Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course of Study "Mathematics International" (M.Sc.)

[MAT-88.706-SG]

Department [MAT] Mathematik
Degree [M.Sc.] Master (M.Sc.)
(88)
Course of Study Mathematics International
(706)
State [NORM] Active
Short Name, Number M.Sc. Mathematics International
[MAT-88.706-SG]
Additional informations

Core Modules (non specialised)

Section Pure Mathematics

In this section, modules amounting to 18 - 21 credit points (CP) from the list below are to be successfully completed. With approval of the examination board, other modules from the area of ​​Pure Mathematics may be selectable.

The choice of the modules is limited by the chosen mathematical specialisation:

  • Modules that are directly attributable to the chosen specialisation may not be included in the section "Pure Mathematics".
  • In the sections "Pure Mathematics" and "Applied Mathematics", a total of modules amounting to at least 18 CP must be provided outside the focus area which the specialisation belongs to.
  • When choosing a specialization that is wholly or partially attributable to the field of stochastics (e.g. "Stochastic Analysis", "Financial Mathematics" or "Statistics"), at least 24 CP must be provided in the sections "Pure Mathematics", "Applied Mathematics" and "Specialisation" outside of stochastics.
WP MAT-40-11-M-4
Commutative Algebra
Not possible if the chosen specialisation is "Algebra and Number Theory" or "Algebraic Geometry and Computer Algebra".
in WiSe EN 9.0 CP
WP MAT-40-14-M-4
Cryptography
in SuSe EN 9.0 CP
WP MAT-40-28-M-4
Plane Algebraic Curves
Not possible if the chosen specialisation is "Algebraic Geometry and Computer Algebra".
in SuSe EN 4.5 CP
WP MAT-60-11-M-4
Probability Theory
Not possible if the chosen specialisation is "Financial Mathematics", "Statistics" or "Stochastic Analysis".
in WiSe EN 9.0 CP
WP MAT-70-11-M-4
Functional Analysis
Not possible if the chosen specialisation is "Stochastic Analysis".
in SuSe EN 9.0 CP
WP MAT-80-11B-M-4
Introduction to PDE
Not possible if the chosen specialisation is "Modelling and Scientific Computing", "Partial Differential Equations", or "Systems and Control Theory".
in WiSe EN 4.5 CP
WP MAT-40-24-M-4
p-adic Numbers
Not possible if the chosen specialisation is "Algebra and Number Theory".
irreg. SuSe EN 4.5 CP
WP MAT-40-25-M-4
Character Theory of Finite Groups
Not possible if the chosen specialisation is "Algebra and Number Theory".
irreg. SuSe EN 4.5 CP
WP MAT-40-29-M-4
Quadratic Number Fields
Not possible if the chosen specialisation is "Algebra and Number Theory".
irreg. SuSe EN 4.5 CP
WP MAT-40-16-M-6
Algebraic Topology
irreg. EN 9.0 CP
WP MAT-40-19-M-6
Elliptic Functions and Elliptic Curves
irreg. EN 3.0 CP
WP MAT-40-20-M-6
Multilinear Algebra
irreg. EN 3.0 CP
WP MAT-40-21-M-6
Manifolds
irreg. EN 9.0 CP
WP MAT-40-26-M-6
Riemannian Surfaces
irreg. EN 3.0 CP
WP MAT-40-27-M-6
Elliptic Curves in Positive Characteristics
irreg. EN 3.0 CP
WP MAT-49-11-M-6
Categories
irreg. EN 3.0 CP
WP MAT-49-15-M-6
Introduction to Tensor Categories
irreg. EN 3.0 CP
WP MAT-RM-MPOOL-7
Pure Mathematics (Advanced Modules M.Sc.)
[4.5 - 9.0] CP
Core Modules (non specialised)

Section Applied Mathematics

In this section, modules amounting to 24 - 27 credit points (CP) from the list below are to be successfully completed. With approval of the examination board, other modules from the area of ​​Applied Mathematics may be selectable.

The choice of the modules is limited by the chosen mathematical specialisation:

  • Modules that are directly attributable to the chosen specialisation may not be included in the section "Applied Mathematics".
  • In the sections "Pure Mathematics" and "Applied Mathematics", a total of modules amounting to at least 18 CP must be provided outside the focus area which the specialisation belongs to.
  • When choosing a specialisation that is wholly or partially attributable to the field of stochastics (e.g. "Stochastic Analysis", "Financial Mathematics" or "Statistics"), at least 24 CP must be provided in the sections "Pure Mathematics", "Applied Mathematics" and "Specialisation" outside of stochastics.
WP MAT-40-14-M-4
Cryptography
in SuSe EN 9.0 CP
WP MAT-50-11-M-4
Integer Programming: Polyhedral Theory and Algorithms
Not possible if the chosen specialisation is "Optimisation".
in WiSe EN 9.0 CP
WP MAT-50-12-M-4
Nonlinear Optimization
Not possible if the chosen specialisation is "Optimisation".
in SuSe EN 9.0 CP
WP MAT-60-11-M-4
Probability Theory
Not possible if the chosen specialisation is "Financial Mathematics", "Statistics" or "Stochastic Analysis".
in WiSe EN 9.0 CP
WP MAT-60-12-M-4
Regression and Time Series Analysis
Not possible if the chosen specialisation is "Financial Mathematics" or "Statistics".
in SuSe EN 9.0 CP
WP MAT-60-14-M-6
Monte Carlo Algorithms
Not possible if the chosen specialisation is "Financial Mathematics" or "Statistics".
irreg. SuSe EN 9.0 CP
WP MAT-60-15-M-4
Foundations in Financial Mathematics
Not possible if the chosen specialisation is "Financial Mathematics" or "Statistics".
in SuSe DE 3.0 CP
WP MAT-70-11-M-4
Functional Analysis
Not possible if the chosen specialisation is "Stochastic Analysis".
in SuSe EN 9.0 CP
WP MAT-80-11-M-4
Differential Equations: Numerics of ODE & Introduction to PDE
Not possible if the chosen specialisation is "Modelling and Scientific Computing", "Partial Differential Equations", or "Systems and Control Theory".
in WiSe EN 9.0 CP
WP MAT-80-11A-M-4
Numerics of ODE
Not possible if the chosen specialisation is "Modelling and Scientific Computing", "Partial Differential Equations", or "Systems and Control Theory".
in WiSe EN 4.5 CP
WP MAT-80-11B-M-4
Introduction to PDE
Not possible if the chosen specialisation is "Modelling and Scientific Computing", "Partial Differential Equations", or "Systems and Control Theory".
in WiSe EN 4.5 CP
WP MAT-80-12A-M-4
Introduction to Systems and Control Theory
Not possible if the chosen specialisation is "Modelling and Scientific Computing" or "Systems and Control Theory".
in SuSe EN 4.5 CP
WP MAT-59-14-M-6
Mathematics of Quantum Computing
irreg. EN 4.5 CP
WP MAT-65-10-M-4
Foundations in Mathematical Image Processing
Not possible if the chosen specialisation is "Image Processing and Data Analysis".
irreg. EN 9.0 CP
WP MAT-80-17-M-6
Dynamical Systems
Not possible if the chosen specialisation is "Modelling and Scientific Computing".
irreg. SuSe EN 4.5 CP
WP MAT-80-18-M-4
Introduction to Systems and Control Theory & Dynamical Systems
Not possible if the chosen specialisation is "Modelling and Scientific Computing" or "Systems and Control Theory".
irreg. SuSe EN 9.0 CP
WP MAT-81-23-M-4
Differential-Algebraic Equations
Not possible if the chosen specialisation is "Modelling and Scientific Computing".
irreg. SuSe EN 4.5 CP
WP INF-14-56-M-6
Optimization in Fluid Mechanics
irreg. SuSe EN 4.5 CP
WP INF-14-55-M-6
Topology Optimization
irreg. SuSe DE/EN 4.5 CP
WP MAT-70-10-M-6
Spline Functions
irreg. EN 3.0 CP
WP MAT-80-13A-M-4
Introduction to Neural Networks
Not possible if the chosen specialisation is "Modelling and Scientific Computing" or "Systems and Control Theory".
irreg. EN 4.5 CP
WP MAT-80-12-M-6
Systems and Control Theory
Not possible if the chosen specialisation is "Modelling and Scientific Computing" or "Systems and Control Theory".
2 Sem. from irreg. EN 9.0 CP
WP MAT-AM-MPOOL-7
Applied Mathematics (Advanced Modules M.Sc.)
[4.5 - 13.5] CP
Specialisation

Section Specialisation

In this section, modules amounting to 24 - 28 credit points (CP) from the module catalogue for the chosen specialisation (see below) have to be completed .

In addition, reading courses amounting to 12 CP have to be completed. The latter usually take place with semester-changing topics that are often based on current mathematical research. Towards the end of the lecture period of each semester, the reading courses offered in the following semester for the respective specialisation areas will be presented as part of the information sessions of the individual research focuses.

Modules associated to lectures (with or without exercise classes)
WP MAT-43-MPOOL-7
Specialisation Algebra and Number Theory (M.Sc.)
[4.5 - 9.0] CP
WP MAT-41-MPOOL-7
Specialisation Algebraic Geometry and Computer Algebra (M.Sc.)
[4.5 - 9.0] CP
WP MAT-52-MPOOL-7
Specialisation Mathematical Optimisation (M.Sc.)
[4.5 - 9.0] CP
WP MAT-61-MPOOL-7
Specialisation Financial Mathematics (M.Sc.)
[4.5 - 13.5] CP
WP MAT-62-MPOOL-7
Specialisation Statistics (M.Sc.)
[4.5 - 9.0] CP
WP MAT-65-MPOOL-7
Specialisation Image Processing and Data Analysis (M.Sc.)
[4.5 - 9.0] CP
WP MAT-70-MPOOL-7
Specialisation Stochastic Analysis (M.Sc.)
[4.5 - 13.5] CP
WP MAT-8x-MPOOL-7
Specialisation Modelling and Scientific Computing (M.Sc.)
[4.5 - 9.0] CP
WP MAT-81-MPOOL-7
Specialisation Partial Differential Equations (M.Sc.)
[4.5 - 9.0] CP
WP MAT-82-MPOOL-7
Specialisation Systems and Control Theory (M.Sc.)
[4.5 - 9.0] CP
Reading Courses
P MAT-RC-M-7
Reading Course (Mathematics)
in WiSe/SuSe DE/EN 12.0 CP
Core Modules (non specialised)

Section Seminare

In this section, two seminars must be selected, at least one of which must be on a topic from the chosen mathematical specialisation.
P MAT-VSEM-M-7
Seminar (Mathematical Specialisation)
in WiSe/SuSe DE/EN 3.0 CP
P MAT-SEM-M-7
Seminar (Mathematics)
in WiSe/SuSe DE/EN 3.0 CP
Thesis

Section Master Thesis

P MAT-MA-MAT-M-7
Master Thesis (Mathematics, M.Sc.)
in WiSe/SuSe DE/EN 30.0 CP
Subsidiary Topic

Section Non-mathematical Elective

In the non-mathematical elective, elective modules amounting to 6 - 8 credit points (CP) must be completed, which promote the outer-mathematical qualification. The grades of these modules are not included in the calculation of the overall grade of the Master's examination.

Recommended are language courses, internships abroad or modules from non-mathematical subsidiary topics (minors) of the other mathematical study programmes are recommended. In the case of language courses, evidence must be provided by an examination recognised by a university or equivalent achievements.

If modules from other study programmes at TU Kaiserslautern are included, the achievements to be provided can be found in the examination regulations of the corresponding study programmes.