Comps for Mathematics or Statistics Majors

Math and Stats Comps are designed to assist students in completing the transition from classroom learning of our discipline to independent learning. There are two varieties of comps: independent comps and group comps. The department will make every effort to accommodate students’ preferences between these two options. Both options include a requirement that majors accumulate a total of eight talk-credits during the junior and senior years by attending the comps talks of their colleagues.

Majors are expected to do comps during the senior year. Students finishing the sophomore year may petition the department to be allowed to do comps during the junior year, but such petitions are granted only in very unusual circumstances. In particular, a desire to ease the workload of completing a double major is not a sufficient reason to grant such a petition. In the (rare) case that a junior is granted an early comps, senior math or stats majors will be given first priority in the choice of comps project.

Group Comps

The essence of group comps is a prolonged, shared experience of doing mathematics or statistics. The faculty takes a very broad view of what, exactly, this means. We intend to offer opportunities for students: to engage in original research; to apply mathematics or statistics in significant, real-world settings, typically with an industrial, governmental, or non-profit partner; to study original historical documents; and to engage in pedagogical research. Specific projects will vary from year to year with topics limited only by the imaginations of our faculty and students. Group comps typically run for at least two terms. The default expectation is that each project culminates in both a public presentation of the results and a paper/poster or some other final product submitted to the faculty.

Students typically work in groups of two to four supervised by a single faculty member. Students should expect regular group meetings with the advisor (once or twice weekly is typical), as well as other regular meetings with the group without the advisor, in addition to time spent working alone. Comps should be a top academic priority; faculty expect to see an intense commitment to the project from every student in the group. An individual may be awarded distinction in group comps for work exhibiting outstanding initiative and effort resulting in an exceptional level of some or all of the following: depth of understanding, creativity, synthesis, and effective communication.

Timetable

Each spring, faculty members present potential group projects to mathematics and statistics majors during their junior year, and the junior majors rank the projects they prefer. Faculty then assign students to projects, taking student preferences into account as much as possible.

Once underway, a typical two-term project will follow the timetable below; three-term projects require the obvious adjustments.

  • Term 1: Research, regular meetings, end-of-term evaluation
  • Term 2: Research, regular meetings (weeks 1-4)
  • Talk and paper preparation (weeks 5-7)
  • Public talk (week 7)
  • Final product due (Monday of week 8)

Evaluation

At the end of term one, to ensure adequate progress is being made by all, each student will complete a project evaluation including feedback on the work of all group members. At this point students not making adequate progress may be removed from a project and assigned, instead, an individual comps project.

At the end of the second term, your advisor may elect to conduct individual interviews to assess each comps student. The faculty advisor (and possibly other faculty) will determine a grade of pass or fail, and will make a recommendation on distinction to the department. (Note: Grades, including distinction, are assigned to each student, not each project.)

Junior and senior mathematics and statistics majors earn one talk-credit for attendance at an hour-long group comps project presentation.

Independent Comps

This comps experience is designed for students who prefer an individual library research project to a group project of faculty-supervised research. It is intended to be an exercise in independent learning of mathematics or statistics. It will be available to students in the class of 2021 in a one-term version and in a two-term version. It will only be available to students in the class of 2022 and beyond in a one-term version. Students choosing this option will specify the area of mathematics or statistics in which they wish to work. Faculty will provide the student with a packet of reading material to be mastered. That packet may contain, for example, a book chapter or one or more articles from The American Mathematical Monthly or The American Statistician.

In both the one-term version and the two-term version, students will give a thirty-minute public lecture and write an expository paper (typically fifteen to twenty pages long) on the content of their packet. A committee of two or three faculty members will conduct an oral examination of the student after the public lecture to assess the depth of understanding. Students should be prepared to do background reading to obtain complete understanding of the assigned material. The student will recruit two other volunteer mathematics or statistics majors to observe and critique a practice lecture in advance of the public lecture.

As in group comps, an individual may be awarded distinction in comps for work exhibiting outstanding initiative and effort, resulting in an exceptional level of some or all of the following: depth of understanding, creativity, synthesis, and effective communication.

Independent Comps Midpoint Check-in

Approximately midway through independent comps students will go through a check-in designed to keep them on track to successfully complete their project. For this check-in students will turn in the following materials on the Moodle site for independent comps.

  1. A 1-2 page preliminary outline of their comps paper, including details about what they have accomplished so far and what they would like to accomplish by the end of the project. 
  2. The first 4-5 preliminary slides for their comps presentation. These should include a title slide, a slide providing an outline of the final presentation, and 2-3 slides that provide motivation for and/or an introduction to the topic. 

Students will also get feedback from their peers by presenting their first 4-5 slides to their fellow independent comps math and stat majors. If no other students are completing independent comps on their schedule, they will recruit 1-2 other majors to give them feedback on their presentation.

Note that both items submitted are preliminary products: the final paper and presentation can be different from the materials students submit for the check-in.

One-Term Version

Students who elect this version will register for six credits of comps (Math 400) in either fall term or winter term. The one-term version is not available in spring term. For fall comps they will receive their packet a few weeks before the start of the term. For winter comps they will receive their packet at the end of fall term.

One-Term Version Timetable

  • Check-in materials are due by 5 pm on Friday of week 4.
  • Students present first 4-5 slides to their one-term comps peers during 6a on Friday of week 4.
  • Public talk during week 8.
  • Paper due by 5 pm on Monday of week 9.
  • Meeting with committee (weeks 9 and 10).

Two-Term Version

Students who elect this version will register for three credits of comps (Math 400) in each of the two consecutive terms: either fall and winter or winter and spring. For fall/winter comps they will receive their packet a few weeks before the start of the term. For winter/spring comps they will receive their packet at the end of fall term. This version is only available to students in the class of 2021.

Two-Term Version Timetable

  • Check-in materials are due by 5 pm on Friday of week 9 of term 1.
  • Students present their first 4-5 slides to their two-term comps peers during 6a on Friday of week 9 of term 1.
  • Public talk during week 8 of term 2.
  • Paper due by 5 pm on Monday of week 9 of term 2.
  • Meeting with committee (weeks 9 and 10) of term 2.

Junior and senior math-majors earn one-half of a talk-credit for attendance at a thirty-minute individual public comps talk.