Summary: Syllabus for Math 475, Fundamentals of Geometry, Fall 2008
Instructor: Dr. Elizabeth Arnold
Office: Roop 111
Office Hours: Tu,Th 10:45ampm-11:45am, W 12:00noon-1:00pm 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. Topics for this course will include axiomatic geometry, more Euclidean
geometry, analytic geometry, transformational geometry, non-Euclidean 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
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,