Budapest Semesters in Mathematics
Academic Program
Spring 2003

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 February 7th  (Friday) 3 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 February 10 (Monday) morning.  The schedule of classes will be distributed

 Opening Program

February 7 (Fr)      &   3:00 PM & Orientation session, Room 102, Bethlen Gábor tér 2.
February 7 (Fr)      &   4:00 PM & Welcome Party, Room 111, Bethlen G\'abor t\'er 2.\cr \vskip .5cm \+
February 10 (Mo)  & 10:15 AM & classes begin, 2nd floor, Bethlen Gábor tér 2.

 Academic Calendar

First day of classes                    February 10 (Mo)
Registration deadline                 February 28 (Fr)
Last day of classes                    May 23 (Fr)
Final exams                               May 26--28 (Mo--We)
Transcripts (drafts) handed out  May 29 (Th)
Official holidays (no classes):     May 1st (Th),  Please note that May 2(Fr) will be also free, the classes of that Friday will be given on April 26th (Sa)
Spring break (no classes):         April 14-21 (Mo- Mo), Including Easter Monday, April 21st

Course Offerings
Budapest Semesters in Mathematics
Spring 2003

This semester initially we offer 19 core math courses, (further may be offered upon request) a history course, Hungarian language courses (at several different levels), a course on Hungarian culture, and two other non-math course upon request. Please note that introductory Abstract Algebra, AL1 is added to the original list communicated by e-mail due to multiple request of the students. Let me repeat as well, that other courses (like Algebraic Topology),  upon multiple request, may be introduce later. At this moment, there are two intermediate Hungarian language courses offered (with different emphasis). Please consult the syllabi to choose the right one for your self.

We also mention here that there are courses given by the Budapest branch of the McDaniel College (earlier known as Western Maryland College) which 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 (February 10-28),  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 (in case of AL1 having 5 or less students it will be continued in some form since some of you need that credit due to graduation requirements). On the other hand, if the classes Number theory 1 or Combinatorics 1 will have their total student number much above 15 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
ALG Basic Algebraic Geometry   Dr. Tamás SZAMUELY
ALT Algebraic Topology      Dr. Károly BÖRÖCZKY
ANT Topics in Analysis        Dr. András STIPSICZ
CLX Complex Analysis         Dr. Dénes PETZ
CO1  Combinatorics 1          Dr. Dezsõ  MIKLÓS
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         Dr. Csaba SZABÓ
NUT Topics in Number Theory  Dr. Antal BALOG
PRO Probability Theory       Dr. Tamás SZABADOS
RFM Real Functions and Measures  Dr. Péter SIMON
SET Set Theory                   Dr. Miklós ERDÉLYI SZABÓ
THC Theory of Computing    Dr. Attila SALI
TOP  Introduction to Topology  Dr. László FEHÉR

HIS The Making of Modern Central Europe                   Dr. Andrea PETÕ
HL1 Beginner Hungarian Language                                 András SZEKFÛ
HL2A Intermediate Hungarian Language                         András SZEKFÛ
HL2B Intermediate Hungarian Language                         Dr. Erika FALLIER
HL3 Hungarian language - individualised  studies             Dr. Erika FALLIER
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