Summary: Syllabus for Math 475, Fundamentals of Geometry, Fall 2007
Instructor: Dr. Elizabeth Arnold
Office: Roop 111
Office Hours: Tu,Th 12:15pm-1:15pm, W 11:00am-12:00noon and by appointment.
COURSE DESCRIPTION: This course will cover topics from Euclidean and non-Euclidean Ge-
ometry. We will use the software Geometry Explorer as a supplement to the text. This software
can be installed on Windows, Macintosh or Linux machines. It will be available in the JMU Math
computer lab as well. It is understood that the students have as a pre-requisite an understanding
of (high school level) Euclidean geometry as well as prior experience with proving mathematical
results at the level of Math 245. Also desirable is some experience with matrix algebra and the
notion of a group from abstract algebra. Topics for this course will include axiomatic geometry,
more Euclidean geometry, analytic geometry, transformational geometry, non-Euclidean geometry
and fractal geometry. We will cover most of the sections in Chapters 1, 2, 5, 7 and 6 of the text and
as much of Chapter 9 as we can.
TEXT: Geometry with Geometry Explorer by Michael Hvidsten, Geometry Explorer CD (included
LATEX: In this class, we will learn and use the mathematical typsetting program LATEX. LATEXis