Education |

Currently, the Bolyai Institute is undergoing major changes in the
educational system: the former 10 semester programmes are gradually
replaced by the 3-level system of the Bologna Process. As a first step
in this direction, the Mathematics Bachelor programme was started in
the Bolyai Institute in September 2006.Study programmes in the Bologna SystemBachelor of Mathematics:
The purpose of this 6 semester programme is to give a firm background
in the mathematical sciences with special emphasis on areas necessary
to pursue studies in applied mathematics and the teaching of
mathematics. Students completing the programme receive a Bachelor
degree in Mathematics. Traditionally, a mathematics degree is valued
highly by a large variety of employers and thus its holder has a good
chance of finding employment soon after graduation. Those who wish to
study further may enter a Master’s programme or enroll in a special
training programme in banking, finance, accounting or small business
management. After the first 2
semesters of the Bachelor programme, students may choose from three
specializations: Pure Mathematics, Applied Mathematics and Teaching of
Mathematics. These special directions of study prepare students for the
entrance to the Mathematics MSc programmes. Choosing a specialization
is not compulsory, however, it increases the chance of admittance to
the Master programme. To help gifted students, some of the Bachelor
programme courses are also available at the honours level. Master Programmes in Mathematics:
The Bolyai Institute is currently planning to start three Master
programmes from September 2009: Applied Mathematics, Pure Mathematics
and High School Teacher of Mathematics. These programmes will give a
degree equivalent to the former 10 semester programmes continuing the
long tradition of high quality instruction of advanced mathematics in
the Bolyai Institute. Study programmes in the 10 semester systemThe former 10 semester programmes currently co-exist with the Mathematics Bachelor programme; they are being phased out gradually. High School Teacher of Mathematics:
The purpose of this 10 semester progamme is to train mathematics
teachers who are well-prepared to explain and demonstrate the basic
mathematical ideas and laws that appear in nature, engeneering, and
society. Furthermore, they acquire a solid high quality knowledge of
mathematics, and undergo a comprehensive theoretical and practical
training in the teaching of mathematics. Mathematics major:
The purpose of this 10 semester programme is to train mathematicians
who, on the one hand posess high quality theoretical knowledge of
mathematics and thus are capable of working in the mathematical
sciences, on the other hand are able to apply their knowledge in
engineering, business, and statistics. Applied Mathematics major:
The purpose of this 10 semester programme is to train applied
mathematicians who are capable of working efficiently in industry or in
an interdisciplinary environment. During this program students gather
knowledge in engineering mathematics, business, economics and in
operations research. They become well-acquainted with the applications
of modern mathematical methods and learn to recognize new problems in
their fields of work. Furthermore, they become proficient in using
computers, and learn to collaborate with engineers, economists, and
scientists in solving economical and engineering problems. Doctoral Programme in Mathematics:
The doctoral (PhD) programme was started in 1993 at the Bolyai
Institute among the first ones in Hungary. The purpose of this
programme is to provide students deep and up-to-date knowledge of a
mathematical discipline and enable them to pursue independent research
in the mathematical sciences. The programme is based on a three year
study period when students are required both to take advanced level
graduate courses in mathematics and pursue research in their chosen
special area. Doctoral students may choose from four major directions
of study: Algebra, Analysis, Dinamical Systems and Stochastics, and
Geometry and Combinatorics. At the end of the programme, students are
required to take a final oral examination and write and defend a
doctoral dissertation which contains original research. ## Research Topics in The Bolyai InstituteDepartment of Algebra:Universal algebra (Béla Csákány, Lajos Klukovits, László Szabó, Ágnes Szendrei), lattice theory (Gábor Czédli), theory of semigroups (Mária Szendrei, László Megyesi), theory of ordered sets (László Zádori), history of mathematics (Lajos Klukovits) Department of Analysis:Fourier analysis, orthogonal series, inequalities, approximation theory (László Leindler, József Németh, Zoltán Németh), functional analysis, linear operators in Hilbert spaces (László Kérchy), qualitative theory and applications of ordinary and functional differential equations, stability, oscillation, periodicity (László Hatvani, Géza Makay, József Terjéki, Mária Bartha, Róbert Vajda), Navier-Stokes equations (Mónika Van Leeuwen-Pollner), modern methods of the teaching of mathematics (József Kosztolányi, Zoltán Kovács) Department of Geometry:Harmonic analysis (Árpád Kurusa, Tibor Ódor), integral geometry (Árpád Kurusa), convex geometry (Ferenc Fodor, János Kincses, Tibor Ódor), discrete, combinatorial and computational geometry (János Kincses, Ferenc Fodor), polytopes (Gábor Gévay), finite geometries, nets (Gábor Nagy, György Kiss) Department of Numerical and Applied Mathematics:approximation theory, orthogonal polynomials and orthogonal systems of functions, special functions (Ferenc Móricz), complex analysis, Banach spaces, Jordan theory, numerical methods in quantum chemistry (László Stachó), infinite dimensional dynamical systems generated by functional differential equations, periodicity, bifurcation (Tibor Krisztin) Department of Set Theory and Logic:Combinatorics (Péter Hajnal, János Barát), complexity theory (Péter Hajnal), approximation theory, potential theory, harmonic analysis, orthogonal polynomials (Vilmos Totik), ergodic theory, fractals (László Szabó), history of mathematics (Antal Varga) Department of Stochastics:Asymptotic distributions in probability and statistics (Sándor Csörgő, László Viharos), ergodic theory, statistical physics (András Krámli), boundary value problems of partial differential equations (Jenő Hegedűs) |