 
Summary: Syllabus for Math 475, Fundamentals of Geometry, Fall 2008
Instructor: Dr. Elizabeth Arnold
email: arnoldea@math.jmu.edu
Phone: 5686532
URL: www.math.jmu.edu/~arnoldea
Office: Roop 111
Office Hours: Tu,Th 10:45ampm11:45am, W 12:00noon1:00pm and by appointment.
COURSE DESCRIPTION: This course will cover topics from Euclidean and nonEuclidean 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 prerequisite an understanding of
(high school level) Euclidean geometry as well as prior experience with proving mathematical results
at the level of Math 245. Topics for this course will include axiomatic geometry, more Euclidean
geometry, analytic geometry, transformational geometry, nonEuclidean geometry and fractal geom
etry. We will cover most of the sections in Chapters 1, 2, 5, and 7 of the text and as much of Chapter
9 as we can.
TEXT: Geometry with Geometry Explorer by Michael Hvidsten, Geometry Explorer CD (included
with text)
LATEX: In this class, we will learn and use the mathematical typsetting program LATEX. LATEXis
the standard typsetting tool of mathematicians all over the world. Whether you will be teaching,
