# Spring 2012 MATH 191 001 SEM

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

001 SEM | TuTh 1230-2P | 891 EVANS | CRISTOFARO-GARDINE | 54367 |

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

4 | NONE | Limit:16 Enrolled:16 Waitlist:0 Avail Seats:0 [on 05/03/12] |

**Restrictions:** CURRENTLY FULL

**Note:** Also: HUTCHINGS, M

**Office:** 741 Evans

**Office Hours:** TBA

**Prerequisites:** Ability to write proofs and willingness to work on

open-ended problems a must. Math 55 required and at least one 100 level

math course strongly preferred.

**Syllabus:** Inspired by the knots that appear in daily life, knot theory is the

study of mathematical knots. Today, mathematical knots are of

fundamental importance to modern geometry and have found applications in

biology, chemistry, and physics as well. Moreover, easily stated open

questions about knots abound, and much of the theory can be explained at

an elementary level. As such, knot theory provides an ideal gateway

into mathematical research.

This class will take advantage of this to give students experience doing

research-type mathematics. Students will learn about knot theory and

then apply their knowledge to hard, open-ended problems. Many of the

problems will be very visual and hands-on in nature.

**Course Webpage:** To be announced.

**Grading:** One short and one long project. Weekly progress

reports, an in-class presentation, and a final write-up using LaTex will

be required for each project. Exercises will occasionally be assigned.

**Comments:** Each student will have considerable latitude in finding

problems that fit his or her interest. Students will work in small

groups on these problems, with the majority of this work completed

outside of class. Each group will be expected to discuss its progress

weekly during office hours.