Exam syllabus/curriculum

This list grew into the exam syllabus, over the course of the semester. The date shows when the material was discussed.

Section 1: Fundamental Concepts (21/8)
Section 2: Functions (21/8)
Section 3: Relations (up to Order Relations) (25/9)
Section 5. Cartesian Products (25/8)
Section 6: Finite Sets (25/8)
Section 7: Countable and Uncountable Sets (23/10)
Section 12: Topological Spaces (25/8)
Section 13: Basis for a Topology (28/8)
Section 15: The Product Topology on X x Y (1/9)
Section 16: The Subspace Topology (4/9)
Section 17: Closed Sets and Limit Points (8/9)
Section 18: Continuous Functions (11/9)
Section 19: The Product Topology (18/9)
Section 20: The Metric Topology (22/9)
Section 21: The Metric Topology (continued) (25/9)
Section 22: The Quotient Topology (29/9)
Section 23: Connected Spaces (2/10)
Section 24: Connected Subspaces of the Real Line (6/10)
Section 25: Components and Local Connectedness (9/10)
Section 26: Compact Spaces (13/10)
Section 27: Compact Subspaces of the Real Line (16/10)
Section 28: Limit Point Compactness (20/10)
Section 29: Local Compactness (20/10)
Section 30: The Countability Axioms (23/10)
Section 31: The Separation Axioms (23/10)
Section 32: Normal Spaces (27/10)
Section 33: The Urysohn Lemma (27/10)
Section 34: The Urysohn Metrization Theorem (30/10)
Section 35: The Tietze Extension Theorem (without proof) (3/11)
Section 36: Embeddings of Manifolds (3/11)
Section 37: The Tychonoff Theorem (without proof) (6/11)
Section 43: Complete Metric