Math 497 Math Topics for Teachers:

The Sphere and other non-Euclidean Geometries

Instructor

James King, C440 Padelford Hall, Tel. 206-543-1915

Email: king@math.washington.edu

Office Hours: Mondays, 1:30-2:20 and by appt. We can add a Thursday office hour, if it will be helpful for this class. Addition hour: ______________________

Required Text

Experiencing Geometry In Euclidean, Spherical, and Hyperbolic Spaces, 2nd Ed, by David Henderson, ISBN 0-13-030953-2

(Note: Alas, this is not the same as the first edition, Experiencing Geometry on Plane and Sphere. I regret the price of this book.)

Structure of the course.

In class each week

Since the time is so long, there will be a mixture of modes of instruction during each meeting. Some time will be spent in investigation in groups, some time in discussion, and some time with instructor explanation. Also, on occasion, we may adjourn to a computer lab to use some relevant software.

Assignments and tests

Individual homework problems will be assigned each week. Also problems will be discussed in small groups during class time. The Web will be used for class discussions. There will be some quizzes and tests. A paper or major problem portfolio on some special topic will be due at the end of the quarter. Since this is a three-credit course, a typical student should expect to work about six hours each week outside of class. A student with some weaknesses in math background may need to do more.

The Web and Email

Either Email or the Web will be used to submit some of the homework and also for class discussions during the week. This means that each student should expect to access the web at least a couple of times a week on days besides Thursday. However, it should not be necessary to come to campus for this, since web access is available at public libraries, etc.

Each student in the class should get a UW email account and UW NetID. You can still forward your email to your favorite email address, but you will need the NetID for discussions on the web. Details later.

Final Project

Each student will do a final project, consisting of a paper and a presentation. More details will be given later.

Note; For this project, and perhaps for some other work, it may be necessary to use the UW libraries or other on-campus resources, such as computer labs. It usually be possible to do this work on Thursdays, before or after class, if you are commuting to campus from a distance. However, this course is not a workshop, it is a UW course, so there is no guarantee that you will not have to make a few other trips to campus during the course of the quarter. All efforts will be made to minimize the inconvenience, but the demands of instruction will come before demands of convenience if necessary.