MAT 5220
  
Spring 2019

Dr. Delman



Syllabus




Announcements

The end-of-term exam will be in class on Wednesday, April 24.



Assignments:

This section contains only the written assignments to be submitted.  It goes without saying that you should anticipate the material to be covered and read the relevant sections of the text before class.  It goes even more without saying that you should read the text that pertains to the exercises before attempting them.

Submissions that amount to rough drafts will not be looked upon (read "graded") kindly!  All assignments are due by the beginning of class on the designated date unless otherwise noted.

Due Friday, January 18:  Assignment 1:  Hatcher, Chapter 1, # 1-8, 10, 11.  Here is a Latex template for Assignment 1.

Due Monday, February 11:  Assignment 2:  Hatcher, Chapter 1, # 12-14;  Munkres, Section 13 # 3-6;  Section 16 # 2-6, 8-10;  Section 17 # 1 (you should find this one easy!), 3, 6-9, 11-13, 19(b), 20;  Section 18 # 2,3, 5, 6, 8-13.

Due Wednesday, February 20 Assignment 3:  Hatcher, Chapter 2 # 1, 2, 3, 4, 6.

Due Wednesday, March 20:  Assignment 4:  Hatcher, Chapter 2 # 5, 7;  Munkres, Section 23 # 1, 2, 6, 9;  Section 24 # 1, 2, 3, 8, 10, 11;  Section 25 # 4, 9.  (See p. 145 of Munkres for the definition of a topological group.)

Due Wednesday, April 3:  Assignment 5:  Hatcher, Chapter 3, # 1-10.

Due Wednesday, April 10:  Assignment 6:  Hatcher, Chapter 3, # 11-15.  Munkres, original edition, Section 3-5 # 1, 6, 8, 10;  Section 3-7 # 5(a-d), 6, 7.

Due Wednesday, April 17:  Assignment 7:  Hatcher, Chapter 4 # 1, 2, 3.

Exams:

In-class Midterm

Take-home Midterm
References:

Topology, by James R. Munkres, 2nd edition, Prentice-Hall.

Topology Notes, by Allen Hatcher.

Algebraic Topology, by Allen Hatcher, Cambridge University Press.  The most up-to-date edition is always downloadable free of charge from Dr. Hatcher's Web site.

Topology from the Differentiable Viewpoint, by John W. Milnor. 

Latex References:

Tex Users Group (TUG):  Extensive information on all aspects of Tex, including applications and installation on various platforms, additional packages, etc.

Guide to Latex, by Helmut Kopka and Patrick Daly, 4th edition.  An excellent overall guide to typesetting and managing documents, which will download for free when you click on the link provided.

More Math into Latex, by George Gratzer, 4th edition.  Another excellent and very readable general guide, which you can download for free using the link provided.


Introduction to Latex
:  A slide presentation by Drs. Broline, Mertz, and Slough of the EIU Math & Computer Science Department, which gives a nice quick overview.

Latex Math Symbols
Solutions and Supplementary Materials:


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