Geometry
Math 5335 Fall 2017
MW 12:20 PM-02:15pm, Vincent Hall 211
 Instructor: Jonathan Rogness Office: Vincent Hall 7 (soon!) Phone: 612-625-2861 Email: rogness@umn.edu (By far the best way to reach me!) Web Page: http://www.math.umn.edu/~rogness/ Course Page: http://www.math.umn.edu/~rogness/math5335/

The fastest, most reliable way to reach me is via email. Occasionally I get a deluge of email, but anything with "Math 5335" in the subject line will get tagged as a high priority message.

Please note: Looking for my office? It's complicated. For years my regular office has been in the Vincent 4 suite of MathCEP offices, although various department pages have said I'm in Vincent 431, an office I haven't used since 2007. This fall I am moving to Vincent 7, but that may not happen until the second week of class. So check Vincent 7 and, if I'm not there, you can stop by Vincent 4 and ask if I'm hanging around there.

 Course Description: The first part of the semester will use vector techniques in advanced study of Euclidean geometry in the plane, concentrating on figures such as polygons and circles. We will also study a special functions called isometries, and classify all possible isometries on the plane. The later part of the semester will focus on (1) showing that our vector techniques are consistent with the "regular" geometry one might find in a high school classroom, and (2) learning the basics of hyperbolic and elliptic geometry and how they compare to Euclidean geometry. During class you should expect a mixture of lecture and problems for you to work on with your fellow students.
 Prerequisites: [2243 or 2373 or 2573], & [2263 or 2374 or 2574]. Roughly this means a sophomore-level sequences in linear algebra and multivariable calculus. Between the two, linear algebra will be more important; we'll work with vectors throughout the course, and use linear transformations to classify isometries of the plane. I'll likely make use of multivariable optimization only once throughout the semester. However, comfort with two-dimensional coordinates and parametric curves will be important. The ability to read, write, and understand proofs is important for success in this course. If you haven't previously taken such a course, pay careful attention to comments on your homework, and make use of office hours to ask me questions.
 Textbook: Required: Math 5335 Geometry booklet for Fall 2017, Fristedt & Baxter. Available at Alpha Print (1407 Fourth Street SE) in Dinkytown for a \$34. Ask for it by course number, or specify "Bin 4."