This is approximate. All references are to the course text by Walter Rudin. For the material to be covered, see the Syllabus above.
Date | Reading | Homework |
Jan.26, 28 | Chapter 1 of Rudin: The Real Number System |
Homework 1 |
Feb. 2, 4 | Chapter 1/2 of Rudin: The Real Number System, Point Set Topology | Homework 2 |
Feb. 9, 11 | Chapter 2 of Rudin: Basic Topology | Homework 3 |
Feb. 16, 18 | Chapter 2 of Rudin: Point set topology, compactness | Homework 4 |
Feb. 23, 25 | Chapter 3 of Rudin: Sequences | Midterm |
Mar. 1, 3 | Chapter 3 of Rudin: Sequences, Cauchy Sequences | Homework 5 |
Mar. 8, 10 | Chapter 3 of Rudin: Series, Convergence Tests | Homework 6 |
Mar. 22, 24 | Chapter 4 of Rudin: Continuity | Homework 7 |
Mar. 29, 31 | Chapter 4 of Rudin: Continuity | Homework 8 |
Apr. 2 | Midterm | Midterm 2 |
Apr. 9-14 | Chapter 5 of Rudin: Differentiation | Homework 9 |
Apr. 19, 21 | Chapter 6 of Rudin: Integration | Homework 10 |
Apr. 21, 23 | Chapter 6 of Rudin: Integration | Homework 11 |
April 28 | Chapter 6 of Rudin: Change of variables, and the fundamental theorem of calculus |