# Graduate Undergraduate Learning Program (G.U.L.P)

### Description of program

During the spring quarter of 2012, the AWM began to administer the Graduate-Undergraduate Learning Program. This program pairs undergraduates with a graduate student mentor. Together, mentors and mentees explore a topic in mathematics of their choosing. Usually this involves reading and discussing a textbook or papers on the subject. At the end of the quarter, mentees present what they have learned for one another at an AWM-sponsored party.

By participating in this program, undergraduates are able to learn more about a topic of their choice, gain experience presenting mathematical ideas to their peers, and bond with a graduate student who has experience working as a mathematician. Students of all levels are encouraged to apply. Whether you are a calculus student hoping to see what advanced math is all about or a senior who wants to get some more background before heading off to graduate school, AWM wants to help you in your study of mathematics.

This program will run for the fourth time during the Winter quarter of 2015.

### Winter 2014 Topics

Several graduate students have already volunteered to be mentors in Winter 2014. The topics they have come up with are below. Undergraduates are encouraged to choose one of these or to suggest their own topics.

#### Ramsey Theory

__Minimal prerequisites:__ Some proof-based classes and enthusiasm.

__Preferred prerequisites:__ A course in combinatorics/discrete math/graph theory.

#### Knots

__Minimal prerequisites:__ Math 20F

__Preferred prerequisites:__ Math 109

#### Mathematics and the Stock Market: A Love Story

__Minimal prerequisites:__ No formal prerequisites beyond calculus and a preparedness for mathematical reasoning.

__Preferred prerequisites:__ A willingness to combat one's most basic assumptions.

#### A Ballet of Mathematics, Physics and Reality

__Minimal prerequisites:__ No formal prerequisites beyond calculus and a preparedness for mathematical reasoning.

__Preferred prerequisites:__ A willingness to combat one's most basic assumptions.

#### Concrete Mathematics

__Minimal prerequisites:__ None

__Preferred prerequisites:__ Math 109 and 184

#### Godel, Escher, Bach

__Minimal prerequisites:__ An interest in thinking about math philosophically.

__Preferred prerequisites:__ Comfort with different proof techniques.

#### Cryptography

__Minimal prerequisites:__ Algebra or Number Theory (Math 100, 103 or 104)

__Preferred prerequisites:__ Math 109 and some discrete math or computer science experience.

#### Combinatorics

__Minimal prerequisites:__ A basic understanding of functions and sets.

__Preferred prerequisites:__ Some background in combinatorics.

### Older Topics

### Application

**Applications for the GULP program to start in Winter 2015 are now closed.**