Budapest Semesters in Mathematics
Academic Program
Fall 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 September 5th  (Friday) 3 PM

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

and to the

welcome party

at  4:00 PM, Room 111

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

Courses  will  start in the  same building  on February 10 (Monday) morning.  The schedule of classes will be distributed
later, via the Internet the first week of September and printed version on or just before the orientation session.

 Opening Program

September 5 (Fr)       3:00 PM     Orientation session, Room 102, Bethlen Gábor tér 2.
September 5 (Fr)       4:00 PM     Welcome Party, Room 111, Bethlen Gábor tér 2.
September 8 (Mo)    10:15 AM    classes begin, 2nd floor, Bethlen Gábor tér 2.

 Academic Calendar

First day of classes                    September 8 (Mo)
Registration deadline                 September 26 (Fr)
Last day of classes                     December 12 (Fr)
Final exams                                December 15--17 (Mo--We)
Transcripts (drafts) handed out  December 18 (Th)
Official holidays (no classes):   October 23 (Th),  Note that October 24(Fr) will be also free, the classes of that Friday will be given on October 18th (Sa)
Thanksgiving Day (no classes):  November 27 (Th)  NOTE: the Friday following that, November 28th is an official BSM working day.

Course Offerings
Budapest Semesters in Mathematics
Fall 2003

This semester initially we offer 22 core math courses, (further may be offered upon request) a history course, Hungarian language courses (one elementary and several intermediate levels), a course on Hungarian culture, and two other non-math courses, a sciencer history and a philisophy course. At this moment, there are four intermediate Hungarian language courses in the offer (with different emphasis) but most probably -- depending on the number of students -- there will be 2 or 3 finally given. Please consult the syllabi to choose the right one for your self, we'll discuss the details on the orientation session.

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 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 (ALG2, COM2, FUN, GRT, 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 favorites.

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 events are (almost) always scheduled Thursdays 4.p.m.


The semester starts with a trial period of three weeks (September 8-26),  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 15 we might split them in two, in both cases the classes having the same or very similar syllabi, 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 five 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

ALG1 Introduction to Abstract Algebra    Dr. László HÉTHELYI
ALG2 Advanced Abstract Algebra           Dr. Péter HERMANN
ANT Topics in Analysis                           Dr. András STIPSICZ
BAG Basic Algebraic Geometry              Dr. Tamás SZAMUELY
CLX Complex Functions                          Dr. Károly BÖRÖCZKY
COM1A  Combinatorics 1                       Dr. Dezsõ  MIKLÓS
COM1B  Combinatorics 1                       Dr. Attila SALI
COM2 Combinatorics 2                           Dr. Ervin GYÕRI
C&P Conjecture and Proof                       Dr. György ELEKES
DEQ Ordinary Differential Equations    Dr. Péter SIMON
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
GRT Graph Theory                                  Dr. Miklós RUSZINKÓ
LOG Mathematical Logic                        Dr. Péter KOMJÁTH
NUT1 Number Theory 1                          Dr. Csaba SZABÓ
NUT2 Topics in Number Theory             Dr. Antal BALOG
PRO Probability Theory                          Dr. Tamás SZABADOS
RFM Real Functions and Measures         Dr. Tamás KELETI
SET Set Theory                                       Dr. Miklós ERDÉLYI SZABÓ
THC Theory of Computing                      Dr. Gyula Y. KATONA
TOP  Introduction to Topology                Dr. László FEHÉR

HST The Making of Modern Central Europe                   Dr. Andrea PETÕ
HUN1 Beginner Hungarian Language                              Ádám SZEKFÛ
HUN2A Intermediate Hungarian Language                      Ádám SZEKFÛ
HUN2B Intermediate Hungarian Language                      Dr. Erika FALLIER
HUN2C Intermediate Hungarian Language                      Dr. Erika FALLIER
HUN2D Intermediate Hungarian Language                      Ádám SZEKFÛ
HUC Hungarian Art and Culture                                      Dr. Márta SIKLÓS
HAM Historical Aspects of Mathematics                        Dr.András RINGLER
PHIL Old World and New World Political Philosophy   Dr. János SALAMON