Course Material for Non-Euclidean Geometry

<title> 
Course Material for Non-Euclidean Geometry, Fall 2005 
</title>

<P>
<h1> 
<center>
Course Material for Non-Euclidean Geometry
</center>
</h1>

<P>
<h1> 
<center>
Fall 2005, 110.228. 
</center>
</h1>

<P>
<center>
Professor:  W. Stephen Wilson, Krieger 421, (410) 516-7413, wsw@math.jhu.edu
</center>

<P>
Textbook:  Foundations of Geometry by Gerard Venema.

(If you google Venema and find his web page for his book you
will find an errata sheet.  It seems that all of the errors are
simple typos that should cause no confusion.)

<P>
Class is 10am MTW, in Latrobe 120.

<P>
Office hours are MTW 9:15 to class time.  Also, you can
see me right after class.

<P>
The goal of the course is to understand the mathematics behind
this <A HREF="escher2.jpg"> Escher print</A> and
<A HREF="poincare2a.jpg"> this picture, jpg</A> or
<A HREF="poincare2.pdf"> this picture, pdf</A>.
Along the way we
will do the foundations of geometry right.

<P>
I have a doctor appointment Monday morning Dec 12 early.
I expect to make it to class on time but might miss
some office hour.


<P>
Reading assignments:

<ul>
<li>
September 13, Tuesday.  Chapter 1.

<li>
September 19, Monday.  Chapters 2-4 (2,3 and 4).

<li>
September 26, Monday.  Sections 5.1-4. (pages 52-63).

<li>
October 3, Monday.  The rest of Chapter 5 (pages 63-93).

<li>
October 10, Monday.  Chapter 6 (pages 94-134)

<li>
October 18, Tuesday.  Chapter 7 (pages 135-160)


<li>
October 24, Monday.  Sections 8.1-5 (pages 161-184)


<li>
October 31, Monday.  Sections 8.6-7 and Chapter 9. (pages 185-224)

<li>
November 7, Monday.  Chapter 10. (pages 225-263)

<li>
November 14, Monday.  Chapter 11. (pages 264-283)

<li>
November 21, Monday.  Chapter 12, Sections 1-6. (pages 284-309)

<li>
November 28, Monday.  Chapter 12, Section 7. (pages 310-326)

<li>
December 5, Monday.  Chapter 13. (pages 327-344)

<li>
December 12, Monday.  Chapter 14. (pages 345-383)


</ul>

<P>
Problem set assignments:

<ul>
<li>
For September 26, Monday.  Pages 90-91.  Problems:
5.1, 5.2, 5.5 and 5.6.

<li>
For October 3, Monday.  Pages 90-93.  Problems:  
5.20, 5.26, 5.29, 5.30, 5.36.

<li>
For October 10, Monday.  Pages 132-134.  Problems:  
6.4, 6.11, 6.31, 6.32, 6.41.

<li>
For October 18, Tuesday.  Pages 156-157.  Problems:  
7.5, 7.17 (4 problems), 7.18 (2 problems).  

<li>
For October 24, Monday.  Pages 192-193.  Problems:  
8.16 (a-g) (7 problems, 3 pts each).


<li>
For October 31, Monday.  Pages 221-224.  Problems:  
9.10, 9.14 (3 problems), 9.18.

<li>
For November 7, Monday.  Pages 259-261.  Problems:  
10.6, 10.18, 10.29. (4 points each)

<li>
For November 14, Monday.  Pages 282-283.  Problems:  
11.14(2 parts, 3 points each), 11.26(5 parts, 3 points each), 
11.27. (5 points)

<li>
For November 21, Monday.  Pages 282-283.  Problems:  
12.5 (2 parts, 3 points each), 
12.24 (2 parts, 3 points each), 
12.37,
12.54 (6 parts, 3 points each). 

<li>
For November 28, Monday.  No homework for Thanksgiving weekend.

<li>
For December 5, Monday.  Pages 341-344.  Problems:
13.2, 13.6 (4 parts, 3 points each), 13.7, 13.8.

<li>
For December 12, Monday.  Pages 380-381.  Problems:
14.10 (3 parts, 3 points each).


</ul>