Month |
Date |
Topic |
Notes |
Book |
|
|
Real Numbers |
|
|
August |
29 |
Real Number System |
1.1-1.3 |
A.1 |
|
31 |
Real Number System |
1.4-1.5 |
A.2, 1.1-1.3 |
September |
5 |
Sequences of Real Numbers |
1.6, 2.1-2.3 |
2.1-2.2 |
|
7 |
Sequences of Real Numbers |
2.4-2.7 |
2.3-2.4 |
|
12 |
Series of Real Numbers |
2.8, 3.1-3.2 |
9.1 |
|
14 |
Series of Real Numbers |
3.3-3.6 |
|
|
19 |
Series of Real Numbers |
3.7-3.8, 3.10 |
|
|
21 |
Sets of Real Numbers |
3.10, 4.1-4.2.2 |
2.5 |
|
26 |
Sets of Real Numbers |
4.2.3-4.4 |
|
|
28 |
In-Class Exam |
|
|
|
|
Functions and Regularity |
|
|
October |
3 |
Functions, Continuity, and Limits |
5.1-5.3 |
3.1-3.3, 3.5 |
|
5 |
Functions, Continuity, and Limits |
5.4-5.6 |
3.6, 3.7 |
|
10 |
Differentiability and Derivatives |
6.1-6.3 |
4.1-4.2, 4.5 |
|
12 |
Differentiability and Derivatives |
6.4-6.6 |
|
|
17 |
Mean-Value Theorems and Their Applications |
6.6, 7.1-7.4 |
4.3 |
|
19 |
Mean-Value Theorems and Their Applications |
7.5-7.7 |
8.1-8.3 |
|
24 |
Mean-Value Theorems and Their Applications |
7.7-7.9 |
4.4 |
|
26 |
Cauchy Continuity and Uniform Continuity |
8.1-8.3 |
3.4 |
|
31 |
Cauchy Continuity and Uniform Continuity |
8.3-8.6 |
|
November |
2 |
In-Class Exam |
|
|
|
|
Riemann Integrals and Integrability |
|
|
|
7 |
Riemann Integrals |
9.1-9.4 |
6.1-6.2 |
|
9 |
Riemann Integrals |
9.4-9.7 |
7.3, 6.3 |
|
14 |
Riemann Integrable Functions |
10.1-10.4 |
6.3-6.4 |
|
16 |
Riemann Integrable Functions |
10.5-10.7 |
|
|
21 |
Relating Integration with Differentiation |
11.1-11.2 |
6.5-6.6 |
|
28 |
Relating Integration with Differentiation |
11.3-11.6 |
7.1-7.2 |
|
|
Sequences and Series of Functions |
|
|
|
30 |
Sequences of Functions |
12.1-12.2 |
9.2-9.4 |
December |
5 |
Series of Functions |
12.3-12.4, 13.1 |
9.5 |
|
7 |
Continuous Nowehere Differentiable Functions |
13.2, 14.1-14.2 |
9.6 |
|
14 |
Final Exam, 8:00am - 10:00pm in MTH 0101 |
|
|