This class schedule is approximate. That is, it is the plan for future classes, and a brief summary of past classes. You should attend class and do the homework for a better understanding of what is covered.
| Week | Monday | Wednesday | Friday | ||
|---|---|---|---|---|---|
| 1 |
January 14 Logical Statements Syllabus [pdf] |
January 16 More Logical Statements Topological Tic-Tac-Toe [pdf] |
January 18 Topological Manifolds Today's Example Overheads [pdf] |
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| 2 |
January 21 M.L. King, Jr Day No class |
January 23 More Topological Manifolds Non-Orientability |
January 25 Non-Orientable Surfaces Homework 1 [pdf] due |
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| 3 |
January 28 Proof Techniques: Construction |
January 30 Connected Sums |
February 1 Products |
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| 4 |
February 4 Proof Techniques: Mathematical Induction |
February 6 More on Induction and Products Homework 2 [pdf] due |
February 8 Even More on Products Flat Manifolds |
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| 5 |
February 11 Proof Techniques: Contradiction |
February 13 Proof Techniques: More On Contradiction Homework 3 [pdf] due |
February 15 Flat Manifolds |
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| 6 |
February 18 Proof Techniques: Constructive Proofs |
February 20 Flat Manifolds |
February 22 Flat Manifolds Orientability vs Two-sided-ness |
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| 7 |
February 25 More on Orientability vs Two-sided-ness |
February 27 Review |
February 29 Exam One |
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| 8 |
March 3 Ch. 9: Spherical Geometry |
March 5 Ch. 10: The Hyperbolic Plane |
March 7 Ch. 11: Geometries on Surfaces Homework 4 [pdf] (postponed) due |
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| 9 |
March 10 Spring Break No Class |
March 12 Spring Break No Class |
March 14 Spring Break No Class |
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| 10 |
March 17 Homogeneous Geometries of Surfaces |
March 20 The Euler Characteristic Today's handout [pdf] |
March 21 Areas and the Euler Characteristic |
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| 11 |
March 24 More Areas and the Euler Characteristic |
March 26 |
March 28 Last Day to Withdraw |
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| 12 |
March 31 |
April 2 Homework 5 [pdf] due |
April 4 |
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| 13 |
April 7 |
April 9 |
April 11 |
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| 14 |
April 14 |
April 16 |
April 18 |
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| 15 |
April 21 |
April 23 |
April 25 |
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| 16 |
April 28 Review for the Final Exam Last Day of Class |
April 30 |
Thursday, May 1 Final Exam 8:30 AM to 11:30 AM Room TBA |