## Course Goals

- To prepare you for Part 1 of the Comprehensive Exam by helping you to review and develop mastery of the five fundamental courses of the math major: Differential and Integral Calculus, Multivariable Calculus, Discrete Mathematics, and Linear Algebra.
- To help you develop your abilities to communicate your ideas, especially your mathematical and technical ideas, through writing and through speech.
- To help you become informed about the range of opportunities available to you as math majors, both over the next year and after you graduate.

You can find a link to the syllabus here.

## Assignments

#### Week 1: Due Thursday, January 31

- Complete a practice Calc 1 section of the comps exam.
- Use $\LaTeX$ to typeset your answers for the Calc 1 exam; you should include a
`\maketitle`

command that gives a title and your name and the date. - Fill out this short survey on how comfortable you feel with each topic on the comps study guide. Use 1 for topics you don’t remember at all, and 5 for topics you feel completely comfortable with. (Please try to complete this by Saturday).

## Comps Part 1

Part 1 of the Comprehensive Exam will be held TBD

The exam covers the required topics from the five fundamental courses. You can download the topics lists from Occidental’s website. There is a study guide available here.

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

- 2004 and 2005
- Calculus 1 solutions
- Calculus 2 solutions
- Linear Solutions
- Multivariable Solutions
- Discrete solutions

- 2006
- 2008

## Mathematical Communication

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

## 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.

#### National Science Foundation Research Experience for Undergraduates.

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).

#### Internships

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.