Math 6310: Topology
Spring 2024
SCI 3.240 / TTh 2:30 - 3:45pm
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Instructor: |
Baris Coskunuzer / coskunuz@utdallas.edu |
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Office
Hours: |
BC: Tu 1-2:15pm at FA
2.410. AT: Wed 3-5pm at FO 1.210. |
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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 7 and Apr 18. Final Exam TBA. |
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Grading: |
HW 25% + Midterm Exams 20% each +
Final Exam 35% |
Weekly Schedule and HW Assignments:
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Week
of |
Topics |
HW
Problems |
HW
due |
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Jan 15* |
Ch
0. Intro + Basics of Topology |
No HW due to cancelled class. |
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Jan 22 |
Ch
0. Homotopy &
Cell Complexes |
HW1:
Ch-0. 1, 2, 3, 4, 9, 10, 12* (PC only). |
Feb 1 |
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Jan 29 |
Ch
1.1 Fundamental Group |
HW2: Ch-0. 14,
16, 19, 20, 23. |
Feb 8 |
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Feb 5 |
Ch
1.2 Van Kampen’s Thm |
HW3:
Ch-1.1 1, 2, 5, 8, 16a, 16d, 16f. |
Feb 15 |
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Feb 12 |
Ch
1.3 Covering Spaces |
HW4: Ch-1.2 3, 4, 7, 8, 10. |
Feb 22 |
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Feb 19 |
Ch
1.3 Covering Spaces |
HW5:
Ch-1.3 1, 4, 5, 8, 10. |
Feb 29 |
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Feb 26 |
Ch
2 Homology Intro |
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Mar 4 |
Review + Midterm 1 |
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Mar 18 |
Ch
2.1 Simplicial Homology |
HW6: posted in Elearning |
Mar 28 |
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Mar 25 |
Ch
2.2 Singular Homology |
HW7: posted in Elearning |
Apr 4 |
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Apr 1 |
Ch
2.2 Cellular Homology |
HW8: posted in Elearning |
Apr 11 |
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Apr 8 |
Ch
2.3 Homology Theory |
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Apr 18 |
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Apr 15 |
Review + Midterm 2 |
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Apr 22 |
Ch.3
Cohomology Overview |
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May 1 |
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Apr 29 |
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. |