Math 4341: Topology
Fall
2021
JO
3.516 / TTh 8:30 - 9:45am
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Instructor: |
Baris
Coskunuzer / FA 2.410 / coskunuz@utdallas.edu |
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Office Hours: |
Tu
10-11am (in-person) & Wed 3-4pm (Teams) & by appointment. |
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TA & Office Hours: |
Astrit
Tola / astrit.tola@utdallas.edu
/ MW 2-3pm (Teams) |
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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 2 in-class exams on Sep 30 and Nov 11. 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
23 |
Ch.
1: Introduction |
HW1: Ch-1. 3,10,11,13,14,23. |
Sep
2 |
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Aug
30 |
Ch.
2: Continuity |
HW2: Ch-2. 3,10,12,17,22,27,33. |
Sep
9 |
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Sep
6 |
Ch.
2: Continuity |
HW3: Ch-2. 28,30,31 Ch-3.
1,3,5a-c |
Sep
16 |
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Sep
13 |
Ch.
3: Compact. & Connectedness |
HW4: Ch-3: 10,11,12,23,25,30,32 |
Sep
23 |
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Sep
20 |
Ch.
3: Compact. & Connectedness |
HW5: Ch-3: 33,34,38,41,42,44. |
Sep
30 |
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Sep
27 |
Ch.
4: Identification Spaces + M1 |
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Oct
4 |
Ch.
4: Topological Groups |
HW6: Ch-4: 1,2,7,16,26,27,28. |
Oct
14 |
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Oct
11 |
Ch.
5: Fundamental Group |
HW7: Ch-5: 2,
5, 9, 11, 12. |
Oct
21 |
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Oct
18 |
Ch.
5: Fundamental Group |
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Oct
25 |
Ch.
5: Fundamental Group |
HW8: Ch-5: 15,21,22,25,26,29. |
Nov
2 |
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Nov
1 |
Ch.
5: Fundamental Group |
HW9: Ch-5: 33,37,45,46,49,50 |
Nov
9 |
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Nov
8 |
Ch.
6: Triangulations + M2 |
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Nov
15 |
Ch.
7: Surfaces |
HW10: Ch-7:
3,11,13,22,23,24 |
Nov
30 |
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Nov
29 |
Ch.
7: Surfaces |
HW11: Ch-7: 27,30,31,32,33 |
Dec
7 |
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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. |