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Master’s program in mathematics Eötvös University Budapest.

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1 Master’s program in mathematics Eötvös University Budapest

2 About Eötvös University Established in It is the oldest among still existing universities in Hungary. Number of students: appr It is the largest university in Hungary.

3 Structure of the university 8 faculties: Faculty of Education and Psychology Faculty of Humanities Faculty of Informatics Faculty of Law and Political Sciences Faculty of Primary and Pre-school Education Faculty of Science Faculty of Social Sciences Faculty of Special Education

4 Faculty buildings

5 University Library founded in 1561

6 Botanical Garden established in 1771

7 Nobel Prize laureates Fülöp Lénárd 1905 Physics György Békésy 1961 Medicine Albert Szentgyörgyi 1937 Medicine János Harsányi 1994 Economics György Hevesy 1943 Chemistry

8 Mathematical tradition Frigyes Riesz ( ) functional analysis Lipót Fejér ( ) Fourier-analysis John von Neumann ( ) mathematical foundations of quantum mechanics Pál Turán ( ) number theory and many others… Pál Erdős ( ) number theory, combinatorics…

9 Mathematical tradition 2 László Lovász combinatorics Wolf prize, Kyoto prize Endre Szemerédi combinatorics Abel prize and many others… László Babai combinatorics Gödel prize Miklós Laczkovich analysis Ostrowski prize

10 Mathematical tradition 3 IMO hall of fame (among the top 90) Studied at Eötvös Univ.Teaches at Eötvös Univ. József Pelikányesyes László Lovászyesyes Tamás Terpaiyesyes Béla András Ráczyes Imre Ruzsayes Gyula Lakosyesyes Géza Kósyesyes István Tomonyes Zoltán Gyenesyes Béla Bollobásyes

11 Mathematical tradition 4 YearRanking Number of participating universities Participation at the International Mathematics Competition for University Students

12 Mathematical tradition 5 Winners of major international prizes in 2012: Éva Tardos- Gödel prize (for outstanding papers in theoretical computer science) László Lovász, Balázs Szegedy- Fulkerson prize (for outstanding papers in discrete mathematics ) András Máthé- Banach prize (for a doctoral dissertation in mathematics) Endre Szemerédi-Abel prize (for outstanding scientific work in mathematics) Katalin Marton- Shannon award (for consistent and profound contributions to information theory)

13 Departments, research areas Department of Algebra and Number Theory Department of Analysis Department of Applied Analysis and Computational Mathematics Department of Computer Science Department of Geometry Department of Operations Research Department of Probability Theory and Statistics Mathematics Teaching and Education Centre

14 Master’s program in mathematics Usually 2 years 100 credits (courses) + 20 credits (thesis) Courses in: Algebra Analysis Discrete mathematics Geometry Number theory Operations research Stochastics On request, all courses are offered (also) in English.

15 Structure of the program 1.Basic courses (20 credits) 2.Core courses (30 credits in 4 subject areas) 3.Special courses (44 credits in 3 subject areas) 4.Free courses (6 credits) 5.Thesis (20 credits) Courses are offered in the form of lectures and problem sessions, sometimes as reading courses.

16 Titles of some recent MSc diploma works 1.Ranks on the Baire class α functions (real analysis) 2.Galois representations (algebra) 3.Symmetric submodular functions and their applications (combinatorial optimization) 4.Integral Geometric Formulae (geometry) 5.Classification of High-Dimensional Simply-Connected Manifolds (differential topology) 6.Elliptic curves (algebraic number theory) 7.Model Theoretic Spectrum Functions and Algebraic Logic (algebraic logic) 8.Integer Carathéodory property for the bases of a matroid (combinatorics) 9.Fractional order Sobolev spaces (functional analysis) 10.Routing Problems (operations research)

17 Summer school, June-July 2013

18 Application deadline: October 31 for beginning in February May 31 for beginning in September

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