| 1 |
Where Do We Start? |
| 2 |
The Real Numbers |
| 3 |
Countability |
| 4 |
Metric Spaces, Open Sets |
| 5 |
Closed Sets |
| 6 |
Compact Sets |
| 7 |
Compact Subsets of Euclidean Space |
| 8 |
Completeness |
| 9 |
Sequences and Series |
| 10 |
Continuity |
| 11 |
Continuity and Sets |
| 12 |
Continuity and Compactness |
| 13 |
First In-Class Test |
| 14 |
Differentiability |
| 15 |
Mean Value Theorem |
| 16 |
Riemann-Stieltjes Integral Defined |
| 17 |
Integrability of a Continuous Function |
| 18 |
Riemann-Stieltjes Integral |
| 19 |
Fundamental Theorem of Calculus |
| 20 |
Sequences of Functions |
| 21 |
Second In-Class Test |
| 22 |
Uniform Convergence |
| 23 |
Equicontinuity |
| 24 |
Power Series |
| 25 |
Fundamental Theorem of Algebra |
| 26 |
Final Review |
| 27 |
Final Exam |