An exciting DRP topic is something that is not covered in a typical undergraduate class. This topic should be chosen by the student with guidance from the mentor. Students may have a broad idea of what they are interested in, and mentors can help narrow things down to what might be feasible to learn in a quarter.
The possible range of projects is completely open and depends on the mutual interests and backgrounds of the mentor and mentee. It is encouraged that a student is taking or has already taken MATH 100. Other than topics from pure mathematics, there is also the possibility of applied mathematics, statistics, mathematics education or history of mathematics projects.
Please take a look at Past Topics as a source of inspiration.
Students are expected to meet with their mentors once per week for about an hour. Between meetings, they should spend 4-5 hours on DRP-related work, although their schoolwork should be a priority. They should let their mentor know if a week gets too busy. At the end of the quarter, they are expected to present their work at the DRP Colloquium, which currently takes the form of a poster, while in the past, it took the form of a 10-minute lightning talk.
Once students begin a quarter of DRP, they agree to commit to participating in the program for the entire quarter. Students who cease participating without notification or communication with their mentor will not be considered for the program again.
Mentors are expected to meet with their students once per week for about an hour and are required to attend the end-of-quarter DRP Colloquium.
It’s important to inform the DRP organizers as soon as possible about any issues that may arise. These issues might include a student repeatedly not preparing for meetings or deciding to leave the program. If a student misses two meetings in a row without forewarning, please email the DRP organizers. The organizers will attempt to mediate.
Mentors are encouraged to introduce and help their students practice LaTeX. This includes introducing them to Beamer (Poster), which will be useful for their presentation in the DRP Colloquium.
At the end of the quarter, each student present a poster about something they learned. In service of the audience, it’s best to use a single topic to highlight and illustrate (literally or figuratively).
One of the goals of DRP is for students to practice communicating mathematics, so the poster presentations are just as important as the math they learn. Students are encouraged to practice presenting their posters to their mentors.
Mentors are encouraged to help their students build their posters, especially by introducing them to LaTeX and Beamer Poster. There will be a mid-quarter social event that includes a short workshop on Beamer Poster to help both the students and their mentors get started. A template can be found here.
The poster presentation will be held during the last week of classes. We have the funding to print out students' posters.
At the end of the quarter, each student will give a 15-minute talk about something they learned. The talk does not need to (and indeed should not) cover everything the student learned during that time. For the sake of time and in service of the audience, it’s best to do an overview with worked examples, or pick one thing to describe in detail, such as the proof of some theorem.
One of the goals of DRP is for students to get practice communicating mathematics, so the talks are just as important as the math that they learn. Students are encouraged to give practice talks to their mentors.
Mentors are encouraged to help their students build their talk, for example, by introducing them to Beamer. There will be a mid-quarter social event which will also include a workshop on Beamer to help both the students and their mentors get started. A Beamer template can be found here.
The talks will be held either during the last week of classes.
We recommend the undergraduate students to be as honest as possible on what they know and don't know. This will only help the student. It is natural to be confused and not understand something quickly; math is hard! A good exercise for the pair will be to work out examples together, it's the most efficient way to gauge understanding of the material and also the most efficient way to understand the material itself.
We recommend that the graduate mentors talk to their student about the tension between abstract intuition and concrete skills in math. Having a level of comfort with abstract things is important so that one is not always bogged down in the details — math is often about seeing the big picture. However, if all one sees is the big picture, one likely does not really understand what’s going on and how things work. That’s why one must get one's hands dirty by working out specific examples and details.