SPL 25 - Mathematics

25.1. Bachelor Programme

1.1. Introductory phase (STEP)

• 250214 VO Introduction into mathematical methodology
• 250260 UE Aid from the EDP
• 250174 VO Introduction to Analysis
• 250175 UE Tutorials "Introduction to analysis"
• 250199 UE Repetition course to "Introduction to analysis"
• 250133 VO Introduction to linear algebra and geometry
• 250104 UE Tutorials " Introduction to linear algebra and geometry"
• 250238 UE Repetition course to "Introduction to linear algebra and geometry"

1.2. Compulsory courses for all students

• 250254 VO Algebra 1
• 250255 UE Introductory seminar to Algebra 1
• 250191 VO Modelling
• 250192 UE Tutorials "Modelling"
• 250179 VO Analysis 3
• 250180 UE Introductory Seminar to Analysis 3
• 250172 VO Discrete mathematics
• 250173 UE Tutorials "discrete mathematics"
• 250187 VO Introduction to topology
• 250188 UE Tutorial: Introduction to topology
• 250186 SE Bachelor seminar 1

1.3. Alternative group of compulsory modules "Mathematische Berufsvorberietung"

• 250194 VO Basic Ideas of Mathematics
• 250218 KO Conversation to history of mathematics
• 250262 KO Conversation: English for mathematicians

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

• 250270 VO Basic concepts of mathematical logic
• 250269 UE Introductory Seminar: Fundamental Concepts of Mathematical Logic
• 250248 VO Partial differential equations
• 250207 VO Functional analysis 1
• 250208 UE Introductory seminar to Functional Analysis 1
• 250194 VO Basic Ideas of Mathematics
• 250218 KO Conversation to history of mathematics
• 250262 KO Conversation: English for mathematicians
• 250249 UE Tutorials "Partial differential equations"

25.2. Diploma Programme

First stage

1.1. Compulsory Courses

1.2. Elective Courses

1.4. Mathematics for Physicists

• 260224 VO Analysis for Physicists I
• 260225 UE Problem sessions to Analysis for Physicists I
• 260226 VO Linear Algebra for Physicists
• 260227 UE Problem sessions to Linear Algebra for Physicists

2.1. Compulsory courses

• 250179 VO Analysis 3
• 250180 UE Introductory Seminar to Analysis 3
• 250254 VO Algebra 1
• 250255 UE Introductory seminar to Algebra 1
• 250172 VO Discrete mathematics
• 250173 UE Tutorials "discrete mathematics"
• 250187 VO Introduction to topology
• 250188 UE Tutorial: Introduction to topology

2.2. Elective courses

• 250278 UE Repetition course to Analysis 3
• 250191 VO Modelling
• 250192 UE Tutorials "Modelling"
• 250214 VO Introduction into mathematical methodology
• 250199 UE Repetition course to "Introduction to analysis"
• 250262 KO Conversation: English for mathematicians

2.3. Evening courses

• 250196 VO Analysis 2
• 250195 UE Introductory seminar to analysis 2
• 250197 UE Repetition course to analysis 2
• 250201 VO Linear algebra and geometry 2
• 250206 UE Introductory seminar to linear algebra and geometry 2
• 250202 UE Repetition course to linear algebra and geometry 2

Second Stage

2.4. Lecture Courses, Tutorials, and Conversatoriums

• 250270 VO Basic concepts of mathematical logic
• 250269 UE Introductory Seminar: Fundamental Concepts of Mathematical Logic
• 250207 VO Functional analysis 1
• 250208 UE Introductory seminar to Functional Analysis 1
• 250248 VO Partial differential equations
• 250218 KO Conversation to history of mathematics
• 250168 VO Commutative algebra
• 250170 PS Introductory seminar to commutative algebra
• 250219 VO Algebraic number theory
• 250229 VO Algebraic geometry 2
• 250230 PS Introductory seminar to algebraic geometry 2
• 250212 VO Lie groups
• 250282 VO Algorithmic geometry
• 250211 VO Representation theory of finite groups
• 250042 VO Computer algebra
• 250237 VO Selected topics in algebra
• 250253 VO Selected topics in number theory
• 250221 VO Complex analysis 2
• 250241 VO Ordinary differential equations 2
• 250223 VO Banach algebras
• 250220 VO Selected topics in functional analysis: Schrödinger operators
• 250193 VO Selected topics in harmonic analysis
• 250234 VO Numerical mathematics 2
• 250235 PS Introductory seminar to numerical mathematics 2
• 250242 VO Optimization and variation calculation
• 250216 VO Real algebraic geometry and polynomial optimization
• 050169 VU WA.ASC.NM.VU Numerical Methods for Differential Equations
• 250213 VO Interval analysis
• 250225 VO Bio mathematics
• 250226 PS Introductory seminar to bio mathematics
• 250182 VO Stochastic Processes
• 250281 VO Selected topics in game theory
• 250146 VO Algebraic topology
• 250205 PS Introductory seminar to algebraic topology
• 250203 VO Differential geometry 2
• 250233 PS Introductory Seminar to Differential geometry 2
• 250263 VO [ en ] Selected topics in differential geometry (Global Lorentz Geometry)
• 250272 VO Axiomatic Set Theory 1
• 250271 PS Introductory Seminar: Axiomatic Set Theory 1
• 250273 VO Model Theory
• 250274 VO Selected Topics in Set Theory
• 250200 VO Higher probability theory
• 250251 VO Measure and integration theory
• 250252 PS Introductory seminar to measure and integration theory
• 250249 UE Tutorials "Partial differential equations"
• 250286 VO [ en ] Selected topics in differential geometry (Global Lorentz Geometry 2)

2.5. Mathematical Colloquium and Seminars

• 250247 VO Mathematical conversations
• 250279 SE Seminar (the art of problem solving)
• 250239 SE Seminar (Algebra) for SSTAP and Diploma
• 250102 SE Seminar (discrete mathematics)
• 250231 SE Seminar (algebraic geometry)
• 250246 PJ+SE Project seminar (Algebra)
• 250171 PJ+SE Project seminar (number theory)
• 250256 PJ+SE Project seminar (number theory)
• 250232 SE Seminar "discrete mathematics"
• 250204 SE Seminar (analysis)
• 250198 SE Seminar (Complex analysis )
• 250209 SE [ en ] IK-Seminar (modern analysis)
• 250222 PJ+SE Project Seminar (Mathematical physics)
• 250210 SE Seminar (Analysis) generalized functions
• 250236 SE Seminar (Analysis) for SSTAP and Diploma
• 250224 SE [ en ] Seminar (Scientific working)
• 250264 SE Seminar (Nonstandard Analysis)
• 250245 PJ+SE Project seminar (Analysis)
• 250215 SE Seminar (Optimization)
• 250240 SE Seminar (Mathematical modelling)
• 250243 PJ+SE Project seminar (data analysis)
• 250184 PJ+SE Project seminar (applied mathematics)
• 250244 SE Privatissimum (Applied mathematics)
• 250185 SE Seminar (biomathematics)
• 250183 SE Seminar (mathematical population genetics)
• 250250 SE Seminar (Partial differential equations in cell biology)
• 250189 PJ+SE IK-Project seminar (differential geometry)
• 250190 SE IK- Seminar (lie groups)
• 250275 SE Seminar in Mathematical Logic
• 250276 SE Research Seminar: Mathematical Logic
• 250154 SE Project seminar (probability theory)

2.6. Elective Courses (2nd stage)

• 250194 VO Basic Ideas of Mathematics
• 260018 VO Computational Physics I: Basics
• 260100 UE Computational Physics I: Basics (Workshop)

1.3. Evening Courses

Informatics Courses

• 050101 VO Mathematics for Computer Science Ed. 1
• 050102 UE Problem Session: Introduction to Unix System Administration 1
• 050122 PS Introductory Seminar Mathematics for Computer Science Ed. 1
• 050164 VO Algorithms, Data Structures and Programming 2
• 050165 UE Problem Session: Algorithms, Data Structures and Programming 2
• 050166 VU Internet Applications
• 050167 VU Computersupported Teaching and Learning Organisation
• 050169 VU WA.ASC.NM.VU Numerical Methods for Differential Equations

25.3. Teacher training programme

First stage

3.1. Compulsory courses

• 250214 VO Introduction into mathematical methodology
• 250260 UE Aid from the EDP
• 250174 VO Introduction to Analysis
• 250175 UE Tutorials "Introduction to analysis"
• 250133 VO Introduction to linear algebra and geometry
• 250104 UE Tutorials " Introduction to linear algebra and geometry"
• 250196 VO Analysis 2
• 250195 UE Introductory seminar to analysis 2
• 250201 VO Linear algebra and geometry 2
• 250206 UE Introductory seminar to linear algebra and geometry 2
• 250179 VO Analysis 3
• 250180 UE Introductory Seminar to Analysis 3

3.2. Elective courses

• 250199 UE Repetition course to "Introduction to analysis"
• 250238 UE Repetition course to "Introduction to linear algebra and geometry"
• 250197 UE Repetition course to analysis 2
• 250202 UE Repetition course to linear algebra and geometry 2
• 250278 UE Repetition course to Analysis 3
• 250262 KO Conversation: English for mathematicians

Second stage

3.3. Mathematics

• 250157 VO Applied mathematics for Secondary School Teacher Accreditation Programme
• 250167 PS Introductory seminar to applied mathematics for Secondary School Teacher Accreditation Programme
• 250155 VO Higher Analysis for the Secondary School Teacher Accreditation Programme
• 250156 PS Introductory Seminar to Higher Analysis for the Secondary School Teacher Accreditation Programme
• 250239 SE Seminar (Algebra) for SSTAP and Diploma
• 250217 SE Seminar for Secondary School Teacher Accreditation Programme (Applied mathematics)
• 250236 SE Seminar (Analysis) for SSTAP and Diploma
• 250178 SE Seminar for the Secondary School Teacher Accredidation Programme (Probability Theory)
• 250194 VO Basic Ideas of Mathematics
• 250218 KO Conversation to history of mathematics
• 250283 SE Seminar for the Secondary School Teacher Accredidation Programme (Probability Theory)

3.4. Didactics of mathematics

• 250177 VO Indroduction to didactics of mathematics
• 250259 SE Seminar to the school practical training
• 250103 SE Seminar for planning teaching units
• 250176 SE Seminar for planning teaching units
• 250261 SE Seminar on mathematics education
• 250280 SE Seminar (didactics of mathematics)
• 250265 VO School mathematics 2
• 250266 UE Tutorial School mathematics 2
• 250257 VO School mathematics 3 (Applied mathematics)
• 250258 UE Tutorials to School mathematics 3 (Applied mathematics)
• 250227 VO School mathematics differential calculus
• 250228 PS Introductory seminar to school mathematics differential calculus
• 250101 VO Applications of mathematics in teaching

3.5. Elective courses (second stage)

• 250191 VO Modelling
• 250192 UE Tutorials "Modelling"
• 250267 KO Mathematics and education
• 250268 VO Selected topics in

25.4. Master Programme

• 250247 VO Mathematical conversations
• 250279 SE Seminar (the art of problem solving)

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

Basic courses, specialization "Algebra"

• 250219 VO Algebraic number theory
• 250239 SE Seminar (Algebra) for SSTAP and Diploma
• 250102 SE Seminar (discrete mathematics)
• 250231 SE Seminar (algebraic geometry)
• 250246 PJ+SE Project seminar (Algebra)
• 250171 PJ+SE Project seminar (number theory)
• 250256 PJ+SE Project seminar (number theory)
• 250232 SE Seminar "discrete mathematics"

Advanced courses, specialization "Algebra"

• 250168 VO Commutative algebra
• 250170 PS Introductory seminar to commutative algebra
• 250042 VO Computer algebra
• 250211 VO Representation theory of finite groups
• 250229 VO Algebraic geometry 2
• 250230 PS Introductory seminar to algebraic geometry 2
• 250282 VO Algorithmic geometry
• 250237 VO Selected topics in algebra
• 250253 VO Selected topics in number theory

4.2. Specialization "Analysis"

Basic courses, specialization "Analysis"

• 250221 VO Complex analysis 2
• 250210 SE Seminar (Analysis) generalized functions
• 250204 SE Seminar (analysis)
• 250198 SE Seminar (Complex analysis )
• 250209 SE [ en ] IK-Seminar (modern analysis)
• 250222 PJ+SE Project Seminar (Mathematical physics)
• 250236 SE Seminar (Analysis) for SSTAP and Diploma
• 250224 SE [ en ] Seminar (Scientific working)
• 250250 SE Seminar (Partial differential equations in cell biology)
• 250264 SE Seminar (Nonstandard Analysis)
• 250245 PJ+SE Project seminar (Analysis)

Advanced courses, specialization "Analysis"

• 250223 VO Banach algebras
• 250241 VO Ordinary differential equations 2
• 250220 VO Selected topics in functional analysis: Schrödinger operators
• 250193 VO Selected topics in harmonic analysis

4.3. Specialization "Applied mathematics and scientific computing"

Basic courses, specialization "AMaSciCo"

• 250234 VO Numerical mathematics 2
• 250235 PS Introductory seminar to numerical mathematics 2
• 250242 VO Optimization and variation calculation
• 250215 SE Seminar (Optimization)
• 250224 SE [ en ] Seminar (Scientific working)
• 250240 SE Seminar (Mathematical modelling)
• 250184 PJ+SE Project seminar (applied mathematics)
• 250243 PJ+SE Project seminar (data analysis)
• 250244 SE Privatissimum (Applied mathematics)

Advanced courses, specialization "AMaSciCo"

• 050169 VU WA.ASC.NM.VU Numerical Methods for Differential Equations
• 250213 VO Interval analysis
• 250216 VO Real algebraic geometry and polynomial optimization
• 250193 VO Selected topics in harmonic analysis
• 260018 VO Computational Physics I: Basics
• 260100 UE Computational Physics I: Basics (Workshop)

4.4. Specialization "Biomathematics"

Basic courses, specialization "Biomathematics"

• 250182 VO Stochastic Processes
• 250183 SE Seminar (mathematical population genetics)
• 250250 SE Seminar (Partial differential equations in cell biology)
• 250185 SE Seminar (biomathematics)

Advanced courses, specialization "Biomathematics"

• 250225 VO Bio mathematics
• 250226 PS Introductory seminar to bio mathematics
• 250281 VO Selected topics in game theory

4.5. Specialization "Geometry and Topology"

Basic courses, specialization "Geometry"

• 250203 VO Differential geometry 2
• 250233 PS Introductory Seminar to Differential geometry 2
• 250146 VO Algebraic topology
• 250205 PS Introductory seminar to algebraic topology
• 250212 VO Lie groups
• 250190 SE IK- Seminar (lie groups)
• 250231 SE Seminar (algebraic geometry)
• 250189 PJ+SE IK-Project seminar (differential geometry)

Advanced courses, specialization "Geometry"

• 250229 VO Algebraic geometry 2
• 250230 PS Introductory seminar to algebraic geometry 2
• 250282 VO Algorithmic geometry
• 250263 VO [ en ] Selected topics in differential geometry (Global Lorentz Geometry)
• 250286 VO [ en ] Selected topics in differential geometry (Global Lorentz Geometry 2)

4.6. Specialization "Mathematical logic and theoretical informatics"

Basic courses, specialization "Logic"

• 250272 VO Axiomatic Set Theory 1
• 250271 PS Introductory Seminar: Axiomatic Set Theory 1
• 250275 SE Seminar in Mathematical Logic
• 250276 SE Research Seminar: Mathematical Logic

Advancede courses, specialization "Logic"

• 250273 VO Model Theory
• 250274 VO Selected Topics in Set Theory

4.7. Specialization "Stochastics and dynamical systems"

Basic courses, speicialization "Stochastics"

• 250182 VO Stochastic Processes
• 250251 VO Measure and integration theory
• 250252 PS Introductory seminar to measure and integration theory
• 250200 VO Higher probability theory
• 250154 SE Project seminar (probability theory)

Advanced courses, specialization "Stochastics"

25.5. Service teaching

5.1. Mathematics for Physics and related fields

• 260224 VO Analysis for Physicists I
• 260225 UE Problem sessions to Analysis for Physicists I
• 260226 VO Linear Algebra for Physicists
• 260227 UE Problem sessions to Linear Algebra for Physicists

5.2. Informatics

• 050101 VO Mathematics for Computer Science Ed. 1
• 050122 PS Introductory Seminar Mathematics for Computer Science Ed. 1
• 050123 VO Unix System Administration 1
• 050102 UE Problem Session: Introduction to Unix System Administration 1
• 050164 VO Algorithms, Data Structures and Programming 2
• 050165 UE Problem Session: Algorithms, Data Structures and Programming 2
• 050071 PR Laboratory for Specialized Didactics
• 050128 PR Interdisciplinary Didactics Laboratory
• 050166 VU Internet Applications
• 050169 VU WA.ASC.NM.VU Numerical Methods for Differential Equations
• 050096 VU Planning of Interdisciplinary Teaching
• 050167 VU Computersupported Teaching and Learning Organisation