Directorate of Studies 25 - Mathematics
Bachelor Mathematics (621 [4] - Version 2021)
Group of Compulsory Modules "Core" (90 ECTS)
StEOP: Introduction to the Mathematical Method (16 ECTS)
- EXAM COMM ON-SITE Introduction to mathematical methodology
- 250169 OL Infoveranstaltung für Erstsemestrige
- 250026 VO STEOP: Introduction to mathematical methodology
- 250003 UE STEOP: Exercises on Introduction to mathematical methodology
- 250001 KO Tutorials for 1st and 2nd semester
IT Basics (2 ECTS)
- 250007 PR ( MIXED ) IT Basics
Introduction to Higher Mathematics (12 ECTS)
Alternative Compulsory Module: Mathematical Programming (2 ECTS)
- 250008 VU Mathematical programming
Alternative Compulsory Module: Exercise for Advanced Students (2 ECTS)
Analysis 2 (10 ECTS)
- 250027 VO Analysis 2
- 250028 PS [ de en ] Analysis 2
- 250055 KU ( MIXED ) Exercise Analysis for Advanced students
Linear Algebra 2 (10 ECTS)
- 250082 VO Linear Algebra 2
- 250083 PS [ de en ] ( MIXED ) Linear Algebra 2
- 250056 KU ( MIXED ) Exercise Linear Algebra for Advanced students
Discrete Mathematics and Computer Science (10 ECTS)
- 250050 VO ( MIXED ) Discrete Mathematics and Computer Science
- 250051 PS ( MIXED ) Discrete Mathematics and Computer Science
Algebra (10 ECTS)
Numerical Mathematics (10 ECTS)
Integration and Stochastics (10 ECTS)
Group of Elective Modules "Foundation" (50 ECTS)
Complex and Harmonic Analysis (10 ECTS)
Topology and Functional Analysis (10 ECTS)
Analysis 3 (10 ECTS)
Probability Theory (10 ECTS)
Algebra 2 (10 ECTS)
Optimisation and Modelling (10 ECTS)
Differential Equations and Modelling (10 ECTS)
Group of Electives Modules "Specialisation" (30 ECTS)
Gender Aspects in Mathematics (5 ECTS)
Mathematical Logic (10 ECTS)
Geometry and Topology (10 ECTS)
Discrete Mathematics (5 ECTS)
Image and Signalprocessing (5 ECTS)
Variational Calculus (5 ECTS)
Partial Differential Equations (10 ECTS)
Numerical Methods for Ordinary and Partial Differential Equations (10 ECTS)
Number Theory (5 ECTS)
Cryptography (5 ECTS)
Commutative Algebra and Algebraic Geometry (5 ECTS)
Statistics and Data Science (10 ECTS)
Financial Mathematics (10 ECTS)
Biomathematics and Game Theory (5 ECTS)
Machine Learning (10 ECTS)
Dynamical Systems (5 ECTS)
Selected Topics from Probability Theory (10 ECTS)
Current Developments and Applications 1 (10 ECTS)
Current Developments and Applications 2 (5 ECTS)
Compulsory Module Bachelor's Seminar (10 ECTS)
- 250032 SE ( MIXED ) Bachelorseminar
Bachelor Mathematics (621 [3] - Version 2014)
GHM Introductory and Orientation Period (15 ECTS)
EHM Introduction to university level mathematics (18 ECTS)
ANA Analysis (11 ECTS)
LAG Linear algebra and analytical geometry (12 ECTS)
ZTH Number theory (5 ECTS)
PRO Programming (5 ECTS)
HAN Advanced analysis (10 ECTS)
NUM Numerical analysis (10 ECTS)
KAN Complex analysis (5 ECTS)
PTS Probability and statistics (10 ECTS)
- 250068 VO Probability and statistics
- 250069 UE Tutorials on probability theory and statistics
DMA Discrete mathematics (5 ECTS)
- 250098 VO Discrete mathematics
- 250063 UE [ de en ] Tutorials on discrete mathematics
DGL Differential equations (14 ECTS)
- 250037 VO ( REMOTE ) Ordinary differential equations
- 250038 UE ( REMOTE ) Tutorials on ordinary differential equations
ALG Algebra (14 ECTS)
- 250014 VO Algebra 1
- 250015 UE ( MIXED ) Tutorial Algebra 1
MIK Mathematics in the sciences and society (3 ECTS)
- 250021 VO ( MIXED ) History of mathematics and logics
- 250023 KO 15 mathematicals pearls, including prologue, intermezzo and epilogue
- 250157 KO The art of problem solving
TFA Topology and functional analysis (12 ECTS)
- 250090 VO Functional analysis
- 250075 UE ( MIXED ) Tutorials on functional analysis
BAS Bachelor seminar with thesis (10 ECTS)
- 250032 SE ( MIXED ) Bachelorseminar
WLO Mathematical logic (optional module) (7 ECTS)
- 250011 VO [ en ] Fundamentals of Mathematical Logic
- 250012 UE [ en ] Fundamentals of Mathematical Logic, discussion session
WFM Applied mathematics: finance (optional module) (7 ECTS)
WST Stochastics (optional module) (7 ECTS)
WAS Applied mathematics: statistics (optional module) (7 ECTS)
WGO Applied mathematics: graph theory and discrete optimization (optional module) (7 ECTS)
WBS Applied mathematics: biomathematics and game theory (optional module) (7 ECTS)
WDG Classical differential geometry (optional module) (7 ECTS)
WCG Applied mathematics: algorithmic geometry (optional module) (7 ECTS)
WOP Applied mathematics: optimization (optional module) (7 ECTS)
WKR Applied mathematics: cryptography (optional module) (7 ECTS)
WMO Applied mathematics: modelling (optional module) (7 ECTS)
- 250062 VU ( MIXED ) Mathematical modelling
WND Applied mathematics: numerical methods for differential equations (optional module) (7 ECTS)
- 250002 VU ( MIXED ) Numerical methods for differential equations
Additional Optional module (7 ECTS)
- 250009 VU ( MIXED ) Applied machine learning
- 250013 VO Matrix groups
- 250024 UE Tutorials on "Matrix groups"
- 250108 VO [ en ] Introduction to Algebraic Geometry
- 250109 UE [ en ] Tutorials on "Introduction to Algebraic Geometry"
Non curricula lecture
Bachelor Teacher Training Programme: Mathematics (193 057, 198 420)
UFMA01 Introductory and Orientation Period ( 7 ECTS)
- EXAM COMM ON-SITE STEOP: Introduction to mathematics
- 250001 KO Tutorials for 1st and 2nd semester
- 250169 OL Infoveranstaltung für Erstsemestrige
UFMA02 Aspects of Mathematics (3 ECTS)
- 250021 VO ( MIXED ) History of mathematics and logics
- 250023 KO 15 mathematicals pearls, including prologue, intermezzo and epilogue
UFMA03 Geometry (16 ECTS)
- 250159 VO Geometry and linear algebra for secondary school teacher accreditation programme
- 250163 UE ( MIXED PH-NÖ PH-WIEN ) Geometry and linear algebra for secondary school teacher accreditation programme
UFMA04 Analysis (16 ECTS)
- 250166 VO Analysis in one variable for secondary school teacher accreditation programme
- 250167 UE ( REMOTE MIXED KPH Krems ) Analysis in one variable for secondary school teacher accreditation programme
UFMA05 Stochastics (14 ECTS)
- 250171 VO School mathematics stochastics
- 250172 UE ( REMOTE MIXED KPH Krems PH-WIEN ) School mathematics stochastics
UFMA06 Applied mathematics (12 ECTS)
- 250173 VO Applied mathematics for secondary school teacher accreditation programme
- 250174 VO Mathematics in everyday life and in science applications
- 250175 UE ( MIXED PH-NÖ PH-WIEN ) Applied mathematics for secondary school teacher accreditation programm
UFMA07 Teaching Methodology (10 ECTS)
- 250018 VU ( MIXED ) Advanced topics in mathematics education
- 250176 PR ( REMOTE MIXED KPH Krems ) Practicum on using ICT in teaching mathematics
- 250178 SE ( MIXED PH-NÖ PH-WIEN ) Seminar on lesson planning
UFMA08 Arithmetic and algebra for secondary schools (4 ECTS)
UFMA09 Electives Teacher Training Programme (0-10 ECTS)
- 250017 SE ( PH-NÖ ) Lernvideos für einen motivierenden Mathematikunterricht in der Sekundarstufe
- 250021 VO ( MIXED ) History of mathematics and logics
- 250080 PLV ( REMOTE ) Summer school mathematic
- 250114 KO Wahlbereichs - Konversatorium
- 250180 SE ( KPH Krems ) Assessment and grading of students in high-school mathematics
- 250181 SE ( PH-NÖ ) Meine Schüler/innen verstehen mich nicht - Sprachsensibler Mathematikunterricht
UFMA10 Subject-based Practicum - Mathematics (7 ECTS)
- 250183 SE ( MIXED PH-NÖ PH-WIEN ) Seminar for Subject-based Praticum - Mathematics
UFMA11 Bachelormodul (8 ECTS)
- 250032 SE ( MIXED ) Bachelorseminar
Non curricula lectures
Bachelor Teacher Training Programme Descriptive Geometry (193 044, 198 405)
Master Mathematics (821 [2] - Version 2016)
Elective Modules (75 ECTS)
Specialization "Algebra, number theory and dicrete mathematics" (51 ECTS)
Basic courses, specialization "Algebra"
- 250004 SE [ en ] Seminar in Algebra and Number Theory
- 250057 VO [ en ] Group theory
- 250058 PS [ en ] Introductory seminar on group theory
- 250059 VO [ en ] Combinatorics
- 250060 PS [ en ] Introductory seminar on Combinatorics
- 250065 SE [ en ] ( ON-SITE ) Seminar Discrete Mathematics
- 250142 SE [ en ] ( MIXED ) Project Seminar (Algebra)
- 510001 SE [ en ] Representation Theory and Automorphic Forms (VSM)
Advanced courses, specialization "Algebra"
- 250030 VO [ en ] ( MIXED ) Homological Algebra
- 250049 VO [ en ] Commutative Algebra
- 250073 VU [ en ] Topics in Combinatorics
- 250130 VO [ en ] Topics in Algebra: Coxeter Groups
- 250161 PS [ en ] Homological Algebra
Specialization "Analysis" (51 ECTS)
Basic courses, specialization "Analysis"
- 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
- 250034 SE [ en ] ( MIXED ) Topics in Analysis and Geometry
- 250081 VO [ en ] Real analysis
- 250085 SE [ en ] ( REMOTE ) Seminar: Analysis
- 250099 VO [ en ] Advanced functional analysis
- 250115 VO [ en ] Dynamical systems and nonlinear differential equations
- 250121 PS [ en ] ( MIXED ) Introductory seminar on Advanced functional analysis
- 250162 SE [ en ] MCMP Seminar
- 510002 SE [ en ] Seminar on Calculus of Variations (VSM)
- 510003 SE [ en ] PDE Afternoon Seminar (VSM)
- 510004 SE [ en ] Harmonic Analysis (VSM)
Advanced courses, specialization "Analysis"
- 250005 VO [ en ] Approximation Theory
- 250077 VO [ en ] Optimal Transport
- 250086 VO [ en ] ( MIXED ) Moment Problems and Optimal Control
- 250186 VO [ en ] Geometric Measure Theory and Dynamics
Specialization "Applied mathematics and scientific computing" (51 ECTS)
Basic courses, specialization "AMaSciCo"
- 250006 SE [ en ] Seminar: Image Processing
- 250035 SE [ en ] ( MIXED ) Seminar Optimization
- 250070 SE [ en ] ( MIXED ) Seminar Applied PDE
- 250071 PS [ en ] Introductory seminar Advanced numerical analysis
- 250078 VO [ en ] Advanced numerical analysis
- 250084 SE [ en ] ( MIXED ) Mathematical/Computational Astro/Quantum Physics
- 250104 SE [ en ] ( REMOTE ) Project-Seminar Tomography Across the Scales
- 510002 SE [ en ] Seminar on Calculus of Variations (VSM)
- 510003 SE [ en ] PDE Afternoon Seminar (VSM)
- 510004 SE [ en ] Harmonic Analysis (VSM)
Advanced courses, specialization "AMaSciCo"
- 250005 VO [ en ] Approximation Theory
- 250039 VO [ en ] ( REMOTE ) Artificial Intelligence
- 250042 VU [ en ] ( MIXED ) Mathematics of Machine Learning
- 250079 VO [ en ] Topics in Finite Elements
- 250086 VO [ en ] ( MIXED ) Moment Problems and Optimal Control
- 250110 VO [ en ] Introduction to Reinforcement Learning
- 510009 VU [ en ] VGSCO: Approximation Algorithms
Specialization "Biomathematics" (51 ECTS)
Basic courses, specialization "Biomathematics"
- 250087 VO [ en ] Mathematical population genetics
- 250088 PS [ en ] Introductory Seminar on Mathematical Population Genetics
- 250094 SE [ en ] Seminar (Mathematical Population Genetics)
- 250115 VO [ en ] Dynamical systems and nonlinear differential equations
Advanced courses, specialization "Biomathematics"
- 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
- 250031 VU [ en ] Modelling Interacting Particle Systems in Science
- 250105 SE [ en ] Complex Network Analysis Project
- 550001 VO+SE [ en ] Molecular Population Genetics: making sense of sequence data
Specialization "Geometry and Topology" (51 ECTS)
Basic courses, specialization "Geometry"
- 250034 SE [ en ] ( MIXED ) Topics in Analysis and Geometry
- 250044 SE [ en ] Geometry of Black Holes
- 250096 VO [ en ] ( MIXED ) Analysis on manifolds
- 250158 PS [ en ] ( MIXED ) Introductory seminar on Analysis on manifolds
- 250162 SE [ en ] MCMP Seminar
Advanced courses, specialization "Geometry"
- 250045 VO [ en ] Quantum Invariants in Low-Dimensional Topology
- 250047 VO [ en ] Topics in Geometric Analysis
Specialization "Mathematical logic and theoretical informatics" (51 ECTS)
Basic courses, specialization "Logic"
- 250089 SE [ en ] Logic Colloquium
- 250100 VO [ en ] ( MIXED ) Axiomatic set theory 1
- 250102 SE [ en ] ( MIXED ) Research Seminar in Set Theory
- 250179 PS [ en ] Introductory seminar on Axiomatic set theory 1
- 510008 SE [ en ] Research Seminar in Model Theory (VSM)
Advanced courses, specialization "Logic"
- 250053 VO [ en ] ( MIXED ) Special Topics in Set Theory
- 250091 VO [ en ] Special Topics in Model Theory
Specialization "Stochastics and dynamical systems" (51 ECTS)
Basic courses, speicialization "Stochastics"
- 250010 PS [ en ] Introductory Seminar on Dynamical System and Nonlinear Differential Equations
- 250092 SE [ en ] AG Ergodic Theory
- 250107 SE [ en ] Stochastics and Dynamical Systems
- 250115 VO [ en ] Dynamical systems and nonlinear differential equations
- 250185 PS [ en ] Introductory seminar on Advanced probability theory
- 250189 VO [ en ] Advanced probability theory
- 510006 SE [ en ] Vienna Seminar in Mathematical Finance and Probability (VSM)
- 510007 SE [ en ] Vienna Probability Seminar (VSM)
Advanced courses, specialization "Stochastics"
- 250016 VO [ en ] Mathematical Finance (Continuous Time)
- 250093 VO [ en ] Lattice Models
- 250095 PS [ en ] Lattice Models
- 250097 VO [ en ] Homogeneous Dynamics
- 250101 PS [ en ] Mathematical Finance (Continuous Time)
- 250186 VO [ en ] Geometric Measure Theory and Dynamics
Further Electives (15 ECTS)
- 250031 VU [ en ] Modelling Interacting Particle Systems in Science
- 250036 VO [ en ] Topics from Habilitations
- 260075 SE [ en ] Quantum Information and Quantum Many-Body Physics (Journal Club)
Master Teacher Training Programme: Mathematics (196 057, 199 520)
UFMAMA01 Mathematics in Rn (12 ECTS)
UFMAMA02 Advanced mathematics (3 ECTS)
- 250020 VO ( MIXED ) Number theory for pre-service teachers
- 250098 VO Discrete mathematics
UFMAMA03 Application-orientation for mathematic class (4 ECTS)
- 250191 VO ( PH-NÖ ) Schulmathematik Angewandte Mathematik
- 250192 UE ( PH-NÖ ) School mathematics: applied mathematics
UFMAMA04 Optional Courses Teaching Methodology (3 ECTS)
- 250114 KO Wahlbereichs - Konversatorium
- 250143 KO Colloquium of mathematics didactics
- 250146 SE Seminar Subject-specific didactics
UFMAMA05 Practice Module (Didactic Supervision) (4 ECTS)
- 250193 SE ( KPH Krems PH-NÖ PH-WIEN ) Seminar for teaching practice
Master Teacher Training Programme: Descriptive Geometry (196 505)
Last modified: Fr 24.06.2022 00:56
http://ssc-mathematik.univie.ac.at and http://plone.mat.univie.ac.at
of the "StudienServiceCenter" and faculty of mathematics.