MAT 360 (Geometric Structures) - Spring 2016

Time and Place : TuTh 10:00-11:20 pm; Mathematics P131

Instructor : Radu Laza

Office : Math Tower 4-121
Email : radu.laza@stonybrook.edu

Office Hours: TuTh 1-2, Thr 5-6 (and by appointment)

Overview

This is a course in Euclidean planar geometry. A special emphasizes is on proofs and on recovering the theorems starting from basic principles (axioms). Time permitting, we will discuss some other topics (e.g. non-Euclidean geometry).

For the first part of the course (about 2/3 of the lectures) we will use:

[K] Kiselev's Geometry, Book I. Planimetry, adapted from Russian by Alexander Givental, Sumizdat, El Cerrito, Calif., 2006.

For the second part of the course we will use:

[Geom] Geometry (2nd Edition) by David A. Brannan, Matthew F. Esplen, and Jeremy J. Gray

Announcements

Welcome! Please check this webpage frequently (about once a week) for HW assignments and other important announcements.
Check the official Academic Calendar for important dates and deadlines.
HW 9 (Due May 5)
Final Exam: Thursday, May 5th (in class). It covers the material from midterms 1 and 2, plus affine transformations and conics. We will have a review on Tuesday (May 3 in class).
Midterm 2: Thursday (in class). It will cover Chapter 3 of [K]. Review session - Tuesday (Mar 29, in class), and extra OH Monday 2:30 (my office).
Midterm 1: Tuesday, Feb 23 (in class).

Grading

There will be 2 midterms and a final. We will have approximately 10 homework assignments.
The exams count for 75% of the final grade. The division is roughly: 35% for the final and 20% for each midterm. The remaining 25% will be for the homework assignments.
No late HWs, and no make-up exams. (There will an extra make-up HW in case you missed one HW assignment).

Schedule

Week	Subject	Sections Covered	HW Assigments
(1) Jan 26, 28	Lines, Segments, Angles Mathematical propositions Triangles (isosceles, congruence tests)	[K] 1.1-1.6
(2) Feb 2, 4	More on triangles: - triangle inequality - sum of angles - construction	[K] 1.7-1.10	HW 1 (due Feb 11)
(3) Feb 9, 11	Parallel lines, sum of angles The circle (1)	[K] 1.11-1.14 [K] 2.1-2.4	HW 2 (due Feb 18)
(4) Feb 16, 18	The circle (2) Four concurrency points in a triangle ------------------------------------------------- Review (Feb 18)	[K] 2.5-2.7 ----------------------------- Review Ch. 1 and 2	HW 3 (due Feb 25)
(5) Feb 23, 25 (Radu away/substitute)	Midterm 1: Tuesday, Feb 23 (in class) ------------------------------------------------- Mensuration	Midterm 1: [K] Ch 1-2 ----------------------------- [K] 3.1
(6) Mar 1, 3	Similarity	[K] 3.2-3.4	HW 4 (due Mar 10)
(7) Mar 8, 10	Geometric Mean, Pythagoras	[K] 3.5-3.6	HW 5 (due Mar 24)
(8) Mar 22, 24	Trigonometric Functions; Coordinates	[K] 3.7-3.9	HW 6 (due Mar 31)
(9) Mar 29, 31	Review (Feb 20) ------------------------------------------------- Midterm 2: Thursday, Mar 31(in class)	Midterm 2: [K] Ch 3
(10) Apr 5, 7	Regular Polygons, Circumference, Areas	Ch 4,5	HW 7 (Due Apr 14)
(11) Apr 12, 14	Conics, Affine Transformations	[Geom], Ch 1,2	HW 8 (due Apr 26)
(12) Apr 19, 21	Conics, Affine Transformations	[Geom], Ch 1,2	HW 9 (Due May 5)
(13) Apr 26, 28 (Radu away/substitute)	Non-Euclidean Geometries Hyperbolic and Elliptic Geometries
(14) May 3, 5	Review (May 3) ------------------------------------------------- Final Exam: May 5 (in class)