The following are courses given by Mathematical Sciences owned by other Master's Programmes

MVE136 | MPCOM, | Random signal analysis |

EEN100 | MPCOM, | Statistics and machine learning in high dimensions |

MVE560 | MPARC, | Architectural geometry |

## Packages of master courses in mathematical sciences

These course packages are designed for students who want to strengthen and broaden their knowledge of mathematics to enrich and complete their master studies in a different topic.

Mathematical ideas and mathematical models are useful tools in many disciplines in engineering and science. The courses are selected to provide a general, broad mathematical basic skills suitable for many different specialisations in the Master's Programme as physics, chemistry, biotechnology, mechanics and electronics, but also others.

### Prerequisites

- Single- and multivariable calculus (ca 22,5 hp)
- Linear algebra (ca 7,5 hp)
- Mathematical statistics (ca 7,5 hp)

### The five packages

- Computations.
- IT/Computer science
- Industrial statistics
- Financial mathematics and statistics
- Mathematics, general.

##### One general recommendation

- Statistical inference (per 3)

##### 1. Computations

- Fourier Analysis (per 1), in case not already taken
- Statistical Inference (per 3)

- Numerical linear algebra (per 1)
- Non-linear optimization (per 1)
- Partial differential equationers, first course (per 3)
- High performance computing (per 1)

##### 2. IT / Computer science

- Statistical Inference (per 3)

- Numerical linear algebra (per 1)
- Algebra (per 3)
- High performance computing (per 1)
- Linear and integer optimization with applications (per 4)

##### 3. Industrial statistics

- Statistical Inference (per 3)
- Experimental Design (per 3)

- Stochastic data processing and simulation (per 1)
- Basic stochastic processes (per 2)
- Statistical image analysis (per 4)
- Statistical learning for big data (per 4)

- Statistical Inference (per 3)

- Stochastic data processing and simulation (per 1)
- Non-linear optimization (per 1)

- Stochastic calculus (per 1)
- Options and mathematics (per 2)
- Financial risk (per 4)
- Financial derivatives (per 3)
- Financial time series (per 4)

##### 5. Mathematics, general

- Fourier Analysis (per 1), in case not already taken
- Statistical Inference (per 3)

- Non-linear optimization (per 1)
- Partial differential equationers, first course (per 3)
- Ordinary differential equations and mathematical modelling (per 4)

#### Short course descriptions

**MVE150 Algebra**

**TMA285 Financial derivatives**

**TMS088 Financial time series**

**MVE220 Financial risk**

**TMA362 Fourier analysis**

**TMS032 Experimental design**

**TMA881 High performance computing**

**MVE170 Basic stochastic processes**

**MVE162 Ordinary differential equations and mathematical modelling**

**TMA265 Numerical linear algebra**

**TMA947 Non-linear optimization**

**MVE095 Options and mathematics**

**TMA372 Partial Differential Equations, first course**

**TMS016 Statistical image analysis**

**TMS150 Stochastic data processing and simulation**

**MVE155 Statistical inference**

**TMS 150 Stochastic Calculus**

**MVE165 Linear and integer optimization with applications**