Spring 2011 Topology (MAS 331
25.331B)
Time: MWF 13:00-14:00
ROOM: 3433
Exercise classes:
Instructor: Suhyoung Choi Building E6-1 No. 4403
e-mail: schoi at math dot kaist dot ac dot kr Phone: 2732
Assistant:
Important notice: Those
people who do not take the midterm or final
exam will be given F.
Those students who do not take more than 30% of the quizzes will be
given
F.
Grade distributions:
A:35%, B:45%, C or below 20%. (I will include
the people who drop the course.)
some of the problems.
Course book: Topology, 2nd Edition by James Munkres Prentice Hall
References: Topology, James Dugundji WCB
Basic
Topology, M.A. Armstrong Springer Verlag
Grades: Midterm(150pts) Final(150pts) Quiz
(100pts) Class
participation (50pts)
Total 450pts
Exams will be given according to the KAIST
schedule. There
are old exams at math.kaist.ac.kr/~schoi/teaching.html.
Quizzes: There will be a quiz almost every week.
There will
be one or two problems to solve
given 20 minutes. The quiz problems are very similar or identical with
the
homework problems.
One should prepare for them by groups of students working on homework
problems
together.
The homework problems are not to be turned in.
The teaching homepage: http://math.kaist.ac.kr/~schoi/teaching.html
Course homepage: http://math.kaist.ac.kr/~schoi/Topology2008I.htm
Chapter 1: Set theory and logic: Review
Chapter 2: Topological spaces and continuous functions
Chapter 3: Connectedness and Compactness
Chapter 4: Countability and Separations
Chapter 5: The Tychonoff theorem
Chapter 7: Complete metric spaces and function spaces
Chapter 8: Baire spaces and dimension theory (48 only)
Midterm: Sections 1-25
Final: Sections 26-48
Monday |
|
Wednesday |
|
Friday |
|
2/7 |
1-4 |
2/9 |
5-7 |
2/11 |
9-11 |
2/14 |
12, 13 |
2/16 |
13 |
2/18 |
14 |
2/21 |
15 |
2/23 |
16 |
2/25 |
17 |
2/28 |
17, 18 |
3/2 |
18 |
3/4 |
19 |
3/7 |
20 |
3/9 |
20 |
3/11 |
21 |
3/14 |
22 |
3/16 |
22 |
3/18 |
23 |
3/21 |
24 |
3/23 |
25 |
3/25 |
26 |
3/28 |
Midterm |
3/30 |
Midterm |
4/1 |
Midterm |
4/4 |
26 |
4/6 |
26,27 |
4/8 |
27 |
4/11 |
28 |
4/13 |
29 |
4/15 |
30 |
4/18 |
30 |
4/20 |
31 |
4/22 |
32 |
4/25 |
33 |
4/27 |
33 |
4/29 |
34 |
5/2 |
37 |
5/4 |
43 |
5/6 |
44 |
5/9 |
45 |
5/11 |
45 |
5/12 |
46 |
5/16 |
46 |
5/18 |
47,48 |
5/20 |
48 |
5/23 |
Final |
5/25 |
Final |
5/27 |
Final |
|
|
|
|
|
|
Lecture notes are in the course homepage in mathsci.kaist.ac.kr. They will be uploaded at the end of each week.
Homework sets: Do not turn in your works but you
should
know how to solve these problems.
For quizzes, the teaching assistants will make problems similar to
these. The
best way is
to study the problems that were taught on that day.
S.1: p.14: 2,3,5, S.2:p.20: 2,
S.3:p.29:11,12,
S.4:p.34:1,3, p.35:6,7,9, S.7:p.51:4,5,
S.10: p.66: 1, p.67: 2, 3,6, S.11:2,3, p.72:5
S.13:p.83: 3, 4,
S.16:p.92:3,4,8,9.
S.17:p.100: 2,3, p. 101: 6, 9, 13, 14, p.102: 19, S.18:p.111: 1,3,4,
S.19:p.118: 1,4,6,9, S.20:p.126: 2, p.127: 4,6,
S.21:p.133:3, p.134:5,7,9. p.135: 12. S.22:p.144:2, p.145:3,
S.23:p.152:2,3,10, S.24:p.157:1, p.158:5,7,8, S.25:p.162:1,6, p.163:8.
S.26:p.170:1, p.171:3,4,6,7, S.27:p.177:2, p.178:6
S.28:p.181:3,6,7, S.29:p.186:1,4,7,8, S.30:p.194:2,4,5,14.
S.31:p.199: 1,2,5,7, S.32:p.205: 1,2,3.
S.33:p.212: 2,3, p.213:4,5,7, S.34:p.218:3,6,7,
S.37:p.235:2 S.43:p.270:2,3,4, p.271:8, S.45:p.280:1,2,4,5.
S.46:p288:1,6, p.289:9, S.47:p.292:1, S.48:p.298:1, p.299:2,3