Modern Geometry

Math 467-500

Spring 2002




Instructor: Peter F. Stiller
Office: Blocker Bldg. 634B
Office Phone: 862-2905
E-mail: stiller@math.tamu.edu
Office Hours: Spring Schedule



Course Information

Time: MWF 10:20 to 11:10
Place: Blocker Bldg. 164
Text: Euclidean and Non-Euclidean Geometries: Development and History by Marvin J. Greenberg
Supplementary Material: See the bibliography below
Prerequisites: Some experience with proofs - for example Math 304.
Grades: We will have two major exams, a mid-term and a final. Both will count for 30% of the grade. The mid-term will include an in class, as well as a take home, portion. We will have three in class quizzes that will count for 15% (5% each) and 5 problem sets that will count 25% (5% each).
Overview: This course will introduce the students to Euclidean Geometry and to some of the subsequent developments in Non-Euclidean Geometry, particularly hyperbolic geometry.



Syllabus

Detailed Description: We will cover a substantial portion of the book.

Topics



Bibliography:




Week #1 January 14 - 18

Read: Introduction and Chapter 1, pages 6-24. Try the following exercises:


Assignment #1 Due Monday January 21st in class.

Do the following exercises: Exercise 6 page 30 and Major Exercise 1 page 31-32.


Week #2 January 21-25

Read: Chapter 2, pages 38-58. Try the following exercises:


Assignment #2 Due Monday January 28 in class.

Do the following exercises: Exercises 2, 5, 6, 9 pages 63 and 64.


Week #3 January 28 - February 1

Read: Chapter 3, pages 70-76.


Quiz #1 Wednesday January 30 in class.




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