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B.Sc. Mathematik — Index Sorted by Level and Credit Points

Basic module, 3 CP

Basic Mathematical Knowledge I (Basic Modules in Mathematics )
Basic Mathematical Knowledge II (Basic Modules in Mathematics )
Mathematics Learning Support Center II (Basic Modules in Mathematics )
Mathematics Learning Support Center III (Basic Modules in Mathematics )

Basic module, 6 CP

Foundations of Mathematics (Basic Modules in Mathematics )
Learning Academic Mathematics I (Basic Modules in Mathematics )
Learning Academic Mathematics II (Basic Modules in Mathematics )
Mathematics Learning Support Center I (Basic Modules in Mathematics )

Basic module, 9 CP

Algorithms and Data Structures (Basic Modules in Computer Science )
Analysis I (Basic Modules in Mathematics )
Analysis II (Basic Modules in Mathematics )
Declarative Programming (Basic Modules in Computer Science )
Linear Algebra I (Basic Modules in Mathematics )
Linear Algebra II (Basic Modules in Mathematics )
Object-oriented Programming (Basic Modules in Computer Science )

Advanced module, 3 CP

Personal Insurance Mathematics (Compulsory Elective Modules in Mathematics )
Selected Topics in Mathematics A ("Proseminar") (Continuing Modules in Mathematics (Core Subjects) )
Selected Topics in Mathematics B ("Seminar") (Compulsory Elective Modules in Mathematics )
Selected Topics in Mathematics C ("Seminar") (Compulsory Elective Modules in Mathematics )

Advanced module, 6 CP

Algebraic Geometry: Introduction (Compulsory Elective Modules in Mathematics )
Applied Harmonic Analysis I (Compulsory Elective Modules in Mathematics )
Discrete Geometry (Compulsory Elective Modules in Mathematics )
Elementary Number Theory (Compulsory Elective Modules in Mathematics )
Elementary Topology (Compulsory Elective Modules in Mathematics )
Financial Mathematics I (Compulsory Elective Modules in Mathematics )
Group Theory (Compulsory Elective Modules in Mathematics )
Introduction to Cryptography and its Applications (Compulsory Elective Modules in Mathematics )
Measure and Integration Theory (Continuing Modules in Mathematics (Core Subjects) )
Numerical Analysis I (Compulsory Elective Modules in Mathematics )
Optimization I (Compulsory Elective Modules in Mathematics )
Small Advanced Module Algebra/Geometry (Compulsory Elective Modules in Mathematics )
Small Advanced Module Analysis/Topology (Compulsory Elective Modules in Mathematics )
Small Advanced Module Numerical Mathematicss/Optimization (Compulsory Elective Modules in Mathematics )
Small Advanced Module Stochastics (Compulsory Elective Modules in Mathematics )

Advanced module, 9 CP

Algebra (Continuing Modules in Mathematics (Core Subjects) )
Complex Analysis and Vector Analysis (Continuing Modules in Mathematics (Core Subjects) )
Continuous Optimization (Compulsory Elective Modules in Mathematics )
Discrete Mathematics (Compulsory Elective Modules in Mathematics )
Efficient Algorithms (Compulsory Elective Modules in Mathematics )
Elementary Algebraic Geometry (Compulsory Elective Modules in Mathematics )
Elementary Probability and Statistics (Continuing Modules in Mathematics (Core Subjects) )
Large Advanced Module Algebra/Geometry (Compulsory Elective Modules in Mathematics )
Large Advanced Module Analysis/Topology (Compulsory Elective Modules in Mathematics )
Large Advanced Module Numerical Mathematics/Optimization (Compulsory Elective Modules in Mathematics )
Large Advanced Module Stochastics (Compulsory Elective Modules in Mathematics )
Lie Groups and Lie Algebras (Compulsory Elective Modules in Mathematics )
Matrix Methods in Data Analysis (Compulsory Elective Modules in Mathematics )
Number Theory (Compulsory Elective Modules in Mathematics )
Numerical Analysis (Continuing Modules in Mathematics (Core Subjects) )
Operations Research (Compulsory Elective Modules in Mathematics )
Representation Theory (Compulsory Elective Modules in Mathematics )
Statistics (Compulsory Elective Modules in Mathematics )
Topological Methods in Data Analysis (Compulsory Elective Modules in Mathematics )

Specialization module, 3 CP

General Relativity (Compulsory Elective Modules in Mathematics )
Non-Life Insurance Mathematics (Compulsory Elective Modules in Mathematics )
Selected Topics on Financial Mathematics (Compulsory Elective Modules in Mathematics )
Small Specialization Module Stochastics without Tutorial (Compulsory Elective Modules in Mathematics )
Special Topics of Insurance Mathematics (Compulsory Elective Modules in Mathematics )

Specialization module, 6 CP

Algebraic Topology II (Small Specialization Module) (Compulsory Elective Modules in Mathematics )
Applied Harmonic Analysis II (Compulsory Elective Modules in Mathematics )
Commutative Algebra (Small Specialization Module) (Compulsory Elective Modules in Mathematics )
Empirical processes (Compulsory Elective Modules in Mathematics )
Financial Mathematics II (Compulsory Elective Modules in Mathematics )
Financial Optimization (Compulsory Elective Modules in Mathematics )
High-dimensional Statistics and Machine Learning (Compulsory Elective Modules in Mathematics )
Numerical Analysis II (Compulsory Elective Modules in Mathematics )
Numerical Methods for Ordinary Differential Equations (Compulsory Elective Modules in Mathematics )
Optimization II (Compulsory Elective Modules in Mathematics )
Quantitative Risk Management (Compulsory Elective Modules in Mathematics )
Selected Topics in Numerical Analysis (Compulsory Elective Modules in Mathematics )
Small Specialization Module Algebra/Geometry (Compulsory Elective Modules in Mathematics )
Small Specialization Module Analysis/Topology (Compulsory Elective Modules in Mathematics )
Small Specialization Module Numerical Mathematics/Optimization (Compulsory Elective Modules in Mathematics )
Small Specialization Module Stochastics (Compulsory Elective Modules in Mathematics )
Stochastic Processes (Compulsory Elective Modules in Mathematics )

Specialization module, 9 CP

Algebraic Geometry: Modern Methods (Compulsory Elective Modules in Mathematics )
Algebraic Geometry: Projective Varieties (Compulsory Elective Modules in Mathematics )
Algebraic Lie Theory (Compulsory Elective Modules in Mathematics )
Algebraic Topology I (Compulsory Elective Modules in Mathematics )
Algebraic Topology II (Large Specialization Module) (Compulsory Elective Modules in Mathematics )
Algebras and their Representations (Compulsory Elective Modules in Mathematics )
Analytic Number Theory (Compulsory Elective Modules in Mathematics )
Approximation Theory (Compulsory Elective Modules in Mathematics )
Commutative Algebra (Large Specialization Module) (Compulsory Elective Modules in Mathematics )
Complex Geometry I (Compulsory Elective Modules in Mathematics )
Complex Geometry II (Compulsory Elective Modules in Mathematics )
Differential Geometry I (Compulsory Elective Modules in Mathematics )
Differential Geometry II (Compulsory Elective Modules in Mathematics )
Fourier Integral Operators (Compulsory Elective Modules in Mathematics )
Functional Analysis (Compulsory Elective Modules in Mathematics )
Galois Theory (Compulsory Elective Modules in Mathematics )
Holomorphic Functions and Abelian Varieties (Compulsory Elective Modules in Mathematics )
Hopf Algebras (Compulsory Elective Modules in Mathematics )
Hopf Algebras II (Compulsory Elective Modules in Mathematics )
Large Specialization Module Algebra/Geometry (Compulsory Elective Modules in Mathematics )
Large Specialization Module Analysis/Topology (Compulsory Elective Modules in Mathematics )
Large Specialization Module Numerical Mathematics/Optimization (Compulsory Elective Modules in Mathematics )
Large Specialization Module Stochastics (Compulsory Elective Modules in Mathematics )
Mathematical and Nonparametric Statistics (Compulsory Elective Modules in Mathematics )
Noncommutative Algebra (Compulsory Elective Modules in Mathematics )
Numerical Solution Methods for Differential Equations (Compulsory Elective Modules in Mathematics )
Numerical Solution Methods for Finite Dimensional Problems (Compulsory Elective Modules in Mathematics )
Partial Differential Equations (Compulsory Elective Modules in Mathematics )
Probabilistic Combinatorics (Compulsory Elective Modules in Mathematics )
Probability Theory (Compulsory Elective Modules in Mathematics )
Spectral and Scattering Theory (Compulsory Elective Modules in Mathematics )
Stochastical Analysis (Compulsory Elective Modules in Mathematics )

Practical module, 6 CP

Advanced Software Lab (Practical Modules )
Internship Stochastics (Practical Modules )
Mathematical Software Project (Practical Modules )

Thesis module, 12 CP

Bachelor Thesis (Bachelor thesis )

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:

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.