Main content
LAaG Mathematics — Advanced Modules
Modules totaling 48 CP must be completed in this area of study. The modules Elementary Stochastics, Algebra, Mathematics Education: Teaching Algebra, Geometry, Mathematics Education: Teaching Geometry as well as ProfiWerk mathematics are mandatory.
In addition, a small advanced module (with 6 CP) and a large advanced module (with 9 CP) must be selected, of which at least one must be from pure mathematics. Advanced modules in pure mathematics are marked with an "R", advanced modules in applied mathematics are marked with an "A", respectively.
It should be noted that certain elective modules require, in addition to the competencies acquired in the course of study, further competencies that may have to be acquired extracurricularly (in self-study). This particularly concerns the module ''Statistics'' as well as the specialization modules.
List of modules in this area of study:
Sorted: alphabetical, by classification, by level and CP
- Algebra (Advanced module, 9 CP)
- Algebraic Geometry: Introduction (Advanced module, 6 CP, R)
- Algebraic Geometry: Projective Varieties (Specialization module, 9 CP, R)
- Algebraic Lie Theory (Specialization module, 9 CP, R)
- Algebraic Topology I (Specialization module, 9 CP, R)
- Algebras and their Representations (Specialization module, 9 CP, R)
- Analytic Number Theory (Specialization module, 9 CP, R)
- Applied Harmonic Analysis I (Advanced module, 6 CP, A)
- Approximation Theory (Specialization module, 9 CP, A)
- Commutative Algebra (Large Specialization Module) (Specialization module, 9 CP, R)
- Commutative Algebra (Small Specialization Module) (Specialization module, 6 CP, R)
- Complex Analysis (Advanced module, 9 CP, R)
- Complex Analysis and Vector Analysis (Advanced module, 9 CP, R)
- Complex Geometry I (Specialization module, 9 CP, R)
- Continuous Optimization (Advanced module, 9 CP, A)
- Differential Geometry I (Specialization module, 9 CP, R)
- Differential Geometry II (Specialization module, 9 CP, R)
- Discrete Geometry (Advanced module, 6 CP, R)
- Discrete Mathematics (Advanced module, 9 CP, R)
- Elementary Algebraic Geometry (Advanced module, 9 CP, R)
- Elementary Number Theory (Advanced module, 6 CP, R)
- Elementary Stochastics (Advanced module, 9 CP)
- Elementary Topology (Advanced module, 6 CP, R)
- Empirical processes (Specialization module, 6 CP, A)
- Functional Analysis (Specialization module, 9 CP, A&R)
- Galois Theory (Specialization module, 9 CP, R)
- General Relativity (Specialization module, 3 CP, R)
- Geometry for Pre-Service Teachers (Advanced module, 3 CP)
- Group Theory (Advanced module, 6 CP, R)
- Holomorphic Functions and Abelian Varieties (Specialization module, 9 CP, R)
- Hopf Algebras (Specialization module, 9 CP, R)
- Lie Groups and Lie Algebras (Advanced module, 9 CP, R)
- Mathematical and Nonparametric Statistics (Specialization module, 9 CP, A)
- Mathematics Education: Teaching Algebra (Advanced module, 3 CP)
- Mathematics Education: Teaching Geometry (Advanced module, 3 CP)
- Measure and Integration Theory (Advanced module, 6 CP, R)
- Noncommutative Algebra (Specialization module, 9 CP, R)
- Number Theory (Advanced module, 9 CP, R)
- Numerical Analysis (Advanced module, 9 CP, A)
- Numerical Analysis I (Advanced module, 6 CP, A)
- Numerical Methods for Ordinary Differential Equations (Specialization module, 6 CP, A)
- Numerical Solution Methods for Differential Equations (Specialization module, 9 CP, A)
- Numerical Solution Methods for Finite Dimensional Problems (Specialization module, 9 CP, A)
- Operations Research (Advanced module, 9 CP, A)
- Partial Differential Equations (Specialization module, 9 CP, R)
- Probability Theory (Specialization module, 9 CP, A)
- ProfiWerk Mathematics (Advanced module, 6 CP)
- Representation Theory (Advanced module, 9 CP, R)
- Small Advanced Module Algebra/Geometry (Advanced module, 6 CP, R)
- Small Advanced Module Analysis/Topology (Advanced module, 6 CP, R)
- Small Advanced Module Numerical Mathematicss/Optimization (Advanced module, 6 CP, A)
- Small Advanced Module Stochastics (Advanced module, 6 CP, A)
- Small Specialization Module Algebra/Geometry (Specialization module, 6 CP, R)
- Small Specialization Module Analysis/Topology (Specialization module, 6 CP, R)
- Small Specialization Module Numerical Mathematics/Optimization (Specialization module, 6 CP, A)
- Small Specialization Module Stochastics (Specialization module, 6 CP, A)
- Spectral and Scattering Theory (Specialization module, 9 CP, R)
- Statistics (Advanced module, 9 CP, A)
- Stochastical Analysis (Specialization module, 9 CP, A)
- Topological Methods in Data Analysis (Advanced module, 9 CP, A&R)
Please note:
This page applies to the most current examination regulations in Winter semester 2023/24. If you are studying according to an earlier or later examination regulation other provisions may apply:
- Winter 2016/17 (no corresponding element)
- Summer 2018 (no corresponding element)
- Winter 2018/19 (no corresponding element)
- Winter 2019/20 (no corresponding element)
- Winter 2020/21 (no corresponding element)
- Summer 2021 (no corresponding element)
- Winter 2021/22 (no corresponding element)
- Winter 2022/23 (no corresponding element)
- Winter 2023/24
The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.