Instructor. Mitchell Faulk (mitchellmfaulk at gmail.com OR [last name] at math.columbia.edu)
Time and place. We meet MTWR in Math 520 from 10:45am-12:20pm
Office hours. TR at 1:00pm-2:00pm in Math 610
Teaching assistant. Nguyen Dung (UNI: ncd2118)
Help room hours. Help room schedule
Lecture notes (.tex)
Review sheet
Written Assignments
Warm-up problems
A hard copy of the syllabus is available here. Below is the tentative schedule.
| Date | Material | Textbook | Announcements |
|---|---|---|---|
| 05/27 | HOLIDAY | HOLIDAY | HOLIDAY |
| 05/28 | Ordered sets | ||
| 05/29 | Ordered sets | ||
| 05/30 | Topology | ||
| 05/31 | Topology | HW1 due | |
| 06/03 | Topology | ||
| 06/04 | Sequences | ||
| 06/05 | Sequences | HW2 due | |
| 06/06 | Series | ||
| 06/10 | Series | ||
| 06/11 | Continuity | ||
| 06/12 | Continuity | HW3 due | |
| 06/13 | Midterm exam | ||
| 06/17 | Differentiation | ||
| 06/18 | Differentiation | ||
| 06/19 | Integration | HW4 due | |
| 06/20 | Integration | ||
| 06/24 | Integration | ||
| 06/25 | Sequences of functions | ||
| 06/26 | Sequences of functions | HW5 due | |
| 06/27 | Series of functions | ||
| 07/01 | Stone-Weierstrass | ||
| 07/02 | Review | HW6 due | |
| 07/03 | Final exam | ||
| 07/04 | HOLIDAY | HOLIDAY | HOLIDAY |