Math 6310: Topology

 

Spring 2022

 

SCI 3.240 / TTh 2:30 - 3:45pm

 

Instructor:

Baris Coskunuzer / FA 2.410 / coskunuz@utdallas.edu

 

 

Office Hours:

Tu 1-2pm & Th 11am-12pm & by appointment.

 

 

Textbooks:

Algebraic Topology by Allen Hatcher

 

 

Prerequisites:

Math 5301 or consent of the instructor.

 

 

Content

Elements of Algebraic Topology, Fundamental Group, Homology.

 

 

Homework:

HWs are assigned weekly and due Thursday class. HW with the lowest score will be dropped.

 

 

Exams:

There will be 2 in-class exams on March 10 and April 28. Final Exam TBA.

 

 

Grading:

HW 25% + Midterm Exams 20% each + Final Exam 35%

 

Weekly Schedule and HW Assignments:

 

Week of

Topics

HW Problems

HW due

Jan 17

Ch 0. Intro + Homotopy

HW1: Ch-0. 1, 2, 3, 4, 9, 10.

Jan 27

Jan 24

Ch 0. Cell Complexes

HW2: Ch-0. 12, 14, 16, 19, 20, 23.

Feb 8

Jan 31*

Ch 1.1 Fundamental Group

Feb 7

Ch 1.1 Fundamental Group

HW3: Ch-1.1  1, 2, 5, 8, 16 (any 4/6), 17.

Feb 17

Feb 14

Ch 1.2 Van Kampen’s Thm

HW4: Ch-1.2  3, 4, 7, 8, 10

Feb 28

Feb 21*

Ch 1.3 Covering Spaces

 

 

Feb 28

Ch 1.3 Covering Spaces

HW5: Ch-1.3 1, 4, 5, 8, 10.

Mar 8

Mar 7

Ch 0-1 Review + Midterm 1

 

 

Mar 21

Ch 2 Homology Intro

HW6: A8 – 3, 4, 5, 11, 12, 13.

Mar 31

Mar 28

Ch 2.1 Simplicial Homology

 

 

Apr 4

Ch 2.2 Cellular Homology

HW:7 posted at Elearning

Apr 12

Apr 11

Ch 2.2 Computations

HW:8 posted at Elearning

Apr 19

Apr 18

Ch 2.3 Homology Theory

HW:9 posted at Elearning

Apr 26

Apr 25

Ch 2 Review + Midterm 2

 

 

May 2

Applications & Review

 

 

 

UT Dallas Syllabus Policies and Procedures

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