Math 5335 Geometry I

Fall 2018

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Syllabus & Course Information

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• Syllabus (last revised on 09/04/18)
• I'll place some of the activities we do in class in this folder.

Office Hours: Tuesday, 12:30-2:00 and Friday, 1:30-2:20 in Vincent 7

Professor Joel Roberts, who has taught this course multiple times, has posted a good explanation of how our approach to Geometry will be somewhat different than other courses. Please read it during the first week of the class.

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Related Links

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• GeoGebra
• Gradebook (on Moodle)
• Motorcycle movie about Geodesics
• Isometries and Symmetry
  • Freize Patterns
  • Wallpaper Groups
  • Use of Isometries in Escher's Tessellations
  • Escher's Horsemen (1946) Can you spot the glide reflections?
• The Eyeballing Game
• Quadrilaterals
• Encyclopedia of Triangle Centers
• Stereographic projection of the sphere onto the plane, which is a conformal map. If you do "reverse" or "inverse" stereographic projection, lines one the plane are mapped to circles through the north pole, which corresponds to the "point at infinity" on each line. See this example.
• Penrose Tiles
• Geometry Games. You can download the tic-tac-toe game we used in class (Torus Games) or the fly-throughs of the possible shapes of the universe (Curved Spaces; the 3-torus is the "box").

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Lecture Schedule & Homework Assignments

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Week of	Reading	Homework	Due	Solutions
9/3	Syllabus. Section 1 of 5335 description by Prof. Roberts. Review solving 2x2 systems of equations, either out of an old textbook, online resources, or an (ahem) not-so-technologically advanced handout like this.	Lab Assignment #0	W 9/12
9/10	Chapter 1, Sections 2.1--2.2 Slides	Homework #1	W 9/19	pdf
9/17	Sections 2.2--2.4, 3.1--3.2	Lab Assignment #1	W 9/26
9/24	Rest of Chapter 3 Sections 4.1, 4.2	Homework #2	W 10/3	pdf
10/1	Rest of Chapter 4 Chapter 5	Lab Assignment #2	W 10/10
10/8	Chapter 6 (Start) Reflection Example	Homework #3	W 10/17	pdf
10/15	Chapter 6 (Lecture Notes) Chapter 7 (start) Exam 1 Review	Lab Assignment #3	W 10/24
10/22	Chapter 7	Homework #4	W 10/31	pdf
10/29	Chapter 8 Chapter 9 (start - Section 9.1) (Be sure to understand our Similarity Sheet)	Lab Assignment #4	W 11/7
11/5	Chapter 9	Homework #5	W 11/14	pdf
11/12	Chapter 10 If you missed Wednesday: catch up here.	Lab Assignment #5	W 11/21
11/19	Chapter 11 (through 11.3) Wednesday: Spherical Triangles (See HW)	Homework #6	W 11/28	pdf
11/26	Chapter 11 (through 11.4) Chapter 12	Lab Assignment #6	W 12/5
12/3	Chapter 12 What is the hyperbolic plane?
12/10	Chapter 16 - Tour of Isometries	Take Home Final Exam	12/18, 11:00am

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Exam Info

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Look for information here once we're closer to exams.

• Exam 1 (10/24/18):
  • Exam 1 Review, Exam 1 Solutions
• Exam 2 (likely on12/5/18):
  • Exam 2 Review
  • How to Prove Theorem 8.11
  • How to Prove Propostion 8.7
  • Exam 2 Solutions
• Download the Take Home Final Exam

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Exam Gradelines

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Grade	Exam 1	Exam 2	Final
A	90
B	75
C	60
D	50
(Average)	86.3

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