MATH 7210 Foundations of Geometry II
J. Wilson, Instructor, Spring 2009


Modified January 14, 2009
Course: MATH 7210 Foundations of Geometry II

Instructor: James W. Wilson
110F Aderhold Hall

Office hours: I maintain an open door policy for office hours. I come to the office early each morning and if I am not tied up in a meeting or talking to another student I am available to you.

Course Descriptions (From UGa Bulletin):

MATH 7200: Advanced Elementary Geometry for prospective teachers of secondary school mathematics: Axiom systems and models; the parallel postulate; neutral, Euclidean, and non-Euclidean geometries.

MATH 7210: Further development of the axioms and models for Euclidean and non-Euclidean geometry; transformation geometry.


Prerequisite for MATH 7210: MATH 7200.
Prerequisites for MATH 7200: MATH 3000 (Linear Algebra) and MATH 7200 (Intro to Higher Mathematics). If you do not have these prerequisites, please talk with me. Since differential and inferential calculus are prerequisites for MATH 3000, it is assumed that MATH 7200 students will have calculus background.



A class Listserv has been created for this class. The parameters are set so that only members of the class (and the instructor and the TA) can receive or send to the listserv. To send a message to the whole class, click

To send an e-mail to an individual class member use their e-mail. An e-mail intended only for the instructor should be sent to


Libeskind, Shlomo (2008). Euclidean and Transformational Geometry: A Deductive Inquiry. Sudbury, MA: Jones and Bartlett Publishers.


Dr. Libeskind is a faculty member at the University of Oregon. The book is first edition, 2008, and is based on materials Dr. Libeskind has used in a two semester study of geometry with prospective teachers. You will find on page ix of the preface that I am acknowledged as a reviewer of the manuscript. I was impressed with the manuscript, in particular that it included many geometry problems and explorations that I have on my EMAT 6600 Problem Solving web site.

Time: Wednesday, 4:40 - 7:40

Place: Rm 111/113 Aderhold Hall. Geometer's Sketchpad will be used extensively

Course outline

The Course outline will be built around Problem Solving and Exploration with geometry topics and will follow the development of Lebeskind with the following topics

MATH 7200

Basic Notions (Appendix)

Congruence, Constructions and the Parallel Postulate


Area and the Pythagorean Theorem

MATH 7210


Isometries and Size Transformations

Composition of Transformations

Other topics

Hyperbolic Geometry

Elliptic Geometry

Taxicab Geometry

Geometry of Inversion


The following software will be used:

1. Geometer's Sketchpad 4.06

2. Graphing Calculator 3.5

3. Excel

4. Microsoft Word

    5. Firefox 2.x

    6. Web construction and web editing tools if needed.

    7. FTP tools if needed

Projects/Course Requirements.


UGA Academic Honesty Policy

The University of Georgia seeks to promote and ensure academic honesty and personal integrity among students and other members of the University Community. A policy on academic honesty has been developed to serve these goals. All members of the academic community are responsible for knowing the policy and procedures on academic honesty.

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