Syllabus
| Lectures |
Sections in Text |
Brief Description |
| 1/3 |
1.1 |
Introduction |
| 1/5 |
1.1 |
Axioms for the real numbers |
| 1/8 |
1.2 |
Absolute value, triangle inequality |
| 1/10 |
1.2 |
Inequalities, geometric sums |
| 1/12 |
No class |
BM in San Diego |
| 1/15 |
No class |
MLK Day |
| 1/16 |
1.3 |
Completeness axiom |
| 1/17 |
1.4 |
Countable and uncountable sets |
| 1/19 |
1.4 |
Countable and uncountable sets |
| 1/22 |
2.1 |
Convergent sequences |
| 1/24 |
2.1 |
Convergent sequences |
| 1/26 |
2.2 |
Monotone and Cauchy sequences |
| 1/29 |
6.1,6.2 |
Infinite series |
| 1/30 (x-hour) |
Review |
Quiz 1 |
| 1/31 |
6.2,6.3 |
Infinite series |
| 2/1 |
4:30 - 6:30 pm |
Midterm I |
| 2/2 |
6.2 |
Ratio and root test |
| 2/5 |
2.3 |
Subsequences |
| 2/7 |
Review |
Sequences and series |
| 2/9 |
3.1 |
Limit of a function |
| 2/12 |
3.2 |
Continuous functions |
| 2/14 |
3.3 |
Intermediate and extreme value theorem |
| 2/16 |
3.4 |
Uniform continuity |
| 2/19 |
4.1 |
Derivative of a function |
| 2/21 |
4.2 |
Properties of differentiable functions |
| 2/23 |
Review |
Continuous and differentiable functions |
| 2/26 |
5.1 (Lecture) |
Integration for step functions |
| 2/28 |
5.2 (Lecture) |
Darboux integral |
| 3/2 |
5.3 (Lecture) |
Fundamental theorem of calculus |
| 3/5 |
5.3 (Lecture) |
Integration rules |
Bjoern Muetzel
Last updated March 03, 2018