| Wk | Date | Topics | Assignments |
| 1 | 8/30 | Introduction, intuitive notions | |
| 2 | 9/04 | Labor Day - No class | |
| 9/06 | Review of basic set theory | Homework 1 and a solution |
| 3 | 9/11 | Distances, open sets in metric spaces | |
| 9/13 | Continuity in metric spaces, topological spaces | Homework 2 and a solution |
| 4 | 9/18 | Basis of a topology | |
| 9/20 | Comparisons, order topologies | Homework 3 and a solution |
| 5 | 9/25 | Product topologies | |
| 9/27 | Subspace topologies | |
| 6 | 10/02 | Closed sets, neighborhoods | Homework 4, and a solution |
| 10/04 | Accumulation points, Hausdorff spaces, separation properties | |
| 7 | 10/09 | Continuous functions, homeomorphisms | Homework 5 and a solution |
| 10/11 | Topologies on general products | |
| 8 | 10/16 | The box and product topologies | |
| 10/18 | Midterm examination | A solution |
| 9 | 10/23 | Metric topologies revisited | |
| 10/25 | The uniform topology | Homework 6 and a solution |
| 10 | 10/30 | Sequential characterizations and uniform convergence | |
| 11/01 | Connectedness | |
| 11 | 11/06 | Path connectedness | Homework 7 and a solution |
| 11/08 | Compactness | |
| 12 | 11/13 | Compactness | |
| 11/15 | Compactness in metric spaces | Homework 8 and a solution |
| | Thanksgiving Break | |
| 13 | 11/27 | More on Lebesgue's covering number and local compactness | |
| 11/29 | Compactifications | |
| 14 | 12/04 | Introduction to algebraic topology, I | |
| 12/06 | Introdution to algebraic topology, II | |
| 🎓 | Dec. 13 | Final examination | |