Director of the specialization:
Konstantin Izyurov
Mandatory core courses, 10-25 cr
MAST31701 Probability theory I (5 cr)
MAST31702 Probability theory II (5 cr)
MAST30132 Introduction to Real and Fourier Analysis (5 cr) recommended
MAST31002 Functional analysis (10 cr) recommended
Specialization courses, at least 10 cr from this list:
MAST31707 Malliavin calculus (10 cr)
MAST31706 Stochastic analysis I (5 cr)
MAST31710 Stochastic analysis II (5 cr)
TCM310 Stochastic methods (10 cr)
MAST31704 Topics in probability I (5 cr)
MAST31705 Topics in probability II (5 cr)
MAST30001 Master's thesis seminar (5 cr)
MAST31000 Master's thesis (30 cr) (the link includes grading scale and criteria)
Other advanced courses from the list of core courses, mathematics, applied mathematics, statistics courses and/or courses from other programmes as approved in personal study plan.
Other requirements, such as possibly required bachelor's level mathematics courses (the module 0-35 cr other studies) are explained here:
Konstantin Izyurov
Optional courses: master level courses in Mathematics, Statistics
and/or minor subjects (40-60 cr., of which no more than 30 cr. in minor subjects)
Recommended courses: Stochastic processes, Stochastic analysis, Large deviations, Malliavin calculus, Mathematical finance, Risk theory, Study track courses in Mathematical Physics, Extreme events, other advanced courses in mathematics or statistics
Specialization courses (10–20 credits). It is strongly recommended that to take at least 10 cr. from the following courses: Stochastic processes, Stochastic analysis, Malliavin calculus, Mathematical finance, Risk theory. It is also possible to take a course under the code "Study track Course in Mathematical Physics" if the topic is appropriate (to be agreed with a faculty member).
Other courses in mathematics and statistics: (0-20cr), to be agreed with a faculty member: Vector analysis II, 5cr. Differential equations II 5cr., Statistical inference II 10cr
Example 1
A student inclined to study Probability on advanced level, possibly with a goal to pursue a Ph. D. in the field.
Year 1, Autumn
Probability theory I+II
Functional analysis
Mathematical finance I-II
Optimal stochastic control with applications to finance
Year 1, Spring
Topics in Probability I+II
Stochastic Analysis I+II
Introduction to mathematical physics
Year 2, Autumn
Malliavin calculus
Spectral theory
Topics in mathematical physics
Year 2, Spring
Pro gradu seminar and thesis.
Example 2
A student interested in more applied aspects of Stochastics.
Year 1, Autumn
Probability theory I+II,
Risk theory
Financial mathematics I+II
Optimal stochastic control with applications to finance
Year 1, Spring
Topics in Probability I
Stochastic Analysis I+II
Advanced risk theory
Tariff theory
Year 2, Autumn
Malliavin calculus
Life insurance mathematics
Mathematical modelling
Year 2, Spring
MAST30001 Master´s thesis seminar and MAST31000 Master´s thesis
List of stochastic courses:
MAST31703 Advanced topics in probability (5 cr)
MAST31707 Malliavin calculus (10 cr)
MAST31709 Optimal stochastic control with applications to finance (5 cr)
MAST31701 Probability theory I (5 cr)
MAST31702 Probability theory II (5 cr)
MAST31704 Topics in probability (5 cr)
MAST31705 Topics in probability (5 cr)
MAST31706 Stochastic analysis I (5 cr)
MAST31010 Stochastic analysis II (5 cr)
TCM310 Stochastic methods (10 cr)