- attending regularly and participating in class discussions,
- presenting solutions to homework problems at least five times during the semester (short oral presentations),
- participating in class discussions,
- taking the mathematics department assessment exam at the end of the semester, and
- completing both parts of major presentation.

- General. Every student prepares and delivers a 5 minute talk
*Why have I chosen Mathematical major, and what is it good for?* - Short specific mathematical presentations. Every student prepares and delivers a 10 minute talk on his/her beloved theorem.
- Short general mathematical presentations. Every student prepares and delivers a 10 minute talk on an area or a notion of contemporary mathematics on his/her choice. This may be, for example
- Differential geometry
- Algebraic geometry
- Algebraic topology
- Group theory
- Analytic number theory
- Algebraic number theory
- Cohomology theories
- Motives
- Elliptic curves
- Medium size mathematical presentations. Every student prepares and delivers a 20 minute talk which is supposed to be an expanded version of one of his/her previous short mathematical presentations.
- Finally, this same presentation is written up using LaTeX, and distributed in class by the student for peer discussions.
- Besides the above, there will be external presentations both mathematical and profession-related given by invited professionals.
- Assessment exam will be given towards the end of the semester as a small fraction of the classwork.
- Invited talks scheduled in the framework of the undegraduate colloquium:
- Tuesday, January 25. Frank Kutzschebauch, University of Bern, Switzerland, What is a Stein manifold?
- Tuesday, March 1. Holbrook, University of Guelph, Ontario, Canada, How should we formulate a two-variable Mean Value Theorem?
- Tuesday, March 14. Arleen Fujimoto-Ikuma, UH, Interview Session

**TeX**nicalities

There are many varieties of TeX. The preferred one for mathematics seems to be LaTeX, together with the AMS extensions -- AMS LaTeX. There are tons of manual and reference books on the web. I recommend to start with this one. You will probably want to load a version of TeX onto your personal computer:- TeX for the Macintosh
- I recommend gwTeX together with TeXshop -- start here
- TeX for Windows
- TeX for Unix/Linux
- If you use a Unix/Linux system, it is very likely that TeX is already installed. Try executing `which tex' or 'which latex' at the command line to check.
- If you setup your own Linux system, you probably know all about TeX already.