Math 300: Junior Colloquium
Spring 2019

Contact Info
Spring 2019

Office: Fowler 325

Office Hours:

Often in office:

Course Information


Course Goals

You can find a link to the syllabus here.


Week 1: Due Thursday, January 31

Week 2: Due Thursday, February 7

Week 3: Due Thursday, February 14

Week 4: Due Thursday February 21

Week 5: Due Thursday February 28

Week 6: Due Thursday March 7

Week 7: Due Thursday March 21

Week 8: Due Thursday March 28

Week 9: Due Thursday April 4

Week 10: Due Thursday April 11

Talks: April 18

Talks: April 25

Mathematical Communication

You may find the introduction to LaTeX I wrote elsewhere on this site helpful.

Summary Paper

Theorem Paper

Final Presentation

Comps Part 1

The math comprehensive exam will consist of five sections given on five separate days, spread throughout the semester. Each section will cover one of the five fundamental courses. Dates for these exams are:

Thursday, February 7: Calculus 1
Thursday, February 21: Calculus 2
Thursday, March 7: Multivariable Calculus
Thursday, March 28: Linear Algebra
Thursday, April 11: Discrete Mathematics

There is a study guide available here that tells you what topics we think are most important. You can also download a complete (if somewhat dated) list of topics for each course:

We have a number of practice exams from previous years available.

Future Opportunities

I encourage everyone to look for a job/internship/research opportunity this summer. This will improve your resume, and also give you a better idea what sorts of things you might want to do after you graduate. Many of these opportunities will pay you reasonably well.

Occidental Undergraduate Summer Research

Occidental has an undergraduate research program to sponsor you doing research with a professor. You would need to find a professor to mentor you; the program comes with a $4500 stipend and subsidized (but not free) summer housing. The deadline is February 9.

Other Research Opportunities.

The NSF REU program funds experiences where a group of undergraduates from different institutions gather and do research on a math topic for ten weeks over the summer; typically the students also receive a stipend of several thousand dollars.

A list of programs running this summer is available here. Deadlines are typically in February and March. (Most NSF programs are only available to US permanent residents).

There are also a number of summer programs listed at You can look around without making an account; the list of undergraduate programs seems to be here.


The AMS has an info page rounding up several summer internship opportunities.

The MAA also has a page of internship opportunities. It also has a roundup pages on careers here.

SIAM has a page on internships and careers.

I’ll try to add more resources as I find them.