# Modern Geometry

### Spring 2001

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: TTh 2:20 to 3:35
Place: Blocker Bldg. 164
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 an in class, as well as a take home, portion. We will have four in class quizzes that 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.

## Syllabus

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

### Bibliography:

• xxxxx, Springer Verlag.

### Week #1 January 16 - 19

Read: Introduction and Chapter 1, pages 6-14. Try the following exercises:

• Page 26-27, Review Exercises 1-10.
Note: Exercises marked with an asterisk are especially recommended.

### Week #2 January 22-26

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 Thursday January 25th in class.

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

### Week #3 January 29 - February 2

Read: Chapter 2, pages 42-58. Try the following exercises:

• Page 62-69, Review Exercises and Read Exercise 7.

### Assignment #2 Due Tuesday February 6 in class.

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

### Week #4 February 5 - February 9

Read: Chapter 2, pages 58-62 and Chapter 3, pages 70-76.