22 |
29 |
The Riemann Integral |
|
|
| 38 |
11/25 |
30 |
Properties of the Riemann Integral |
|
|
| 39 |
12/02 |
30 |
Properties of the Riemann Integral - con'd
|
|
|
| 40 |
12/04 |
31 |
The Fundamental Theorem of Calculus
|
|
Homework 10 |
| 41 |
12/06 |
|
Applications
|
|
|
| 42 |
12/09 |
|
Review
|
|
|