Spring 2022 Topology (MAS 331
25.331)
Time: MW 10:30-11:45 (Midterm, Final time W 9:00-11:45)
ROOM: 3438
Instructor: Suhyoung Choi Building E6-1 No. 4403
e-mail: schoi at math dot kaist dot ac dot kr Phone: 2732
Assistant: (see KLMS for details)
Course book: Topology, 2nd Edition by James
Munkres
Prentice Hall (You can use the new international version by Pearson)
Schaum's outlines: General Topology, by S. Lipshcuitz, McGraw Hill; 1st edition (September 30, 2011) (You should buy these two.)
References: Topology, James Dugundji
Elementary Topology: Problem Textbook, O. Viro et al, Amer. Math. Soc. 2008
Grades: Attendance: 5 pts., Midterm exam: 20 pts., Final exam: 20 pts., Assignments: 5 pts.,Presentation: 50 pts.(More details will be in the KLMS)
Exams will be given according to the KAIST
schedule. There
are old exams at math.kaist.ac.kr/~schoi/teaching.html.
This is an EDUCATION 4.0 course. (For more details, see CELT.)
• The class meeting is divided into Monday one and Tuesday ones. The students with even student id numbers will attend the Monday classes, and the students with odd student id numbers will attend the Wednesday classes.
• The lectures will be given by videos posted in klms.kaist.ac.kr each week. One is automatically subscribed to this course in klms.kaist.ac.kr. We will use OneNote for lecture notes and distribute the links to you. (Download OneNote from kftp.kaist.ac.kr)
• You will listen to video lectures each week and read corresponding parts of the books. (See the course schedule pdf file to be uploaded in the KLMS.)
• In class, you will be divided into groups, will solve some sets of discussion problems, and give presentations. Discussion problems will be posted one day earlier. More detail will be on the KLMS.
• Also, we will run everything in Zoom until the midterm. After the midterm, we will try to have some offline courses with some groups following the policy of the KAIST administration.
• Full details will be in the KLMS.
The teaching homepage: http://math.kaist.ac.kr/~schoi/teaching.html
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
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Monday |
Wednesday |
Lectures |
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2/28 |
3/2 |
Introduction, 1-11 |
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3/7 |
3/9 (Holiday. Election) |
12, 13, 14, 15 |
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3/14 |
3/16 |
16, 17 |
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3/21 |
3/23 |
18, 19 |
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3/28 |
3/30 |
20, 21 |
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4/4 |
4/6 |
22, 23 |
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4/11 |
4/13 |
24, 25 |
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4/18 |
4/20 |
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Midterm |
| 4/25 | 4/27 |
26, 27 | |
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5/2 |
5/4 |
28, 29 |
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5/9 |
5/11 |
30, 31 |
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5/16 |
5/18 |
32, 33 |
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5/23 |
5/25 |
34, 35, 37 |
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5/30 |
6/1(Holiday, Election) |
43, 44 |
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6/6 (Holiday) |
6/8 |
45, 46 |
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6/13 |
6/15 |
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Final |
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