MATH 351
Point Set Topology
MATHEMATICS
AT BARD COLLEGE
Coordinates Albee 106, Tu Th 10:30-11:50 AM, CRN 18150
Professor Greg Landweber
Office Hours Albee 304, Tu Th 1:00-2:20 PM or by appointment
No Class There will be no class on Tuesday, May 13 (registration day) and Tuesday, May 20 (the last day of classes).
Content An introduction to point set topology. Topics include metric spaces, compactness, connectedness, continuity, homeomorphisms, separation criteria, and possibly the fundamental group.
Prerequisite Mathematics 261 or permission of the instructor.
Textbook
   Topology (2nd Edition)
by James Munkres
Homework Homework assignments will be due at the start of class every second Thursday. You are encouraged to work together on the homework assignments, but you must write up your homework yourself in your own words. The final homework assignment must be completed entirely on your own, using only the textbook, your course notes, and your homeworks as references. Extensions may be granted only in extraordinary circumstances at the discretion of the professor and must be negotiated before the assignments are due.
Projects Every student will do an independent project, either individually, or in groups of two or three. The project consists of working through a section or sections of the textbook not covered in class, giving a 20 minute (per student) presentation, and turning in solutions (as a group) to all of the problems in the section or sections. You may also work on a project of your own design, not based on the textbook, in consultation with the professor. You must choose your project topic and confirm it with the professor before leaving for spring break. Sections 44, 49, 55, and 56, 57 of the textbook would make good projects. The material from Chapter 12 would make a good group project, and Chapter 14 is suitable for students with a background in algebra, as are the Supplementary Exercies on Topological Groups at the end of Chapter 2.
Grading 60% Homework
20% Final
20% Project
Schedule
Dates Reading Homework Due
January 29, 31Sections 12, 13
February 5, 7Sections 14, 15, 16 Section 13: 1, 2, 3, 4, 5, 8 2/7
February 12, 14Sections 17, 18
February 19, 21Sections 19, 20 Section 16: 4, 7, 8, 9
Section 17: 5, 13, 15, 19
Section 18: 3, 6, 7, 13 		2/21
February 26, 28Sections 21, 22, 23
March 4, 6Sections 24, 25, 26 Section 19: 6, 7
Section 20: 5, 8, 10
Section 21: 4
Section 22: 2, 4
Section 23: 5, 7 		3/6
March 11, 13Sections 27, 28, 29
March 18, 20Sections 39, 41 Section 24: 2, 3
Section 25: 2, 4
Section 26: 3, 5, 8
Section 27: 1 		3/20
March 25, 27Sections 30, 31
April 8, 10Sections 32, 33 Section 29: 1, 6, 8, 10
Section 30: 3, 10
Section 31: 3, 5 		4/10
April 15, 17Sections 35, 36
April 22, 24Sections 51, 52 Section 51: 1, 2, 3
Section 52: 1, 3, 4 		4/24
April 29, May 1Sections 53, 54
May 6, 8Projects
May 15Projects Final Homework 5/15
May 20No class