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Master’s program in mathematics

Master’s program in mathematics. E ötvös Loránd University Budapest. About Eötvös Loránd University. E stablished in 1635. It is the oldest among still existing universities in Hungary. Number of students: appr . 30 000 It is the largest university in Hungary.

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Master’s program in mathematics

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  1. Master’s program in mathematics Eötvös Loránd University Budapest

  2. About Eötvös Loránd University Established in 1635. It is the oldest amongstill existing universities in Hungary. Number of students: appr. 30000 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. Facultybuildings

  5. University Libraryfounded in 1561

  6. BotanicalGardenestablished in 1771

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

  8. Mathematical tradition FrigyesRiesz (1880-1956) functionalanalysis Lipót Fejér (1880-1959) Fourier-analysis John von Neumann (1903-1957) mathematicalfoundations of quantummechanics Pál Turán (1910-1976) numbertheory and manyothers… Pál Erdős (1913-1996) numbertheory, combinatorics…

  9. Mathematicaltradition 2 László Lovász combinatorics Wolf prize, Kyoto prize Endre Szemerédi combinatorics Abel prize László Babai combinatorics Gödelprize Miklós Laczkovich analysis Ostrowskiprize and many others…

  10. Mathematicaltradition 3 • IMO hall of fame (amongthe top 90) • Studiedat Eötvös Univ. Teachesat Eötvös Univ. • József Pelikán yesyes • László Lovász yesyes • Tamás Terpaiyesyes • Béla András Rácz yes • Imre Ruzsa yes • Gyula Lakos yesyes • Géza Kós yesyes • István Tomon yes • Zoltán Gyenes yes • Béla Bollobásyes

  11. Mathematicaltradition 4 Participation at the International Mathematics Competitionfor University Students

  12. Mathematicaltradition5 • Winners of major international prizes • in 2012: • Éva Tardos - Gödelprize • (foroutstandingpapersintheoretical computer science) • László Lovász, Balázs Szegedy - Fulkersonprize • (foroutstandingpapersindiscrete mathematics) • András Máthé - Banachprize • (for a doctoral dissertation in mathematics) • Endre Szemerédi - Abel prize • (for outstanding scientific work in mathematics) • KatalinMarton - Shannonaward • (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 Onrequest, allcoursesareoffered (also) in English.

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

  16. Titles of somerecentMSc diploma works • Ranks on the Baire class α functions (realanalysis) • Galoisrepresentations (algebra) • Symmetric submodular functions and theirapplications (combinatorialoptimization) • IntegralGeometricFormulae (geometry) • Classification of High-Dimensional Simply-Connected Manifolds (differentialtopology) • Ellipticcurves (algebraicnumbertheory) • Model Theoretic Spectrum Functions and Algebraic Logic (algebraiclogic) • IntegerCarathéodory property for the bases of a matroid(combinatorics) • FractionalorderSobolevspaces (functionalanalysis) • RoutingProblems (operationsresearch)

  17. SummerschoolindiscretemathematicsJune2014 Registrationdeadline: June 15, 2014 Earlyregistrationdeadline: April 20, 2014

  18. Applicationdeadline: October 31 to begin in February May 31 to begin in September

  19. Next: Abstract algebra ineverydayuse Key ingredients: ÉvaristeGalois (1811 – 1832) Péter Pál Pálfy The Hungarian team atthe IMO 1973 inMoscow ?? ?

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