Scientific Master’s Programme Advanced Mathematics

Programme of study Advanced Mathematics (in English)
Degree Awarded Scientific master’s degree in Mathematics
Standard duration of studies / Number of ECTS Credits 2 years (4 semesters) / 120 ECTS
Type of Study Full-time enrolment
Higher Education Institution Babeș-Bolyai University, Cluj-Napoca, Romania
Faculty / Department Faculty of Mathematics and Computer Science / Department of Mathematics
Phone +40 264 405300, int. 5244
E-mail math@ubbcluj.ro
Website www.cs.ubbcluj.ro
Contact Person Prof. dr. Adrian Petrușel, adrian.petrusel@ubbcluj.ro
Programme Objectives The programme was designed to meet the growing demand for specialists in pure and applied mathematics, addressing not only theoretical challenges but also engaging in mathematical modelling across various fields of science, economics, and industry.
Target Group Bachelor’s degree graduates in Mathematics, Computer Science, Physics, Engineering, Chemistry, Biology, Economics.
Admission Graduate student recruitment is based on a competitive process. For candidates holding a Bachelor’s degree in Mathematics or Computer Science, admission is determined by the overall undergraduate GPA (calculated over three or four years) and a personal portfolio. For candidates from other fields, admission is based on the grade obtained in a written test (see the curriculum here) and a personal portfolio.
Description of Study Advanced mathematics explores the development and application of mathematical and computational tools widely used in science, engineering, and related disciplines. From ecological modelling to mechanics, statistical analysis to mathematical economics, the fields of inquiry are diverse and interconnected. This master’s programme provides in-depth theoretical training within this complex and dynamic domain.

Core Courses Offered by the Programme:

  • Qualitative theory of ordinary differential equations
  • Nonlinear partial differential equations
  • Applied functional analysis
  • Variational calculus on varieties
  • Numerical methods and techniques for function approximation
  • Statistics
  • Optimization
  • Applied nonlinear analysis
  • Fixed point theory for multivalued operators
  • Algebraic topology
  • Group theory and applications;
  • Representations of groups and algebras
  • Category theory
  • Homological algebra
  • Geometric function theory in several complex variables
  • Mathematical and computational methods in fluid mechanics
  • Research project
Final Examinations Dissertation (research thesis)
Gained Abilities and Skills
  • Rigorous analytical thinking
  • Research methodology
  • Capacity for self-directed learning and the ability to conduct independent mathematical work and research
  • Academic writing and presentation
  • Teaching advanced topics
  • Expertise in the fundamental structures of mathematics, including algebra, analysis, geometry, and topology
  • Knowledge of recent developments and methods in nonlinear analysis, statistics, and optimization, with an emphasis on practical applications
  • Applying fundamental models and develop new mathematical models for analysing real-world processes
  • Using numerical simulations and approximation techniques
Opportunities for Further Study Doctoral studies in Mathematics
Academic Credentials and Professional Opportunities Academia: Researcher, lecturer, or professor.

Industry: Roles in data science, finance, mathematical modelling, software development, cryptography, and more.

Government & Policy: Statistical analysis, optimization, modelling, and forecasting.