Math 445/487 Winter 2005

Math 444 meets MWF 10:30-11:20 in MGH 287
Math 487 meets W 2:30-4:20 in CMU B027 (some options will be available for those with schedule conflicts)

Course Home Page: www.math.washington.edu/~king/coursedir/m445w05/

Instructor: James King (Email: king@math.washington.edu),

Office: PDL C440

Office Hours: Monday 1:30-2:30 and by appointment

Home Page: www.math.washington.edu/~king

Teaching Assistant: Zachary Treisman (Email: treisman@math.washington.edu)

Office: Padelford C-8H

Office Hours: Tuesday 10-12

Home Page: www.math.washington.edu/~treisman

Content of the Course

The course will include a number of topics, with the general theme of taking geometrical concepts on the plane from 444 and moving to other spaces. Also, algebraic tools will play a bigger role.

· Coordinates and affine geometry

· Conic Sections

· Perspective drawing and projective geometry

· Circle geometry and inversion

· Spherical Geometry

· More 3D geometry – symmetry in space

· Hyperbolic non-Euclidean Geometry

Structure of the Course

The work of the course will consist of reading, constructions, problem solving, and lab work with Sketchpad. Students will also work on a project that incorporates math, explaining and presenting. Assessment will be based on

· Tests (Midterm, Final and about two major quizzes, plus short quizlets)

· Homework - Regular homework about once a week.

· Construction Portfolio

· Project

· Class participation

Texts and Resources

The course will rely on a variety of sources.

· Textbooks from 444 (Berele-Goldman, and GSP book)

· Course Packets

· Web sources

· UW Library sources

The course web page and email list are an important part of the course. Most material can be accessed from the web page.