Topology, Math 440/640

Spring 2012

Time and place: MW 2:30-3:45 pm in AB 206
Course Page http://wolfweb.unr.edu/homepage/naik/classes/440/
Instructor: Swatee Naik
Office: DMS 316
Email: naik@unr.edu
Office Hours: MW 10-noon, W 4:30-5:30 by appointment

Textbook
Munkres, J.R., Topology a first course, 2nd Ed. (2001), Prentice Hall, New Jersey.

Recommended reference
Jabuka, S., Topology,http://wolfweb.unr.edu/homepage/naik/classes/440/JabukaTopology.pdf


Assessment: The final grade for the course will be determined according to the breakdown below. Math 640 students should do the additional homework assignments indicated and will have extra reading assignments.
 

30% Homework
10% Quizzes and class participation (640: quizzes and reading assignment)
30% Midterm exam (Thursday, March 5th)
30% Final exam (Thursday, May 10, 2:45 - 4:45 pm )


The final grade is determined according to the standard table below (with plus and minus grades given in borderline cases. )

90% - 100% A
80% - 89% B
65% - 79% C
50% - 64% D



Lectures

Date
Chapter/Section/Quiz
Practice home work
Jan 23

Introduction & syllabus
1. Set theory and logic


Read chapter 1.
Jan 25

2. Topological spaces and continuous functions

12. Topological Spaces

 

Page 83: 1-4

Jan 30

13. Basis, subbasis

 
Feb 1

14. Order topology    Quiz 2 Soln

Page 83: 7,8
Feb 1 Last Day to drop with 100% refund
Feb 6

15. Product topology, HW 1 due

Solution,  LaTeX file
 
Feb 8
16. Subspace topology
Page 92: 2-4,6-10
Feb 13

17. Closed sets and limit points

Page 100: 1-4, 6-8

Feb 15

17. Closed sets and limit points, HW 2 due, Solution

Page 100: 10, 14-17, 19-20
Feb 20

President's Day holiday

Feb 22

18. Continuous functions

Page 111: 1-5
Feb 27

18. Continuous functions

Page 112: 9-12
Feb 29

Review, HW 3 due, Solution to HW 3

Solution to p.100, 8c
Mar 02 Midterm Review, noon-1 pm, AB 102
Mar 05 Midterm exam, Study Guide,  Sample questions
Mar 07

19. Product topology

Page 118:4-6

Mar 12

20. Metric topology

 
Mar 14

21. Metric topology, contd.

Page 126-7: 1-4
Mar 23 Last day to drop with W, 0% refund
Mar 17-23 Spring Break
Mar 26

21. Metric topology, contd.

 
Mar 28

22. The metric topology contd., quotient topology, HW 4 due

Page 144-5: 2-4
Solution to 3/28/2012 quiz
April 02

22. Homework Discussion

 
April 04

22. The quotient topology, contd.

 
April 09

2. Connectedness and compactness

23. Connected spaces

Page 152: 1-5,9,11
April 11

23. Connected spaces

Page 157-8: 1-3, 8, 10
April 16

24. Connected spaces of the real line

Page 162: 1, 4
April 18

25. Components and local connectedness, HW 5 due

 
April 23

26. Compact spaces, Topological groups (Smith)

Page 170-1: 1-7
April 25

26. Compact spaces, Product Vs. Box topology (Gossi)

 
April 30

27. Compact subsubspaces of the real line, Separation Axioms (McCoy)

Page 177: 2,4,6
May 02

29. Local compactness, Metrizability (Corder), HW 6 due

Page 186: 1,5,6
May 07

Review

 
May 09

Prep Day, Office hours at 5:30

May 10 Final exam - 2:45 - 4:45 pm

Graded home work assignments

No.

Problems Due date

1

Page 83: 1, 3, 8; 640: 5.

February 6

2

Page 92: 3,6,8; 640: 10.

February 15

3

P.100:3,6c,8a; 640: 1. P.111:1,2,5; 640: 12.

February 29

4

P.118:4,5. P.126:1a,3a,5; 640:2.

March 28

5

P.152:3,11. P157:1,3; 640:10.

April 18

6

P.171:2,4,6. 640: P177:2.

May 02

Extra Credit

P162:1, P177:6. P186:5.

May 07

Course guidelines

Absences. It is highly recommended that you attend class as the material in this course is at times challenging and may be difficult to master on your own. Missing a lecture is NOT an excuse for not knowing what material was covered that day, and what assignments were made or were due. Exam dates are firm; changes to homework, if any, will be announced in class. Quizzes will either be a surprise or announced a day ahead.

Make-up exam policy. Typically no make-up exams will be rescheduled. For absences with a valid emergency, such as an accident or illness, please notify the instructor at the earliest possible time.

Practice versus graded home work. Exercises from the Practice home work are intended to give you a chance to practice and refine the theory learned in class. These assignments are not to be turned in, however, it is critical that you complete these assignments. The only way to learn math is to do math! Dates for graded homework are posted above. Late work will not be accepted.

Disabilities. The Department of Mathematics and Statistics supports providing equal access for students with disabilities. Any student needing accommodations for a specific disability is encouraged to meet with instructor or any Department representative to ensure timely and appropriate accommodation.

Surreptitious or covert video-taping of class or unauthorized audio recording of class is prohibited by law and by Board of Regents policy.  This class may be videotaped or audio recorded only with the written permission of the instructor.   In order to accommodate students with disabilities, some students may have been given permission to record class lectures and discussions.  Therefore, students should understand that their comments during class may be recorded.   

Written work. We write to communicate. Please bear this in mind as you complete home work assignments and exams. Work must be neat and legible to receive consideration. You must explain your work in order to obtain full credit.

Various suggestions. It is recommended that you:



last updated Mon Apr 30 10:52:56 PDT 2012

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