Math 6310: Topology
Spring
2022
SCI
3.240 / TTh 2:30 - 3:45pm
Instructor: |
Baris
Coskunuzer / FA 2.410 / coskunuz@utdallas.edu |
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Office Hours: |
Tu
1-2pm & Th 11am-12pm & by appointment. |
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Textbooks: |
Algebraic Topology
by Allen Hatcher |
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Prerequisites: |
Math
5301 or consent of the instructor. |
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Content |
Elements
of Algebraic Topology, Fundamental Group, Homology. |
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Homework: |
HWs
are assigned weekly and due Thursday class. HW with the lowest score will be
dropped. |
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Exams: |
There
will be 2 in-class exams on March 10 and April 28. Final Exam TBA. |
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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 |
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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 |
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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 |
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Mar
21 |
Ch 2
Homology Intro |
HW6: A8 – 3,
4, 5, 11, 12, 13. |
Mar 31 |
Mar
28 |
Ch 2.1
Simplicial Homology |
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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 |
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May
2 |
Applications
& Review |
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UT
Dallas Syllabus Policies and Procedures |
The
information contained in the following link constitutes the University’s policies
and procedures segment of the course syllabus. Please go to http://go.utdallas.edu/syllabus-policies for these
policies. |