# Study year 1

## Master's Programme, Mathematics, 120 credits (TMAKM), Programme syllabus for studies starting in autumn 2018

The following courses are part of study year one.

The course application codes and study periods are valid for the academic year **2018/2019**. For other academic years, different application codes and study periods may apply.

## General

### General courses

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**:

MM8002Topology (conditionally elective topology) is given at Stockholm University Autumn 2018.

MM8005 Galois Theory (elective) is given at Stockholm University Spring 2019.

MM8019 Commutative Algebra and Algebraic Geometry (conditionally elective Algebra and Geometry) is given at Stockholm University H18.

MM8008 Partial Differential Equations (conditionally elective Analysis)

MM8039 Advanced Real Analysis II (conditionally elective Analysis) is given at Stockholm University Spring 2018.

MM8040 Function Theory of Several Complex Variables (elective) is given at Stockholm University Autumn 2018.

**There are other courses at the programme that are NOT given during 18/19 (but may be given in upcoming years):**

DD2445 Complexity Theory (elective)

SF2704 Topics in Mathematics I (elective)

SF2705/MM8003 Fourier Analysis (conditionally elective Analysis)

SF2716 Topics in Mathematics II (elective)

SF2724 Topics in Mathematics IV (elective)

SF2728/MM8012 Number Theory (conditionally elective Discrete Mathematics)

SF2730 Topics in Mathematics V (elective)

SF2733 Elementary Differential Geometry (elective)

SF2734 Analytic Function II (elective)

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

SF2738/MM8021 Representation Theory for Finite and Compact Groups (elective)

SF2739/MM8008 Partial Differential Equations (conditionally elective Analysis)

SF2740 Graph Theory (conditionally elective Discrete Mathematics)

SF2742 Convex Polytypes (elective)

SF2827 Topics in Optimization (elective)

SF2972 Game Theory (elective)

Mandatory | Appl.code | cr. | Study period | |||
---|---|---|---|---|---|---|

1 | 2 | 3 | 4 | |||

7.5 | 7.5 |

Conditionally elective | Appl.code | cr. | Study period | |||
---|---|---|---|---|---|---|

1 | 2 | 3 | 4 | |||

7.5 | 3.7 | 3.8 | ||||

7.5 | 3.7 | 3.8 |

Optional | Appl.code | cr. | Study period | |||
---|---|---|---|---|---|---|

1 | 2 | 3 | 4 | |||

7.5 | 7.5 | |||||

7.5 | 7.5 | |||||

7.5 | 7.5 | |||||

7.5 | 7.5 | |||||

6.0 | 1.5 | 4.5 | ||||

7.5 | 3.7 | 3.8 | ||||

6.0 | 6.0 | |||||

7.5 | 7.5 | |||||

7.5 | 7.5 | |||||

7.5 | 7.5 | |||||

7.5 | 7.5 | |||||

7.5 | 7.5 | |||||

7.5 | 7.5 | |||||

7.5 | 7.5 | |||||

7.5 | 4.5 | 3.0 | ||||

7.5 | 3.0 | 4.5 | ||||

7.5 | 3.7 | 3.8 | ||||

7.5 | 7.5 | |||||

7.5 | 7.5 | |||||

7.5 | 7.5 |