BME MATHEMATICAL CONTEST
Time: 29 April 2019 (Monday) 10:15 – 14:00
Place: BME, building “Q”, lecture hall Q-I
Department of analysis
HEAD OF ORGANIZING COMITTEE
HISTORY AND DESCRIPTION
This mathematical competition has been held since the 1960s (annually). Originally organized solely for Electrical Engineering majors, following the founding of the Faculty of Natural Sciences (in 1996) students of physics and mathematics, and later all students of BME were invited to participate. Since 2016, foreign students (e.g. the ones staying at BME with an ERASMUS grant) are also welcome; problem sheets are available both in Hungarian and in English.
To participate in the competition, no application process is required. The duration is 4 hours and the problem sheet usually contains 10 problems. Solutions are expected in a written format. Each good solution is worth 10 points; partial solutions are also taken into account (worth fewer points) and important generalisations and second solutions to the same problem may actually result in extra credit (i.e. a total of more than 10 points).
The competition aims to value creativity and the mathematical way of arguing. Usually students with 4 good solutions already receive a first prize. The total number of problems is high (10) only to allow the participants to choose the ones closer to their fields of interest. Therefore, the problem sheet is intentionally “colorful”: it contains a good mixture of questions regarding all sorts of different areas like analysis, algebra, geometry, number theory, combinatorics and probability theory.
CATEGORIES AND PRIZES
According to their faculty and whether they are first year or higher year students, the participants compete in different categories. (So for example an architecture student and a math student will not be rivals.) As the problem set is common for all, the point limits of prizes (first, second and third; awards with money) and honorable mentions (awards with no money) will be different in each category. Nevertheless, the limits are usually set according to the following system:
- I. prize (30 000 HUF): from about 4 good solutions
- II. prize (25 000 HUF): from about 3 good solutions
- III. prize (20 000 HUF): from about 2 good solutions
- honorable mentions: from about 1 good solutions
Every aid is allowed to be used during the competition (e.g. books, lecture notes and calculators), with the exception of devices capable of internet or telephone connection.