Study year 1

Master's Programme, Mathematics, 120 credits (TMAKM), Programme syllabus for studies starting in autumn 2019

The following courses are part of study year one.

The course application codes and study periods are valid for the academic year 2019/2020. For other academic years, different application codes and study periods may apply.

General

MM7020 Mathematical communication, 7,5 cr, is compulsory and is given by Stockholm University every Autumn.

Among the conditionally elective courses one in each area has to be studied (algebra and geometry, topology, analysis and discrete mathematics). 

The following two websites contain useful information:

http://www.math-stockholm.se/master/

https://www.kth.se/en/sci/institutioner/math/utb/utbildning-1.50650

The following courses willgiven at Stockholm University:

MM8002 Topology (conditionally elective topology) is given at Stockholm University Autumn 2019.

SF2738/MM8021 Representation Theory for Finite (elective) is given at Stockholm University Spring 2020.

SF2739/MM8008 Partial Differential Equations  (conditionally elective Analysis) is given at Stockholm University Autumn 2019.

MMxxxx Algebraic Groups is given at Stockholm University Autumn 2019. (New)

There are other courses at the programme that are NOT given during 19/20 (but may be given in upcoming years):

MM8005 Galois Theory (elective).

MM8008 Partial Differential Equations  (conditionally elective Analysis)

MM8039 Advanced Real Analysis II (conditionally elective Analysis).

MM8040 Function Theory of Several Complex Variables (elective).

DD2445 Complexity Theory (elective)

SF2704 Topics in Mathematics I (elective)

SF2716 Topics in Mathematics II (elective)

SF2728/MM8012 Number Theory (conditionally elective Discrete Mathematics)

SF2733 Elementary Differential Geometry (elective)

SF2734 Analytic Function II (elective)

SF2735/MM8020 Homological Algebra and Algebraic Topology (conditionally elective Algebra and Geometry)

SF2742 Convex Polytypes (elective)

SF2827 Topics in Optimization (elective)

Mandatory Appl.code Scope Study period
 1   2   3   4 
AK2040 Theory and Methodology of Science with Applications Computational Science) 60140 7.5 hp 7.5

Conditionally elective Appl.code Scope Study period
 1   2   3   4 
SF2705 Fourier Analysis
Analysis
50856 7.5 hp 3.8 3.7
SF2737 Commutative Algebra and Algebraic Geometry
Algebra and Geometry
50596 7.5 hp 3.7 3.8
SF2740 Graph Theory
Discrete Mathematics
50877 7.5 hp 3.7 3.8
SF2743 Advanced Real Analysis I
Analysis
50885 7.5 hp 3.7 3.8
SF2728 Number Theory
Discrete Mathematics
60468 7.5 hp 3.8 3.7
SF2750 Algbraic Topology
Algebra and Geometry
60408 7.5 hp 3.8 3.7
Optional Appl.code Scope Study period
 1   2   3   4 
SF2940 Probability Theory 50348 7.5 hp 7.5
SF2942 Portfolio Theory and Risk Management 50351 7.5 hp 7.5
SF2975 Financial Derivatives 50349 7.5 hp 7.5
DD2440 Advanced Algorithms 50216 6.0 hp 1.5 4.5
DD2445 Complexity Theory 50599 7.5 hp 4.0 3.5
DD2447 Statistical Methods in Applied Computer Science 50338 6.0 hp 6.0
SF2832 Mathematical Systems Theory 50346 7.5 hp 7.5
SF2863 Systems Engineering 50347 7.5 hp 7.5
SF2980 Risk Management 50350 7.5 hp 7.5
SF2812 Applied Linear Optimization 60044 7.5 hp 7.5
SF2842 Geometric Control Theory 60310 7.5 hp 7.5
SF2930 Regression Analysis 60172 7.5 hp 7.5
SF2971 Martingales and Stochastic Integrals 60307 7.5 hp 7.5
SF2972 Game Theory 60306 7.5 hp 7.5
DD2352 Algorithms and Complexity 60319 7.5 hp 4.5 3.0
SF2724 Topics in Mathematics IV 60385 7.5 hp 3.8 3.7
SF2730 Topics in Mathematics V 60480 7.5 hp 3.8 3.7
SF2745 Advanced Complex Analysis 60894 7.5 hp 3.8 3.7
DD2448 Foundations of Cryptography 60102 7.5 hp 7.5
SF2822 Applied Nonlinear Optimization 60286 7.5 hp 7.5
SF2943 Time Series Analysis 60175 7.5 hp 7.5
SF2955 Computer Intensive Methods in Mathematical Statistics 60260 7.5 hp 7.5