Directorate of Studies 25 - Mathematics

• 250003 UE Mathematical colloquium
• 250062 KO Fans of math go to university
• 250116 KO Workshop for high school mathematics

25.1 Bachelor programme

1.1. Introductory and orientation phase (StEOP)

• 250022 VO STEOP: Introduction to mathematical methodology
• 250023 UE STEOP: Introduction to computer infrastructure

1.2. Compulsory courses for all students

• 250001 VO Introduction to analysis
• 250002 UE Tutorials "Introduction to analysis"
• 250018 VO Introduction to linear algebra and geometry
• 250019 UE Tutorials "Introduction to linear algebra and geometry"
• 250044 VO Linear algebra and geometry 2
• 250045 UE Tutorials for "Linear algebra and geometry 2"
• 250013 VO Discrete mathematics
• 250014 UE Tutorials on discrete mathematics
• 250015 VO Algebraic structures
• 250016 UE Tutorials on algebraic structures
• 250024 VO Advanced analysis and elementary differential geometry
• 250025 UE Tutorials on advanced analysis and differential geometry
• 250055 VO Mathematical modelling
• 250056 UE Tutorials on mathematical modelling
• 250006 SE Bachelor seminar 1
• 250007 SE Bachelor seminar 2

Evening courses

1.3. Alternative group of compulsory modules "Mathematische Berufsvorbereitung"

• 250008 VO Financial mathematics
• 250009 UE Tutorials on financial mathematics
• 250010 VU Image and signal processing
• 250057 VO An overview on algebra
• 250058 VO An overview on differential equations

1.4. Alternative group of compulsory modules "Vorbereitung auf wissenschaftliche Arbeit"

• 250004 VO Algebra
• 250005 UE Tutorials on algebra
• 250011 VO Ordinary differential equations
• 250012 UE Tutorials on ordinary differential equations
• 250020 VO Functional analysis
• 250021 UE Tutorials on functional analysis

1.5. Mathematik im Kontext/Umfeld

• 250054 KO English for mathematicians
• 250061 PJ+SE Seminar and project seminar (Analysis and Algebra)
• 250100 SE [ en ] Seminar (The art of problem solving

25.3. Teacher training programme

First stage

3.1 Introductory and orientation phase (StEOP)

• 250026 VO STEOP: Introduction to mathematical methodology - speziell für Lehramtsstudierende
• 250027 UE Tutorials for the introductory phase of the SSTAP

3.2. Compulsory courses

• 250001 VO Introduction to analysis
• 250002 UE Tutorials "Introduction to analysis"
• 250018 VO Introduction to linear algebra and geometry
• 250019 UE Tutorials "Introduction to linear algebra and geometry"
• 250023 UE STEOP: Introduction to computer infrastructure
• 250028 VO Analysis in one Variable for Secondary School Teacher Accreditation Programme
• 250029 UE Tutorial: Analysis in one Variable for Secondary School Teacher Accreditation Programme
• 250030 VO Linear algebra and Geometry for Secondary School Teacher Accreditation Programme
• 250031 UE Tutorials on Linear algebra and Geometry for Secondary School Teacher Accreditation Programme

3.3. Elective courses

Second stage

3.4 Mathematics

• 250046 VO Applied mathematics for Secondary School Teacher Accreditation Programme
• 250048 VO Differential equations for Secondary School Teacher Accreditation Programme
• 250053 UE Tutorial: Differential equations for Secondary School Teacher Accreditation Programme
• 250049 SE Seminar for Secondary School Teacher Accreditation Programme (Algebra)
• 250050 SE Seminar for Secondary School Teacher Accreditation Programme (Applied mathematics)
• 250047 UE Computer course for Secondary School Teacher Accreditation Programme
• 250051 SE Seminar for Secondary School Teacher Accredidation Programme (Stochastics)
• 250052 UE Tutorial: Applied mathematics for Secondary School Teacher Accreditation Programme
• 250054 KO English for mathematicians

3.5. Didactics of mathematics

• 250032 VO Indroduction to didactics
• 250034 PS Problem solving
• 250035 VO School mathematics 1 (Arithmetic and Algebra)
• 250041 UE Tutorial: School mathematics 1 (Arithmetic and Algebra)
• 250036 VO School mathematics 2 (Geometry)
• 250037 VO School mathematics 6 (Differential and Integral calculus)
• 250043 UE Tutorial: School mathematics 6 (Differential and Integral calculus)
• 250040 SE Seminar on planning teaching units
• 250039 SE Seminar on mathematics education
• 250038 SE Seminar (Work in schools)
• 250042 UE Tutorial: School mathematics 2 (Geometry)

3.6. Elective courses (second stage)

25.4. Master Programme

4.1. Specialization "Algebra, number theory and dicrete mathematics"

Basic courses, specialization "Algebra"

• 250066 VO Algebraic number theory
• 250059 PJ+SE [ en ] Project Seminar (Research Seminar)
• 250060 PJ+SE Project seminar (Number Theory)
• 250100 SE [ en ] Seminar (The art of problem solving
• 250114 SE [ en ] Seminar (Discrete Mathematics)
• 250061 PJ+SE Seminar and project seminar (Analysis and Algebra)
• 250126 PJ+SE Seminar: Algebraic Geometry

Advanced courses, specialization "Algebra"

• 250063 VO [ en ] p-adic analysis and number theory
• 250064 VO Advanced Commutative Algebra
• 250074 VO [ en ] Dynamical Systems and Category Theory
• 250110 PS Problem sessions in advanced commutative algebra
• 250119 SE [ en ] Seminar on Dynamical Systems and Category Theory
• 442504 VO [ en ] Geometric and asymptotic group theory

4.2. Specialization "Analysis"

Basic courses, specialization "Analysis"

• 250075 VO Advanced complex analysis
• 250101 PS Introductory seminar on advanced complex analysis
• 250076 VO Theory of partial differential equations
• 250078 PS Introductory seminar on the theory of partial differential equations
• 250077 PJ+SE [ en ] Project seminar (functional analysis)
• 250079 VO Seminar (Complex Analysis)
• 250080 PJ+SE Project seminar (Analysis and Geometry)
• 250081 SE Seminar (Analysis/Geometry): ultradifferentiable functions
• 250100 SE [ en ] Seminar (The art of problem solving
• 250071 PJ+SE [ en ] Seminar (Harmonic analysis)
• 250061 PJ+SE Seminar and project seminar (Analysis and Algebra)
• 250120 SE [ en ] DK-Seminar: Dissipation and dispersion in nonlinear partial differential equations

Advanced courses, specialization "Analysis"

• 250082 VO Banach algebras
• 442501 VO Reaction Diffusion Equations

4.3. Specialization "Applied mathematics and scientific computing"

Basic courses, specialization "AMaSciCo"

• 250067 VO [ en ] Applied analysis
• 250068 VO Numerical mathematics 2
• 250069 PS Introductory seminar "Numerical mathematics 2"
• 250072 SE Seminar (Optimization)
• 250070 PJ+SE [ en ] Seminar (Differential equations)
• 250071 PJ+SE [ en ] Seminar (Harmonic analysis)
• 250115 SE Seminar (inverse problems)
• 250118 SE [ en ] Seminar (Applied Partial Differential Equations)
• 250120 SE [ en ] DK-Seminar: Dissipation and dispersion in nonlinear partial differential equations

Advanced courses, specialization "AMaSciCo"

• 250073 VO Convex optimization
• 442501 VO Reaction Diffusion Equations

4.4. Specialization "Biomathematics"

Basic courses, specialization "Biomathematics"

• 250083 VO Game theory
• 250109 PS Introductory seminar on game theory
• 250094 VO Stochastic Processes
• 250084 SE Seminar (Biomathematics)
• 250085 SE Seminar (Mathematical population genetics)
• 250086 SE Seminar (Theoretical Population Genetics)

Advanced courses, specialization "Biomathematics"

• 442502 VO Selected topics in population genetics

4.5. Specialization "Geometry and Topology"

Basic courses, specialization "Geometry"

• 250088 VO Riemannian geometry
• 250089 VO Lie groups
• 250090 PS Introductory seminar on Lie groups
• 250098 SE Seminar (differential geometry)
• 250080 PJ+SE Project seminar (Analysis and Geometry)
• 250081 SE Seminar (Analysis/Geometry): ultradifferentiable functions
• 250126 PJ+SE Seminar: Algebraic Geometry

Advanced courses, specialization "Geometry"

• 250064 VO Advanced Commutative Algebra
• 250074 VO [ en ] Dynamical Systems and Category Theory
• 250091 VO [ en ] Algebraic Topology 2
• 250110 PS Problem sessions in advanced commutative algebra
• 250117 VO [ en ] Symmetric spaces - ESI-Lecture Course
• 250119 SE [ en ] Seminar on Dynamical Systems and Category Theory

4.6. Specialization "Mathematical logic and theoretical informatics"

Basic courses, specialization "Logic"

• 250102 VO Introduction to theoretical computer science
• 250103 VO Introduction to mathematical logic
• 250104 PS Introductory seminar: "Introduction to mathematical logic"
• 250105 SE Seminar (mathematical logic)

Advancede courses, specialization "Logic"

• 250106 VO Selected topics in mathematical logic
• 250107 SE Research seminar in mathematical logic
• 250108 VO Set theory (reading course)

4.7. Specialization "Stochastics and dynamical systems"

Basic courses, speicialization "Stochastics"

• 250092 VO Measure theory and integration
• 250093 PS Introductory seminar on measure theory and integration
• 250094 VO Stochastic Processes
• 250095 SE Seminar (dynamical systems)
• 250096 SE Seminar (association of ergodic theory)
• 250111 SE Seminar (probability theory)
• 250112 SE Seminar (financial mathematics)

Advanced courses, specialization "Stochastics"

• 250097 VO Topics course in probability theory
• 250099 UE [ en ] Problem sessions in mathematical finance: continuous models 2
• 250121 SE [ en ] Seminar: Entropy methods for PDEs and stochastic processes
• 442503 VO Mathematical finance: continuous models 2

25.5. Service teaching

5.1. Mathematics for Physics and related fields

• 260224 VO Analysis for Physicists I
• 260225 UE Problem session to Analysis for Physicists I
• 260226 VO Linear Algebra for Physicists
• 260227 UE Problem session to Linear Algebra for Physicists
• 269005 VO [ en ] Numerical Methods I
• 269006 UE [ en ] Numerical Methods I - Exercises
• 269007 VO [ en ] Numerical Methods II
• 269008 UE [ en ] Numerical Methods II - Exercises

5.2. Informatics

• 050071 PR Laboratory for Specialized Didactics
• 050102 UE Problem Session: Introduction to Unix System Administration 1
• 050123 VO Unix System Administration 1
• 050140 VU Seminar with Bachelor Thesis
• 050126 VU Numerical Methods for the Solution of Differential Equations