# Introductory Topology Mathematics 441 — Fall 2019

### Prof. Weibel (640:441)

• Lectures: MTh6 (5:00-6:20PM) in ARC 106
• Text: James Munkres; Topology (second edition); Prentice-Hall, 2000 (537pp.); (ISBN: 0-13-181629-2)

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.

• Weibel's Office hours
• Homework: Homework problems are listed in the schedule of lectures below, and are due the following Wednesday. I will be happy to answer homework-related questions anytime.

#### Tentative Course Syllabus

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
29/9,11 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
1512/9-11Review for Final Cumulative (Chapters 2, 3, 4)
16 December 17
(Tuesday)
12-3 PM Final Exam (cumulative)

Charles Weibel / weibel@math.rutgers.edu / Fall 2019