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This entry is from Winter semester 2021/22 and might be obsolete. No current equivalent could be found.

B.Sc. Mathematics — Compulsory Elective Modules in Mathematics

Modules totaling 48 LP are to be selected in this area of study. At least one module each in Pure Mathematics (marked with an "R") and in Applied Mathematics (marked with an "A") must be completed. In addition, a maximum of three specialization modules may be completed.

List of modules in this area of study:

Sorted: alphabetical, by classification, by level and CP

Advanced module, 6 CP

• Discrete Geometry (Advanced module, 6 CP, R)
• Elementary Topology (Advanced module, 6 CP, R)
• Financial Mathematics I (Advanced module, 6 CP, A)
• Small Advanced Module Algebra/Number Theory/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)
• Statistics (Advanced module, 6 CP, A)

Advanced module, 9 CP

• Discrete Mathematics (Advanced module, 9 CP, R)
• Elementary Algebraic Geometry (Advanced module, 9 CP, R)
• Elementary Stochastics (Advanced module, 9 CP, A)
• Large Advanced Module Algebra/Number Theory/Geometry (Advanced module, 9 CP, R)
• Large Advanced Module Analysis/Topology (Advanced module, 9 CP, R)
• Large Advanced Module Numerical Mathematics/Optimization (Advanced module, 9 CP, A)
• Large Advanced Module Stochastics (Advanced module, 9 CP, A)
• Lie Groups and Lie Algebras (Advanced module, 9 CP, R)
• Linear Optimization (Advanced module, 9 CP, A)
• Mathematical Data Analysis (Advanced module, 9 CP, A)
• Number Theory (Advanced module, 9 CP, R)
• Representation Theory (Advanced module, 9 CP, R)
• Topology (Advanced module, 9 CP, R)

Specialization module, 3 CP

• Actuary Science: Mathematics of Indemnity Insurance (Specialization module, 3 CP, A)
• Actuary Science: Risc Theory (Specialization module, 3 CP, A)
• Asymptotical Statistics (Specialization module, 3 CP, A)
• Mathematics of Personal Insurance: Health Insurance (Specialization module, 3 CP, A)
• Mathematics of Personal Insurance: Life Insurance (Specialization module, 3 CP, A)
• Selected Topics on Financial Mathematics (Specialization module, 3 CP, A)
• Small Specialization Module Stochastics without Tutorial (Specialization module, 3 CP, A)

Specialization module, 6 CP

• Adaptive Numerical Methods for Operator Equations (Specialization module, 6 CP, A)
• Algebraic Topology (Small Specialization Module) (Specialization module, 6 CP, R)
• Applied Algebraic Geometry (Small Specialization Module) (Specialization module, 6 CP, R)
• Combinatorics (Small Specialization Module) (Specialization module, 6 CP, R)
• Commutative Algebra (Small Specialization Module) (Specialization module, 6 CP, R)
• Compressive Sensing (Specialization module, 6 CP, A)
• Computer Aided Geometric Design (Specialization module, 6 CP, A)
• Extreme Value Theory (Specialization module, 6 CP, A)
• Financial Mathematics II (Specialization module, 6 CP, A)
• Financial Optimization (Specialization module, 6 CP, A)
• Finite Frames (Specialization module, 6 CP, A)
• High-dimensional Statistics (Specialization module, 6 CP, A)
• Non-smooth Optimization (Specialization module, 6 CP, A)
• Nonparametric Statistics (Specialization module, 6 CP, A)
• Numerical Solution Methods for Elliptical Partial Differential Equations (Specialization module, 6 CP, A)
• Quantitative Risk Management (Specialization module, 6 CP, A)
• Regularity Theory of Elliptic Partial Differential Equations (Specialization module, 6 CP, A)
• Small Specialization Module Algebra/Number Theory/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 Optimization (Specialization module, 6 CP, A)
• Small Specialization Module Stochastics (Specialization module, 6 CP, A)
• Special Methods for Initial Value Problems (Specialization module, 6 CP, A)
• Stochastic Optimization (Specialization module, 6 CP, A)
• Stochastic Processes (Specialization module, 6 CP, A)
• Time Series Analysis (Specialization module, 6 CP, A)
• Wavelet Analysis I (Specialization module, 6 CP, A)
• Wavelet Analysis II (Specialization module, 6 CP, A)

Specialization 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)
• Differential Geometry I (Specialization module, 9 CP, R)
• Differential Geometry II (Specialization module, 9 CP, R)
• Fourier Integral Operators (Specialization module, 9 CP, R)
• Functional Analysis (Specialization module, 9 CP, R)
• Galois Theory (Specialization module, 9 CP, R)
• Holomorphic Functions and Abelian Varieties (Specialization module, 9 CP, R)
• Introduction to Complex Geometry (Specialization module, 9 CP, R)
• Large Specialization Module Algebra/Number Theory/Geometry (Specialization module, 9 CP, R)
• Large Specialization Module Analysis/Topology (Specialization module, 9 CP, R)
• Large Specialization Module Numerical Mathematics/Optimization (Specialization module, 9 CP, A)
• Large Specialization Module Optimization (Specialization module, 9 CP, A)
• Large Specialization Module Stochastics (Specialization module, 9 CP, A)
• Mathematical Statistics (Specialization module, 9 CP, A)
• Noncommutative Algebra (Specialization module, 9 CP, R)
• Nonlinear Optimization (Specialization 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)
• Probabilistic Combinatorics (Specialization module, 9 CP, A)
• Probability Theory (Specialization module, 9 CP, A)
• Spectral and Scattering Theory (Specialization module, 9 CP, R)
• Stochastical Analysis (Specialization module, 9 CP, A)

Please note:

This page applies to the most current examination regulations in Winter semester 2021/22. 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
• 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.