Stony Brook University
515 Geometry for Teachers -- Fall 2015

* Index
* Course Description
* Teaching Staff, Office Hours
* Syllabus and Homework

Schedule, Syllabus and Homework for Spring 2015

Sections and Exercises from Kiselev's Geometry Book I, adapted by Alexander Givental

 
Week of Sections In class Homework
Aug 24 M:
W: 		Ex. 1 Ex. 2
Ex. 3 		(due 8/31) p. 17 learn proof of #24
p. 26 exercises 52, 54, 58, 59, 60, 61
Aug 31 M:
W: 		Ex. 1 Ex. 2
Ex. 3 Ex. 4 		Understand "basic construction problems" 1, 2, 3, 4, 5, 6.
p. 53 exercises 115, 116, 17, 119, 122
Sep 7
W: 11
Ex. 1 Ex. 2 		p. 63 exercises 143, 147, 149, 150
Sep 14 M:
W: 		Ex. 1 Ex. 2 Ex. 3 Smartboard
Ex. 1 Ex. 2 Ex. 3 Smartboard 1, 2 		Read Sections 93 through 97
Class exercise 2.3, Ex. 178, 179, 181, 182
Sep 21 M:
W: 		Ex. 1 Ex. 2 Ex. 3 Smartboard
Ex. 1 Ex. 2 Ex. 3 Ex. 4 Smartboard
 		Read 126. Exercises 259, 265, 266, 267, 271, 274
Sep 28 M:
W: 		Ex. 1 Ex. 2 Ex. 3 Smartboard
Ex. 1 Ex. 2 Smartboard 		Prepare 0930-Exercise 2. Hand in 276, 278, 279,
292, 293, 296, 298
Oct 5 M:
W: 		Ex. 1 Ex. 2 Ex. 3 Ex. 4 Smartboard
Review for Midterm Smartboard
Oct 12 M:
W: 		Midterm Monday October 12
Ex. 1 Ex. 2 Smartboard
 		330, 332, 333, 337, 339, 343
Oct 19 M:
W: 		Ex. 1 Ex. 2 Smartboard
Ex. 1 Ex. 2 Ex. 3 Ex. 4 Smartboard
 		347, 348, 349
402, 404, 409
Oct 26 M:
W: 		Ex. 1 Ex. 2 Ex. 3 Smartboard
Ex. 1 Ex. 2 Ex. 3 Smartboard
 		Read 203, 204; Ex. 428, 429, 430, 432. Use a calculator to
calculate x - x3/6 + x5/120 for x=.25 and compare with sin(.25).
Nov 2 M:
W: 		Ex. 1 Ex. 2 Ex. 3 Smartboard
Ex. 1 Ex. 2 Ex. 3 Ex. 4 Smartboard 		Ex. 433, 434, 435, 439. Use the spherical law of cosines to calculate the
great-circle distance NY (40.7oN,74oW) to Tashkent (41.3oN, 69.2oE).
Nov 9 M:
W: 		Ex. 1 Ex. 2 Ex. 3 Smartboard
Ex. 1 Ex. 2 Smartboard
 		I: inversion in circle of radius 1 in the x,y plane. Calculate explicitly
a) I(the circle x2+y2=1/4)   b) I(the circle x2+(y-1/3)2= 1/9)
c) I(the line y=2-x)   d) I(the line x=1/2)
Nov 16 M:
W: 		Ex. 1 Ex. 2 Smartboard
Ex. 1 Ex. 2 Ex. 3 Smartboard
Proof that inversion preserves angles between circles (corrected). 		1. Like 11/18 Ex.1, except points are (√3/4, 1/4) and (3√2/8, 3√2/4);
trig will help. 2. a) show that the circle of center (2,0) and radius √3
intersects the unit circle at right angles. b) Calculate inverse in that circle
of (1/2,1/2).
Nov 23 M:
W: 		Ex. 1 Ex. 2 Smartboard
(Wednesday: Thanksgiving Break)
Nov 30 M:
W:
  		Review for Final
Michelle Manes (University of Hawai'i) will run
a Mathematics Teachers' Circle mini-session.