Welcome to Real Analysis (MA338)!


Week 0/1: Sections 1.1, 1.2, 1.3, and 1.4 of Abbott and Chapter 1 of Rudin.
Week 2: Sections 3.1, 3.2, and 3.3 of Abbott and Chapter 2 (through the end of the section on perfect sets) in Rudin.
Week 3: Sections 3.4, 3.5, and 3.6 of Abbott and remaining portion of Chapter 2 in Rudin.
Week 4: Sections 2.1-2.6 of Abbott and Pages 47-62 of Rudin.
Week 5: Remaining portion of Chapter 2 in Abbott and Pages 59-79 in Rudin.
Week 6/7: Read Chapter 4 in Abbott and Chapter 4 in Rudin.
Week 8: Read Chapter 5 in Abbott and Chapter 5 and Pages 205-220 in Rudin.
Week 10ish: Read Pages 1-20 in the supplementary course notes.

Supplementary Course Notes
Supplementary Course Notes
An Older Version for HW9

Homework 1
Homework 2
Homework 3
Homework 4
Homework 5
Homework 6
Homework 7
Homework 8
Homework 9
Homework 10

Exam Preparation
List of Topics for Midterm 1
List of Topics for Midterm 2
List of Topics for the Final

Supplementary Reading

For those of you curious about the construction of real numbers, the following provides an alternative construction to cuts; I personally think it's more intuitive.
Cauchy's Construction of the real numbers (by T. Kemp).
For those of you curious about the history of compactness, take a look at this article:
Understanding Compactness Through Primary Sources: Early Work Uniform Continuity to the Heine-Borel Theorem (by N. Somasunderam).