### Info

Level | Master |
---|---|

Language | English |

Duration | 2 years |

Type | Fulltime and parttime |

Credits | 120 EC |

Faculty | Faculty of Science |

Mathematics Analysis and Dynamical Systems track

##### Description

Compulsory courses for the Analysis and Dynamical Systems track are:

• Master Project Mathematics (36 EC)

• Master Seminar in Analysis and Dynamical Systems (6 EC)

• Scientific Writing in English (3 EC)

For the remaining 75 EC:

Students in the Analysis and Dynamical Systems Track must choose 3 core

courses from the list below, and 2 advanced courses from the list below.

Besides these courses they may choose elective Mathematics courses from

the Mastermath program (excluding the Mastermath teacher courses) or

from the local VU and UvA programs (for these local courses, see the

lists below). Some (nonbinding) suggestions are made in the list below.

In addition they may choose 15 EC of electives outside of Mathematics.

• Master Project Mathematics (36 EC)

• Master Seminar in Analysis and Dynamical Systems (6 EC)

• Scientific Writing in English (3 EC)

For the remaining 75 EC:

Students in the Analysis and Dynamical Systems Track must choose 3 core

courses from the list below, and 2 advanced courses from the list below.

Besides these courses they may choose elective Mathematics courses from

the Mastermath program (excluding the Mastermath teacher courses) or

from the local VU and UvA programs (for these local courses, see the

lists below). Some (nonbinding) suggestions are made in the list below.

In addition they may choose 15 EC of electives outside of Mathematics.

Compulsory Courses

Course Name | Period | Credits | Code |
---|---|---|---|

Master Project Mathematics | Ac. Year (sept) | 36EC | X_400355 |

Master Seminar in Analysis and Dynamical Systems | P1+2, P4+5 | 6EC | XM_41013 |

Scientific Writing in English | P4 | 3EC | X_400512 |

Compulsory Choice 2 out of 4 (advanced courses Analysis and Dynamical
Systems)

##### Description

• At least two advanced courses in A&DS: usually taken in the second

year of the Master. These courses may change from year to year. In

2017-2018 they are:

year of the Master. These courses may change from year to year. In

2017-2018 they are:

Course Name | Period | Credits | Code |
---|---|---|---|

Nonlinear Waves | P4+5 | 8EC | XMM_40010 |

Suggested elective Courses (MasterMath and Local courses)

Complexity Theory

| 8EC | XMM_0006

Geometric Functional Analysis and Its Applications

| 8EC | XMM_0026

Geometric PDE

| 8EC | XMM_0031

Advanced Machine Learning

P1 | 6EC | XM_0010

Advanced Algebraic Geometry

P1+2 | 8EC | X_418083

Algebraic Geometry 1

P1+2 | 8EC | XMM_40001

Algebraic Number Theory

P1+2 | 8EC | X_400324

Algebraic Topology

P1+2 | 8EC | X_400600

Analytic Number Theory

P1+2 | 8EC | XMM_0023

Applied Stochastic Modeling

P1+2 | 6EC | X_400392

Asymptotic Statistics

P1+2 | 8EC | X_400323

Commutative Algebra

P1+2 | 8EC | X_418136

Continuous Optimization

P1+2 | 6EC | X_400446

Control of Infinite Dimensional Systems

P1+2 | 6EC | XM_0053

Cryptology

P1+2 | 5EC | XMM_40006

Differential Geometry

P1+2 | 8EC | X_400509

Discrete Optimization

P1+2 | 6EC | X_400445

Dynamical Systems

P1+2 | 8EC | X_400429

Forensic Probability and Statistics

P1+2 | 8EC | XMM_0005

Functional Analysis

P1+2 | 8EC | X_400328

Heuristic Methods in Operations Research

P1+2 | 6EC | X_418006

Interacting Particle Systems: Theory and Applications

P1+2 | 8EC | XMM_0021

Interest Rate Models

P1+2 | 6EC | X_418091

Machine Learning Theory

P1+2 | 8EC | XMM_0002

Measure Theoretical Probability

P1+2 | 8EC | X_400244

Numerical Linear Algebra

P1+2 | 8EC | X_400329

Parallel Algorithms

P1+2 | 8EC | X_418011

Partial Differential Equations

P1+2 | 8EC | X_400330

Portfolio Theory

P1+2 | 6EC | X_400535

Probabilistic and Extremal Combinatorics

P1+2 | 8EC | X_418118

Quivers

P1+2 | 6EC | XMU_0003

Set Theory

P1+2 | 8EC | X_418035

Simulation Methods in Statistics

P1+2 | 6EC | X_400258

Statistical Models

P1+2 | 6EC | X_400418

Stochastic Optimization

P1+2 | 6EC | X_400336

Stochastic Processes for Finance

P1+2 | 6EC | X_400352

Stochastic Simulation

P1+2 | 6EC | XMU_0001

Symmetries and Conservation Laws of Nonlinear PDE

P1+2 | 8EC | XMM_0022

Systems and Control

P1+2 | 6EC | X_400332

Topos Theory

P1+2 | 8EC | XMM_0020

Coding and Cryptography

P4 | 6EC | X_405041

Additive Combinatorics

P4+5 | 8EC | XMM_0025

Advanced Linear Programming

P4+5 | 6EC | X_400326

Algebraic Geometry 2

P4+5 | 8EC | XMM_40002

Algebraic Methods in Combinatorics

P4+5 | 8EC | XMM_40003

Algebraic Topology 2

P4+5 | 8EC | XMM_0017

Algebraic Topology in Dynamical Systems

P4+5 | 8EC | XMM_0030

Applied Analysis: Financial Mathematics

P4+5 | 6EC | X_400076

Applied Finite Elements

P4+5 | 6EC | X_400453

Coding Theory

P4+5 | 8EC | X_418160

Course with no name

P4+5 | 8EC | XMM_0003

Elliptic Curves

P4+5 | 8EC | X_400505

History and Philosophy of Mathematics

P4+5 | 8EC | XMM_0032

Inverse Problems in Imaging

P4+5 | 8EC | XMM_0004

Lie Groups and Lie Algebras

P4+5 | 8EC | XMM_40008

Multiple Zeta Functions

P4+5 | 8EC | XMM_0027

Nonlinear Waves

P4+5 | 8EC | XMM_40010

Numerical Bifurcation Analysis of Large-scale Systems

P4+5 | 8EC | XMM_0029

Numerical Methods for Time-dependent PDE

P4+5 | 8EC | XMM_0028

Operator Algebras

P4+5 | 8EC | X_418062

Optimization of Business Processes

P4+5 | 6EC | X_400422

Quantum Computing

P4+5 | 8EC | XMM_0013

Quantum Information Theory

P4+5 | 8EC | XMM_0024

Queueing Theory

P4+5 | 6EC | X_400397

Queues and Levy Fluctuation Theory

P4+5 | 6EC | XMU_0002

Riemann Surfaces

P4+5 | 8EC | X_400325

Scheduling

P4+5 | 6EC | X_400396

Selected Areas in Cryptology

P4+5 | 8EC | XMM_40011

Spatial Statistics

P4+5 | 6EC | XMM_0001

Statistical Theory for High- and Infinite-Dimensional Statistics

P4+5 | 8EC | XMM_0008

Statistics for High-Dimensional Data

P4+5 | 6EC | X_405113

Stochastic Differential Equations

P4+5 | 6EC | X_400454

Stochastic Integration

P4+5 | 8EC | X_400470

Stochastic Processes

P4+5 | 8EC | X_400339

Time series

P4+5 | 8EC | X_400571

Compulsary choice 3 out of 4

Course Name | Period | Credits | Code |
---|---|---|---|

Dynamical Systems | P1+2 | 8EC | X_400429 |

Functional Analysis | P1+2 | 8EC | X_400328 |

Partial Differential Equations | P1+2 | 8EC | X_400330 |

Mathematics Algebra and Geometry track

##### Description

Compulsory courses for the Algebra and Geometry Track are:

• Master Project Mathematics (36 EC)

• Master Seminar in Algebra and Geometry (6 EC)

• Scientific Writing in English (3 EC)

For the remaining 75 EC:

Students in the Algebra and Geometry Track must choose 3 core courses

from the list below, and 2 advanced courses from the list below. Besides

these courses they may choose elective Mathematics courses from the

Mastermath program (excluding the Mastermath teacher courses) or from

the local VU and UvA programs (for these local courses, see the lists

below). Also some (nonbinding) suggestions are made in the list below.

In addition they may choose 15 EC of electives outside of Mathematics.

• Master Project Mathematics (36 EC)

• Master Seminar in Algebra and Geometry (6 EC)

• Scientific Writing in English (3 EC)

For the remaining 75 EC:

Students in the Algebra and Geometry Track must choose 3 core courses

from the list below, and 2 advanced courses from the list below. Besides

these courses they may choose elective Mathematics courses from the

Mastermath program (excluding the Mastermath teacher courses) or from

the local VU and UvA programs (for these local courses, see the lists

below). Also some (nonbinding) suggestions are made in the list below.

In addition they may choose 15 EC of electives outside of Mathematics.

Compulsory Courses

Suggested elective Courses (MasterMath and Local courses)

Complexity Theory

| 8EC | XMM_0006

Advanced Machine Learning

P1 | 6EC | XM_0010

Advanced Algebraic Geometry

P1+2 | 8EC | X_418083

Algebraic Geometry 1

P1+2 | 8EC | XMM_40001

Algebraic Number Theory

P1+2 | 8EC | X_400324

Algebraic Topology

P1+2 | 8EC | X_400600

Applied Stochastic Modeling

P1+2 | 6EC | X_400392

Asymptotic Statistics

P1+2 | 8EC | X_400323

Commutative Algebra

P1+2 | 8EC | X_418136

Continuous Optimization

P1+2 | 6EC | X_400446

Control of Infinite Dimensional Systems

P1+2 | 6EC | XM_0053

Cryptology

P1+2 | 5EC | XMM_40006

Differential Geometry

P1+2 | 8EC | X_400509

Discrete Optimization

P1+2 | 6EC | X_400445

Dynamical Systems

P1+2 | 8EC | X_400429

Functional Analysis

P1+2 | 8EC | X_400328

Heuristic Methods in Operations Research

P1+2 | 6EC | X_418006

Interest Rate Models

P1+2 | 6EC | X_418091

Machine Learning Theory

P1+2 | 8EC | XMM_0002

Measure Theoretical Probability

P1+2 | 8EC | X_400244

Numerical Linear Algebra

P1+2 | 8EC | X_400329

Parallel Algorithms

P1+2 | 8EC | X_418011

Partial Differential Equations

P1+2 | 8EC | X_400330

Portfolio Theory

P1+2 | 6EC | X_400535

Probabilistic and Extremal Combinatorics

P1+2 | 8EC | X_418118

Quivers

P1+2 | 6EC | XMU_0003

Set Theory

P1+2 | 8EC | X_418035

Simulation Methods in Statistics

P1+2 | 6EC | X_400258

Statistical Models

P1+2 | 6EC | X_400418

Stochastic Optimization

P1+2 | 6EC | X_400336

Stochastic Processes for Finance

P1+2 | 6EC | X_400352

Stochastic Simulation

P1+2 | 6EC | XMU_0001

Systems and Control

P1+2 | 6EC | X_400332

Coding and Cryptography

P4 | 6EC | X_405041

Advanced Linear Programming

P4+5 | 6EC | X_400326

Algebra Seminar

P4+5 | 6EC | XM_0058

Algebraic Geometry 2

P4+5 | 8EC | XMM_40002

Algebraic Methods in Combinatorics

P4+5 | 8EC | XMM_40003

Algebraic Topology 2

P4+5 | 8EC | XMM_0017

Applied Analysis: Financial Mathematics

P4+5 | 6EC | X_400076

Applied Finite Elements

P4+5 | 6EC | X_400453

Coding Theory

P4+5 | 8EC | X_418160

Course with no name

P4+5 | 8EC | XMM_0003

Elliptic Curves

P4+5 | 8EC | X_400505

Inverse Problems in Imaging

P4+5 | 8EC | XMM_0004

Lie Groups and Lie Algebras

P4+5 | 8EC | XMM_40008

Nonlinear Waves

P4+5 | 8EC | XMM_40010

Operator Algebras

P4+5 | 8EC | X_418062

Optimization of Business Processes

P4+5 | 6EC | X_400422

Queueing Theory

P4+5 | 6EC | X_400397

Queues and Levy Fluctuation Theory

P4+5 | 6EC | XMU_0002

Riemann Surfaces

P4+5 | 8EC | X_400325

Scheduling

P4+5 | 6EC | X_400396

Selected Areas in Cryptology

P4+5 | 8EC | XMM_40011

Spatial Statistics

P4+5 | 6EC | XMM_0001

Statistical Data Analysis

P4+5 | 6EC | X_401029

Statistical Theory for High- and Infinite-Dimensional Statistics

P4+5 | 8EC | XMM_0008

Statistics for High-Dimensional Data

P4+5 | 6EC | X_405113

Statistics for Networks

P4+5 | 6EC | X_405110

Stochastic Differential Equations

P4+5 | 6EC | X_400454

Stochastic Integration

P4+5 | 8EC | X_400470

Stochastic Processes

P4+5 | 8EC | X_400339

Time series

P4+5 | 8EC | X_400571

Compulsary choice 2 out of 9

##### Description

At least two advanced courses in A&G: usually taken in the second year

of the Master. These courses may change from year to year. In 2017/18

these are

of the Master. These courses may change from year to year. In 2017/18

these are

Course Name | Period | Credits | Code |
---|---|---|---|

Advanced Algebraic Geometry | P1+2 | 8EC | X_418083 |

Algebraic Geometry 2 | P4+5 | 8EC | XMM_40002 |

Algebraic Topology 2 | P4+5 | 8EC | XMM_0017 |

Mathematics Biomedical Mathematics track

##### Description

Compulsory courses for the Biomedial Mathematics Track (61 EC):

• Master Project Mathematics (36 EC)

• Compulsory choice one out of two:

- Master Seminar in Analysis and Dynamical Systems (6 EC)

- Master Seminar in Stochastics (6 EC)

• Scientific Writing in English (3 EC)

• Dynamical Systems (8 EC)

• Statistical Models (6 EC)

• Mathematical Biology (8 EC, 2017/18)

For the remaining 59 EC:

• At least 30 EC courses in Life Sciences.

• At least 20 EC courses in Mathematics, from the Mastermath program or

from the local VU or UvA programs.

• At most 9 EC of electives outside of Mathematics.

• Master Project Mathematics (36 EC)

• Compulsory choice one out of two:

- Master Seminar in Analysis and Dynamical Systems (6 EC)

- Master Seminar in Stochastics (6 EC)

• Scientific Writing in English (3 EC)

• Dynamical Systems (8 EC)

• Statistical Models (6 EC)

• Mathematical Biology (8 EC, 2017/18)

For the remaining 59 EC:

• At least 30 EC courses in Life Sciences.

• At least 20 EC courses in Mathematics, from the Mastermath program or

from the local VU or UvA programs.

• At most 9 EC of electives outside of Mathematics.

Compulsory Choice

Complexity Theory

| 8EC | XMM_0006

Advanced Machine Learning

P1 | 6EC | XM_0010

Advanced Algebraic Geometry

P1+2 | 8EC | X_418083

Algebraic Geometry 1

P1+2 | 8EC | XMM_40001

Algebraic Number Theory

P1+2 | 8EC | X_400324

Algebraic Topology

P1+2 | 8EC | X_400600

Applied Stochastic Modeling

P1+2 | 6EC | X_400392

Asymptotic Statistics

P1+2 | 8EC | X_400323

Commutative Algebra

P1+2 | 8EC | X_418136

Continuous Optimization

P1+2 | 6EC | X_400446

Control of Infinite Dimensional Systems

P1+2 | 6EC | XM_0053

Cryptology

P1+2 | 5EC | XMM_40006

Differential Geometry

P1+2 | 8EC | X_400509

Discrete Optimization

P1+2 | 6EC | X_400445

Forensic Probability and Statistics

P1+2 | 8EC | XMM_0005

Functional Analysis

P1+2 | 8EC | X_400328

Heuristic Methods in Operations Research

P1+2 | 6EC | X_418006

Interest Rate Models

P1+2 | 6EC | X_418091

Machine Learning Theory

P1+2 | 8EC | XMM_0002

Measure Theoretical Probability

P1+2 | 8EC | X_400244

Numerical Linear Algebra

P1+2 | 8EC | X_400329

Parallel Algorithms

P1+2 | 8EC | X_418011

Partial Differential Equations

P1+2 | 8EC | X_400330

Portfolio Theory

P1+2 | 6EC | X_400535

Probabilistic and Extremal Combinatorics

P1+2 | 8EC | X_418118

Quivers

P1+2 | 6EC | XMU_0003

Set Theory

P1+2 | 8EC | X_418035

Simulation Methods in Statistics

P1+2 | 6EC | X_400258

Stochastic Optimization

P1+2 | 6EC | X_400336

Stochastic Processes for Finance

P1+2 | 6EC | X_400352

Stochastic Simulation

P1+2 | 6EC | XMU_0001

Systems and Control

P1+2 | 6EC | X_400332

Coding and Cryptography

P4 | 6EC | X_405041

Advanced Linear Programming

P4+5 | 6EC | X_400326

Algebraic Geometry 2

P4+5 | 8EC | XMM_40002

Algebraic Methods in Combinatorics

P4+5 | 8EC | XMM_40003

Algebraic Topology 2

P4+5 | 8EC | XMM_0017

Applied Analysis: Financial Mathematics

P4+5 | 6EC | X_400076

Applied Finite Elements

P4+5 | 6EC | X_400453

Coding Theory

P4+5 | 8EC | X_418160

Course with no name

P4+5 | 8EC | XMM_0003

Elliptic Curves

P4+5 | 8EC | X_400505

Inverse Problems in Imaging

P4+5 | 8EC | XMM_0004

Lie Groups and Lie Algebras

P4+5 | 8EC | XMM_40008

Nonlinear Waves

P4+5 | 8EC | XMM_40010

Operator Algebras

P4+5 | 8EC | X_418062

Optimization of Business Processes

P4+5 | 6EC | X_400422

Quantum Computing

P4+5 | 8EC | XMM_0013

Queueing Theory

P4+5 | 6EC | X_400397

Queues and Levy Fluctuation Theory

P4+5 | 6EC | XMU_0002

Riemann Surfaces

P4+5 | 8EC | X_400325

Scheduling

P4+5 | 6EC | X_400396

Selected Areas in Cryptology

P4+5 | 8EC | XMM_40011

Spatial Statistics

P4+5 | 6EC | XMM_0001

Statistical Theory for High- and Infinite-Dimensional Statistics

P4+5 | 8EC | XMM_0008

Stochastic Differential Equations

P4+5 | 6EC | X_400454

Stochastic Integration

P4+5 | 8EC | X_400470

Stochastic Processes

P4+5 | 8EC | X_400339

Time series

P4+5 | 8EC | X_400571

Recommended Choice Life Science Courses (30 EC)

Compulsory Choice 1 out of 2

Course Name | Period | Credits | Code |
---|---|---|---|

Master Seminar in Analysis and Dynamical Systems | P1+2, P4+5 | 6EC | XM_41013 |

Master Seminar in Stochastics | P1+2, P4+5 | 6EC | XM_41011 |

Compulsory Courses

Course Name | Period | Credits | Code |
---|---|---|---|

Master Project Mathematics | Ac. Year (sept) | 36EC | X_400355 |

Dynamical Systems | P1+2 | 8EC | X_400429 |

Statistical Models | P1+2 | 6EC | X_400418 |

Scientific Writing in English | P4 | 3EC | X_400512 |

Mathematics Education track

##### Description

The education track consists of mathematical courses and of some central

courses of interest and optional courses within the education profile.

The greater part of the course consists of work experience or a student

placement at a secondary school. Furthermore, the programme contains

several didactical components and a practice-based research project. The

master's thesis consists of a literature survey on an aspect of

mathematical theory.

Content:

• Master Project Mathematics (T,E-track) (24 EC)

• Master Leraar VHO Wiskunde (60 EC)

• Compulsory choice mathematics (24 EC)

• Elective courses (12 EC)

courses of interest and optional courses within the education profile.

The greater part of the course consists of work experience or a student

placement at a secondary school. Furthermore, the programme contains

several didactical components and a practice-based research project. The

master's thesis consists of a literature survey on an aspect of

mathematical theory.

Content:

• Master Project Mathematics (T,E-track) (24 EC)

• Master Leraar VHO Wiskunde (60 EC)

• Compulsory choice mathematics (24 EC)

• Elective courses (12 EC)

Master Leraar VHO Wiskunde vanaf 2015

Praktijk 3 voor 2-jarige Master

Ac. Year (sept) | 15EC | O_M2PRAK3

Didactics 1

P1 | 6EC | O_MLDIDAC_1

Praktice 1

P1 | 6EC | O_MLPRAK_1

Peergroup fase 1

P1+2+3 | 0EC | O_MLPEERGR_1

Didactics 2

P2+3 | 6EC | O_MLDIDAC_2

Praktice 2

P2+3 | 9EC | O_MLPRAK_2

Practical research 1

P3 | 3EC | O_MLPROZ_1

Didactics 3

P4+5+6 | 9EC | O_MLDIDAC_3

Peergroup Fase 2

P4+5+6 | 0EC | O_MLPEERGR_2

Practical research 2

P4+5+6 | 6EC | O_MLPROZ_2

Praktice 3

P4+5+6 | 15EC | O_MLPRAK_3

Recommended Choice (24 EC)

Complexity Theory

| 8EC | XMM_0006

Advanced Machine Learning

P1 | 6EC | XM_0010

Advanced Algebraic Geometry

P1+2 | 8EC | X_418083

Algebraic Geometry 1

P1+2 | 8EC | XMM_40001

Algebraic Number Theory

P1+2 | 8EC | X_400324

Algebraic Topology

P1+2 | 8EC | X_400600

Applied Stochastic Modeling

P1+2 | 6EC | X_400392

Asymptotic Statistics

P1+2 | 8EC | X_400323

Commutative Algebra

P1+2 | 8EC | X_418136

Continuous Optimization

P1+2 | 6EC | X_400446

Control of Infinite Dimensional Systems

P1+2 | 6EC | XM_0053

Cryptology

P1+2 | 5EC | XMM_40006

Differential Geometry

P1+2 | 8EC | X_400509

Discrete Optimization

P1+2 | 6EC | X_400445

Dynamical Systems

P1+2 | 8EC | X_400429

Forensic Probability and Statistics

P1+2 | 8EC | XMM_0005

Functional Analysis

P1+2 | 8EC | X_400328

Heuristic Methods in Operations Research

P1+2 | 6EC | X_418006

Interest Rate Models

P1+2 | 6EC | X_418091

Machine Learning Theory

P1+2 | 8EC | XMM_0002

Measure Theoretical Probability

P1+2 | 8EC | X_400244

Numerical Linear Algebra

P1+2 | 8EC | X_400329

Parallel Algorithms

P1+2 | 8EC | X_418011

Partial Differential Equations

P1+2 | 8EC | X_400330

Portfolio Theory

P1+2 | 6EC | X_400535

Probabilistic and Extremal Combinatorics

P1+2 | 8EC | X_418118

Quivers

P1+2 | 6EC | XMU_0003

Set Theory

P1+2 | 8EC | X_418035

Simulation Methods in Statistics

P1+2 | 6EC | X_400258

Statistical Models

P1+2 | 6EC | X_400418

Stochastic Optimization

P1+2 | 6EC | X_400336

Stochastic Processes for Finance

P1+2 | 6EC | X_400352

Stochastic Simulation

P1+2 | 6EC | XMU_0001

Systems and Control

P1+2 | 6EC | X_400332

Coding and Cryptography

P4 | 6EC | X_405041

Advanced Linear Programming

P4+5 | 6EC | X_400326

Algebraic Geometry 2

P4+5 | 8EC | XMM_40002

Algebraic Methods in Combinatorics

P4+5 | 8EC | XMM_40003

Algebraic Topology 2

P4+5 | 8EC | XMM_0017

Applied Analysis: Financial Mathematics

P4+5 | 6EC | X_400076

Applied Finite Elements

P4+5 | 6EC | X_400453

Coding Theory

P4+5 | 8EC | X_418160

Course with no name

P4+5 | 8EC | XMM_0003

Elliptic Curves

P4+5 | 8EC | X_400505

Inverse Problems in Imaging

P4+5 | 8EC | XMM_0004

Lie Groups and Lie Algebras

P4+5 | 8EC | XMM_40008

Nonlinear Waves

P4+5 | 8EC | XMM_40010

Operator Algebras

P4+5 | 8EC | X_418062

Optimization of Business Processes

P4+5 | 6EC | X_400422

Quantum Computing

P4+5 | 8EC | XMM_0013

Queueing Theory

P4+5 | 6EC | X_400397

Queues and Levy Fluctuation Theory

P4+5 | 6EC | XMU_0002

Riemann Surfaces

P4+5 | 8EC | X_400325

Scheduling

P4+5 | 6EC | X_400396

Selected Areas in Cryptology

P4+5 | 8EC | XMM_40011

Spatial Statistics

P4+5 | 6EC | XMM_0001

Statistical Data Analysis

P4+5 | 6EC | X_401029

Statistical Theory for High- and Infinite-Dimensional Statistics

P4+5 | 8EC | XMM_0008

Statistics for High-Dimensional Data

P4+5 | 6EC | X_405113

Stochastic Differential Equations

P4+5 | 6EC | X_400454

Stochastic Integration

P4+5 | 8EC | X_400470

Stochastic Processes

P4+5 | 8EC | X_400339

Time series

P4+5 | 8EC | X_400571

Mathematics Stochastics track

##### Description

Compulsory courses for the Stochastics Track (69 EC):

• Master Project Mathematics (36 EC)

• Asymptotic Statistics (8 EC)

• Measure Theoretic Probability (8 EC)

• Stochastic Processes (8 EC)

• Master Seminar in Stochastics (6 EC)

• Scientific Writing in English (3 EC)

For the remaining 51 EC:

Students in the Stochastics Track must choose 2 advanced courses from

the list below. Besides these courses they may choose elective

Mathematics courses from the Mastermath program (excluding the

Mastermath teacher courses) or from the local VU and UvA programs (for

these local courses, see the lists below). Some (nonbinding) suggestions

are made in the list below. In addition they may choose 15 EC of

electives outside of Mathematics.

• Master Project Mathematics (36 EC)

• Asymptotic Statistics (8 EC)

• Measure Theoretic Probability (8 EC)

• Stochastic Processes (8 EC)

• Master Seminar in Stochastics (6 EC)

• Scientific Writing in English (3 EC)

For the remaining 51 EC:

Students in the Stochastics Track must choose 2 advanced courses from

the list below. Besides these courses they may choose elective

Mathematics courses from the Mastermath program (excluding the

Mastermath teacher courses) or from the local VU and UvA programs (for

these local courses, see the lists below). Some (nonbinding) suggestions

are made in the list below. In addition they may choose 15 EC of

electives outside of Mathematics.

Suggested elective Courses (24 elective ec)

Complexity Theory

| 8EC | XMM_0006

Advanced Machine Learning

P1 | 6EC | XM_0010

Advanced Algebraic Geometry

P1+2 | 8EC | X_418083

Algebraic Geometry 1

P1+2 | 8EC | XMM_40001

Algebraic Number Theory

P1+2 | 8EC | X_400324

Algebraic Topology

P1+2 | 8EC | X_400600

Applied Stochastic Modeling

P1+2 | 6EC | X_400392

Commutative Algebra

P1+2 | 8EC | X_418136

Continuous Optimization

P1+2 | 6EC | X_400446

Control of Infinite Dimensional Systems

P1+2 | 6EC | XM_0053

Cryptology

P1+2 | 5EC | XMM_40006

Differential Geometry

P1+2 | 8EC | X_400509

Discrete Optimization

P1+2 | 6EC | X_400445

Dynamical Systems

P1+2 | 8EC | X_400429

Forensic Probability and Statistics

P1+2 | 8EC | XMM_0005

Functional Analysis

P1+2 | 8EC | X_400328

Heuristic Methods in Operations Research

P1+2 | 6EC | X_418006

Interest Rate Models

P1+2 | 6EC | X_418091

Machine Learning Theory

P1+2 | 8EC | XMM_0002

Numerical Linear Algebra

P1+2 | 8EC | X_400329

Parallel Algorithms

P1+2 | 8EC | X_418011

Partial Differential Equations

P1+2 | 8EC | X_400330

Portfolio Theory

P1+2 | 6EC | X_400535

Probabilistic and Extremal Combinatorics

P1+2 | 8EC | X_418118

Quivers

P1+2 | 6EC | XMU_0003

Set Theory

P1+2 | 8EC | X_418035

Simulation Methods in Statistics

P1+2 | 6EC | X_400258

Statistical Models

P1+2 | 6EC | X_400418

Stochastic Optimization

P1+2 | 6EC | X_400336

Stochastic Processes for Finance

P1+2 | 6EC | X_400352

Stochastic Simulation

P1+2 | 6EC | XMU_0001

Systems and Control

P1+2 | 6EC | X_400332

Coding and Cryptography

P4 | 6EC | X_405041

Advanced Linear Programming

P4+5 | 6EC | X_400326

Algebraic Geometry 2

P4+5 | 8EC | XMM_40002

Algebraic Methods in Combinatorics

P4+5 | 8EC | XMM_40003

Algebraic Topology 2

P4+5 | 8EC | XMM_0017

Applied Analysis: Financial Mathematics

P4+5 | 6EC | X_400076

Applied Finite Elements

P4+5 | 6EC | X_400453

Coding Theory

P4+5 | 8EC | X_418160

Course with no name

P4+5 | 8EC | XMM_0003

Elliptic Curves

P4+5 | 8EC | X_400505

Lie Groups and Lie Algebras

P4+5 | 8EC | XMM_40008

Nonlinear Waves

P4+5 | 8EC | XMM_40010

Operator Algebras

P4+5 | 8EC | X_418062

Optimization of Business Processes

P4+5 | 6EC | X_400422

Quantum Computing

P4+5 | 8EC | XMM_0013

Queueing Theory

P4+5 | 6EC | X_400397

Queues and Levy Fluctuation Theory

P4+5 | 6EC | XMU_0002

Riemann Surfaces

P4+5 | 8EC | X_400325

Scheduling

P4+5 | 6EC | X_400396

Selected Areas in Cryptology

P4+5 | 8EC | XMM_40011

Spatial Statistics

P4+5 | 6EC | XMM_0001

Statistical Data Analysis

P4+5 | 6EC | X_401029

Statistical Theory for High- and Infinite-Dimensional Statistics

P4+5 | 8EC | XMM_0008

Statistics for Networks

P4+5 | 6EC | X_405110

Stochastic Differential Equations

P4+5 | 6EC | X_400454

Stochastic Integration

P4+5 | 8EC | X_400470

Time series

P4+5 | 8EC | X_400571

Compulsory Choice 2 out of 8 Advanced Courses Stochastics

Compulsory Courses

Master Project Mathematics

Ac. Year (sept) | 36EC | X_400355

Asymptotic Statistics

P1+2 | 8EC | X_400323

Measure Theoretical Probability

P1+2 | 8EC | X_400244

Master Seminar in Stochastics

P1+2, P4+5 | 6EC | XM_41011

Scientific Writing in English

P4 | 3EC | X_400512

Stochastic Processes

P4+5 | 8EC | X_400339

Mathematics Teachers track

##### Description

Samenstelling programma Teachers-Track:

- 60 EC lerarenopleiding (in de regel wordt 30 EC vrijgesteld, tenzij de

2e graads bevoegdheid meer dan 6 jaar geleden behaald is en in de

tussentijd geen onderwijservaring is opgedaan)

- 24 EC uit lijst Wiskunde (XM_MAT_T_K)

- 24 EC masterscriptie

- 42 EC verplichte vakken, zie onderstaande tabel (XM_MAT_T_V1)

- 60 EC lerarenopleiding (in de regel wordt 30 EC vrijgesteld, tenzij de

2e graads bevoegdheid meer dan 6 jaar geleden behaald is en in de

tussentijd geen onderwijservaring is opgedaan)

- 24 EC uit lijst Wiskunde (XM_MAT_T_K)

- 24 EC masterscriptie

- 42 EC verplichte vakken, zie onderstaande tabel (XM_MAT_T_V1)

Compulsory Choice

Complexity Theory

| 8EC | XMM_0006

Advanced Machine Learning

P1 | 6EC | XM_0010

Advanced Algebraic Geometry

P1+2 | 8EC | X_418083

Algebraic Geometry 1

P1+2 | 8EC | XMM_40001

Algebraic Number Theory

P1+2 | 8EC | X_400324

Algebraic Topology

P1+2 | 8EC | X_400600

Applied Stochastic Modeling

P1+2 | 6EC | X_400392

Asymptotic Statistics

P1+2 | 8EC | X_400323

Commutative Algebra

P1+2 | 8EC | X_418136

Continuous Optimization

P1+2 | 6EC | X_400446

Control of Infinite Dimensional Systems

P1+2 | 6EC | XM_0053

Cryptology

P1+2 | 5EC | XMM_40006

Differential Geometry

P1+2 | 8EC | X_400509

Discrete Optimization

P1+2 | 6EC | X_400445

Dynamical Systems

P1+2 | 8EC | X_400429

Forensic Probability and Statistics

P1+2 | 8EC | XMM_0005

Functional Analysis

P1+2 | 8EC | X_400328

Heuristic Methods in Operations Research

P1+2 | 6EC | X_418006

Interest Rate Models

P1+2 | 6EC | X_418091

Machine Learning Theory

P1+2 | 8EC | XMM_0002

Measure Theoretical Probability

P1+2 | 8EC | X_400244

Numerical Linear Algebra

P1+2 | 8EC | X_400329

Parallel Algorithms

P1+2 | 8EC | X_418011

Partial Differential Equations

P1+2 | 8EC | X_400330

Portfolio Theory

P1+2 | 6EC | X_400535

Probabilistic and Extremal Combinatorics

P1+2 | 8EC | X_418118

Quivers

P1+2 | 6EC | XMU_0003

Set Theory

P1+2 | 8EC | X_418035

Simulation Methods in Statistics

P1+2 | 6EC | X_400258

Statistical Models

P1+2 | 6EC | X_400418

Stochastic Optimization

P1+2 | 6EC | X_400336

Stochastic Processes for Finance

P1+2 | 6EC | X_400352

Stochastic Simulation

P1+2 | 6EC | XMU_0001

Systems and Control

P1+2 | 6EC | X_400332

Coding and Cryptography

P4 | 6EC | X_405041

Advanced Linear Programming

P4+5 | 6EC | X_400326

Algebraic Geometry 2

P4+5 | 8EC | XMM_40002

Algebraic Methods in Combinatorics

P4+5 | 8EC | XMM_40003

Algebraic Topology 2

P4+5 | 8EC | XMM_0017

Applied Analysis: Financial Mathematics

P4+5 | 6EC | X_400076

Applied Finite Elements

P4+5 | 6EC | X_400453

Coding Theory

P4+5 | 8EC | X_418160

Elliptic Curves

P4+5 | 8EC | X_400505

Inverse Problems in Imaging

P4+5 | 8EC | XMM_0004

Lie Groups and Lie Algebras

P4+5 | 8EC | XMM_40008

Nonlinear Waves

P4+5 | 8EC | XMM_40010

Operator Algebras

P4+5 | 8EC | X_418062

Optimization of Business Processes

P4+5 | 6EC | X_400422

Quantum Computing

P4+5 | 8EC | XMM_0013

Queueing Theory

P4+5 | 6EC | X_400397

Queues and Levy Fluctuation Theory

P4+5 | 6EC | XMU_0002

Riemann Surfaces

P4+5 | 8EC | X_400325

Scheduling

P4+5 | 6EC | X_400396

Selected Areas in Cryptology

P4+5 | 8EC | XMM_40011

Spatial Statistics

P4+5 | 6EC | XMM_0001

Statistical Data Analysis

P4+5 | 6EC | X_401029

Statistical Theory for High- and Infinite-Dimensional Statistics

P4+5 | 8EC | XMM_0008

Statistics for High-Dimensional Data

P4+5 | 6EC | X_405113

Stochastic Differential Equations

P4+5 | 6EC | X_400454

Stochastic Integration

P4+5 | 8EC | X_400470

Stochastic Processes

P4+5 | 8EC | X_400339

Time series

P4+5 | 8EC | X_400571

Compulsory Courses

Master Project Mathematics (T,E track)

Ac. Year (sept) | 24EC | X_405037

Dynamical Systems

P1+2 | 6EC | X_400637

Measure Theory

P1+2 | 6EC | X_401028

Statistics

P1+2 | 6EC | X_400004

Complexe Analyse

P4+5 | 6EC | X_400386

Numerical Methods

P4+5 | 6EC | X_401039

Statistical Data Analysis

P4+5 | 6EC | X_401029