Office: LeConte 406
Phone: 7-5134
Email: nyikos@math.sc.edu
Tentative office hours: MWF 10:00 - 11:30 and MW 2:30 - 3:30
Here is an abbreviated syllabus and statement of class policies in pdf format. It is for a Math 534 class I gave two years ago but there is no change except for class times and office hours.
Assignments for January and February may be found here.
Assignments from March and April, and all extra credit problems, may be found here.
The final exam in this course is cumulative, so that material covered on the first two tests can also be covered on the final exam, but special emphasis will be put on the material covered since the second hour test on Friday, April 13.
The April 13 test was on the parts of Sections 2.3 through 2.5, Chapter 3, Section 5.1, Section 5.2, and Section 6.1 that have been covered in class. This includes knowing the definitions of concepts defined in 2.3, 2.4, 2.5, 3.1, 3.2, 3.3, 5.1, 5.2, and 6.1.
You may be asked to do problems similar to:
Exercises 2.3, numbers 1 and 2
Exercises 2.4, numbers
1 and 2 and parts (a) and (b) of 3 and 6
Exercises 3.1, numbers 1 and 4 and parts (b) and (c) of 5, (a) and (b)
of 6.
Exercises 3.2, numbers 3, 13, and 14
Exercises 3.3, numbers 2, 5, 13, 16, 17
Exercises 3.4, numbers 3 and 4
Exercises 5.1, numbers 1 and 2
Exercises 5.2, numbers 2 and 21
Exercises 6.1, numbers 1 and 2
As in Problem 11 on the first test, some problems will ask you to give examples of various kinds; in each case, an example either covered in class or in homework will work.
For the proofs of Theorems 2.4.4, 2.4.6, and 2.4.7 you will have the option of either following the book proof or using Theorem 2.4.9 as was done in class; the latter method is probably a lot easier for most.
The proofs of the following could also be asked for:
2.3.7, 2.3.8, 2.3.9
2.4.14, 2.4.15, 2.4.16
2.5.6
3.1.1, 3.1.13
3.2.9, parts (a) iff (b), (a) iff (c), and (b) iff (f)
5.1.12
5.2.11
6.1.13
From time to time there will be more difficult homework problems marked with an asterisk *. For these, you will get a second chance, with hints given with your first attempt. If you don't get these right the first time, you get partial credit, hints, and half credit for any additional progress you make the second time around.
This semester, I am teaching a graduate course in general topology right after this one, in the same classroom! The two courses cover many of the same tthings but the graduate course is much more fast-paced and goes into greater depth, covering some more advanced topics. Anyone in Math 534 is welcome to listen to lectures in this other course.