Math 301 Survey of Geometries

Spring 2003

This calendar may change over the course of the semester.  Review it regularly (refreshing the webpage) to stay aware of updates and news.

Reading and homework assignments are listed for the due date.  Holidays are coded in green, test days in red.

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January 2003
Monday Tuesday Wednesday Thursday Friday
 13  14

NO MEETING

 15 16

NO MEETING
17
20

Martin Luther King Day
21

Euclid's Elements,
The Pythagorean Theorem,
nature of proof and axiomatics
22

 
23

Euclid's axioms vs. "our" axioms
First paper due: The Heritage of Euclid
Read Chapter 0, Sections 1.1-1.2
24

 
27

 
28

Triangle congruence
Read Section 1.3-1.4
Turn in solutions: Exercises 1.5, 1.6
29

 
30

Parallelism

 31
February 2003
Monday Tuesday Wednesday Thursday Friday
 3 4

Pons asinorum,
the "Star Trek" Lemma

Read Sections1.5-1.7
Turn in: Exercises 1.13, 1.14, 1.19		 5
6

Similarity

 
7
10
11

Power of a point
Read Sections 1.8-1.11
Turn in: Exercises 1.25, 1.29, 1.33, 1.35
12
 13

Centroid
14
17
18

Incenter and excenter
Read Sections 1.12-1.15
Turn in: Exercises 1.41, 1.46, 1.51, 1.53, 1.58
19
20

Orthocenter
21
24
25

Circumcenter
the Euler line
Read Sections 5.1-5.3
Turn in: Exercises 1.70, 1.71, 1.80, 1.83, 1.90, 1.93
26
27

Midterm Exam
(Ch 1-5)

  .
March 2003
Monday Tuesday Wednesday Thursday Friday
3 4

SPRING

 5 6

BREAK
7
10

 
11

The nine-point circle,
Feuerbach's circle
Read Sections 5.4-5.5, 6.1-6.2
Turn in: Exercises 1.98, 1.111, 1.112, 1.122, 1.123, 1.124
12

 
13

Menelaus' and

Ceva's Theorems
14

 
17
18

Platonic solids,
Euler characteristic
Read Sections 6.3-6.7
19
20

Semi-regular polyhedra,
the 4-sphere
21
24
25

Hyperbolic geometry,

neutral geometry
Read Sections 7.1-7.5 
26
27

Congruence, similarity,
and parallelism in

hyperbolic geometry
28
April 2003
Monday Tuesday Wednesday Thursday Friday
. 1

Asymptotic triangles
Read Sections 7.6-7.7

 2 3

The upper half-plane
4
7
8

Circle inversion 
Read Sections 7.8-7.13
9
10

Fractional linear transformations
11
14
15

Cross ratio
Second paper due


 
16
17

EASTER 
18

BREAK
21
22

Transformations of the
hyperbolic plane
Read Sections 3.1-3.4
23
24

Length and area in
the hyperbolic plane

 25
28
29

Ruler and compass
constructibility
Read Sections 3.6-3.7

 30  . . 
May 2003
Monday Tuesday Wednesday Thursday Friday
. . . 1

Constructions of

regular polygons
2
5
 6

Final Exam
5:30 - 6:45

 7 8 9