The following is a tentative syllabus for the course and will be updated as necessary. All associated assignments may be found on the homework page.
Week  Lectures  Sections in Text  Brief Description 

1  6/24  §1, 5  Course introduction, set theory 
6/25 (Sa)  §2, 6, 7  Special Class (10:4011:45am) Functions, cardinality of sets, and LaTeX 

2  6/27  §12  Topological spaces 
6/28 (x)  §13  Bases  
6/29  §3, 14  Orders and the order topology  
7/1  §15, 16  The product and subspace topologies  
3  7/4  Independence Day (no class)  
7/5 (x)  §16, 17  Subspace topology (ctd.), position of a point in a set, closed sets 

7/6  §17  Closure, limit points  
7/8  §17  Limit points and Hausdorff spaces  
4  7/11  §18  Continuous functions 
7/12 (x)  §18  Homeomorphisms and topological properties  
7/13  Midterm Exam  Material through §17  
7/15  DF Away (no class)  
5  7/1822  DF Away (no class)  
6  7/25  §20  Metric spaces 
7/26 (x)  §21  Properties of metric spaces  
7/27  §19  The infinite product topology  
7/29  §23  Connected sets  
7  8/1  §23, 24  Products of connected sets, IVT, path connected sets 
8/2 (x)  §3, 25  Equivalence relations, connected components, local connectedness 

8/3  §26  Compact spaces  
8/5  §26, 27  More on compactness  
8  8/8  §27, 3135  HeineBorel Theorem, separation axioms, Urysohn's Lemma 
8/10  §30, NIB  Manifolds  
8/12  §22  Quotient topology  
9  8/15  Classification of manifolds  
8/17  Classification of manifolds (cont.)  
8/19  §51  Homotopies and path homotopies  
10  8/22  §52  Fundamental group 
8/24  Results in algebraic topology  
8/27  Final Exam  36pm, Kemeny 105 