MAT 360: Geometric structures
Fall 2015

## Syllabus and Homeworks

There will be weekly homeworks which are to be written on a piece of paper (with your name, section and ID number) and handed to your instructor on due date. You must write not only the answers but also your reasoning and explanation, which must be written clearly enough so that the grader should be able to follow your reasoning. Answers without explanation will get only parital credit.

The following is a tentative syllabus, which is subject to change.

Week Dates Notes Topics HW Due date
1 8/24 - 8/28 1-8, 13-16, 21-27, 34-40 HW 1 9/2
2 8/31 - 9/4 31-33, 39-50 Problems 89, 91, 95, 101, 102 (a line is called equidistant from points A, B if the distance from this line to point A is equal to the distance to point B) 9/9
3 9/7 - 9/11 9/7, 9/8: no classes (Labor Day) 51-60 HW 3 9/16
4 9/14 - 9/18 70-87, 90-93 HW 4 9/23
5 9/21 - 9/25 94-98, 61-67 184, 194, 121, 134 (hint: see section 68), 202, 204. 'Construct' means 'construct using straightedge and compass'. 9/30 10/5
6 9/28 - 10/2 103-123 none
7 10/5 - 10/9 230, 237, 239, 247, 255, 261, 270, 283 10/12 (Monday)
8 10/12 - 10/16 10/14: Midterm
9 10/19 - 10/23 156--162, 170--171, 184--186 HW 7 10/28
10 10/26 - 10/30 Lecture notes on isometries (by Oleg Viro)
11 11/2 - 11/6 Lecture notes on isometries HW 8 11/11
12 11/9 - 11/13 Affine and projective geometry HW 9 11/18
13 11/16 - 11/20 Affine and projective geometry
14 11/23 - 11/27 11/25-11/29: Thanskgiving break Affine and projective geometry completed HW 10: complete the proof of Pappus theorem discussed in class 11/30
15 11/30 - 12/4 Non-Euclidean geometry
12/8 Final Exam