This course is designed in the style of
the Hungarian "TDK" system, allowing advanced undergraduates to
become acquainted with research methods in detail and
acquire additional knowledge beyond their obligatory curriculum.
(For a brief English description of the TDK system
see a relevant ELTE University
In this course, a student can choose from the topics/problems listed below and work with other students and the professor to solve the given problem. All work is summarized in a research paper, ideally, however that is not expected given the time constraints. In addition, during the semester there will be an opportunity to present your work as well.
Participating in the research course may contribute to the successful beginning of a scientific career: depending on level, the results obtained can be presented at school, statewide or national undergraduate meetings ranging from a local Undergradute Seminar at your home school to MAA's MathFest. Papers may also be published in undergraduate research journals such as The Rose-Hulman Undergraduate Mathematics Journal, Involve and several others.
In some PhD programs, fruitful undergraduate reserach activity is a prerequisite for admission.
Student research is supervised by professors. Research topics are offered by them, but students can also propose topics of their own interest.
You can view articles that were written under the auspices of the BSM program
Description: Click here.
Prerequisites:We shall mostly use graph theoretic and combinatorial methods, so familiarity with the basics of graph theory is useful. Depending on the problems, in some cases geometric intuition is also useful, as well as familiarity with elementary linear algebra.
Qualifying problems:Solve at least four out of the five exercises at the end of this document.