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.)

 
You are expected to have prepared for the lecture by reading ahead and solving
some of the problems.

****Important Lecture policy

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