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DSP students should speak to the instructor as soon as possible, even if you don't have a letter yet.

Guidelines on what to do if you think you may have a conflict between this class and your extracurricular activities. In particular, you must speak to the instructor before the end of the second week of classes.

Academic honesty in mathematics courses: A statement on cheating and plagiarism, courtesy of Michael Hutchings.

How to get an A in this class, courtesy of Kathryn Mann.

Week 1 --- Thursday, August 24:Introduction to the Class Reading: Believe It, Then Don't: Toward a Pedagogy of Discomfort

Week 2 --- August 30 and September 1:Stillwell, Chapters 1 and 2 Handout: Euclid's Elements (for the adventurous, here's a Greek version) Activity:Euclid: the gameHomework (due Tuesday, September 6): Click here

Week 3 --- September 6 and 8:Stillwell, Chapter 2 Reading: Critique of the method of superposition, from Hartshorne Proofs of the Pythagorean Theorem: Click here For fun: Hinged dissections Homework (due Tuesday, September 13): Click here

Week 4 -- September 13 and 15:Constructibility Reading: Constructible n-gons and field extensions (fromConjecture and Proofby M. Laczkovich) Video: Construction of 17-gon (other videos: 1 and 2) Homework (due Tuesday, September 20): Click here

Week 5 -- September 20 and 22:Hilbert's Axioms Reading: Sections 2.6 and 2.7 in Hartshorne Homework (due Tuesday, September 27): Click here

Week 6 -- September 27 and 29:Hilbert's Axioms and Intro to Projective Geometry Reading: Sections 2.8, 2.9, and 2.10 in Hartshorne Reading: How to Win the Lottery with Projective Geometry (fromHow Not To Be Wrong, by Jordan Ellenberg) Homework: Prepare for Midterm

Week 7 -- October 4 and 6:Midterm and Projective Geometry Cumulative Midterm: Tuesday, October 4 covering: up to and including Hilbert's Axioms (the axioms will be provided on the midterm) Independent Project: Description, Topic Suggestions, and Grading Scheme Homework (due Tuesday, October 11): Click here

Week 8 -- October 11 and 13:Stillwell, Chapters 5 & 6 Homework (due Thursday, October 20): Click here

Week 9 -- October 18 and 20:Last week of Projective Geometry No class on October 18 Reading: Wikipedia page on planar ternary rings Reading: Planar ternary rings (see Appendix I) and projective plane --> p.t.r. (see pages 127-8)

Week 10 -- October 25 and 27: Stillwell Chapters 7 & 8Homework (due Tuesday, November 1): Click here Reading: Wikipedia pages on quaternions and on quaternions for rotations

Week 11 -- November 1 and 3: Stillwell Chapter 8Homework (due Tuesday, November 8): Click here More on quaternions and 4-dimensional geometry: Hypernom the game, explained here Möbius transformations: video by Douglas Arnold and Jonathan Rogness, with explanation, and an interactive applet by Terry Tao.

Week 12 -- November 8 and 10: Stillwell Chapter 8Reading: Stillwell 8.6, hyperbolic distances Optional Reading (sec. 5 on): ignore the differential geometry; "Lobachevsky" = "hyperbolic"; for us,ais always 1 Homework (due Tuesday, November 15): Click here Tilings of hyperbolic space by Jos Leys Movies of hyperbolic isometries by Goodman-Strauss

Week 13 -- November 15 and 17: Geometry on SurfacesReading: Here (ignore the "3-manifold" parts) and here Optional Reading: The Shape of Space (by Jeff Weeks) -- chapters 1-5 Homework (due Tuesday, November 22): Click here (triangle paper)

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