Catalog Description:  Fundamental Concepts of Modern Geometry.  3 hrs.  Finite Geometries, basic background material for the modern development of Euclidean Geometry, other geometries.  (PR:  MTH 300)

Course Goals: 

• To extend students knowledge of Euclidean geometry
• To enrich the instructional program of future secondary teachers
• To introduce students to the concepts of non-Euclidean geometry
• To develop an enthusiasm for geometry

Course Content:  Use of Geometer's Sketchpad; conjecture and proof; triangle, circle, analytic, taxicab, transformational, and hyperbolic geometry; constructions; isometries; symmetry; the Poincaré disk. Approximately 9 pages of the text will be covered in each class session.

Required Materials: Reynolds, Barbara E, and William E. Fenton.  College Geometry, Using The Geometer's Sketchpad.  Key College Publishing. 2006.

Instructor: Dr. J. Silver

Office Hours:  2:00 - 3:30 MW; 11:00-12:00 TR  (Other hours by appointment)

Grading Policy: Grades will be figured on a percentage basis. There will be three exams. The homework average will be counted as equivalent to a fourth exam. Homework is due one week after assignment. The lowest four homework grades will be dropped. No excuses are accepted for late homework.

Attendance Policy: Attendance will be taken daily by collecting homework. Borderline grades will be determined by class attendance.

Exams: Tests will be given on September 25, October 30, and December 11.  If you are unable to take an exam due to unavoidable circumstances (e.g. illness, death in the family, accidents), you must contact me prior to the exam time and furnish written verification of the excuse in order to take a make-up test.

Graduate Students:  Students enrolled in this course for graduate credit (MTH 548) are required to turn in a 10 page term paper on topics from non-Euclidean geometry.  This will count as equivalent to an additional exam.