Spring 2014 Topology (MAS 331 25.331)


Time: MW 10:30-11:45
ROOM: Creative building 202. (Note room change.)
Exercise classes:

Instructor: Suhyoung Choi Building E6-1 No. 4403
e-mail: schoi at math dot kaist dot ac dot kr Phone: 2732

Assistant: 정홍택, 박상현 (see KLMS for details)

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.

Course book:  Topology, 2nd Edition by James Munkres Prentice Hall (Buy the new international version by Pearson)

References: Topology, James Dugundji, WCB
                  Basic Topology, M.A. Armstrong, Springer Verlag
                   Elementary Topology, Problem Textbook, O. Viro et al, AMS

Grades: Midterm(150pts) Final(150pts) Quiz (100pts) Class participation (25pts for attendance, 25pts for discussion points)
Total 450pts

Exams will be given according to the KAIST schedule. There are old exams at math.kaist.ac.kr/~schoi/teaching.html.


The teaching homepage: http://math.kaist.ac.kr/~schoi/teaching.html

Course homepage: http://math.kaist.ac.kr/~schoi/Topology2014I.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


Midterm: Sections 1-25

Final: Sections 26-45

 

Monday

 

Wednesday

 


3/3

 1-11

3/5

 8-11, 12


3/10

 12, 13

3/12

 14, 15


3/17

 16, 17

3/19

 17


3/24

 18

3/26

 19


3/31

 20

4/2

 21


4/7

 22

4/9

 23


4/14

 24

4/16

 25, 26


4/21

Midterm

4/23

Midterm


4/28 26 4/30
27

5/5

Holiday

5/7

28


5/12

 29

5/14

 30


5/19

 31

5/21

 32


5/26

 33

5/28

 34,35


6/2

 35,37

6/4

 43


6/9

 44,45

6/11

 45


6/16

 Final

6/18

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.35:p.223, 2, 4, 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