The syllabus of the course will mostly go through the
contents
of the textbook :
Syllabus :
Set Theory and Logic
- 1-7 , 9
Topological Spaces
- 12-17
Continuous Functions
- 18
MIDTERM 1 , Friday October 19th , See below for details
- 19-22
Connectedness
- 23 , 24
Compactness
- 26 , 27
MIDTERM 2 , Wednesday November 28th , See below for details
- 28 , 29
Separation Axioms
- 31 , 32 , 33 , 36
Paracompactness
- 39 , 41
Function Spaces
- 46
FINAL , Tuesday December 18th at 2:45-4:45PM , Van Vleck ,
B119
Homework:
HW01 : 1-3
2-2
3-1,6,15
5-4(d,e,f)
HW02 : 6-1(b),6,7
13-1,3,6
HW03 : 13-7
16-3,9,10
17- Give a proof for the Theorem 17.11,6,13,15,17
18-1
HW04 : 18-4,5,8,13
19-7
20-2,3,4
21-7,12
HW05 : 22-2,4
23-9,11
24-8
26-1,4,12
27-2(a,b)
HW06 : 28-2
29-1,8
31-3
32-3
36-3
39-2,4
46-1,3,4,5 (notice the modification on 28,29)
MIDTERM 1 INSTRUCTIONS:
- Exam Locations: Midterm is going to take place in class ,
B119 VV
- You're supposed to be ready in class at 9:50
- Here is an exam from previous years.
MIDTERM 2 INSTRUCTIONS:
- Midterm 2 covers the sections 18 to 27
- Exam Locations: Midterm is going to take place in class ,
B119 VV
- You're supposed to be ready in class at 9:50
- Here is an exam from previous years.
FINAL INSTRUCTIONS:
- Here is an exam from previous years.
- Final is cumulative, there is going to be more emphasis on the sections covered between 28-46.
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