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Wydział Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego
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Mathematics, second cycle, academic year 2020/21 and following years


You need to choose a master seminar while enrolling for a second cycle degree programme. This involves choosing a master degree programme and a specialization (all indicated below in the course schedule).

Each programme is assigned a specific set of courses that you will need to complete during your studies. These courses are included in the total pool of faculties required to complete the year of study indicated in the general course schedule below. For example: if 11 facultative or monograph courses are required to complete studies, and the Mathematics in Computer Science specialization requires the completion of 3 courses, the remaining 8 faculties can be selected freely.

You need to complete set of specialization courses by the end of the second year of study, but those who have chosen the Mathematical Methods in Finance programme should register for some of them already in their first year of study.

If you have completed any of the courses required for your specialization pathway during your 1st cycle studies, you can either re-link it to your 2nd cycle programme (as long as it has not been used to settle your 1st cycle studies) or ask the student office to modify the ECTS credit requirements for your specialization courses (the number of faculties required for completion of studies remains unchanged in this case).
 
Course name Number of hours ECTS credits Form of crediting a course
1st year 2020/21 Lecture Practical Class Lab Total  
Facultative courses from the group:  "1000-MAT-2ST-FAK" / monographic courses from the group: "1000-MAT45-MON" (8) 240 240   480 48 E
Monographic seminar (1000-MAT45-SEM)   60   60 6 Grading
Master seminar (1000-MAT-SEM-MGR)   60   60 6 Pass/Fail
Total 240 360 0 600 60  
 
2nd year 2021/22 Lecture Practical Class Lab Total  
Facultative courses from the group:  "1000-MAT-2ST-FAK" / monographic courses from the group: "1000-MAT45-MON" (3) 90 90   180 18 E
Mathematical writing in English   30   30 6 paper
Monographic seminar   60   60 6 Grading
Master seminar   60   60 6 E
General university courses   60   60 6 Grading/Exam
Master thesis         18  
Total 90 300 0 390 60  
 
Total study programme 360 660   1020 120  
Requirements for Master seminars and obligatory courses for individual study programmes and specializations can be found in the table below.    
             
             
Programme: General mathematics
Specialization in Algebra Lecture Practical Class Lab Total ECTS credits Form of crediting a course
Seminar: Classical algebraic structures and their applications (1000-1D96AL)  or Number Theory and Cryptography (1000-1D06TLK)       60 6 Grading
Commutative algebra 1000-135ALP  30 30   60 6 E
Finite dimensional algebras and linear representations 1000-135ASW 30 30   60 6 E
Number theory 1000-135TL 30 30   60 6 E
Specialization in Mathematical analysis and differential equations            
Seminar: Analysis and differential equations 1000-1D96AM       60 6 Grading
Measure Theory 1000-135TM 30 30   60 6 E
Qualitative Theory of Ordinary Differential Equations 1000-135RRJ 30 30   60 6 E

and at least 3 courses from the list below:

            
Complex analysis 1000-135ANZ 30 30   60 6 E
Differential geometry 1000-135GR 30 30   60 6 E
Mathematical Models of Classical Mechanics   1000-135MMK 30 30   60 6 E
Partial differential equations 1000-135RRC 30 30   60 6 E
Control Theory 1000-135TST 30 30   60 6 E
Dynamical systems 1000-135UD 30 30   60 6 E
Selected topics in functional analysis 1000-135ZAF 30 30   60 6 E
Specialization in Discrete mathematical methods and cryptography            
Seminar: Number theory and cryptography 1000-1D06TLK       60 6 Grading
Finite dimensional algebras and linear representations 1000-135ASW 30 30   60 6 E
Number theory 1000-135TL 30 30   60 6 E
Specialization in Advanced approach to elementary mathematics            
Seminar: Topics in geometry   1000-1D96GE       60 6 Grading
Number theory 1000-135TL 30 30   60 6 E
Popularisation of Mathematics (Monographic seminar) 1000-1S03PM       60 6 Grading
Specialization in Mathematics in computer science            
Seminar: Data exploration 1000-5D17ED       60 6 Grading
Mathematical Logic 1000-135LOM           E
Data mining  1000-2M03DM           E
Time series 1000-135SC           E
Specialization in Probability theory            
Seminar: Probability theory  1000-1D96RP       60 6 Grading
Stochastic Processes 1000-135PS 30 30   60 6 E
Introduction to stochastic analysis 1000-135WAS 30 30   60 6 E
Specialization in Topology and geometry of manifolds            
Seminar: Topology and geometry of manifolds 1000-1D97TA       60 6 Grading
Algebraic methods in geometry and topology 1000-135MGT 30 30   60 6 E
Algebraic topology  1000-135TA 30 30   60 6 E
Commutative algebra 1000-135ALP 30 30   60 6 E
Algebraic Geometry 1000-135GEA 30 30   60 6 E
Differential geometry 1000-135GR 30 30   60 6 E
and at least 2 courses from the list below:            
Lie groups and Lie algebras 1000-135AGL 30 30   60 6 E
Complex manifolds 1000-135ROZ 30 30   60 6 E
Number theory 1000-135TL 30 30   60 6 E
Specialization in Topology and set theory            
Seminar: Topology and set theory 1000-1D96TO 30 30   60 6 Grading
Set theory 1000-135TMN 30 30   60 6 E
Mathematical Logic 1000-135LOM 30 30   60 6 E
General topology 1000-135TOG 30 30   60 6 E
Programme: Applied mathematics
Specialization in Mathematical Statistics            
Seminar: Mathematical Statistics and its Applications 1000-1D96ST or Machine learning 1000-5D17UM       60 6 Grading
Multivariate Statistics 1000-135SW 30 30   60 6 E
Bayesian statistics 1000-135STB 30 30   60 6 E
and at least 3 courses from the list below:            
Econometrics 1000-135EKN 30 30   60 6 E
Scientific Computing 1000-135ONA 30 30   60 6 E
Nonlinear optimization 1000-135OPN 30 30   60 6 E
Stochastic Processes  1000-135PS 30 30   60 6 E
Stochastic Simulations  1000-135SST 30 30   60 6 E
Time series 1000-135SC 30 30   60 6 E
Stochastic processes in biology and social sciences 1000-135PSB  30 30   60 6 E
Specialization in Computational Mathematics            
Seminar: Numerical methods 1000-5D96MN 30 30   60 6 Grading
Selected topics in numerical analysis 1000-135AN 30 30   60 6 E
and at least 2 courses from the list below:            
Approximation and complexity 1000-135APZ 30 30   60 6 E
Computer graphics 1000-135GK 30 30   60 6 E
Computational methods in finance 1000-135MOF 30 30   60 6 E
Numerical Differential Equations 1000-135NRR 30 30   60 6 E
Scientific Computing 1000-135ONA 30 30   60 6 E
Nonlinear optimization 1000-135OPN 30 30   60 6 E
Specialization in Mathematical methods in biology and social sciences            
Seminar: Mathematical models in biology and social sciences 1000-1D10MBS or Computational biology 1000-5D97MB       60 6 Grading
Mathematical methods in natural and social sciences 1000-135MMN 30 30   60 6 E
Control Theory 1000-135TST 30 30   60 6 E
Stochastic processes in biology and social sciences 1000-135PSB 30 30   60 6 E
Mathematical Models of Biology and Medical Sciences 1000-135MBM 30 30   60 6 E
and at least 2 courses from the list below:            
Nonlinear optimization 1000-135OPN 30 30   60 6 E
Information theory 1000-2N03TI 30 30   60 6 E
Stochastic Simulations 1000-135SST 30 30   60 6 E
Introduction to computational biology (obligatory for participants in
Computational biology seminar) (Ir) 1000-2N03BO		 30 30   60 6 E
Specialization in Analysis in mathematical models of natural sciences            
Seminar: Partial differential equations and their applications 1000-1D09RC       60 6 Grading
and at least 4 courses from the list below:            
Qualitative Theory of Ordinary Differential Equations 1000-135RRJ 30 30   60 6 E
Mathematical methods in natural and social sciences 1000-135MMN 30 30   60 6 E
Mathematical Models of Classical Mechanics  1000-135MMK 30 30   60 6 E
Numerical Differential Equations 1000-135NRR 30 30   60 6 E
Stochastic Processes 1000-135PS 30 30   60 6 E
Partial differential equations 1000-135RRC 30 30   60 6 E
Control Theory 1000-135TST 30 30   60 6 E
Introduction to stochastic analysis 1000-135WAS 30 30   60 6 E
Selected topics in functional analysis 1000-135ZAF 30 30   60 6 E
Programme: Mathematical methods in finance (this programme is not divided into specializations)
Seminar: Mathematical Finance 1000-1D11MF or Probability methods in finance 1000-1D05MPF or Mathematical Models in Finance 1000-1D11MMF       60 6 Grading
Introduction to stochastic analysis (Ir) 1000-135WAS 30 30   60 6 E
Financial Engineering (Ir) 1000-135IFI 30 30   60 6 E
Mathematical Models of Derivatives Markets  (Ir) 1000-135IP1 30 30   60 6 E
Portfolio analysis (Ir) 1000-135AP 30 30   60 6 E
Computational methods in finance (Ir)   1000-135MOF 30 30   60 6 E
Mathematical models of financial derivatives markets II 1000-135IP2 30 30   60 6 E
Risk measures 1000-135MR 30 30   60 6 E
Programme: Mathematical methods in insurance (this programme is not divided into specializations)
Seminar: Actuarial Mathematics 1000-1D11AM       60 6 Grading
Mathematics in Life Insurance 1000-135MUZ 30 30   60 6 E
Risk Theory in Insurance 1000-135TRU 30 30   60 6 E
Stochastic Processes   1000-135PS 30 30   60 6 E
Introduction to stochastic analysis 1000-135WAS 30 30   60 6 E
Portfolio analysis 1000-135AP 30 30   60 6 E
Mathematical Models of Derivatives Markets 1000-135IP1 30 30   60 6 E
Financial Engineering  1000-135IFI 30 30   60 6 E