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| 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. Assignment 1, due Monday, 1/27: Section 13, # 1, 3-8; Section 16 # 1-5, 7, 9, 10. Assignment 2, due Monday, 2/3: Section 17 # 1-16, 19, 20. Assignment 3, due Monday, 2/10: Section 18 # 2-4, 6, 8-12. Assignment 4, due Monday, 2/24: Section 6 # 3, 4, 5, 7; Section 7 # 4, 6*, 8*; Section 9 # 1, 6. *For MAT 5220, optional for MAT 4855. Here is a pictorial hint for the Schroeder-Bernstein Theorem. (Ignore the little rectangles -- they are an artifact.) Assignment 5, due Monday, 3/2: Section 19 # 1-3, 5-10; Section 20 # 3, 6, 8-10. Assignment 6, due Friday, 4/3: Section 21 # 1-3, 5-8, 10; Section 23 # 1-3, 5, 6, 9, 10. Assignment 7, due Friday, 4/10: Section 24 # 1-4, 8, 10, 11; Section 26 # 1, 3-6. (Note that # 6 is the essential step in proving that a bijective map from a compact space to a Hausdorff space is a homeomorphism.) Section 27 # 6 Assignment A, MAT 5220 only, optional for MAT 4855, due Thursday, 4/16: Supplementary Exercises on Topological Groups (p. 145) # 1-6; Section 25 # 9. Assignment 8, due Monday, 4/20: Section 27 # 1, 6; Section 28 # 1, 3, 4, 6, 7; Section 29 # 1, 3, 4, 5, 6, 11. Assignment 9 (last one!), due Friday, 4/24: Section 30 # 2, 4, 5, 12; Section 31 # 1-4; Section 32 # 1, 3. |
Exams: Make-up Midterm Exam (Tex file) Make-up Midterm Exam (PDF file) End-of-term Exam (PDF file) End-of-term Exam (Tex file) Final Exam (PDF file) Final Exam (Tex file) |
| References: Topology, a first course, by James R. Munkres, 2nd edition, Prentice-Hall. Notes on Introductory Point-set Topology, 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 Resources: 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. 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 LaTex Demo |
Solutions and
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