**Meeting times:**- 10:00 - 10:50 MTThF Thompson 374
**Final Exam:****Math 300 has a final exam scheduled for Monday, May 12, 8:00 AM - 10:00 AM. It will be a two-hour, comprehensive exam having the weight of two hour exams. University regulations require that all students in this class take the final at this time.**- I
**nstructor:** - Bob Matthews (email matthews@ups.edu)
- Thompson 390E
- Extension 3561
**Office hours:**- 11:00 - 11:50 MTThF
- Or by appointment.

- If you catch me free at any time, please feel free to drop in. Messages sent via email are welcome, and can be used to ask a question or to set up an appointment.
**Textbook****Required: Greenberg, Marvin J**.:W.H. Freeman and Company, 2008. We will work our way through the first eight chapters of the textbook, and cover as much of chapter 10 as time permits.*Euclidean and Non-Euclidean Geometries***Required:**A straight-edge and compass (some inexpensive ones are available at the bookstore).**Other readings as assigned.**In addition to readings from the textbook (which will be our primary reference), we will, from time to time, leave the textbook to explore ideas and questions generated by the text using other sources.**A particularly useful resource**is The MacTutor History of Mathematics web page at the University of St. Andrews (Scotland).

**Prerequisites**: Math 181 or permission of the instructor.

- Three hour exams + a comprehensive final: (The final exam will have the weight of two hour exams).
- Written exercises will be given the weight of one hour exam. I will make assignments from the textbook on a routine basis, and will select problems from each assignment to grade. You may also be asked to present your work on the board. Last semester I tried assigning problems to small groups, and then asking each group to make a presentation in class. I plan to continue that this semester some time after the first several weeks. These assignments will be part of the homework score.

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 many 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 hidden assumptions, the rigorous presentation of results, and the logical and philosophical foundations of mathematics (and some of the issues surrounding those foundations).

So... expect

- Logic
- Foundational issues
- Proofs and methods of proofs
- Writing
- History
- Lots of geometry, and
- Philosophical issues

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 old exams
- Math 300 Syllabus
- Schedule of lectures and readings

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

Please note that the last day to withdraw with an automatic 'W' is Monday, March 3. The rules for withdrawing from a class have changed. Please review the revised policy on course withdrawals in the Student Handbook

Hour Exams will be held on the following dates:

- Exam 1:
**Friday, February 22** - Exam 2:
**Friday, March 28** - Exam 3:
**Friday, May 2**. Please note that this is during the last full week of classes.

**Math 300 has a final exam scheduled for Monday, May 12, 8:00 AM - 10:00 AM. It will be a two-hour, comprehensive exam having the weight of two
hour exams. University regulations require that all students in this
class take the final at this time**

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