Peter F. Stiller
Office: Milner Hall 215 or Blocker Bldg. 634B
Office Phone: 5-5727 or 2-2905
Time: MWF 10:20 to 11:10
Place: Blocker Bldg. 163
Text: Euclidean and Non-Euclidean Geometries: Development and History by Marvin J. Greenberg
Supplementary Material: See the bibliography below
Prerequisites: The equivalent of Math xxx
Grades: We will have two major exams, a mid-term and a final. Both will count for 25% of the grade. The mid-term will include and in class, as well as a take home, portion.
We will have four in class quizzes thŒt will count for 20% (5% each) and 6 problem sets
that will count 30% (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.
Detailed Description: We will cover a substantial portion of the book.
- Euclid's Geometry and Historical Perspective
- Logic and Incidence Geometry
- Axioms of Euclidean Geometry - Hilbert's Version
- Euclidean (or Neutral) Geometry
- Parallel Postulate - Some History
- Introduction to Non-Euclidean Geometry
- Independence of the Parallel Postulate
- Geometric Transformations
- Hyperbolic Geometry
Week #1 January 19 - 22
Read: Introduction and Chapter 1, pages 6-14. Try the following exercises:
Note: Exercises marked with an asterisk are especially recommended.
- Page 26-27, Review Exercises 1-10.
Week #2 January 25-29
Read: Chapter 1, pages 16-24 and Chapter 2, pages 38-41. Try the following exercises:
- Page 27-31, Exercises 1-4, 8, 9, 10, 12
Assignment #1 Due Friday January 29th in class.
Do the following exercises: Exercise 6 page 30 and Major Exercise 1 page 31-32.
Week #3 February 1-5
Read: Chapter 2, pages 42-51. Try the following exercises:
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