This calendar is extremely tentative, but should give a general idea of what topics we will cover.
Course Textbooks:
| Date | Tentative class plan: |
| Mon, Jan 27 | Welcome! Begin Munkres Chapter 1: Set Theory and Logic Munkres §3: Relations Munkres §7: Countable and Uncountable Sets Munkres §8: The Principle of Recursive Definition |
| Wed, Jan 29 | No classes scheduled (No office hours) |
| Mon, Feb 3 | Finish Munkres §7: Countable and Uncountable Sets Begin Munkres Chapter 2: Topological Spaces and Continuous Functions Munkres §12: Topological Spaces Munkres §13: Basis for a Topology |
| Wed, Feb 5 | Finish Munkres §13: Basis for a Topology Munkres §14: The Order Topology Munkres §16: The Subspace Topology |
| Mon, Feb 10 | Munkres §15: The Product Topology on X x Y Munkres §17: Closed Sets and Limit Points |
| Wed, Feb 12 | College Closed (No office hours) |
| Mon, Feb 17 | College Closed |
| Tue, Feb 18 | Classes follow a Monday schedule. Munkres §18: Continuous Functions Munkres §19: The Product Topology |
| Wed, Feb 19 | Munkres §19: The Product Topology Munkres §20: The Metric Topology |
| Mon, Feb 24 | Munkres §20: The Metric Topology |
| Wed, Feb 26 | Munkres §21: The Metric Topology (continued) |
| Mon, Mar 3 | Possible lecture/review. |
| Wed, Mar 5 | Midterm 1. |
| Thu, Mar 6 | Classes follow a Wednesday schedule. Munkres §9: Infinite Sets and the Axiom of Choice Munkres §10: Well-Ordered Sets |
| Mon, Mar 10 | Begin Munkres §22: The Quotient Topology |
| Wed, Mar 12 | Finish Munkres §22: The Quotient Topology |
| Mon, Mar 17 | Begin Munkres Chapter 3: Connectedness and Compactness Munkres §23: Connected Spaces Munkres §24: Connected Subspaces of the Real Line |
| Wed, Mar 19 | Munkres §26: Compact Spaces Munkres §27: Compact Subspaces of the Real Line |
| Mon, Mar 24 | Munkres §28: Limit Point Compactness Munkres §29: Local Compactness |
| Wed, Mar 26 | Begin Munkres Chapter 4: Countability and Separation Axioms Munkres §30: The Countability Axioms |
| Mon, Mar 31 | No classes scheduled |
| Wed, Apr 2 | Munkres §31: The Separation Axioms |
| Mon, Apr 7 | Possible lecture/review. |
| Wed, Apr 9 | Midterm 2. |
| Mon, Apr 14 | Spring Break |
| Wed, Apr 16 | Spring Break |
| Mon, Apr 21 | Munkres §32: Normal Spaces Munkres §33: The Urysohn Lemma |
| Wed, Apr 23 | Munkres §34: The Urysohn Metrization Theorem |
| Mon, Apr 28 | Begin Munkres Chapter 9: The Fundamental Group Munkres §51: Homotopy of Paths |
| Wed, Apr 30 | Munkres §52: The Fundamental Group |
| Mon, May 5 | Munkres §53: Covering Spaces |
| Wed, May 7 | Munkres §54: The Fundamental Group of the Circle |
| Mon, May 12 | Munkres §55: Retractions and Fixed Points |
| Wed, May 14 | Munkres §58: Deformation Retracts and Homotopy Type |
The Final Exam will be held when the final exam is scheduled by the college: Monday, May 19th from 6:00pm to 8:15pm.