Directorate of Studies 25 - Mathematics

Bachelor Mathematics (621 [4] - Version 2021)

Orientation Course

• 250031 OV [ en ] Infoveranstaltung für Erstsemestrige

Group of Compulsory Modules "Core" (90 ECTS)

StEOP: Introduction to the Mathematical Method (16 ECTS)

• EXAM Introduction to mathematical methodology
• 250001 KO Tutorial for first semester students
• 250015 VO STEOP: Introduction to mathematical methodology
• 250016 UE [ en de ] STEOP: Exercises on Introduction to mathematical methodology
• 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 ] 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)

• 250008 KU Tutorials for Analysis and Linear Algebra 1

Analysis 2 (10 ECTS)

Linear Algebra 2 (10 ECTS)

Discrete Mathematics and Computer Science (10 ECTS)

Algebra (10 ECTS)

• 250077 VO Algebra
• 250079 PS [ en de ] Algebra

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 [ de en ] Complex and Harmonic Analysis
• 250019 PS [ en de ] 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)

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)

• 250163 VO Image and Signalprocessing

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)

• 250164 VO Commutative Algebra and Algebraic Geometry

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 Applied machine learning
• 250044 PS Applied 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 (198 622 - Version 2026)

Orientation Course

• 250031 OV [ en ] Infoveranstaltung für Erstsemestrige

Block I (60 ECTS)

BA-UF MA 01 STEOP Mathematics Teacher Education (6 ECTS)

• EXAM Written Module Exame to StEOP teaching subject mathematics
• 250178 VO ( STEOP ) Introduction to mathematical methodology, BEd
• 250001 KO Tutorial for first semester students

BA-UF MA 02 Linear Algebra and Geometry (12 ECTS)

• 250179 UE ( PH-NÖ PH-WIEN ) Introduction to mathematical methodology, BEd

BA-UF MA 03 Teaching and Learning Mathematics 1 (8 ECTS)

BA-UF MA 04 Analysis (18 ECTS)

BA-UF MA 05 Teaching and Learning Mathematics 2 (7 ECTS)

BA-UF MA 06 Probability and Statistics (9 ECTS)

Block IIa (25 ECTS)

BA-UF MA 07 Electives in Mathematics (18 ECTS)

• 250180 VO The historical development of mathematics
• 250183 VU Learning how to learn Mathematics

BA-UF MA 08 Seminar in Mathematics (7 ECTS)

Compulsory module for Subject-Specific School Placement ( 7 ECTS)

BA-UF MA PPS Subject-Specific School Placement: Mathematics (7 ECTS)

Bachelor Teacher Training Programme: Mathematics (193 057, 198 420 - Version 2016) - discontinued

Orientation Course

• 250031 OV [ en ] Infoveranstaltung für Erstsemestrige

UFMA01 Introductory and Orientation Period ( 7 ECTS)

• 250001 KO Tutorial for first semester students
• 250150 VU [ en ] Mastering Math & Mind: Strategies for Learning and Staying on Track

UFMA02 Aspects of Mathematics (3 ECTS)

UFMA03 Geometry (16 ECTS)

• 250034 VO School mathematics elementary geometry and vector analysis
• 250052 UE ( PH-WIEN ) UE Tutorial: elementary geometry and vector analysis

UFMA04 Analysis (16 ECTS)

• 250030 VO ( KPH-W-NÖ ) School mathematics analysis
• 250050 UE ( KPH-W-NÖ PH-NÖ ) UE Tutorial: School mathematics analysis

UFMA05 Stochastics (14 ECTS)

• 250127 VO Stochastics for secondary school teacher accreditation programme
• 250134 UE ( KPH-W-NÖ PH-NÖ ) 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 ( KPH-W-NÖ PH-WIEN ) Seminar on lesson planning
• 250053 PR ( KPH-W-NÖ PH-NÖ ) Practicum on using ICT in teaching mathematics

UFMA08 Arithmetic and algebra for secondary schools (4 ECTS)

• 250036 VO School mathematics arithmetics and algebra
• 250054 UE ( PH-WIEN ) Tutorial: School mathematics arithmetics and algebra

UFMA09 Electives Teacher Training Programme (0-10 ECTS)

• 250017 SE ( PH-NÖ ) Aspekte des Unterrichtsgegenstandes Geometrisch Zeichnen
• 250058 SE ( PH-WIEN ) Lernwerkstatt Mathematics: Discover, Experience, ...
• 250114 KO ( PH-NÖ ) Wahlbereichs - Konversatorium
• 250181 SE Seminar: Enrichment in Secondary School Mathematics Bachelor
• 490400 VU PM1 Digital Transformations

UFMA10 Subject-based Practicum - Mathematics (7 ECTS)

• 250055 PR ( PH-NÖ PH-WIEN ) Subject-Specific School Placement: Mathematics

UFMA11 Bachelormodul (8 ECTS)

• 250004 SE Bachelor seminar

Non curricula lectures

Bachelor Teacher Training Programme Descriptive Geometry (198 605 - Version 2026)

Orientation Course

Block I (60 ECTS)

BA-UF DG 01 Introductory and Orientation Period: School Subject - Descriptive Geometry: Objects and Methods of Descriptive Geometry (6 ECTS)

BA-UF DG 02 Vector Algebra and Analytical Geometry (12 ECTS)

BA-UF DG 03 Curves, Surfaces and Geometric Mapping (16 ECTS)

BA-UF DG 04 Subject-Specific Didactics Teaching Profession and Lesson Planning (4 ECTS)

BA-UF DG 05 Projective Geometry (9 ECTS)

BA-UF DG 06 Digital Geometry (6 ECTS)

BA-UF DG 07 Subject-Specific Didactics: Descriptive Geometry/Technical Drawing (7 ECTS)

Block IIa (25 ECTS)

BA-UF DG 08 Differential Geometry (9 ECTS)

BA-UF DG 09 Geometric Modelling (8 ECTS)

BA-UF DG 10 Bachelor's Seminar (8 ECTS)

Compulsory module for Subject-Specific School Placement (7 ECTS)

BA-UF DG PPS Subject-Specific School Placement in Descriptive Geometry (7 ECTS)

Bachelor Teacher Training Programme Descriptive Geometry (193 044, 198 405 - Version 2016) - discontinued

Bachelor Mathematical Foundations of Data Science (200)

Orientation Course

• 250031 OV [ en ] Infoveranstaltung für Erstsemestrige

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

Introduction to Mathematics in Data Science (16 ECTS)

• 250170 KU [ en ] Programming tutorials

Further compulsory modules including Electives and Data Science Project (149 ECTS)

Foundations in Linear Algebra (17 ECTS)

• 250131 VO [ en ] Introduction to Linear Algebra
• 250132 UE [ en ] Introduction to Linear Algebra

Foundations in Analysis (17 ECTS)

• 250137 VO [ en ] Introduction to Analysis
• 250139 UE [ en ] Introduction to Analysis

Tools and Data Structures (20 ECTS)

• 250169 VU [ en ] VU Tools in Data Science

Core Themes of Data Science (25 ECTS)

Probability and Statistics (20 ECTS)

• 250167 VO [ en ] Introduction to Probability Theory
• 250168 PS [ en ] PS Introduction to Probability Theory

Modelling and Computational Methods (20 ECTS)

• 250165 PS [ en ] PS Optimisation and Numerical Algorithms
• 250166 VO [ en ] Optimization and Numerical Algorithms

Electives (20 ECTS)

Data Science Project (10 ECTS)

Elective module Applied electives (15 ECTS)

Applied Electives (15 ECTS)

Master Mathematics (821 [2] - Version 2016) - discontinued

Orientation Course

Elective Modules (75 ECTS)

Specialization "Algebra, number theory and dicrete mathematics" (51 ECTS)

• 250141 VO [ en ] Algebraic Groups 3

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 ] Research Seminar in Algebra and Number Theory (VSM)

Advanced courses, specialization "Algebra"

• 250045 PS [ en ] Algebraic Number Theory
• 250121 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250151 VO [ en ] Lie Algebras and Representation Theory
• 250155 VO [ en ] Topics in Algebra: Cryptography
• 250157 VU [ en ] Selected Topics in Combinatorics
• 250159 PS [ en ] Several Complex Variables

Specialization "Analysis" (51 ECTS)

Basic courses, specialization "Analysis"

• 250091 PS [ en ] Harmonic Analysis
• 250100 SE [ en ] MCMP Seminar
• 250107 SE [ en ] ( MIXED ) Topics in Analysis and Geometry
• 250123 SE [ en ] Frame Theory - Frame Theory
• 250148 PS [ en ] Dynamical Systems
• 510001 SE [ en ] Calculus of Variations (VSM)
• 510004 SE [ en ] PDE Afternoon Seminar (VSM)

Advanced courses, specialization "Analysis"

• 250029 VO [ en ] Harmonic Analysis
• 250116 VO [ en ] Nonlinear Schrödinger and Wave Equations
• 250143 VO [ en ] Convex Analysis
• 250144 PS [ en ] Convex Analysis
• 250145 VO [ en ] Dynamical Systems
• 250158 VO [ en ] Several Complex Variables
• 250160 VO [ en ] Stochastic Methods in Optimal Transport Theory
• 250161 VO [ en ] Stochastic Partial Differential Equations

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
• 250123 SE [ en ] Frame Theory - Frame Theory
• 250135 SE [ en ] Scientific Computing at the Interface of PDEs and Data
• 510001 SE [ en ] Calculus of Variations (VSM)
• 510004 SE [ en ] PDE Afternoon Seminar (VSM)

Advanced courses, specialization "AMaSciCo"

• 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
• 250143 VO [ en ] Convex Analysis
• 250144 PS [ en ] Convex Analysis
• 250153 VU [ en ] Mathematics of Scientific Machine Learning
• 250154 VU [ en ] Modeling in Evolutionary Ecology and Epidemiology
• 250161 VO [ en ] Stochastic Partial Differential Equations

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
• 250086 PS [ en ] Mathematical Ecology and Pattern Formation
• 250152 VO [ en ] Mathematical Ecology and Pattern Formation
• 250154 VU [ en ] Modeling in Evolutionary Ecology and Epidemiology

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
• 250107 SE [ en ] ( MIXED ) Topics in Analysis and Geometry
• 250108 VO [ en ] Algebraic Geometry
• 250133 SE [ en ] ( MIXED ) Synthetic Geometry

Advanced courses, specialization "Geometry"

• 250081 VO [ en ] Riemannian Geometry
• 250149 VO [ en ] ( MIXED ) Gauge Theory, Lagrangians, and Symmetry
• 250151 VO [ en ] Lie Algebras and Representation Theory

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 ] Research Seminar in Model Theory (VSM)

Advanced courses, specialization "Logic"

• 250113 VO [ en ] Introduction to Model Theory
• 250120 PS [ en ] Introduction to Model Theory
• 250121 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250162 VO [ en ] Topics in Axiomatic Set 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
• 250129 SE [ en ] Stochastics and Dynamics
• 510006 SE [ en ] Vienna Seminar in Mathematical Finance and Probability (VSM)
• 510007 SE [ en ] Vienna Probability Seminar (VSM)

Advanced courses, specialization "Stochastics"

• 250160 VO [ en ] Stochastic Methods in Optimal Transport Theory
• 250161 VO [ en ] Stochastic Partial Differential Equations

Further Electives (15 ECTS)

Master Mathematics (821 [3] - Version 2025)

Orientation Course

• 250147 OV [ en ] ( OV ) Information for beginning master students - Orientation Event

ML1 Core Module (30 ECTS)

Introductory Seminar Core Module

• 250045 PS [ en ] Algebraic Number Theory
• 250047 PS [ en ] Combinatorics
• 250048 PS [ en ] Applied Analysis
• 250049 PS [ en ] Nonlinear Optimization
• 250061 PS [ en ] Algebraic Topology
• 250062 PS [ en ] Advanced Measure Theory
• 250063 PS [ en ] Stochastic Processes
• 250064 PS [ en ] Introduction to Mathematical Logic
• 250091 PS [ en ] Harmonic Analysis
• 250120 PS [ en ] Introduction to Model Theory

Lecture Core Module

• 250006 VO [ en ] Algebraic Number Theory
• 250007 VO [ en ] Combinatorics
• 250009 VO [ en ] Applied Analysis
• 250010 VO [ en ] Nonlinear Optimization
• 250026 VO [ en ] Algebraic Topology
• 250029 VO [ en ] Harmonic Analysis
• 250041 VO [ en ] Advanced Measure Theory
• 250042 VO [ en ] Stochastic Processes
• 250043 VO [ en ] Introduction to Mathematical Logic
• 250113 VO [ en ] Introduction to Model Theory

ML2 Specialisation Module (30 ECTS)

• 250072 VO [ en ] Lie Groups
• 250081 VO [ en ] Riemannian Geometry
• 250085 PS [ en ] Lie Groups
• 250086 PS [ en ] Mathematical Ecology and Pattern Formation
• 250108 VO [ en ] Algebraic 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
• 250121 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250141 VO [ en ] Algebraic Groups 3
• 250143 VO [ en ] Convex Analysis
• 250144 PS [ en ] Convex Analysis
• 250145 VO [ en ] Dynamical Systems
• 250148 PS [ en ] Dynamical Systems
• 250149 VO [ en ] ( MIXED ) Gauge Theory, Lagrangians, and Symmetry
• 250151 VO [ en ] Lie Algebras and Representation Theory
• 250152 VO [ en ] Mathematical Ecology and Pattern Formation
• 250153 VU [ en ] Mathematics of Scientific Machine Learning
• 250154 VU [ en ] Modeling in Evolutionary Ecology and Epidemiology
• 250155 VO [ en ] Topics in Algebra: Cryptography
• 250156 PS [ en ] Riemannian Geometry
• 250157 VU [ en ] Selected Topics in Combinatorics
• 250158 VO [ en ] Several Complex Variables
• 250159 PS [ en ] Several Complex Variables
• 250160 VO [ en ] Stochastic Methods in Optimal Transport Theory
• 250161 VO [ en ] Stochastic Partial Differential Equations
• 250162 VO [ en ] Topics in Axiomatic Set Theory

MSE Seminars (8 ECTS)

• 250089 SE [ en ] AG Biomathematics
• 250090 SE [ en ] AG Ergodic Theory
• 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
• 250104 SE [ en ] Project Seminar (Algebra)
• 250106 SE [ en ] Tomography 1
• 250107 SE [ en ] ( MIXED ) Topics in Analysis and Geometry
• 250123 SE [ en ] Frame Theory - Frame Theory
• 250129 SE [ en ] Stochastics and Dynamics
• 250133 SE [ en ] ( MIXED ) Synthetic Geometry
• 250135 SE [ en ] Scientific Computing at the Interface of PDEs and Data
• 250136 SE [ en ] PDEs and Mathematical Physics
• 250138 SE [ en ] Vienna Geometric Analysis Seminar
• 510001 SE [ en ] Calculus of Variations (VSM)
• 510002 SE [ en ] Research Seminar in Algebra and Number Theory (VSM)
• 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 ] Research Seminar in Model Theory (VSM)

MEL Electives (22 ECTS)

• 250006 VO [ en ] Algebraic Number Theory
• 250007 VO [ en ] Combinatorics
• 250009 VO [ en ] Applied Analysis
• 250010 VO [ en ] Nonlinear Optimization
• 250026 VO [ en ] Algebraic Topology
• 250029 VO [ en ] Harmonic Analysis
• 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
• 250061 PS [ en ] Algebraic Topology
• 250062 PS [ en ] Advanced Measure Theory
• 250063 PS [ en ] Stochastic Processes
• 250064 PS [ en ] Introduction to Mathematical Logic
• 250072 VO [ en ] Lie Groups
• 250081 VO [ en ] Riemannian Geometry
• 250085 PS [ en ] Lie Groups
• 250086 PS [ en ] Mathematical Ecology and Pattern Formation
• 250089 SE [ en ] AG Biomathematics
• 250090 SE [ en ] AG Ergodic Theory
• 250091 PS [ en ] Harmonic Analysis
• 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
• 250104 SE [ en ] Project Seminar (Algebra)
• 250106 SE [ en ] Tomography 1
• 250107 SE [ en ] ( MIXED ) Topics in Analysis and Geometry
• 250108 VO [ en ] Algebraic Geometry
• 250113 VO [ en ] Introduction to Model Theory
• 250116 VO [ en ] Nonlinear Schrödinger and Wave Equations
• 250117 VO [ en ] Numerics of Partial Differential Equations
• 250118 PS [ en ] Numerics of Partial Differential Equations
• 250120 PS [ en ] Introduction to Model Theory
• 250121 VO [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250122 PS [ en ] Quantum Information, Quantum Computing, and Quantum Algorithms
• 250123 SE [ en ] Frame Theory - Frame Theory
• 250129 SE [ en ] Stochastics and Dynamics
• 250133 SE [ en ] ( MIXED ) Synthetic Geometry
• 250135 SE [ en ] Scientific Computing at the Interface of PDEs and Data
• 250141 VO [ en ] Algebraic Groups 3
• 250143 VO [ en ] Convex Analysis
• 250144 PS [ en ] Convex Analysis
• 250145 VO [ en ] Dynamical Systems
• 250148 PS [ en ] Dynamical Systems
• 250149 VO [ en ] ( MIXED ) Gauge Theory, Lagrangians, and Symmetry
• 250151 VO [ en ] Lie Algebras and Representation Theory
• 250152 VO [ en ] Mathematical Ecology and Pattern Formation
• 250153 VU [ en ] Mathematics of Scientific Machine Learning
• 250154 VU [ en ] Modeling in Evolutionary Ecology and Epidemiology
• 250155 VO [ en ] Topics in Algebra: Cryptography
• 250156 PS [ en ] Riemannian Geometry
• 250157 VU [ en ] Selected Topics in Combinatorics
• 250158 VO [ en ] Several Complex Variables
• 250159 PS [ en ] Several Complex Variables
• 250160 VO [ en ] Stochastic Methods in Optimal Transport Theory
• 250161 VO [ en ] Stochastic Partial Differential Equations
• 250162 VO [ en ] Topics in Axiomatic Set Theory
• 510001 SE [ en ] Calculus of Variations (VSM)
• 510002 SE [ en ] Research Seminar in Algebra and Number Theory (VSM)
• 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 ] Research Seminar in Model Theory (VSM)

Master Teacher Training Programme Mathematics (199 520 [2] - Version 2026)

Block IIb (25 ECTS)

MA-UF MA 01 Electives in Mathematics 1 (18 ECTS)

• 250171 VO ( PH-NÖ ) Constructive geometry and CAD
• 250172 UE ( PH-NÖ ) Constructive geometry and CAD
• 250173 VO Complex analysis
• 250174 UE Complex analysis
• 250180 VO The historical development of mathematics
• 250183 VU Learning how to learn Mathematics

MA-UF MA 02 Seminar in Mathematics (7 ECTS)

Block III (20 ECTS)

MA-UF MA 03 Number Theory and Basic Algebra (7 ECTS)

MA-UF MA 04 Teaching and Learning Mathematics 3 (5 ECTS)

• 250175 VU ( PH-WIEN ) Language and diversity in mathematics

Choice 1

Choice 2

• 250035 VO Indroduction to didactics
• 250088 PS Didactical aspects of problem solving
• 250146 SE Seminar on mathematics education

MA-UF MA 05 Electives in Mathematics 2 (8 ECTS)

• 250171 VO ( PH-NÖ ) Constructive geometry and CAD
• 250172 UE ( PH-NÖ ) Constructive geometry and CAD
• 250173 VO Complex analysis
• 250174 UE Complex analysis

Final Phase (30 ECTS)

MA-UF MA 06 Final Module (4 ECTS)

• 250176 SE Master's Thesis Seminar

Master Teacher Training Programme: Mathematics (196 057, 199 520 Version 2017) - discontiuned

UFMAMA01 Mathematics in Rn (12 ECTS)

UFMAMA02 Advanced mathematics (3 ECTS)

• 250173 VO Complex analysis
• 250174 UE Complex analysis

UFMAMA03 Application-orientation for mathematic class (4 ECTS)

UFMAMA04 Optional Courses Teaching Methodology (3 ECTS)

• 250002 SE ( PH-NÖ ) Task pool SRDP AHS and BHS
• 250088 PS Didactical aspects of problem solving
• 250146 SE Seminar on mathematics education
• 250182 SE Seminar: Enrichment in Secondary School Mathematics Master

UFMAMA05 Practice Module (Didactic Supervision) (4 ECTS)

Master Teacher Training Programme Descriptive Geometry (199 505 [2] - Version 2026)

Block IIb (25 ECTS)

MA-UF DG 01 Differential Geometry (9 ECTS)

MA-UF DG 02 Electives in Geometry 1 (8 ECTS)

MA-UF DG 03 Geometric Modelling (8 ECTS)

Block III (20 ECTS)

MA-UF DG 04 Teaching Methodology: Digital Geometry (4 ECTS)

MA-UF DG 05 Topics in higher Geometry (4 ECTS)

MA-UF DG 06 Applied Geometry (4 ECTS)

MA-UF DG 07 Electives in Geometry 2 (8 ECTS)

Final Phase (30 ECTS)

MA-UF DG 08 Final Module (4 ECTS)

Master Teacher Training Programme: Descriptive Geometry (196 505 Version 2015) - discontinued