Course.
Math 119 Spring 2017
2:00-3:20 TR, 239 Altgeld Hall

Instructor.
Aristotelis Panagiotopoulos
panagio2 at illinois.edu
Office hours. Thursdays at 3:20 PM and Fridays at 1:00 PM in our usual classroom. If no student shows up in the first 15 mins then I will leave. If you are planning to show up but you are late just email me and I will wait for you.
Syllabus. Here one can find a draft syllabus for the general guidelines we are going to follow.

Upcoming.

• Final 10 May 2017. 7-10 PM (in class).

Student presentations.

• Conic Sections. Presentation, Worksheet, Quiz.
• Golden Ratio. Presentation (with correct instructions for the construction of internal and external point), Worksheet, Quiz.
• Origami. Presentation, Worksheet 1, Worksheet 2, Activity, Quiz.
• Pythagorian school. Presentation, Worksheet, Quiz.

Crash courses on relevant topics.

• Week 1. An introduction to the history of Geometry through Art.
• Week 2. Plato describes in Timaeus a cosmology based on regular polyhedra (Platonic solids), (see wiki as well).
• Week 3. The Axiomatic Method.
• Week 4. Is the sum of the angles of triangle really 180 degrees ?
• Springbreak. Doubling the cube and trisecting the angle are impossible constructions!
• Fractal Geometries, Dragon curve activity (Solutions), Pollock and fractals
• Non Euclidean geometries intro, Online Poincare disc model.
• Things one can do with inversion (Video).

Worksheets. W1 (Solutions), W2 (Solutions), W3 (Solutions), W4 (Solutions,Solutions part 2), W5 (Solutions), W6 (see solutions of HW2 problem 4), W7 (Solutions) , W8 (Solutions) , W9 (Solutions) , W10 (Solutions) , W11 (Solutions) , W12 (Solutions) , W13 (Solutions) , W14 (Solutions), W15, W16 (Solutions), W17 (Solutions), W18 (Solutions), W18 and a half (Solutions), W19 (Solutions),

Quizzes. Q1 (Solutions), Q2 (Solutions), Q3 (Solutions), Q4 (Solutions), Q5 (Solutions), Q6 (Solutions), Q7 (Solutions),

HW. HW1 (Solutions), HW2 (Solutions), HW3 (Solutions), HW4 (Solutions), HW5 (Solutions), HW6 (Solutions), HW7 (Solutions),

Midterms. Midterm 1(Solutions), Midterm 2(Solutions),

Textbook. Each student is required to keep notes. That been said, you may find the following notes/books useful:

• "Ideas in geometry," Alison Ahlgren and Bart Snapp. (can be found here for free).
• "Famous problems of geometry and how to solve them," Benjamin Bold, (Dover Books on Mathematics).
• "Introduction to Non-Euclidean Geometry," Harold E. Wolfe, (Dover Books on Mathematics).

Home. Back to my website.