Mathematics 130/E-138
Problems due Wednesday, April 8, 2009
Euclid is online at http:/aleph0.clarku.edu/~djoyce/java/elements/toc.html
Try these problems over the weekend. If you need me to spend time in Monday's class on the
topic of Minkowski circles, s
Mathematics 130
Problem Set 2 due Wednesday, February 18, 2009
Reading: course-pack notes on three ways to measure angles and lengths.
In parallel with the notes on 18 models of Cayley-Klein geometries, look at Yaglom, pages
214-255. The book is on reserv
Mathematics 130
Problem Set 3 due Wednesday, February 25, 2009
For purposes of this problem set, 53o means arctan 4/3, so that sin 53o = 0.8 and cos 53o = 0.6.
74o means arctan 24/7, so that sin 74 o = 0.96 and cos 74 o = 0.28.
If you know how to use Math
Mathematics 130
Problem Set 4 due Wednesday, March 4, 2009
Note: tan 37o = 3/4 and tan 74o = 24/7 by definition. Thus, for example, 0.96 = sin 74 o.
1. Here is a concrete example of calculating the product of two rotations by the technique shown
on the co
Mathematics 130
Problem Set 1 due Wednesday, Feb. 11, 2009
It should be possible to do all these problems on the basis of the February 4 lecture.
Recommended reading:
Ryan, Chapter 0, the first two pages of Chapter 1, and page 189.
You might also want to
Mathematics 130
Problem set 6 due Wednesday, March 18, 2009(abridged)
The midterm exam on March 18 will cover material up through this problem set. There will be
more Galilean geometry on Monday the 16th, but it won't be on the exam.
The last two problems
Mathematics 130/E-138
Problems due Friday, May 8, 2009
Put your problem set in Jonathan Wang's mailbox outside Science Center 322 by 4 PM. You can
save yourself a trip to the Science Center by handing in the problems at class on Wed., May 6.
For some of t
Mathematics 130/E138
Problems due Wednesday, April 15, 2009
For some of these problems, you will need a calculator with trig functions. Even better, you can
use Mathematica or a similar software package, which will do cross products automatically.
Printed
Mathematics 130
Problems due Wednesday, April 1, 2009
Euclid is online at http:/aleph0.clarku.edu/~djoyce/java/elements/toc.html
Delay trying the last three problems until after the March 30 lecture.
1. Here is a physics problem.
"At time t = 0, Bill boar
Mathematics 138
Problem Set 5 due Wednesday, March 11, 2009
1. Find the 2x2 matrix A and the vector b for the affine transformation T that carries
1 into 4 , 1 into 2 , and 1 into 0
1
2 1
0
1
6
2. a. Ryan, problem 11 on page 67.
b. Find t