Math 4341: Topology
Fall 2024
SLC 2.302 /
TTh 10:00 – 11:15am
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Instructor: |
Baris Coskunuzer / FA 2.410 / coskunuz@utdallas.edu |
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Office
Hours: |
Tu 11:30-1pm & by appointment. |
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TA
& Office Hours: |
Astrit Tola & Wed 4-5pm at
FO 1.210 |
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Textbooks: |
Basic
Topology by M.A. Armstrong Point
Set Topology by A. Hatcher |
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Prerequisites: |
Math 2451 & Math 3310 or
instructor’s permission. |
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Content |
Elements of Topology,
Topological Spaces, Fundamental Group and Classification of Surfaces |
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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 two in-class
exams on Sep 26 and Oct 31. Final Exam TBA. |
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Grading: |
HW 25% + Midterm Exams 20% each +
Final Exam 35% + (Bonus) Participation 5% |
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Extra
Material: |
Weekly Schedule and HW Assignments:
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Week of |
Topics |
HW Problems |
Due |
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Aug
19 |
Ch.
1: Introduction |
HW1: Ch-1. 3,10,11,13,14,23. |
Aug
29 |
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Aug
26 |
Ch.
2: Continuity |
HW2: Ch-2. 3,10,12,17,22,27,33. |
Sep
5 |
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Sep
2 |
Ch.
2: Continuity |
HW3: Ch-2. 28,30,31 Ch-3.
1,3,5a-c |
Sep
12 |
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Sep
9 |
Ch.
3: Compact. & Connectedness |
HW4: Ch-3: 10,11,12,23,25,30,32 |
Sep
19 |
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Sep
16 |
Ch.
3: Compact. & Connectedness |
HW5: Ch-3: 33,34,38,41,42,44. |
Sep
26 |
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Sep
23 |
Ch.
4: Identification Spaces + M1 |
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Sep
30 |
Ch.
4: Topological Groups |
HW6: Ch-4: 1,2,7,16,26,27,28. |
Oct
10 |
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Oct
7 |
Ch.
5: Fundamental Group |
HW7: Ch-5: 2, 5, 9,
11, 12. |
Oct
17 |
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Oct
14 |
Ch.
5: Fundamental Group |
HW8: Ch-5: 15,21,22,25,26,29. |
Oct
24 |
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Oct
21 |
Ch.
5: Fundamental Group |
HW9: Ch-5: 33,37,45,46,49,50 |
Oct
31 |
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Oct
28 |
Ch.
5: Fundamental Group + M2 |
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Nov
4 |
Ch.
6: Triangulations |
HW10: Ch-6: 1, 3, 7, 20, 22 |
Nov
14 |
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Nov
11 |
Ch.
7: Surfaces |
HW11: Ch-7:
3,11,13,22,23,24 |
Nov
21 |
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Nov
18 |
Ch.
7: Surfaces |
HW12: Ch-7: 27,30,31,32,33 |
Dec
3 |
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Dec
2 |
Ch.
8: Simplicial Homology |
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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. |