Dr. Mann's M367K, Spring 2009
Topology I
Unique # 57160

Final Exam:              Wednesday, May 13             9:00-12:00 noon             RLM 6.126
Homework 13 due Tuesday, May 5:
Section 6.3, pg 191 #32, 37
Section 7.3, pg 225 #22
Homework 12 due Tuesday, April 28:
Section 7.1, pg 212-213 #1, 2, 3, 5, 6
Section 7.2, pg #15, 16, 17
Problem from class Thursday, April 23
Homework 11 due Tuesday, April 21:
Section 6.2, pg 183-184 #23, 24, 26
Section 6.4, pg 196-197 #39, 41, 42, 45, 46, 49
Problems from class Thursday, April 16
Homework 10 due Tuesday, April 14:
Section 6.1, pg 176 #2, 3, 5, 7
Section 6.2, pg 183-184 #18, 20(not c), 27
In class Exam 2 Thursday, April 2:
Sections 3.1-3.4, 4.1-4.2, 5.1, 5.3-5.4
Subspace, Product & Quotient Topologies
Continuous Functions & Homeomorphisms
Metric Spaces
Homework 9 due Tuesday, March 31:
Section 5.3, pg 161-162 #23, 25, 26, 28, 30 and 2 problems from Lecture on March 24
Section 5.4, pg 166 #33, 35, 36, 38
Homework 8 due Tuesday, March 24:
Section 4.2, pg 133-135 #23, 25, 26, 29, 32, 33
Section 5.1, pg 149 #1, 2, 4, 5, 10
Homework 7 due Tuesday, March 10:
Section 3.4, pg 104 #35, 36, 37, Read and think about #38 & 39
Section 14.1, pg 435 #1
Section 4.1, pgs 119-120 #2, 4, 6a, 7, 8, 14 and 2 problems from Lecture on March 5
Homework 6 due Tuesday, March 3:
Section 3.2, pg 87 #12, 16, 17, 18, 19, 21
Section 3.3, pgs 95-97 #23, 25, 28, 30, 33
Homework 5 due Tuesday, February 24:
Section 2.3, pgs 67-68 #24, 26, 28 (No proof is necessary on #24, 26)
Section 3.1, pg 81 #2, 4, 5, 6, 7, 8, 10 (No proof is necessary on #2, 4, 5, 6)
Homework 4 due Tuesday, February 17:
Section 2.2, pgs 63-64 #13, 15, 16, 19, 20, 23
Homework 3 due Tuesday, February 10:
Section 1.3, pg 42-43 #25, 27, 28, 33, 36
Section 2.1, pg 59-60 # 1, 2, 6, 10, 11, 12
Homework 2 due Tuesday, February 3:
One problem given in lecture notes
Section 1.1, pg 28 #1.1, 1.2 (n=3), 1.6
Section 1.2, pg 36 #1.10, 1.13, 1.16
Homework 1 due Tuesday, January 27:
Problems given in class

Class Meetings     TTh 2:00 - 3:30 pm in RLM 7.124

Lecturer                  Jennifer K. Mann, Ph.D.
Office: RLM 10.128
Office Hours: M 11-12, TTh 1-2, or by appointment
Email: jmann@math.utexas.edu (preferred method of contact)
Phone: 512-471-1140
Website: http://www.ma.utexas.edu/users/jmann/

Text               Introduction to Topology: Pure and Applied by Colin Adams and Robert Franzosa
                        Text Website

Honor Code          The core values of the University of Texas at Austin are learning, discovery, freedom, leadership, individual opportunity, and responsibility. Each member of the University is expected to uphold these values through integrity, honesty, trust, fairness, and respect toward peers and community.

Exam Dates                  February 12, April 2

Final Exam Date              Wednesday, May 13             9:00-12:00 noon            
There will be two in-class exams during the semester and a cumulative in-class final exam.

Homework
Homework will be posted on the course website and announced in class. Homework assignments will be collected weekly. Students are encouraged to discuss all aspects of the course with each other. However, each student should write their own solutions to homework problems. Copying another student's solution or that from another text is a violation of the honor code and fails to contribute to your personal mathematical development.
 
Class Participation
This course will be taught with the modified Moore method. Students will have opportunities to present their solutions to homework problems during class meetings. The other classmates are required to ask questions and make certain they understand what has been presented. The presenter has the first opportunity to address any questions or comments, and then other classmates are encouraged to contribute. Class attendance is mandatory.

Grading      
20% Homework
10% Class Participation
20% Exam 1
20% Exam 2
30% Final Exam
There will be no makeup exams. A single missed exam grade will be replaced by the final exam grade. No semester assignments will be accepted after the last day of classes Friday, May 8, 2009. Your final exam grade is final. Thus, any discussions of your course grade must occur prior to the final exam administration on Wednesday, May 13, 2009.
 
Syllabus        http://www.ma.utexas.edu/dev/math/Courses/Syllabi/M367K.html

Prerequisite        Mathematics 361K or 365C or consent of instructor

Course Website        http://www.ma.utexas.edu/users/jmann/M367K.html
 
Advice for Success
Actively participate in the course by attending lectures, participating in class discussions, presenting problems to the class, asking and/or answering questions in class, working the assigned homework problems, and utilizing the office hours of Dr. Mann.
 
Services available to students
The University of Texas at Austin provides upon request appropriate academic accommodations for qualified students with disabilities. For more information, contact the Office of the Dean of Students at 471-6259, 471-6441 TTY. At the beginning of the semester, please notify the instructor of your specific needs.

AMS Resource for Undergraduate Mathematics Majors        http://www.ams.org/employment/undergrad.html

Jennifer K. Mann's Home Page