Advanced Mathematics Programme Profile

Educational Programme Advanced Mathematics
Degree Awarded Master in Advanced Mathematics (English)
Standard Length of Studies (Number of ECTS Credits) 2 years – 4 semesters – 120 ECTS
Type of Study Full-time
Higher Education Institution Babeş-Bolyai University Cluj-Napoca, Romania
Faculty / Department Faculty of Mathematics and Computer Science
Contact Person Professor Adrian Petrușel
Phone 0264-405300
Fax 0264-591906
Profile of the Degree Programme Mathematics
Target Group / Addressees Graduates in Mathematics, Informatics, Physics, Chemistry, Biology, Economics and Engineering.
Entrance Conditions Graduate student recruitment is achieved by competition. The overall three/four-year undergraduate average grade and a personal portfolio, for candidates with a Bachelor Degree in Mathematics, Computer Science, Computer Mathematics, Physics Mathematics or Economical Computer Science and respectively the grade of a written test (see the curricula here) and a personal portfolio, for candidates outside the above mentioned areas.
Further Education Possibilities Doctoral and postdoctoral studies; Continuous self-education and study.
Description of Study Advanced mathematics focuses on the study and creation of mathematical and computational tools broadly applicable in science and engineering, and on their use in solving challenging problems in these and related fields.

From ecological modeling to mechanics, from statistical analysis to mathematical economics, areas of investigation are diverse. This master’s program offers advanced theoretical knowledge in this complex and dynamic domain.

Core compulsory courses:

Qualitative theory of ordinary differential equations; Group theory and applications; Mathematical methods in fluid mechanics; Methodology of the mathematical research; Nonlinear partial differential equations; Techniques of function approximation; Rings and modules; Applied nonlinear analysis; Complex analysis in on and higher dimensions; Algebraic topology; Homological algebra.

Core optional courses:

Geometric function theory in several complex variables; Potential theory and elliptic boundary value problems; Aspects of critical point theory; Fixed point theory for multivalued operators; Reaction-diffusion systems; Periodic solutions of differential systems; Modules and abelian categories; Morse Theory; Representations of groups and algebras; Category theory.

Purposes of the Programme The program was created to respond to the demand of specialists in pure and applied mathematics, treating not only theoretical problems, but also doing mathematical modeling for various domains of science, economy and industry.
Specialization / Area of Expertise Experts in the main fundamental structures of Mathematics from Algebra, Analysis and Geometry/Topology, as well as in studying different applicative problems from Differential Equations, Mechanics and Approximation Theory. Mathematical modeling and mathematical interdisciplinary approaches are also in our target.
Extra Peculiarities Optional: Practice of Education
Practical Training Participation in a research project during the last semester.
Final Examinations Research thesis
Gained Abilities and Skills
  • Knowledge of some of the most recent results and methods from nonlinear analysis, in connection with concrete applications;
  • Capacity to identify and use fundamental models of partial differential equations in mathematical analysis of real processes;
  • Ability to construct new mathematical models and to maintain the feedback towards reality;
  • Ability to use numerical simulations and approximation techniques;
  • Ability of self -documentation and to carry out independent mathematical work and research.
Job Placement, Potential Field of Professional Activity Mathematicians and experts in mathematical modeling in: research, academic and educational institutes, financial system, industry and production companies.