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Master programmes in mathematics
When recruiting for a second cycle programme you need to choose a master seminar. Assignment to a master seminar determines your choice of master programme and specialization (see below).
Each master programme and specialization involves a specific set of courses that you will be required to complete during your studies. These courses are counted in the pool of 11 facultative or monographic courses that are required to complete studies. In the case of the Mathematical Methods in Finance programme only, completing some of the courses is required already in the first year. In other cases, you are free to complete them over 2 years.
You can freely choose the remaining facultative or monographic courses (though keep in mind that facultative courses assigned only to the group of Facultative courses for first-cycle studies in mathematics, do not give credit during second-cycle studies). You can also complete up to 2 elective courses from another field of study (e.g., Computer Science or ML); the credits for passing them will show up in Usos as bonuses, summing up when settling a study term with 1000-MAT-FMON credits.
If you have completed any of the courses required for your specialization during your 1st-cycle studies, you can link them to your 2nd-cycle programme (as long as they were not used to settle your 1st-cycle studies) or ask the Student office to modify the ECTS credit requirements for specialization courses (the number of facultative courses required for completing your degree remains unchanged in this case).
In addition to your specialization courses, you need to follow the general course schedule for second-cycle programme in mathematics.
MASTER PRGRAMMES IN MATHEMATICS
| Master programme | Specialization | Master Seminar | Set of obligatory courses |
| General mathematics | Algebra |
Classical algebraic structures and their applications 1000-1D96AL/Number Theory and Cryptography 1000-1D06TL |
Commutative algebra 1000-135ALP |
| Finite dimensional algebras and linear representations 1000-135ASW | |||
| Number theory 1000-135TL | |||
| Analysis, Differential Equations and Dynamical systems | Analysis and differential equations 1000-1D96AM | Measure Theory 1000-135TM | |
| Qualitative Theory of Ordinary Differential Equations 1000-135RRJ | |||
| and at least 3 from the list: | |||
| Complex analysis 1000-135ANZ | |||
| Differential geometry 1000-135GR | |||
| Mathematical Models of Classical Mechanics1000-135MMK | |||
| Partial differential equations 1000-135RRC | |||
| Control theory 1000-135TST | |||
| Dynamical systems 1000-135UD | |||
| Selected topics in functional analysis 1000-135ZAF | |||
| Discrete mathematical methods and cryptography | Number Theory and Cryptography 1000-1D06TLK | Finite dimensional algebras and linear representations 1000-135ASW | |
| Number theory 1000-135TL | |||
| Advanced approach to elementary mathematics | Selected topics in geometry 1000-1D96GE | Number theory 1000-135TL | |
| Popularization of Mathematics (monographic seminar) 1000-1S03PM | |||
| Mathematics in Computer science | Data exploration1000-5D17ED | Mathematical Logic 1000-135LOM | |
| Data mining 1000-2M03DM | |||
| Time series 1000-135SC | |||
| Probability theory | PROBABILITY THEORY 1000-1D96RP | Stochastic processes 1000-135PS | |
| Introduction to stochastic analysis 1000-135WAS | |||
| Topology and geometry of manifolds | Topology and geometry of manifolds 1000-1D97TA | Algebraic methods in geometry and topology 1000-135MGT | |
| Algebraic topology 1000-135TA | |||
| Commutative algebra 1000-135ALP | |||
| Algebraic Geometry 1000-135GEA | |||
| Differential geometry 1000-135GR | |||
| and at least 2 from the list: | |||
| Lie groups and Lie algebras 1000-135AGL | |||
| Complex manifolds 1000-135ROZ | |||
| Number theory 1000-135TL | |||
| Topology and set theory | Topology and set theory 1000-1D96TO | Set theory 1000-135TMN | |
| Mathematical Logic 1000-135LOM | |||
| General topology 1000-135TOG | |||
| Applied mathematics | Mathematical Statistics | Mathematical Statistics and its Applications 1000-1D96ST/Machine learning 1000-5D17UM | Multivariate Statistics 1000-135SW |
| Bayesian statistics 1000-135STB | |||
| and at least 3 from the list: | |||
| Econometrics 1000-135EKN | |||
| Scientific Computing 1000-135ONA | |||
| Nonlinear optimization 1000-135OPN | |||
| Stochastic Processes 1000-135PS | |||
| Stochastic Simulations 1000-135SST | |||
| Time series 1000-135SC | |||
| Stochastic processes in biology and social sciences 1000-135PSB | |||
| Computational mathematics | Numerical methods 1000-5D96MN | Selected topics in numerical analysis 1000-135AN | |
| and at least 2 from the list: | |||
| Approximation and complexity 1000-135APZ | |||
| Computer graphics 1000-135GK | |||
| Computational methods in finance 1000-135MOF | |||
| Numerical Differential Equations 1000-135NRR | |||
| Scientific Computing 1000-135ONA | |||
| Nonlinear optimization 1000-135OPN | |||
| Mathematical models in biology and social sciences | Mathematical models in biology and social sciences 1000-1D10MBS/Biomedical data analysis 1000-5D22ADB/Proteomics data analysis1000-5D22ADP/ Bioinformatics and computational genomics 1000-5D22BGO | Mathematical methods in natural and social sciences 1000-135MMN | |
| Control theory 1000-135TST | |||
| Stochastic processes in biology and social sciences 1000-135PSB | |||
| Mathematical Models of Biology and Medical Sciences 1000-135MBM | |||
| and at least 2 from the list: | |||
| Nonlinear optimization 1000-135OPN | |||
| Information theory 1000-2N03TI | |||
| Stochastic Simulations 1000-135SST | |||
| Introduction to computational biology 1000-2N03BO (mandatory in the first year for students of the following seminars: Biomedical Data Analysis 1000-5D22ADB/Proteomics data analysis1000-5D22ADP/ Bioinformatics and computational genomics 1000-5D22BGO) | |||
| Mathematical analysis in natural science models | Partial differential equations and their applications 1000-1D09RC | and at least 4 from the list: | |
| Qualitative Theory of Ordinary Differential Equations 1000-135RRJ | |||
| Mathematical methods in natural and social sciences 1000-135MMN | |||
| Mathematical Models of Classical Mechanics1000-135MMK | |||
| Numerical Differential Equations 1000-135NRR | |||
| Stochastic Processes 1000-135PS | |||
| Partial differential equations 1000-135RRC | |||
| Control theory 1000-135TST | |||
| Introduction to stochastic analysis 1000-135WAS | |||
| Selected topics in functional analysis 1000-135ZAF | |||
| Mathematical Models in Finance | Probability methods in finance 1000-1D05MPF/Mathematical Models in Finance 1000-1D11MMF | Introduction to stochastic analysis (1st year*) 1000-135WAS | |
| Financial Engineering (1st year*) 1000-135IFI | |||
| Mathematical Models of Derivatives Markets I (1st year*) 1000-135IP1 | |||
| Portfolio analysis (1st year*) 1000-135AP | |||
| Computational methods in finance (1st year*) 1000-135MOF | |||
| Mathematical models of financial derivatives markets II 1000-135IP2 | |||
| Risk measures 1000-135MR | |||
| 1st year* - you need to complete this course in your first year of study | |||
| Mathematical methods in insurance | Actuarial Mathematics 1000-1D11AM | Mathematics in Life Insurance 1000-135MUZ | |
| Risk Theory in Insurance 1000-135TRU | |||
| Stochastic Processes 1000-135PS | |||
| Introduction to stochastic analysis 1000-135WAS | |||
| Portfolio analysis 1000-135AP | |||
| Mathematical Models of Derivatives Markets I 1000-135IP1 | |||
| Financial Engineering 1000-135IFI | |||
