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M.Sc. Computer Science — Profile Area Mathematics

If the profile area Mathematics is chosen, modules amounting to 12 CP must be selected. If the profile area Mathematics (depending on the study and examination regulations) has not yet been taken in the Bachelor's program or corresponding modules have not been completed in the key competence area, advanced modules (from the Bachelor's program offering) must be selected. Otherwise, advanced modules (from the Bachelor's program) or specialization modules (from the Master's program) must be selected. At least one of the modules must be a specialization module.

List of modules in this area of study:

Sorted: alphabetical, by classification, by level and CP

• Algebra (Advanced module, 9 CP)
• Algebraic Geometry: Projective Varieties (Specialization module, 9 CP)
• Algebraic Lie Theory (Specialization module, 9 CP)
• Algebraic Topology I (Specialization module, 9 CP)
• Analytic Number Theory (Specialization module, 9 CP)
• Approximation Theory (Specialization module, 9 CP)
• Commutative Algebra (Large Specialization Module) (Specialization module, 9 CP)
• Commutative Algebra (Small Specialization Module) (Specialization module, 6 CP)
• Complex Analysis and Vector Analysis (Advanced module, 9 CP)
• Differential Geometry I (Specialization module, 9 CP)
• Differential Geometry II (Specialization module, 9 CP)
• Discrete Geometry (Advanced module, 6 CP)
• Discrete Mathematics (Advanced module, 9 CP)
• Elementary Algebraic Geometry (Advanced module, 9 CP)
• Elementary Probability and Statistics (Advanced module, 9 CP)
• Elementary Topology (Advanced module, 6 CP)
• Financial Mathematics I (Advanced module, 6 CP)
• Financial Mathematics II (Specialization module, 6 CP)
• Financial Optimization (Specialization module, 6 CP)
• Functional Analysis (Specialization module, 9 CP)
• Galois Theory (Specialization module, 9 CP)
• Holomorphic Functions and Abelian Varieties (Specialization module, 9 CP)
• Large Advanced Module Algebra/Geometry (Advanced module, 9 CP)
• Large Advanced Module Analysis/Topology (Advanced module, 9 CP)
• Large Advanced Module Numerical Mathematics/Optimization (Advanced module, 9 CP)
• Large Advanced Module Stochastics (Advanced module, 9 CP)
• Large Specialization Module Algebra/Geometry (Specialization module, 9 CP)
• Large Specialization Module Analysis/Topology (Specialization module, 9 CP)
• Large Specialization Module Numerical Mathematics/Optimization (Specialization module, 9 CP)
• Large Specialization Module Stochastics (Specialization module, 9 CP)
• Lie Groups and Lie Algebras (Advanced module, 9 CP)
• Mathematical and Nonparametric Statistics (Specialization module, 9 CP)
• Matrix Methods in Data Analysis (Advanced module, 9 CP)
• Measure and Integration Theory (Advanced module, 6 CP)
• Non-Life Insurance Mathematics (Specialization module, 3 CP)
• Noncommutative Algebra (Specialization module, 9 CP)
• Number Theory (Advanced module, 9 CP)
• Numerical Analysis (Advanced module, 9 CP)
• Numerical Solution Methods for Differential Equations (Specialization module, 9 CP)
• Numerical Solution Methods for Finite Dimensional Problems (Specialization module, 9 CP)
• Partial Differential Equations (Specialization module, 9 CP)
• Probability Theory (Specialization module, 9 CP)
• Quantitative Risk Management (Specialization module, 6 CP)
• Representation Theory (Advanced module, 9 CP)
• Selected Topics in Mathematics A ("Proseminar") (Advanced module, 3 CP)
• Selected Topics in Mathematics B ("Seminar") (Advanced module, 3 CP)
• Selected Topics on Financial Mathematics (Specialization module, 3 CP)
• Small Advanced Module Algebra/Geometry (Advanced module, 6 CP)
• Small Advanced Module Analysis/Topology (Advanced module, 6 CP)
• Small Advanced Module Numerical Mathematicss/Optimization (Advanced module, 6 CP)
• Small Advanced Module Stochastics (Advanced module, 6 CP)
• Small Specialization Module Algebra/Geometry (Specialization module, 6 CP)
• Small Specialization Module Analysis/Topology (Specialization module, 6 CP)
• Small Specialization Module Numerical Mathematics/Optimization (Specialization module, 6 CP)
• Small Specialization Module Stochastics (Specialization module, 6 CP)
• Small Specialization Module Stochastics without Tutorial (Specialization module, 3 CP)
• Statistics (Advanced module, 9 CP)
• Stochastic Processes (Specialization module, 6 CP)
• Stochastical Analysis (Specialization module, 9 CP)

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.