MAT 3153 – Introduction to Topology

Winter 2010


Content of the course: Sets, functions, countability. Topology of the real line and of Euclidean space, compactness and connectedness, continuous functions. An introduction to algebraic methods in topology: homotopies and the winding number of curves in the plane, the index of a vector field in the plane, or the classification of surfaces. Prerequisites:  MAT 2121.

Text: J. R. Munkres, “Topology”, second edition, Prentice Hall, ISBN 0-13-181629-2.

Lectures:        Monday 8:30-10:00 KED B005

Thursday 10:00-11:30 KED B005

Office hours: Wednesday 13:00-15:00.

Assignments: There will be 4 assignments. Late assignments will not be graded.

 

Evaluation: Your grade for the course shall be the maximum of

 

(a)    your score on the final exam, and

(b)   your term mark, which is the weighted average of your scores on the assignments (40%), the mid-term (20%) and the final (40%).

 

In addition: To receive a passing grade, you must score at least 45% on the final exam, and to receive an E or better, you must score at least 40% on the final. Missed assignments and tests cannot be written at another time; their weight will be added to that of the final in the calculation of the term mark.

Remarks:  If needed, any change in the course description will be announced in class. It is the responsibility of the student to be aware of any modification of the course description.


Assignments

 

Assignment #1: Due February 4th          Solutions

 

Assignment #2: Due March 4th              Solutions

 

Assignment #3: Due April 12                Solutions

 

 

Problem list for the final exam.

 


Lectures

 

 

January

Monday

Thursday

 

7

11

14

18

21

25

28

 

February

Monday

Thursday

1

4

8

11 - midterm

15 - Winter

18 - break

22

25

 

March

Monday

Thursday

1

4

8

18

15

18

22

25

29

 

 

April

Monday

Thursday

 

1

5 – Easter break

8

12

 

 


Paul-Eugène Parent
Department of Mathematics and Statistics
Office  KED 305G
585 King Edward
tel. 562-5800 ext 3532
e-mail: pparent@uottawa.ca