Mathematics Competitions

Mathematics Competitions

Basic Information

M103 (0+3+0) - 4 ECTS credits

Prepare students for participation at various mathematical competitions. Except establishing basic knowledge obtained from courses  at undergraduate university study programme in mathematics, lectures will provide a lot of new techniques and ideas for solving challenging mathematical problems. Students will be teached to analyze and solve difficult problems which tipically appear at mathematical competitions for university students.  Other aims: encourage students for individual work, develope competitive spirit and spread math culture.

You can access the course content at the following link: PDF

Teachers

Basic literature

  1. M. Becheanu, International Mathematical Olympiads 1959-2000. Problems. Solutions. Results, Academic Distribution Center, Freeland, USA, 2001.
  2. L. Fehér, G.Kós, A. Tóth, Mathematical Analysis-Problems and Exercises II, Eötvös Loránd University, Faculty of Sciences, Typotex 2014.
  3. A.S. Posamentier, C.T. Salkind, Challenging Problems in Algebra, Dover Books in Mathematics, 1996.
  4. C.J. Bradley, Challenges in Geometry: for Mathematical Olympians Past and Present, Oxford University Press, 2005.
  5. I.Tomescu, R.A. Melter, Problems in Combinatorics and Graph Theory, John Wiley and Sons, 1985.
  6. M.Th. Rassias, Problem-Solving and Selected Topics in Number Theory : In the Spirit of the Mathematical Olympiads Foreword by Preda Mihailescu, Springer, New York, 2011.

 

Additional literature

  1. G. Polya, How to Solve It: A New Aspect of Mathematical Method, Princeton University Press, 2014.
  2. A. Engel, Problem Solving Strategies, Springer-Verlag, 1999.
  3. W Rudin, Principles of Mathematical Analysis, Third Edition, McGraw-Hill Inc., 1976.

Teaching materials

The materials are available on the internal Teams channel of the course, through which all internal communication takes place. Students are required to register on the course’s Teams channel. The channel code for joining the course can be found in the schedule.