Ma 109a:  Introduction to Geometry and Topology

ANNOUNCEMENTS


COURSE DESCRIPTION

Math 109a is the first course in the Ma 109 sequence, Introduction to Geometry and Topology.  In the first part of the course, we will introduce notions of general point-set topology, basic examples and constructions.  Topics will include the notions of compactness, metrizability, separation properties, and completeness. The second part of the course will be an introduction to algebraic topology, including the fundamental group and homology theory.


PREREQUISITES

TBA


SCHEDULE

MWF, 10:00 - 10:55 AM, 153 Sloan.


INSTRUCTORS

Faramarz Vafaee
HARRY BATEMAN INSTRUCTOR IN MATHEMATICS
272 Sloan
626-395-4336


TA's

Caili Shen
353 Sloan


OFFICE HOURS

Professor's : Monday and Wednesday, 1:00-2:00 PM, 272 Sloan

TA's : Thursday, 3:00 - 4:00 PM, 353 Sloan


POLICIES

There will be weekly homework assignments due every Friday in class. Grade policies are as follows: 40% homework, 30% midterm and 30% final exam.


TOPICS COVERED

TBA


TEXTBOOKS

Munkres, James, Topology, Pearson, 2001.  ISBN:  0131816292.

Hatcher, Allen, Algebraic Topology, Cambridge University Press, 2001.  ISBN:  0521795400.


LECTURE NOTES

Date Description
   
   
   

HOMEWORK

Due Date Homework Solutions
 October 16  p.83: 5, 6 p.92: 4, 7, 9 p.100, 101: 6, 13, p.111, 112: 8, p.118: 7, p.144: 2, p.158: 10  
 October 23  p.112: 13, p.145: 5, p.146: 5, 6, p.171: 8, p.172: 13  
 October 30  p.171: 10, p.177: 2, p.181: 4, 6, p.199: 6  
 November 3 (by 2:00 pm)   Midterm Exam  
 November 13  Munkres p.280, 281: 2, 7, Hatcher Chapter 0: 5, 9, 12, 14  
 November 20  Hatcher Section 1.1: 6, 7, 13, 16, 18  
 December 4  Hatcher Section 1.2: 4, 7, 16, Section 1.3: 4, 9, 12, 14  
 December 11 (by 2:00 pm)  Final Exam  

EXAMS

 


READING