Euclidean and Non-Euclidean Geometry

Bob Matthews

Department of Mathematics and Computer Science

January, 2006

Document changes:


Weekly reading and lecture schedule

Exam Reviews



Some comments on the course:

A course in Euclidean and non-Euclidean geometries serves several purposes in the undergraduate mathematics curriculum. For prospective teachers, it is a course required by most states for teacher certification. For many, it is the first course that involves rigorous proof. For students interested in the philosophy and history of mathematics, it provides an important example of how mathematics works, how one does mathematics, how mathematics has developed over time (together with false starts and wonderful surprises), and gives insight into what are commonly called 'foundational issues' (What are the role of axioms?  What is the nature of proof? What is the nature of mathematical truth? What, if anything, does this all mean? What is the geometry of the space around us?).

We will approach all of these issues in the course of this term. We will study geometry by doing it. From the practical point of view, this means that we will spend time learning how to prove things and how to present results both orally and in writing. Along the way we will talk about and work with the process of discovery, the uncovering of assumptions, the rigorous presentation of results, and the logical and philosophical foundations of mathematics (and some of the issues surrounding those foundations).

So... expect

It will be a lot of  work, but it should also be a great deal of fun.

The last time I taught this class

Some Important Dates:

Please check the Master Calendar for important dates in the term (last day to add/drop, etc.).

Hour Exams will be held on the following dates:

The lecture schedule for this course can be found here

The final exam for this class will be at 8:00 AM Friday, May 12. It will be a comprehensive, two hour in-class examination.

Since this course includes students from both Math 300 and Honors 213, I have included links to both syllabi:


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