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This entry is from Winter semester 2018/19 and might be obsolete. No current equivalent could be found.

LAaG Mathematics — Advanced Modules

Modules totaling 48 LP must be completed in this area of study. The modules Elementary Stochastics, Algebra, Didactics of Algebra, Geometry, Didactics of Geometry and ProfiWerk Mathematik are mandatory.

In addition, a small advanced module (with 6 LP) and a large advanced module (with 9 LP) must be selected, of which at least one must be completed in Pure Mathematics. Various elective modules are credited as these advanced modules respectively: Modules that can be brought in for the advanced module in Pure Mathematics or in Applied Mathematics are marked with an "R" or with an "A", respectively.

List of modules in this area of study:

Sorted: alphabetical, by classification, by level and CP

• Algebra (Advanced module, 9 CP)
• Algebraic Equations and Varieties (Specialization module, 9 CP, R)
• Algebraic Geometry: Advanced Methods (Specialization module, 9 CP, R)
• Algebraic Geometry: Projective Varieties (Specialization module, 9 CP, R)
• Algebraic Lie Theory (Specialization module, 9 CP, R)
• Algebraic Topology (Specialization module, 9 CP, R)
• Analytic Number Theory (Specialization module, 9 CP, R)
• Applied Functional Analysis (Specialization module, 9 CP, A)
• Approximation Theory (Specialization module, 9 CP, A)
• Combinatorics (Large Specialization Module) (Specialization module, 9 CP, R)
• Commutative Algebra (Large Specialization Module) (Specialization module, 9 CP, R)
• Complex Analysis (Advanced module, 9 CP, R)
• Complex Analysis and Vector Analysis (Advanced module, 9 CP, R)
• Differential Geometry I (Specialization module, 9 CP, R)
• Differential Geometry II (Specialization module, 9 CP, R)
• Discrete Mathematics (Advanced module, 9 CP, R)
• Elementary Algebraic Geometry (Advanced module, 9 CP, R)
• Elementary Stochastics (Advanced module, 9 CP)
• Functional Analysis (Specialization module, 9 CP, R)
• Galois Theory (Specialization module, 9 CP, R)
• Geometry (Advanced module, 3 CP)
• Holomorphic Functions and Abelian Varieties (Specialization module, 9 CP, R)
• Introduction to Complex Geometry (Specialization module, 9 CP, R)
• Lie Groups and Lie Algebras (Advanced module, 9 CP, R)
• Linear Optimization (Advanced module, 9 CP, A)
• Mathematical Statistics (Specialization module, 9 CP, A)
• Mathematics Education: Teaching Algebra (Advanced module, 3 CP)
• Mathematics Education: Teaching Geometry (Advanced module, 3 CP)
• Noncommutative Algebra (Specialization module, 9 CP, R)
• Nonlinear Optimization (Specialization module, 9 CP, A)
• Number Theory (Advanced module, 9 CP, R)
• Numerical Analysis (Advanced module, 9 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)
• 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)
• Spectral and Scattering Theory (Specialization module, 9 CP, R)
• Stochastical Analysis (Specialization module, 9 CP, A)
• Topology (Advanced module, 9 CP, R)

Please note:

This page applies to the most current examination regulations in Winter semester 2018/19. 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
• 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 (no corresponding element)

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.