Budapest Semesters in Mathematics
Academic Program
Fall 2002

We are happy to welcome you to Budapest Semesters in Mathematics.
On the following pages you find a lot of useful information, including the schedule of the coming days. Please study this
material carefully.


You are cordially invited to our

orientation session

held in our school building,

  on September 6 (Friday) 2:30 PM

street address: Bethlen Gábor tér 2, Room 102 (LOOK FOR THE SIGNS)

(Please note that your participation on the orientation session is very important)

and to the

welcome party

at  4:00 PM, Room 111

Courses  will  start in the  same building  on September 9 (Monday) morning.  The schedule of classes will be distributed

 Opening Program

September 6 (Fr)   &   2:30 PM & Orientation session, Room 102, Bethlen Gábor tér 2.
September 6 (Fr)   &   4:00 PM & Welcome Party, Room 111, Bethlen G\'abor t\'er 2.\cr \vskip .5cm \+
September 9 (Mo) & 10:15 AM & classes begin, 2nd floor, Bethlen Gábor tér 2.

 Academic Calendar

First day of classes                    September 9 (Mo)
Registration deadline                 September 27 (Fr)
Last day of classes                    December 13 (Fr)
Final exams                               December 16--18 (Mo--We)
Transcripts handed out              December 19 (Th)
Official holidays (no classes):     October 23 (We),  Nov 1 (Fr)
Thanksgiving Day (no classes):  November 28 (Th)

Course Offerings
Budapest Semesters in Mathematics
Fall 2002

This semester initially we offer 19 core math courses, (further may be offered upon request) a history course, Hungarian language courses (maybe at several different
levels), a course on Hungarian culture, and two other non-math course upon request. Please note that the number and scope of intermediate level Hungarian  anguage courses will depend on the number and interest of the students planning to take them.

We also mention here that there are courses given by the Budapest branch of the Western Maryland College with you may wish to attend (without credit). These courses are held in the same building where we have the BSM classes but we can not take care of the scheduling conflicts --- you will be able to audit these courses only if you do not have a BSM course at the same time. Again, usually these courses do not come with a BSM credit. In case you wish to attend any of them please contact Klára, Zsuzsa or Dezsõ Miklós, the Hungarian director of the program.

Most of the math courses are of introductory character with prerequisites not going beyond calculus or linear algebra, but some of them (AAL,  CO2, FUN, GTT, DIG, GEO and RFM) are somewhat more challenging and may require some experience in the field. Use the course outlines on the following pages to choose your

The courses will be scheduled later partly based upon your preregistration. If you wish to take any further math courses/topics, let us know that on the preregistration form and we will try to do our best to help you.

We plan a series of Colloquium Lectures on various branches of mathematics held by outstanding Hungarian mathematicians and some other related activities. Watch for announcements.  These event are always scheduled Thursdays 4.p.m.


The semester starts with a trial period of three weeks (September 9 -- 27),  when you can sit in as many classes as you wish. After this you must register for the courses you really want to study.

Any of the courses


will be cancelled after the trial period, if the number of registered students in the corresponding class fall below 6. On the other hand, if the classes Number theory 1 or Combinatorics 1 will have their total student number much above 12 we might split them in two, in both cases the classes having the same or very similar syllabus, but one with a little bit faster space.

(Please, realize your responsibility: dropping a class of 6 at a later time would cause serious difficulties for the remaining three students.)

The other courses may continue to work with 2--5 students in the form of a READING CLASS, where instructors meet students for 1--2 hours per week, and the major part of the material must be studied on an individual basis.

The elective courses -- other than the standard ones above -- can also be inserted in the program depending on students' demand. These additional courses may operate on ordinary or on reading basis.

List of courses and instructors

AL1 Abstract Algebra          Dr. László HÉTHELYI
AAL Advanced Algebra       Dr. Péter HERMANN
ANT Topics in Analysis        Dr. András STIPSICZ
CLX Complex Analysis        Dr. Dénes PETZ
CO1  Combinatorics 1 (in case of high number of students preregistering the class may be offered in two versions: a slower and a higher  pace version)
                                             Dr. Dezsõ  MIKLÓS    (and Dr Attila SALI)
CO2 Combinatorics 2           Dr. András GYÁRFÁS
C&P Conjecture and Proof   Dr. Zoltán FÜREDI
DIG Differential Geometry     Dr. Balázs CSIKÓS
FUN Functional Analysis       Dr. Gábor ELEK
GAL Galois Theory               Dr. Csaba SZABÓ
GEO Topics in Geometry      Dr. Gábor MOUSSONG
GTT Graph Theory               Dr. Ervin GYÕRI
NU1 Number Theory 1 (in case of high number of students preregistering the class may be offered in two versions: a slower and a higher  pace version)
                                            Dr. Csaba SZABÓ and  Dr. Antal BALOG
NUT Topics in Number Theory  Dr. Szilárd  RÉVÉSZ
PRO Probability Theory       Dr. Tamás SZABADOS
RFM Real Functions and Measures  Dr. Tamás KELETI
SET Set Theory                    Dr. Péter KOMJÁTH
THC Theory of Computing    Dr. Gábor TARDOS
TOP  Introduction to Topology  Dr. László FEHÉR

HIS The Making of Modern Central Europe                  Dr. Andrea PETÕ
HL1 Beginner Hungarian Language                                András SZEKFÛ
HL2 Intermediate Hungarian Language (different levels)  Dr. Erika FALLIER and  András SZEKFÛ
HUC Hungarian Art and Culture                                     Dr. Márta SIKLÓS
HAM Historical Aspects of Mathematics                        Dr.András RINGLER
OPH Old World and New World Political Philosophy    Dr. János SALAMON