Math 402/571 Topology Spring 09 |
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Week |
week of |
Topics |
HW Problems |
Suggested Problems |
1 |
Feb 9 |
Ch. 1: Introduction |
Ch.1- 2, 6, 10, 11, 12, 23 |
Ch.1- 13, 14, 24, 26 |
2 |
Feb16 |
Ch. 2: Continuity + Q1 |
Ch.2- 8, 12, 15, 22, 27 |
Ch.2- 1, 9, 10, 17, 20, 33, 36 |
3 |
Feb 23 |
Ch. 3: Compactness & Connectedness |
Ch.3- 1, 15, 17, 23, 27 |
Ch.3- 5, 8, 11, 12, 18, 25 |
4 |
Mar 2 |
Ch. 3: Compactness & Connectedness + Q2 |
Ch.3- 30, 34, 43, 44 |
Ch.3- 32, 35, 38, 41 |
5 |
Mar 9 |
Ch. 4: Identification Spaces |
No HW |
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6 |
Mar 16 |
Ch. 5: Fundamental Group + M1 |
Ch.4- 1, 2, 5, 16, 26, 27 |
Ch.4- 10, 21, 22, 32 |
7 |
Mar 23 |
Ch. 5: Fundamental Group |
Ch.5- 1, 3, 5, 11, 15, 21 |
Ch.5- 4, 6, 7, 14, 18 |
8 |
Mar 30 |
Ch. 5: Fundamental Group + Q3 |
Ch.5- 16, 22, 25, 26 |
Ch.5- 18, 19, 27 |
9 |
Apr 13 |
Ch. 5: Fundamental Group |
Ch.5- 27, 28, 29, 32 |
Ch.5- 30, 31 |
10 |
Apr 20 |
Ch. 6: Triangulations + Q4 |
Ch.5- 33, 38, 40, 49 |
Ch.5- 37, 44, 50 |
11 |
Apr 27 |
Ch. 6: Triangulations |
No HW |
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12 |
May 4 |
Ch. 7: Surfaces + M2 |
Ch.6- 1 Ch.7-
3, 22, 32, 33 |
Ch.7- 4, 17, 23, 28, 30 |
13 |
May 11 |
Ch. 7: Surfaces |
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14 |
May 18 |
Ch. 7: Surfaces + Q5 |
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Instructor: Baris Coskunuzer |
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Prerequisite: Math 301 |
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Text: M.A. Armstrong, Basic Topology - Springer Undergraduate Texts
in Mathematics |
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Additional Reading: |
Introduction to Topology,
T. W. Gamelin, R.E. Greene - Dover Press |
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Introduction to Topology,
V.A. Vasiliev - AMS Student Mathematical Library |
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Further
Reading: |
Notes
on Introductory Point-Set Topology by A. Hatcher |
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Algebraic
Topology by A. Hatcher |
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Grading Policy: 15% HW + 15% Quizzes + 40% Midterms + 30% Final |
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Attendance Policy: 75% attendance is required. 90% attendance means 5 bonus
points. |
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Passing Grade: At least 40 |
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Class Time: MW 11:00-12:15 at ENG B18 |
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Exam Solutions: |
Midterm1 |
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Midterm2 |
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Final |
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Office
Hours: |
Monday 14:00 - 16:00 |
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Tuesday 14:00 - 15:00 |
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Monday 10:30 - 14:00 SCI
B51 (TA's office hour) |
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HW: HWs are due
Wednesday class of the following week. |
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Collaboration is
encouraged as long as everyone writes his own solution. |
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