Analysis 2021

Instructor:  Ben Brown
Time:           10 AM – 12 PM ET
Place:           Online via Zoom
Dates:          Weekdays 8/2 – 8/13 (except 8/12)

Tutorial Session:
Tutor: Pavlos
Time:   9 AM – 10 AM ET
Place:  Online via Zoom
Dates: Weekdays 8/2 – 8/13 (except 8/12)

 

Lecture notes, assignments, solutions, and general announcements will be done using the Sakai page.

 

(NEW) List of Topics: work in progress!

(OLD) List of Topics:

  1. Metric Spaces
  2. Sequences
  3. Basic Topology
  4. Continuous Functions
  5. Compactness
  6. Sequences and Series of Functions
  7. Introduction to Measure Theory

There will be no textbook for this course, please refer to the course notes.

Tentative Schedule:

  • Day 1: Section 1.1, 1.2, 1.3 (pre-recorded)
  • Day 2: Section 1.4 and 1.5
  • Day 3: Section 2.1

Schedule will be updated everyday after class.

Homework: 

To be assigned. One set of problems will be assigned each day.