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. 29 | Chapter 1 of Rudin: The Real Number System |
Homework 1 Solutions |
Feb. 3, 5 | Chapter 1/2 of Rudin: The Real Number System, Point Set Topology | Homework 2 Solutions |
Feb. 12 | Chapter 2 of Rudin: Basic Topology | Homework 3 |
Feb. 17, 19 | Chapter 2 of Rudin: Point set topology, compactness | Homework 4 |
Feb. 24, 26 | Chapter 2 of Rudin: Compactness | Midterm |
Mar. 3, 5 | Chapter 2/3 of Rudin: Connected sets, Sequences, Cauchy Sequences | Homework 5 Solutions |
Mar. 10, 12 | Chapter 3 of Rudin: Completeness, Sequences, and Series | Homework 6 |
Mar. 24, 26 | Chapter 3/4 of Rudin: Series, Tests for convergence, Continuity | Homework 7 |
Mar. 31, Apr. 2 | Chapter 4 of Rudin: Continuity | Homework 8 |
Apr. 7 | Midterm | Midterm 2 |
Apr. 9 | Chapter 5 of Rudin: Differentiation | Homework 9 |
Apr. 14, 16 | Chapter 5 of Rudin: Differentiation | 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 |