Warning! The directory is not yet complete and will be amended until the beginning of the term.
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)
- 250001 KO Tutorial for first semester students
- 250015 VO STEOP: Introduction to mathematical methodology
- 250016 UE [ de en ] STEOP: Exercises on Introduction to mathematical methodology
- 250031 OL ( OV ) Infoveranstaltung für Erstsemestrige
- 250150 VU [ en ] Mastering Math & Mind: Strategies for Learning and Staying on Track
IT Basics (2 ECTS)
- 250040 PR IT Basics
Introduction to Higher Mathematics (12 ECTS)
- 250011 VO Analysis 1
- 250012 PS [ en de ] Analysis and Linear Algebra 1
- 250013 VO Linear Algebra 1
Alternative Compulsory Module: Mathematical Programming (2 ECTS)
- 250014 VU Mathematical programming
Alternative Compulsory Module: Exercise for Advanced Students (2 ECTS)
Analysis 2 (10 ECTS)
Linear Algebra 2 (10 ECTS)
Discrete Mathematics and Computer Science (10 ECTS)
Algebra (10 ECTS)
Numerical Mathematics (10 ECTS)
- 250080 VO Numerical Mathematics
- 250082 PS [ de en ] Numerical Mathematics
Integration and Stochastics (10 ECTS)
- 250067 VO Integration and Stochastics
- 250073 PS [ de en ] Integration and Stochastics
Group of Elective Modules "Foundation" (50 ECTS)
Complex and Harmonic Analysis (10 ECTS)
- 250018 VO Complex and Harmonic Analysis
- 250019 PS [ de en ] Complex and Harmonic Analysis
Topology and Functional Analysis (10 ECTS)
- 250020 VO Topology and Functional Analysis
- 250021 PS [ de en ] Topology and Functional Analysis
Analysis 3 (10 ECTS)
Probability Theory (10 ECTS)
Algebra 2 (10 ECTS)
Optimisation and Modelling (10 ECTS)
Differential Equations and Modelling (10 ECTS)
- 250022 VO Differential Equations and Modelling
- 250023 PS Differential Equations and Modelling
Group of Electives Modules "Specialisation" (30 ECTS)
Gender Aspects in Mathematics (5 ECTS)
Mathematical Logic (10 ECTS)
- 250046 VO [ en ] Mathematical Logic
- 250057 PS [ en ] Mathematical Logic
Geometry and Topology (10 ECTS)
- 250003 VO [ en ] Geometry and Topology
- 250005 PS [ en ] Geometry and Topology
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)
- 250024 VO Number Theory
Cryptography (5 ECTS)
Commutative Algebra and Algebraic Geometry (5 ECTS)
Statistics and Data Science (10 ECTS)
Financial Mathematics (10 ECTS)
- 250037 VO Financial Mathematics
- 250038 PS Financial Mathematics
Biomathematics and Game Theory (5 ECTS)
Machine Learning (10 ECTS)
- 250039 VO Machine Learning
- 250044 PS Machine Learning
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)
- 250065 VU The art of problem solving
Compulsory Module Bachelor's Seminar (10 ECTS)
- 250004 SE Bachelor seminar
Bachelor Teacher Training Programme: Mathematics (193 057, 198 420)
UFMA01 Introductory and Orientation Period ( 7 ECTS)
- 250001 KO Tutorial for first semester students
- 250031 OL ( OV ) Infoveranstaltung für Erstsemestrige
- 250032 VO STEOP: Introduction to mathematics
- 250056 PUE Problem sessions and tutorial for introduction to mathematics
- 250150 VU [ en ] Mastering Math & Mind: Strategies for Learning and Staying on Track
UFMA02 Aspects of Mathematics (3 ECTS)
- 250033 VO Aspects of mathematics
UFMA03 Geometry (16 ECTS)
- 250034 VO School mathematics elementary geometry and vector analysis
- 250052 UE ( PH-WIEN ) UE Tutorial: elementary geometry and vector analysis
- 250111 VO Schulmathematik Elementare und Konstruktive Geometrie
- 250112 UE UE Tutorial: School mathematics elementary and constructive geometry
UFMA04 Analysis (16 ECTS)
- 250030 VO School mathematics analysis
- 250050 UE ( PH-WIEN ) UE Tutorial: School mathematics analysis
UFMA05 Stochastics (14 ECTS)
- 250127 VO Stochastics for secondary school teacher accreditation programme
- 250134 UE UE Tutorial: Stochastics for secondary school teacher accreditation programme
UFMA06 Applied mathematics (12 ECTS)
UFMA07 Teaching Methodology (10 ECTS)
- 250035 VO Indroduction to didactics
- 250051 SE ( PH-WIEN ) Seminar on lesson planning
- 250053 PR ( KPH Krems ) Practicum on using ICT in teaching mathematics
UFMA08 Arithmetic and algebra for secondary schools (4 ECTS)
- 250036 VO ( PH-WIEN ) School mathematics arithmetics and algebra
- 250054 UE ( PH-WIEN ) UE Tutorial: School mathematics arithmetics and algebra
UFMA09 Electives Teacher Training Programme (0-10 ECTS)
- 250017 SE Aspekte des Unterrichtsgegenstandes Geometrisch Zeichnen - Aspekte des Unterrichtsgegenstandes Geometrisch Zeichnen
- 250058 SE ( PH-WIEN ) Lernwerkstatt Mathematics: Discover, Experience, ...
- 250083 SE Videos for secondary school mathematics
- 250114 KO Wahlbereichs - Konversatorium
- 250144 SE Teaching mathematics between theory and practice
- 250181 SE ( PH-WIEN ) Meine Schüler/innen verstehen mich nicht - Sprachsensibler Mathematikunterricht
- 490400 VU PM1 Digital Transformations
UFMA10 Subject-based Practicum - Mathematics (7 ECTS)
- 250055 SE ( PH-WIEN ) Begleitendes Seminar zum fachbezogenen Schulpraktikum
UFMA11 Bachelormodul (8 ECTS)
- 250004 SE Bachelor seminar
- 250144 SE Teaching mathematics between theory and practice
Non curricula lectures
Bachelor Teacher Training Programme Descriptive Geometry (193 044, 198 405)
Master Mathematics (821 [2] - Version 2016) - discontinued
Orientation Course
Elective Modules (75 ECTS)
Specialization "Algebra, number theory and dicrete mathematics" (51 ECTS)
- 250109 VO [ en ] Algebraic Groups
Basic courses, specialization "Algebra"
- 250006 VO [ en ] Algebraic Number Theory
- 250007 VO [ en ] Combinatorics
- 250047 PS [ en ] Combinatorics
- 250095 SE [ en ] Discrete Mathematics
- 250104 SE [ en ] Project Seminar (Algebra)
- 250108 VO [ en ] Algebraic Geometry
- 510002 SE [ en ] MSE Seminar (4 ECTS)
Advanced courses, specialization "Algebra"
- 250045 PS [ en ] Algebraic Number Theory
- 250078 VO [ en ] Random Groups
- 250121 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
- 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
Specialization "Analysis" (51 ECTS)
Basic courses, specialization "Analysis"
- 250025 VO [ en ] Advanced Partial Differential Equations
- 250060 PS [ en ] Advanced Partial Differential Equations
- 250092 SE [ en ] Fluid Dynamics
- 250100 SE [ en ] MCMP Seminar
- 250107 SE [ en ] Topics in Analysis and Geometry
- 250124 VU [ en ] Introduction to Brakke's mean curvature flow
- 510001 SE [ en ] MSE Seminar (4 ECTS)
- 510003 SE [ en ] MSE Seminar (4 ECTS)
- 510004 SE [ en ] PDE Afternoon Seminar (VSM)
Advanced courses, specialization "Analysis"
- 250068 VO [ en ] Stochastic Analysis
- 250071 VO [ en ] Frame Theory
- 250087 PS [ en ] Stochastic Analysis
- 250116 VO [ en ] Nonlinear Schrödinger and Wave Equations
- 250117 VO [ en ] Numerics of Partial Differential Equations
- 250118 PS [ en ] Numerics of Partial Differential Equations
- 250119 VO [ en ] Optimal Transport
Specialization "Applied mathematics and scientific computing" (51 ECTS)
- 250106 SE [ en ] Tomography 1
Basic courses, specialization "AMaSciCo"
- 250009 VO [ en ] Applied Analysis
- 250010 VO [ en ] Nonlinear Optimization
- 250093 SE [ en ] Applied Machine Learning
- 250094 SE [ en ] Applied Mathematics
- 250096 SE [ en ] Joint Seminar with Fudan University and RICAM
- 250098 SE [ en ] Mathematical/Computational Astro/Quantum Physics
- 250101 SE [ en ] Optimization
- 510001 SE [ en ] MSE Seminar (4 ECTS)
- 510003 SE [ en ] MSE Seminar (4 ECTS)
- 510004 SE [ en ] PDE Afternoon Seminar (VSM)
Advanced courses, specialization "AMaSciCo"
- 250069 VU [ en ] Tomography and its Inverse Problem
- 250070 VU [ en ] Regularization Theory: From Functional Analysis to Machine Learning
- 250071 VO [ en ] Frame Theory
- 250074 VO [ en ] Introduction to complex network analysis
- 250084 PS [ en ] Introduction to complex network analysis
- 250116 VO [ en ] Nonlinear Schrödinger and Wave Equations
- 250117 VO [ en ] Numerics of Partial Differential Equations
- 250118 PS [ en ] Numerics of Partial Differential Equations
- 250121 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
- 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
Specialization "Biomathematics" (51 ECTS)
Basic courses, specialization "Biomathematics"
- 250041 VO [ en ] Advanced Measure Theory
- 250042 VO [ en ] Stochastic Processes
- 250089 SE [ en ] AG Biomathematics
- 250099 SE [ en ] Mathematical Population Genetics
Advanced courses, specialization "Biomathematics"
- 250063 PS [ en ] Stochastic Processes
- 250066 VO [ en ] Mathematical Ecology and Pattern Formation
- 250074 VO [ en ] Introduction to complex network analysis
- 250075 VO [ en ] Mathematics of Reaction Networks
- 250084 PS [ en ] Introduction to complex network analysis
- 250086 PS [ en ] Mathematical Ecology and Pattern Formation
Specialization "Geometry and Topology" (51 ECTS)
Basic courses, specialization "Geometry"
- 250026 VO [ en ] Algebraic Topology
- 250061 PS [ en ] Algebraic Topology
- 250072 VO [ en ] Lie Groups
- 250081 VO [ en ] Riemannian Geometry
- 250085 PS [ en ] Lie Groups
- 250105 SE [ en ] Synthetic Geometry
- 250107 SE [ en ] Topics in Analysis and Geometry
- 250108 VO [ en ] Algebraic Geometry
- 250110 VO [ en ] Differential Topology
- 250115 VO [ en ] Lorentzian Geometry
- 250124 VU [ en ] Introduction to Brakke's mean curvature flow
Advanced courses, specialization "Geometry"
- 250119 VO [ en ] Optimal Transport
Specialization "Mathematical logic and theoretical informatics" (51 ECTS)
Basic courses, specialization "Logic"
- 250043 VO [ en ] Introduction to Mathematical Logic
- 250064 PS [ en ] Introduction to Mathematical Logic
- 250097 SE [ en ] Logic Colloquium
- 250102 SE [ en ] Research Seminar in Set Theory
- 510010 SE [ en ] Seminar mathematics (doctoral programm) 2/4
Advanced courses, specialization "Logic"
- 250121 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
- 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
- 250125 VO [ en ] Topics in Set Theory
- 250126 VO [ en ] Topics in Model Theory
Specialization "Stochastics and dynamical systems" (51 ECTS)
Basic courses, speicialization "Stochastics"
- 250041 VO [ en ] Advanced Measure Theory
- 250042 VO [ en ] Stochastic Processes
- 250062 PS [ en ] Advanced Measure Theory
- 250063 PS [ en ] Stochastic Processes
- 250090 SE [ en ] AG Ergodic Theory
- 250103 SE [ en ] Stochastics
- 510006 SE [ en ] Vienna Seminar in Mathematical Finance and Probability (VSM)
- 510007 SE [ en ] Vienna Probability Seminar (VSM)
Advanced courses, specialization "Stochastics"
- 250068 VO [ en ] Stochastic Analysis
- 250087 PS [ en ] Stochastic Analysis
- 250119 VO [ en ] Optimal Transport
Further Electives (15 ECTS)
- 250076 VO [ en ] Proof Principles
Master Mathematics (821 [3] - Version 2025)
ML1 Core Module (30 ECTS)
- 250147 OL [ en ] ( OV ) Information for beginning master students
Introductory Seminar Core Module
- 250045 PS [ en ] Algebraic Number Theory
- 250047 PS [ en ] Combinatorics
- 250048 PS [ en ] Applied Analysis
- 250049 PS [ en ] Nonlinear Optimization
- 250060 PS [ en ] Advanced Partial Differential Equations
- 250061 PS [ en ] Algebraic Topology
- 250062 PS [ en ] Advanced Measure Theory
- 250063 PS [ en ] Stochastic Processes
- 250064 PS [ en ] Introduction to Mathematical Logic
Lecture Core Module
- 250006 VO [ en ] Algebraic Number Theory
- 250007 VO [ en ] Combinatorics
- 250009 VO [ en ] Applied Analysis
- 250010 VO [ en ] Nonlinear Optimization
- 250025 VO [ en ] Advanced Partial Differential Equations
- 250026 VO [ en ] Algebraic Topology
- 250041 VO [ en ] Advanced Measure Theory
- 250042 VO [ en ] Stochastic Processes
- 250043 VO [ en ] Introduction to Mathematical Logic
ML2 Specialisation Module (30 ECTS)
- 250066 VO [ en ] Mathematical Ecology and Pattern Formation
- 250068 VO [ en ] Stochastic Analysis
- 250069 VU [ en ] Tomography and its Inverse Problem
- 250070 VU [ en ] Regularization Theory: From Functional Analysis to Machine Learning
- 250071 VO [ en ] Frame Theory
- 250072 VO [ en ] Lie Groups
- 250074 VO [ en ] Introduction to complex network analysis
- 250075 VO [ en ] Mathematics of Reaction Networks
- 250076 VO [ en ] Proof Principles
- 250078 VO [ en ] Random Groups
- 250081 VO [ en ] Riemannian Geometry
- 250084 PS [ en ] Introduction to complex network analysis
- 250085 PS [ en ] Lie Groups
- 250086 PS [ en ] Mathematical Ecology and Pattern Formation
- 250087 PS [ en ] Stochastic Analysis
- 250108 VO [ en ] Algebraic Geometry
- 250109 VO [ en ] Algebraic Groups
- 250110 VO [ en ] Differential Topology
- 250115 VO [ en ] Lorentzian Geometry
- 250116 VO [ en ] Nonlinear Schrödinger and Wave Equations
- 250117 VO [ en ] Numerics of Partial Differential Equations
- 250118 PS [ en ] Numerics of Partial Differential Equations
- 250119 VO [ en ] Optimal Transport
- 250121 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
- 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
- 250124 VU [ en ] Introduction to Brakke's mean curvature flow
- 250125 VO [ en ] Topics in Set Theory
- 250126 VO [ en ] Topics in Model Theory
MSE Seminars (8 ECTS)
- 250089 SE [ en ] AG Biomathematics
- 250090 SE [ en ] AG Ergodic Theory
- 250092 SE [ en ] Fluid Dynamics
- 250093 SE [ en ] Applied Machine Learning
- 250094 SE [ en ] Applied Mathematics
- 250095 SE [ en ] Discrete Mathematics
- 250096 SE [ en ] Joint Seminar with Fudan University and RICAM
- 250097 SE [ en ] Logic Colloquium
- 250098 SE [ en ] Mathematical/Computational Astro/Quantum Physics
- 250099 SE [ en ] Mathematical Population Genetics
- 250100 SE [ en ] MCMP Seminar
- 250101 SE [ en ] Optimization
- 250102 SE [ en ] Research Seminar in Set Theory
- 250103 SE [ en ] Stochastics
- 250104 SE [ en ] Project Seminar (Algebra)
- 250105 SE [ en ] Synthetic Geometry
- 250106 SE [ en ] Tomography 1
- 250107 SE [ en ] Topics in Analysis and Geometry
- 510001 SE [ en ] MSE Seminar (4 ECTS)
- 510002 SE [ en ] MSE Seminar (4 ECTS)
- 510003 SE [ en ] MSE Seminar (4 ECTS)
- 510004 SE [ en ] PDE Afternoon Seminar (VSM)
- 510006 SE [ en ] Vienna Seminar in Mathematical Finance and Probability (VSM)
- 510007 SE [ en ] Vienna Probability Seminar (VSM)
- 510010 SE [ en ] Seminar mathematics (doctoral programm) 2/4
MEL Electives (22 ECTS)
- 250006 VO [ en ] Algebraic Number Theory
- 250007 VO [ en ] Combinatorics
- 250009 VO [ en ] Applied Analysis
- 250010 VO [ en ] Nonlinear Optimization
- 250025 VO [ en ] Advanced Partial Differential Equations
- 250026 VO [ en ] Algebraic Topology
- 250041 VO [ en ] Advanced Measure Theory
- 250042 VO [ en ] Stochastic Processes
- 250043 VO [ en ] Introduction to Mathematical Logic
- 250045 PS [ en ] Algebraic Number Theory
- 250047 PS [ en ] Combinatorics
- 250048 PS [ en ] Applied Analysis
- 250049 PS [ en ] Nonlinear Optimization
- 250060 PS [ en ] Advanced Partial Differential Equations
- 250061 PS [ en ] Algebraic Topology
- 250062 PS [ en ] Advanced Measure Theory
- 250063 PS [ en ] Stochastic Processes
- 250064 PS [ en ] Introduction to Mathematical Logic
- 250066 VO [ en ] Mathematical Ecology and Pattern Formation
- 250068 VO [ en ] Stochastic Analysis
- 250069 VU [ en ] Tomography and its Inverse Problem
- 250070 VU [ en ] Regularization Theory: From Functional Analysis to Machine Learning
- 250071 VO [ en ] Frame Theory
- 250072 VO [ en ] Lie Groups
- 250074 VO [ en ] Introduction to complex network analysis
- 250075 VO [ en ] Mathematics of Reaction Networks
- 250076 VO [ en ] Proof Principles
- 250078 VO [ en ] Random Groups
- 250081 VO [ en ] Riemannian Geometry
- 250084 PS [ en ] Introduction to complex network analysis
- 250085 PS [ en ] Lie Groups
- 250086 PS [ en ] Mathematical Ecology and Pattern Formation
- 250087 PS [ en ] Stochastic Analysis
- 250089 SE [ en ] AG Biomathematics
- 250090 SE [ en ] AG Ergodic Theory
- 250092 SE [ en ] Fluid Dynamics
- 250093 SE [ en ] Applied Machine Learning
- 250094 SE [ en ] Applied Mathematics
- 250095 SE [ en ] Discrete Mathematics
- 250096 SE [ en ] Joint Seminar with Fudan University and RICAM
- 250097 SE [ en ] Logic Colloquium
- 250098 SE [ en ] Mathematical/Computational Astro/Quantum Physics
- 250099 SE [ en ] Mathematical Population Genetics
- 250100 SE [ en ] MCMP Seminar
- 250101 SE [ en ] Optimization
- 250102 SE [ en ] Research Seminar in Set Theory
- 250103 SE [ en ] Stochastics
- 250104 SE [ en ] Project Seminar (Algebra)
- 250105 SE [ en ] Synthetic Geometry
- 250106 SE [ en ] Tomography 1
- 250107 SE [ en ] Topics in Analysis and Geometry
- 250108 VO [ en ] Algebraic Geometry
- 250109 VO [ en ] Algebraic Groups
- 250110 VO [ en ] Differential Topology
- 250115 VO [ en ] Lorentzian Geometry
- 250116 VO [ en ] Nonlinear Schrödinger and Wave Equations
- 250117 VO [ en ] Numerics of Partial Differential Equations
- 250118 PS [ en ] Numerics of Partial Differential Equations
- 250119 VO [ en ] Optimal Transport
- 250121 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
- 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
- 250125 VO [ en ] Topics in Set Theory
- 250126 VO [ en ] Topics in Model Theory
- 510001 SE [ en ] MSE Seminar (4 ECTS)
- 510002 SE [ en ] MSE Seminar (4 ECTS)
- 510003 SE [ en ] MSE Seminar (4 ECTS)
- 510004 SE [ en ] PDE Afternoon Seminar (VSM)
- 510006 SE [ en ] Vienna Seminar in Mathematical Finance and Probability (VSM)
- 510007 SE [ en ] Vienna Probability Seminar (VSM)
- 510010 SE [ en ] Seminar mathematics (doctoral programm) 2/4
Master Teacher Training Programme: Mathematics (196 057, 199 520)
UFMAMA01 Mathematics in Rn (12 ECTS)
- 250027 VO Linear algebra and mathematical analysis in several variables for pre-service teachers
- 250028 UE UE Linear algebra and mathematical analysis in several variables for pre-service teachers
UFMAMA02 Advanced mathematics (3 ECTS)
- 250059 VO Function theory for pre-service teachers
UFMAMA03 Application-orientation for mathematic class (4 ECTS)
UFMAMA04 Optional Courses Teaching Methodology (3 ECTS)
- 250002 SE Task pool SRDP AHS and BHS
- 250088 PS Didactical aspects of problem solving
- 250146 SE Seminar on mathematics education
UFMAMA05 Practice Module (Didactic Supervision) (4 ECTS)
- 250193 SE ( PH-WIEN ) Seminar for teaching practice
Master Teacher Training Programme: Descriptive Geometry (196 505)
Bachelor Mathematical Foundations of Data Science 200 [1]
Introductory and orientation phase (StEOP) (16 ECTS)
- 250128 VO [ en ] STEOP: Introduction to Mathematics in Data Science
- 250130 UE [ en ] STEOP: Introduction to Mathematics in Data Science (Gruppe 4)
Introduction to Mathematics in Data Science (16 ECTS)
Further compulsory modules including Electives and Data Science Project (149 ECTS)
Foundations in Linear Algebra (17 ECTS)
- 250131 VO [ en ] VO Introduction to Linear Algebra
- 250132 UE [ en ] Introduction to Linear Algebra (Gruppe 4)
Foundations in Analysis (17 ECTS)
- 250137 VO [ en ] Introduction to Analysis
- 250139 UE [ en ] Introduction to Analysis (Gruppe 4)
Tools and Data Structures (20 ECTS)
Core Themes of Data Science (25 ECTS)
Probability and Statistics (20 ECTS)
Modelling and Computational Methods (20 ECTS)
Electives (20 ECTS)
Data Science Project (10 ECTS)
Elective module Applied electives (15 ECTS)
Applied Electives (15 ECTS)
Last modified: Fr 27.06.2025 00:46
http://ssc-mathematik.univie.ac.at and http://plone.mat.univie.ac.at
of the "StudienServiceCenter" and faculty of mathematics.