Math 480(O), Senior Seminar
Instructor: Pavel Guerzhoy
The class meets Tuesdays and Thursdays, 1:30 - 2:20pm at 401, Keller Hall.
Office: 501, Keller Hall (5-th floor)
e-mail: pavel(at)math(dot)hawaii(dot)edu (usually, I respond to e-mail messages within a day)
Office hours: Tuesdays and Thursdays 12:00-1pm and 3:00-4:00pm
The Department of Mathematics has a general expectations statement, which we are assumed to follow in this class.
This is a class directed to Math majors who are close to their graduation. The primary goal of the class is to develop mathematics presentation skills of the students. This includes both oral presentation and using LaTeX, the latter being a standard contemporary way to write both texts and short presentations in mathematics.
The class is designated to have an oral focus. As a consequence, various types of oral mathematical presentations is a subject of emphasis.
Math 480 is offered only as a CR/NC class. Students cannot pass the class without completing the following to the satisfaction of the instructor:
- 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.
In this class, we focus on presentations . There are, of course, various types of presentations.
- 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
See for more ideas
- Differential geometry
- Algebraic geometry
- Algebraic topology
- Group theory
- Analytic number theory
- Algebraic number theory
- Cohomology theories
- 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
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.
will probably want to load a version of TeX onto your personal computer:
- TeX for the Macintosh
- I recommend gwTeX together with TeXshop --
- TeX for Windows
- I do not know anything about TeX and Windows. Asking
around, I recommend
- 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.