# Spring 2013 MATH 191 002 SEM

Section | Days/Time | Location | Instructor | CCN |
---|---|---|---|---|

002 SEM | TuTh 930-11A | 740 EVANS | LOTT, J W | 54285 |

Units/Credit | Final Exam Group | Enrollment |
---|---|---|

4 | NONE | Limit:17 Enrolled:12 Waitlist:0 Avail Seats:5 [on 06/26/13] |

**Prerequisites:** Math 53 and one more advanced mathematics course (or approval of instructor)

**Syllabus:**
Surfaces are the mathematical objects which describe many of the shapes we see
in everyday life, like a beach ball or the surface of a donut. Surfaces
can be visualized and described in several simple ways, yet they exhibit a
surprising amount of mathematical structure and continue to play a central role
in current areas of math and physics research. We will use surfaces to
introduce and study the connection between several subjects in modern
mathematics.

The lectures will follow the text book “Lectures on Surfaces: Almost Everything
You Wanted to Know About Them,” by A. Katok and V. Climenhaga. The goal
of the course, in addition to introducing students to concepts in modern
geometry, will be to give students the experience of doing research-style
mathematics. Students will work on somewhat open-ended problems in small
groups, culminating in a final project. In
addition to lecture, some class time will be used for “tutorial-style”
instruction, allowing groups to meet with the instructor to discuss the subject
of their projects.

Each student will have considerable latitude in finding problems that fit his or her interests. Students will work in small groups on these problems, with the majority of this work completed outside of class.

**Office:**

**Office Hours:**

**Required Text:**

**Recommended Reading:**

**Grading:** 50% final project, 20% short project, 20% homework, 10% class participation

**Homework:**

**Course Webpage:**