Spring 2019

This schedule is subject to change.

Date Topic
Wed 1/9 1.1, 1.2 Introduction (read 1.3, 1.4, 1.5)
Fri 1/11 1.6 Functions, 1.7 Equivalence relations
Mon 1/14 2.1 Bounds, 2.2 Finite and infinite sets
Wed 1/16 Seminar day
Fri 1/18 No class meeting - Read 2.3 Topology of the real line
Mon 1/21 MLK Day
Wed 1/23
2.3 Topology of the real line
Fri 1/25
2.4 Nested intervals
Mon 1/28
2.5 Topology of the plane
Wed 1/30
Seminar day
Fri 2/1
3.1 Metric spaces
Mon 2/4
More 3.1, 3.2 Topology of metric spaces
Wed 2/6
More 3.2
Fri 2/8
3.3 Interiors, closures, boundaries
Mon 2/11
Seminar day
Wed 2/13
3.4 Continuity
Fri 2/15
3.5 Equivalence of metric spaces
Mon 2/18
3.6 Subspaces and product spaces
Wed 2/20
Catch up, review
Fri 2/22
Exam #1 (take-home; no class meeting)
Mon 2/25
4.1 Topological spaces
Wed 2/27
More 4.1, 4.2 Interiors, closures, boundaries
Fri 3/1
More 4.2
3/4-3/15
Spring break/Journeys/Peak week
Mon 3/18
4.3 Bases
Wed 3/20
Seminar day
Fri 3/22
4.4 Continuity and equivalence
Mon 3/25
More 4.4, 4.5 Subspaces
Wed 3/27
5.1, 5.2 Connectedness
Fri 3/29
More 5.2, 5.3 Connectedness on the real line
Mon 4/1
Seminar day
Wed 4/3
5.4 Applications, 5.5 Path connectedness
Fri 4/5
More 5.5, 5.6 Local connectedness
Mon 4/8
Catch up, review
Wed 4/10
Exam #2 (take-home; no class meeting)
Fri 4/12 6.1 Compactness
Mon 4/15
More 6.1
Wed 4/17
6.2 Continuity
Fri 4/19
Easter
Mon 4/22
6.3 Related properties
Wed 4/24
Seminar day
Fri 4/26
6.4 One-point compactification, 6.5 Cantor set
Mon 4/29
More 6.5
Wed 5/1
Review, summary