Catalogue listing Introduction to topology with emphasis on the foundations of analysis; Euclidean spaces, metric spaces, topological spaces, and their properties; applications to analysis.
Prerequisites: CALC4 and either 01:640:300 or permission of department.
| Week | Lecture dates | Sections | HW assignment given | |
|---|---|---|---|---|
| 1 | 9/4 (Wed) | Chapter 1 | 1.1 #8,10; 1.2 #1, 5abc; 1.3 #3,4 | |
| 2 | 9/9,11 | Chapter 2 (12,13,16) | 2.13 #1,5,8a; 2.16 #1,6,9 | |
| 3 | 9/16, 18 | Chapter 2 (15,17,18) | 2.17 #3,6,7,11,13; 2.18 #1,2 | |
| 4 | 9/23, 25 | Chapter 2 (18,19,20) | 2.18 #4,12,13; 2.19 #1,6; 2.20 #10 | |
| 5 | 9/30,10/2 | Chapter 3 (22,23,24) | 2.22 #2,5; 2.23 #2,12; 2.24 #1,2,8(a,b) | |
| 6 | 10/7, 10/9 | Chapter 3 (24 & 30,31) | ||
| 7 | 10/14, 10/16 | Review/Midterm | cumulative up to section 24 | |
| 8 | 10/21 (not 10/23) | Chapter 3 (26,27) | 3.26 #3,5,7,9,12; 3.27 #2 | |
| 9 | 10/28, 10/30 | Chapters 3-4 (29,32) | 3.29 #1,2a,5; 4.32 #1,3,6 | |
| 10 | 11/4, 11/6 | Chapter 4 (33,34,35) | 4.33 #1,3,7; 4.34 #3; 4.35 #1,4 | |
| 11 | 11/11, 11/13 | Sections 36, 37 | 3.26 #6; 27 #4; 29 #5; 4.32 #7(a,b); 33 #4; 34 #4 | |
| 12 | 11/18, 11/20 | Review | Sections 26 to 37 | |
| 13 | 11/25 | Midterm/Thanksgiving break | ||
| 14 | 12/2, 12/4 | Chapter 9 (51,52,53) | Covering spaces and surfaces | |
| 15 | 12/9-11 | Review for Final | Cumulative (Chapters 2, 3, 4) | |
| 16 | December 17 (Tuesday) | 12-3 PM | Final Exam (cumulative) | |