Studies Programme 25 - Mathematics
25.1 Bachelor programme
1.1. Introductory phase (STEP)
- 250045 VO Introduction to mathematical methodology
- 250121 UE Introduction to computer infrastructure
- 250032 VO Introduction to Analysis
- 250033 UE Tutorials "Introduction to analysis"
- 250022 VO Introduction to linear algebra and geometry
- 250023 UE Tutorials "Introduction to linear algebra and geometry"
1.2. Compulsory courses for all students
- 250015 VO Analysis
- 250016 UE Tutorials for "Analysis"
- 250013 VO Linear algebra and geometry 1
- 250014 UE Tutorials for "Linear algebra and geometry 1"
- 250046 VO Number theory
- 250120 VO Algorithms, data structures and programming
- 250115 UE Practical programming course
- 250097 VO Introduction to topology
- 250098 UE Tutorials "Introduction to topology"
- 250077 VO Numerical mathematics
- 250048 VO Probability theory
- 250050 VO Selected topics in probability theory and statistics
- 250049 UE Tutorials on probability theory and statistics
- 250062 VO Complex analysis
- 250047 UE Tutorials on number theory
- 250063 UE Tutorials on complex analysis
- 250078 UE Tutorials on numerical mathematics
Evening courses
- 250021 SE Bachelor seminar 1
1.3. Alternative group of compulsory modules "Mathematische Berufsvorbereitung"
- 250042 VO Applications of algebra
- 250043 UE Tutorials on applications of algebra
- 250056 VO Image and signal processing
- 250057 UE Tutorials on image and signal processing
- 250026 KO Job perspectives for Mathematicians: "Financial Mathematics"
- 250017 UE Repetition course "Analysis"
1.4. Alternative group of compulsory modules "Vorbereitung auf wissenschaftliche Arbeit"
- 250124 VO Basic concepts of mathematical logic
- 250125 UE Tutorials on basic mathematical logic
- 250087 VO Ordinary differential equations
- 250088 UE Tutorials on ordinary differential equations
- 250026 KO Job perspectives for Mathematicians: "Financial Mathematics"
- 250017 UE Repetition course "Analysis"
25.2. Diploma Programme
First stage
2.1. Compulsory courses
- 250015 VO Analysis
- 250016 UE Tutorials for "Analysis"
- 250013 VO Linear algebra and geometry 1
- 250014 UE Tutorials for "Linear algebra and geometry 1"
- 250062 VO Complex analysis
- 250063 UE Tutorials on complex analysis
- 250087 VO Ordinary differential equations
- 250088 UE Tutorials on ordinary differential equations
- 250097 VO Introduction to topology
- 250098 UE Tutorials "Introduction to topology"
- 250046 VO Number theory
- 250047 UE Tutorials on number theory
2.2 Elective Courses
- 250017 UE Repetition course "Analysis"
- 250045 VO Introduction to mathematical methodology
2.3. Evening courses
- 250045 VO Introduction to mathematical methodology
- 250032 VO Introduction to Analysis
- 250022 VO Introduction to linear algebra and geometry
- 250023 UE Tutorials "Introduction to linear algebra and geometry"
- 250033 UE Tutorials "Introduction to analysis"
Second Stage
2.4. Lecture Courses, Tutorials, and Conversatoriums
- 250077 VO Numerical mathematics
- 250078 UE Tutorials on numerical mathematics
- 250048 VO Probability theory
- 250050 VO Selected topics in probability theory and statistics
- 250049 UE Tutorials on probability theory and statistics
- 250124 VO Basic concepts of mathematical logic
- 250125 UE Tutorials on basic mathematical logic
- 250068 VO Differential geometry
- 250069 PS Introductory seminar on differential geometry
- 250004 VO Group theory
- 250040 UE Tutorials on group theory
- 250027 VO Combinatorics
- 250028 PS Introductory seminar on combinatorics
- 250042 VO Applications of algebra
- 250043 UE Tutorials on applications of algebra
- 250137 VO Algorithmic algebraic geometry
- 250114 VO Cryptography
- 250053 VO Lie algebras and representation theory
- 250084 VO Selected topics in algebraic geometry
- 250085 PS Introductory seminar on selected topics in algebraic geometry
- 250093 VO [ en ] Mathematics of String Theory II
- 250072 VO Selected topics in number theory - Algebraic groups
- 250105 VO Selected topics in number theory - Non-commutative algebra
- 250060 VO Functional analysis 2
- 250061 PS Introductory seminar to functional analysis 2
- 250081 VO Partial differential equations 2
- 250082 PS Introductory seminar "Partial differential equations 2"
- 250036 VO Applied Analysis
- 250037 PS Introductory seminar on applied analysis
- 250067 VO Distribution theory
- 250005 VO [ en ] Selected topics in differential equations
- 250006 PS [ en ] Introductory seminar on selected topics in differential equations
- 250065 VO Selected topics in partial differential equations
- 250136 VO [ en ] Introduction to Scattering Theory for the Schrödinger Equation (The Agmon-Kato approach)
- 250135 VO [ en ] Selected topics in analysis (Wiener's lemma)
- 250056 VO Image and signal processing
- 250057 UE Tutorials on image and signal processing
- 250101 VO Hydrodynamics
- 250102 VO Methods of data analysis
- 250079 VO Global optimization (Selected topics in optimization)
- 250142 VO [ en ] Selected topics in applied mathematics - (Lie Algebren und Quantenmechanik II)
- 250080 VO Algorithms for convex optimization (Selected topics in optimization)
- 250107 VO Selected topics in evolutionary game theory
- 250009 VO Algebraic topology
- 250038 PS Introductory seminaron algebraic topology
- 250070 VO Selected topics in differential geometry: Global semi-Riemannian geometry
- 250076 VO Selected topics in differential geometry: Geometry of shape spaces
- 250003 VO [ en ] Stochastic financial mathematics 2
- 250002 UE [ en ] Tutorials "Stochastic financial mathematics 2"
- 250139 VO Selected topics in probability theory
- 250140 PS Introdutory seminar on selected topics in probability theory
- 040114 UK KFK OR: Operations Research II
- 250126 VO Axiomatic Set Theory 1
- 250127 PS Introductory Seminar to Axiomatic Set Theory 1
- 250128 VO Recursion Theory
- 250129 VO Non classical Logics
- 250130 VO Selected topics in set theory
- 250143 VO [ en ] Advanced set theory: Mutual stationarity
- 300477 VO [ en ] Mathematical models for ecological interactions - Obligatory for members of the graduate school "Symbiotic Interactions"
2.5. Mathematical Colloquium and Seminars
- 250020 KO Mathematical colloquium
- 250044 SE Seminar (the art of problem solving)
- 250018 PJ+SE Project seminar (Algebra)
- 250099 PJ+SE Project seminar (Algebra)
- 250095 SE Seminar (Combinatorics)
- 250096 SE Seminar (Discrete mathematics)
- 250086 SE Seminar (Algebraic geometry)
- 250094 SE [ en ] Research Seminar (Homological Mirror Symmetry)
- 250106 PJ+SE Project seminar (Arithmetic algebraic geometry)
- 250019 PJ+SE Project seminar (Analysis)
- 250066 PJ+SE Project seminar (Analysis-Differential equations)
- 250059 SE IK-Seminar (Analysis)
- 250134 SE IK-Seminar (Mathematical Writing)
- 250075 SE WK-Seminar (Differential equations)
- 250064 SE Seminar (Complex analysis)
- 250071 SE Seminar (Analysis) generalized functions
- 250007 SE [ en ] Seminar (differential equations)
- 250012 SE Seminar (partial differential equations in biology)
- 250083 SE Seminar (Approximation theory)
- 250100 PJ+SE Project seminar (Applied mathematics)
- 250103 SE [ en ] Seminar (Optimization)
- 250051 SE Seminar (Biomathematics)
- 250052 SE Seminar (Mathematical population genetics)
- 250010 PJ+SE Project seminar (algebraic topology)
- 250055 SE IK- Project seminar (Lie groups)
- 250054 SE IK-Seminar (Differential geometry)
- 250131 SE Project Seminar in Mathematical Logic
- 250132 SE Reserch Seminar: Mathematical Logic
- 250104 SE [ en ] Seminar (Transport theory)
- 250133 SE Seminar (Dynamical Systems)
- 250025 SE Seminar (Measure theory)
- 250138 SE Seminar (Representation theory)
2.6. Elective Courses (2nd stage)
25.3. Teacher training programme
First stage
3.1. Compulsory courses
- 250035 VO Analysis in one Variable (Secondary School Teacher Accreditation Programme)
- 250041 UE Tutorials on Analysis in one Variable (Secondary School Teacher Accreditation Programme)
- 250022 VO Introduction to linear algebra and geometry
- 250023 UE Tutorials "Introduction to linear algebra and geometry"
- 250046 VO Number theory
- 250109 VO School mathematics 2 (Elementary geometry)
- 250110 UE Tutorial: School mathematics 2 (Elementary geometry)
- 250116 VO School mathematics 5 (Stochastics)
- 250117 UE Tutorial: School mathematics 5 (Stochastics)
- 250089 VO School mathematics 6 (Differential and Integral calculus)
- 250090 UE Tutorial: School mathematics 6 (Differential and Integral calculus)
- 250045 VO Introduction to mathematical methodology
- 250121 UE Introduction to computer infrastructure
- 250032 VO Introduction to Analysis
- 250033 UE Tutorials "Introduction to analysis"
- 250047 UE Tutorials on number theory
3.2. Elective courses
Second stage
3.3 Mathematics
- 250029 VO Stochastics (Secondary School Teacher Accreditation Programme)
- 250030 UE Tutorial on Stochastics (Secondary School Teacher Accreditation Programme)
- 250073 VO Algebra (Secondary School Teacher Accreditation Programme)
- 250074 UE Tutorial: Algebra (Secondary School Teacher Accreditation Programme)
- 250008 PS Computer course for SSTAP
- 250123 VO Elementary geometry
- 250099 PJ+SE Project seminar (Algebra)
- 250058 SE Seminar for Secondary School Teacher Accreditation Programme (Applied mathematics)
- 250034 SE Seminar for Secondary School Teacher Accreditation Programme (Analysis)
- 250122 SE Seminar for Secondary School Teacher Accredidation Programme (Stochastics)
3.4. Didactics of mathematics
- 250112 SE Seminar (work in schools)
- 250113 SE Seminar on planning teaching units
- 250118 SE Seminar on planning teaching units
- 250119 SE Seminar on mathematics education
- 250091 SE Seminar on mathematics education
- 250011 KO Gender aspects in teaching mathematics
- 250039 VO Applications of mathematics in teaching
- 250031 KO Aspects of teaching mathematics
- 250092 PS Introductory seminar Problem solving
- 250109 VO School mathematics 2 (Elementary geometry)
- 250110 UE Tutorial: School mathematics 2 (Elementary geometry)
- 250116 VO School mathematics 5 (Stochastics)
- 250117 UE Tutorial: School mathematics 5 (Stochastics)
- 250089 VO School mathematics 6 (Differential and Integral calculus)
- 250090 UE Tutorial: School mathematics 6 (Differential and Integral calculus)
3.5. Elective courses (second stage)
25.4. Master Programme
- 250020 KO Mathematical colloquium
- 250044 SE Seminar (the art of problem solving)
- 250134 SE IK-Seminar (Mathematical Writing)
4.1. Specialization "Algebra, number theory and dicrete mathematics"
Basic courses, specialization "Algebra"
- 250004 VO Group theory
- 250040 UE Tutorials on group theory
- 250027 VO Combinatorics
- 250028 PS Introductory seminar on combinatorics
- 250018 PJ+SE Project seminar (Algebra)
- 250099 PJ+SE Project seminar (Algebra)
- 250106 PJ+SE Project seminar (Arithmetic algebraic geometry)
- 250055 SE IK- Project seminar (Lie groups)
- 250095 SE Seminar (Combinatorics)
- 250096 SE Seminar (Discrete mathematics)
- 250086 SE Seminar (Algebraic geometry)
- 250094 SE [ en ] Research Seminar (Homological Mirror Symmetry)
- 250138 SE Seminar (Representation theory)
Advanced courses, specialization "Algebra"
- 250114 VO Cryptography
- 250137 VO Algorithmic algebraic geometry
- 250053 VO Lie algebras and representation theory
- 250093 VO [ en ] Mathematics of String Theory II
- 250072 VO Selected topics in number theory - Algebraic groups
- 250084 VO Selected topics in algebraic geometry
- 250085 PS Introductory seminar on selected topics in algebraic geometry
- 250105 VO Selected topics in number theory - Non-commutative algebra
4.2. Specialization "Analysis"
Basic courses, specialization "Analysis"
- 250060 VO Functional analysis 2
- 250061 PS Introductory seminar to functional analysis 2
- 250081 VO Partial differential equations 2
- 250082 PS Introductory seminar "Partial differential equations 2"
- 250019 PJ+SE Project seminar (Analysis)
- 250066 PJ+SE Project seminar (Analysis-Differential equations)
- 250059 SE IK-Seminar (Analysis)
- 250075 SE WK-Seminar (Differential equations)
- 250007 SE [ en ] Seminar (differential equations)
- 250012 SE Seminar (partial differential equations in biology)
- 250064 SE Seminar (Complex analysis)
- 250071 SE Seminar (Analysis) generalized functions
- 250083 SE Seminar (Approximation theory)
Advanced courses, specialization "Analysis"
- 250067 VO Distribution theory
- 250136 VO [ en ] Introduction to Scattering Theory for the Schrödinger Equation (The Agmon-Kato approach)
- 250005 VO [ en ] Selected topics in differential equations
- 250006 PS [ en ] Introductory seminar on selected topics in differential equations
- 250065 VO Selected topics in partial differential equations
- 250135 VO [ en ] Selected topics in analysis (Wiener's lemma)
4.3. Specialization "Applied mathematics and scientific computing"
Basic courses, specialization "AMaSciCo"
- 250036 VO Applied Analysis
- 250100 PJ+SE Project seminar (Applied mathematics)
- 250083 SE Seminar (Approximation theory)
- 250103 SE [ en ] Seminar (Optimization)
Advanced courses, specialization "AMaSciCo"
- 250037 PS Introductory seminar on applied analysis
- 250101 VO Hydrodynamics
- 250102 VO Methods of data analysis
- 250079 VO Global optimization (Selected topics in optimization)
- 250080 VO Algorithms for convex optimization (Selected topics in optimization)
- 250142 VO [ en ] Selected topics in applied mathematics - (Lie Algebren und Quantenmechanik II)
4.4. Specialization "Biomathematics"
- 300477 VO [ en ] Mathematical models for ecological interactions - Obligatory for members of the graduate school "Symbiotic Interactions"
Basic courses, specialization "Biomathematics"
- 250107 VO Selected topics in evolutionary game theory
- 250012 SE Seminar (partial differential equations in biology)
- 250051 SE Seminar (Biomathematics)
- 250052 SE Seminar (Mathematical population genetics)
Advanced courses, specialization "Biomathematics"
4.5. Specialization "Geometry and Topology"
Basic courses, specialization "Geometry"
- 250068 VO Differential geometry
- 250069 PS Introductory seminar on differential geometry
- 250009 VO Algebraic topology
- 250038 PS Introductory seminaron algebraic topology
- 250055 SE IK- Project seminar (Lie groups)
- 250010 PJ+SE Project seminar (algebraic topology)
- 250106 PJ+SE Project seminar (Arithmetic algebraic geometry)
- 250054 SE IK-Seminar (Differential geometry)
- 250086 SE Seminar (Algebraic geometry)
- 250094 SE [ en ] Research Seminar (Homological Mirror Symmetry)
Advanced courses, specialization "Geometry"
- 250137 VO Algorithmic algebraic geometry
- 250053 VO Lie algebras and representation theory
- 250093 VO [ en ] Mathematics of String Theory II
- 250070 VO Selected topics in differential geometry: Global semi-Riemannian geometry
- 250076 VO Selected topics in differential geometry: Geometry of shape spaces
- 250084 VO Selected topics in algebraic geometry
- 250085 PS Introductory seminar on selected topics in algebraic geometry
4.6. Specialization "Mathematical logic and theoretical informatics"
Basic courses, specialization "Logic"
- 250126 VO Axiomatic Set Theory 1
- 250127 PS Introductory Seminar to Axiomatic Set Theory 1
- 250131 SE Project Seminar in Mathematical Logic
- 250132 SE Reserch Seminar: Mathematical Logic
Advancede courses, specialization "Logic"
- 250128 VO Recursion Theory
- 250129 VO Non classical Logics
- 250130 VO Selected topics in set theory
- 250143 VO [ en ] Advanced set theory: Mutual stationarity
4.7. Specialization "Stochastics and dynamical systems"
Basic courses, speicialization "Stochastics"
- 250025 SE Seminar (Measure theory)
- 250104 SE [ en ] Seminar (Transport theory)
- 250133 SE Seminar (Dynamical Systems)
Advanced courses, specialization "Stochastics"
- 250003 VO [ en ] Stochastic financial mathematics 2
- 250002 UE [ en ] Tutorials "Stochastic financial mathematics 2"
- 250139 VO Selected topics in probability theory
- 250140 PS Introdutory seminar on selected topics in probability theory
- 040114 UK KFK OR: Operations Research II
25.5. Service teaching
5.1. Mathematics for Physics and related fields
- 260096 VO Analysis for Physicists II
- 260110 UE Problem session to Analysis for Physicists II
5.2. Informatics
- 250120 VO Algorithms, data structures and programming
- 050102 VO Mathematics for Computer Science Ed. 2
- 050103 UE Introductory Seminar to Mathematics for Computer Science Ed. 2
- 050112 VO Unix System Administration 2
- 050034 UE Problem Session: Introduction to Unix System Administration 2
- 050061 PR Practical Training in Computer Didactics
- 050105 VU Planning of Interdisciplinary Teaching
- 050111 VU Internet Applications
- 050113 VU Computersupported Teaching and Learning Organisation
- 050095 UE Problem Session: Algorithms, Data Structures and Programmimg 1
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of the "StudienServiceCenter" and faculty of mathematics.