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 ON-SITE Introduction to mathematical methodology
- 250001 KO ( REMOTE ) Tutorial for first semester students
- 250015 VO ( MIXED ) STEOP: Introduction to mathematical methodology
- 250016 UE ( REMOTE MIXED ) STEOP: Exercises on Introduction to mathematical methodology
- 250132 OL ( REMOTE ) Infoveranstaltung für Erstsemestrige des Bachelor Mathematik
IT Basics (2 ECTS)
- 250040 PR ( REMOTE ) IT Basics
Introduction to Higher Mathematics (12 ECTS)
- 250011 VO ( MIXED ) Analysis 1
- 250012 PS [ de en ] ( ON-SITE ) Analysis and Linear Algebra 1
- 250013 VO ( MIXED ) Linear Algebra 1
Alternative Compulsory Module: Mathematical Programming (2 ECTS)
- 250014 VU ( REMOTE ) Mathematical programming
Alternative Compulsory Module: Exercise for Advanced Students (2 ECTS)
- 250008 KU ( MIXED ) 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)
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)
Bachelor Mathematics (621 [3] - Version 2014)
GHM Introductory and Orientation Period (15 ECTS)
- 250001 KO ( REMOTE ) Tutorial for first semester students
EHM Introduction to university level mathematics (18 ECTS)
ANA Analysis (11 ECTS)
LAG Linear algebra and analytical geometry (12 ECTS)
- 250037 VO ( MIXED ) Linear algebra and geometry 2
ZTH Number theory (5 ECTS)
PRO Programming (5 ECTS)
HAN Advanced analysis (10 ECTS)
- 250017 VO ( REMOTE ) Advanced analysis and elementary differential geometry
- 250018 UE [ en de ] ( MIXED ) Tutorials on advanced analysis and differential geometry
- 250039 UE ( MIXED ) Tutorials for "Introduction to linear algebra and geometry"
NUM Numerical analysis (10 ECTS)
- 250023 VO ( MIXED ) Numeric mathematics 1
- 250024 UE [ en de ] ( MIXED ) Tutorials for "Numeric mathematics 1"
KAN Complex analysis (5 ECTS)
- 250019 VO ( REMOTE ) Complex analysis
- 250020 UE ( REMOTE ON-SITE ) Tutorials on complex analysis
PTS Probability and statistics (10 ECTS)
DMA Discrete mathematics (5 ECTS)
DGL Differential equations (14 ECTS)
- 250009 VO ( MIXED ) Partial differential equations
- 250010 UE [ de en ] ( REMOTE ) Tutorials on partial differential equations
ALG Algebra (14 ECTS)
- 250002 UE [ en de ] ( ON-SITE ) UE Übung zu Algebra 2
- 250003 VO ( ON-SITE ) Algebra 2
MIK Mathematics in the sciences and society (3 ECTS)
- 250022 VO ( ON-SITE ) Mathematics meets Philosophy
- 250113 KO ( ON-SITE ) The art of problem solving
- 250131 KO ( MIXED ) Gender aspects of mathematics
TFA Topology and functional analysis (12 ECTS)
- 250025 VO ( MIXED ) Introduction to topology
- 250026 UE [ de en ] ( REMOTE ) Tutorials "Introduction to topology"
BAS Bachelor seminar with thesis (10 ECTS)
- 250004 SE ( MIXED PH-NÖ ) Bachelor seminar
WLO Mathematical logic (optional module) (7 ECTS)
WFM Applied mathematics: finance (optional module) (7 ECTS)
- 250005 UE ( ON-SITE ) Tutorials on financial mathematics
- 250006 VO ( MIXED ) Financial mathematics
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)
- 250057 VO ( MIXED ) VO Graphentheorie und diskrete Optimierung
- 250074 UE ( MIXED ) UE Übung zu Graphentheorie und diskrete Optimierung
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)
- 250044 VO ( MIXED ) Applied optimization
- 250046 UE ( MIXED ) Tutorials on applied opimization
WKR Applied mathematics: cryptography (optional module) (7 ECTS)
WMO Applied mathematics: modelling (optional module) (7 ECTS)
WND Applied mathematics: numerical methods for differential equations (optional module) (7 ECTS)
Additional Optional module (7 ECTS)
- 250047 VU ( MIXED ) Applied machine learning
Non curricula lecture
Bachelor Teacher Training Programme: Mathematics (193 057, 198 420)
UFMA01 Introductory and Orientation Period ( 7 ECTS)
- EXAM ON-SITE COMM STEOP: Introduction to mathematics
- 250001 KO ( REMOTE ) Tutorial for first semester students
- 250032 VO ( MIXED ) STEOP: Introduction to mathematics
- 250056 PUE ( MIXED PH-NÖ ON-SITE ) Problem sessions and tutorial for introduction to mathematics
- 250169 OL ( REMOTE ) Infoveranstaltung für Erstsemestrige des Bachelor Lehramt Mathematik
UFMA02 Aspects of Mathematics (3 ECTS)
- 250022 VO ( ON-SITE ) Mathematics meets Philosophy
- 250033 VO ( REMOTE ) Aspects of mathematics
- 250131 KO ( MIXED ) Gender aspects of mathematics
UFMA03 Geometry (16 ECTS)
- 250034 VO ( PH-WIEN ON-SITE ) School mathematics elementary geometry and vector analysis
- 250052 UE ( REMOTE MIXED PH-WIEN ) UE Tutorial: elementary geometry and vector analysis
- 250111 VO ( MIXED PH-NÖ ) Schulmathematik Elementare und Konstruktive Geometrie
- 250112 UE ( MIXED PH-NÖ ) UE Tutorial: School mathematics elementary and constructive geometry
UFMA04 Analysis (16 ECTS)
- 250030 VO ( REMOTE ) School mathematics analysis
- 250050 UE ( MIXED KPH Krems ) UE Tutorial: School mathematics analysis
UFMA05 Stochastics (14 ECTS)
- 250127 VO ( MIXED ) Stochastics for secondary school teacher accreditation programme
- 250134 UE ( MIXED PH-NÖ PH-WIEN ) UE Tutorial: Stochastics for secondary school teacher accreditation programme
UFMA06 Applied mathematics (12 ECTS)
UFMA07 Teaching Methodology (10 ECTS)
- 250035 VO ( REMOTE ) Indroduction to didactics
- 250051 SE ( REMOTE MIXED KPH Krems PH-NÖ PH-WIEN ) Seminar on lesson planning
- 250053 PR ( REMOTE MIXED KPH Krems PH-WIEN ) Practicum on using ICT in teaching mathematics
UFMA08 Arithmetic and algebra for secondary schools (4 ECTS)
- 250036 VO ( REMOTE ) School mathematics arithmetics and algebra
- 250054 UE ( REMOTE MIXED KPH Krems PH-WIEN ) UE Tutorial: School mathematics arithmetics and algebra
UFMA09 Electives Teacher Training Programme (0-10 ECTS)
- 250072 SE ( MIXED ) Aspekte des Unterrichtsgegenstandes Geometrisch Zeichnen - Aspekte des Unterrichtsgegenstandes Geometrisch Zeichnen
- 250083 SE ( MIXED PH-NÖ ) Videos for secondary school mathematics
- 250114 KO ( REMOTE ) Wahlbereichs - Konversatorium
- 250139 SE ( ON-SITE ) Seminar: Enrichment in Secondary School Mathematics
- 290105 VO [ en ] ( MIXED ) Climate Change and Climate Crisis - Transformative Concepts and Innovations
- 490400 VU ( MIXED ) PM1 Digital Transformations
UFMA10 Subject-based Practicum - Mathematics (7 ECTS)
- 250055 SE ( REMOTE MIXED PH-NÖ PH-WIEN ) Begleitendes Seminar zum fachbezogenen Schulpraktikum
UFMA11 Bachelormodul (8 ECTS)
- 250004 SE ( MIXED PH-NÖ ) Bachelor seminar
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"
- 250007 SE [ en ] ( ON-SITE ) Seminar: Algebra
- 250060 VO [ en ] ( REMOTE ) Algebraic number theory
Advanced courses, specialization "Algebra"
- 250029 PS [ en ] ( ON-SITE ) Introductory seminar Algebraic Number Theory
- 250031 VO [ en ] ( MIXED ) Topics Course Number Theory
- 250038 PS [ en ] ( MIXED ) Topics Course Number Theory
- 250042 PS [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
- 250078 VO [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
- 250110 VO [ en ] ( MIXED ) Advanced Topics in Algebraic Geometry
- 250137 VO [ en ] ( REMOTE ) Moduli of n points on the projective line
Specialization "Analysis" (51 ECTS)
Basic courses, specialization "Analysis"
- 250045 SE [ en ] ( MIXED ) MCMP Seminar
- 250049 SE [ en ] ( REMOTE ) Topics in Analysis and Geometry
- 250064 VO [ en ] ( ON-SITE ) Advanced complex analysis
- 250065 PS [ en ] ( ON-SITE ) Introductory seminar on Advanced complex analysis
- 250066 VO [ en ] ( ON-SITE ) Advanced partial differential equations
- 250084 SE [ en ] ( REMOTE ) Optimal Transport and Riemannian Geometry
- 250148 PS [ en ] ( MIXED ) Introductory seminar on Advanced partial differential equations
- 510002 SE [ en ] ( REMOTE ) Seminar on Calculus of Variations (VSM)
- 510003 SE [ en ] ( REMOTE ) DK-Seminar: Dissipation and Dispersion in Nonlinear PDEs (VSM)
- 510004 SE [ en ] ( ON-SITE ) Seminar Harmonic Analysis (VSM)
Advanced courses, specialization "Analysis"
- 250048 VO [ en ] ( ON-SITE ) Numerics of Partial Differential Equations
- 250075 VO [ en ] ( MIXED ) Nonlinear Schrödinger and Wave equations
- 250087 VO [ en ] ( ON-SITE ) Frame Theory
- 250089 VO [ en ] ( ON-SITE ) Topics in Harmonic Analysis
- 250130 VO [ en ] ( MIXED ) Gabor Analysis: From Linear Algebra to Computational Harmonic Analysis
- 250136 VU [ en ] ( ON-SITE ) Lower semicontinuity of integral functionals and applications
Specialization "Applied mathematics and scientific computing" (51 ECTS)
Basic courses, specialization "AMaSciCo"
- 250062 VO [ en ] ( MIXED ) Applied analysis
- 250063 VO [ en ] ( REMOTE ) Nonlinear optimization
- 250086 SE [ en ] ( MIXED ) Inverse Problems III
- 250090 SE [ en ] ( MIXED ) Seminar Applied and Computational PDE
- 250109 SE [ en ] ( MIXED ) Seminar (Optimization)
- 510002 SE [ en ] ( REMOTE ) Seminar on Calculus of Variations (VSM)
- 510003 SE [ en ] ( REMOTE ) DK-Seminar: Dissipation and Dispersion in Nonlinear PDEs (VSM)
- 510004 SE [ en ] ( ON-SITE ) Seminar Harmonic Analysis (VSM)
Advanced courses, specialization "AMaSciCo"
- 250042 PS [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
- 250048 VO [ en ] ( ON-SITE ) Numerics of Partial Differential Equations
- 250075 VO [ en ] ( MIXED ) Nonlinear Schrödinger and Wave equations
- 250078 VO [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
- 250085 VU [ en ] ( MIXED ) Tensor methods for data science and scientific computing
- 250087 VO [ en ] ( ON-SITE ) Frame Theory
- 250089 VO [ en ] ( ON-SITE ) Topics in Harmonic Analysis
- 250092 VO [ en ] ( MIXED ) Convex Optimization
- 250106 VO [ en ] ( MIXED ) Neural Network Theory
- 250116 VO [ en ] ( MIXED ) Introduction to complex network analysis
- 250117 PS [ en ] ( MIXED ) Introduction to complex network analysis
- 250130 VO [ en ] ( MIXED ) Gabor Analysis: From Linear Algebra to Computational Harmonic Analysis
- 250136 VU [ en ] ( ON-SITE ) Lower semicontinuity of integral functionals and applications
Specialization "Biomathematics" (51 ECTS)
Basic courses, specialization "Biomathematics"
- 250068 VO [ en ] ( MIXED ) Stochastic processes
- 250081 PS [ en ] ( MIXED ) Introductory seminar on Mathematical Ecology
- 250097 SE [ en ] ( MIXED ) Seminar (Mathematical Population Genetics)
- 250108 VO [ en ] ( MIXED ) Mathematical ecology and pattern formation
- 510005 SE [ en ] ( MIXED ) AG Biomathematics (VSM)
Advanced courses, specialization "Biomathematics"
- 250107 PS [ en ] ( MIXED ) Stochastic Processes
- 250115 VO [ en ] ( ON-SITE ) Mathematical models of chemical and metabolic networks
- 250116 VO [ en ] ( MIXED ) Introduction to complex network analysis
- 250117 PS [ en ] ( MIXED ) Introduction to complex network analysis
Specialization "Geometry and Topology" (51 ECTS)
Basic courses, specialization "Geometry"
- 250049 SE [ en ] ( REMOTE ) Topics in Analysis and Geometry
- 250070 VO [ en ] ( MIXED ) Riemannian geometry
- 250071 VO [ en ] ( REMOTE ) Lie groups
- 250084 SE [ en ] ( REMOTE ) Optimal Transport and Riemannian Geometry
- 250091 VO [ en ] ( MIXED ) Algebraic topology
- 250103 PS [ en ] ( ON-SITE ) Algebraic Topology
- 250154 PS [ en ] ( MIXED ) Lie groups
Advanced courses, specialization "Geometry"
- 250093 VO [ en ] ( MIXED ) G-Structures
- 250110 VO [ en ] ( MIXED ) Advanced Topics in Algebraic Geometry
- 250138 VO [ en ] ( MIXED ) Introduction to large scale geometry
Specialization "Mathematical logic and theoretical informatics" (51 ECTS)
Basic courses, specialization "Logic"
- 250095 VO [ en ] ( ON-SITE ) Introduction to mathematical logic
- 250098 PS [ en ] ( MIXED ) Introductory seminar on mathematical logic
- 250099 SE [ en ] ( MIXED ) Research seminar in set theory
- 250118 SE [ en ] ( MIXED ) Research seminar in model theory
- 250124 SE [ en ] ( MIXED ) Logic Colloquium
Advanced courses, specialization "Logic"
- 250042 PS [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
- 250078 VO [ en ] ( ON-SITE ) Quantum Information, Quantum Computing, and Quantum Algorithms
- 250119 VO [ en ] ( MIXED ) Model theory
- 250123 VO [ en ] ( MIXED ) Special Topics in Set Theory
Specialization "Stochastics and dynamical systems" (51 ECTS)
Basic courses, speicialization "Stochastics"
- 250068 VO [ en ] ( MIXED ) Stochastic processes
- 250069 PS [ en ] ( MIXED ) Measure and integration theory
- 250076 VO [ en ] ( MIXED ) Measure and integration theory
- 250101 SE [ en ] ( ON-SITE ) Stochastics and Dynamical Systems
- 250102 SE [ en ] ( MIXED ) AG Ergodic Theory
- 250107 PS [ en ] ( MIXED ) Stochastic Processes
- 510006 SE [ en ] ( ON-SITE ) Vienna Seminar in Mathematical Finance and Probability (VSM)
- 510007 SE [ en ] ( ON-SITE ) Vienna Probability Seminar (VSM)
Advanced courses, specialization "Stochastics"
- 250105 VO [ en ] ( MIXED ) Ergodic Theory
- 250106 VO [ en ] ( MIXED ) Neural Network Theory
- 250128 VO [ en ] ( MIXED ) Martingale optimal transport
- 250152 PS [ en ] ( MIXED ) Stochastic Analysis
- 250157 VO [ en ] ( MIXED ) Stochastic Analysis
Further Electives (15 ECTS)
- 250129 VO [ en ] ( MIXED ) Topics from Habilitations
Master Teacher Training Programme: Mathematics (196 057, 199 520)
UFMAMA01 Mathematics in Rn (12 ECTS)
- 250027 VO ( MIXED ) Linear algebra and mathematical analysis in several variables for pre-service teachers
- 250028 UE ( REMOTE MIXED PH-NÖ ON-SITE ) UE Linear algebra and mathematical analysis in several variables for pre-service teachers
UFMAMA02 Advanced mathematics (3 ECTS)
- 250019 VO ( REMOTE ) Complex analysis
UFMAMA03 Application-orientation for mathematic class (4 ECTS)
UFMAMA04 Optional Courses Teaching Methodology (3 ECTS)
- 250083 SE ( MIXED PH-NÖ ) Videos for secondary school mathematics
- 250114 KO ( REMOTE ) Wahlbereichs - Konversatorium
- 250139 SE ( ON-SITE ) Seminar: Enrichment in Secondary School Mathematics
- 250146 SE ( MIXED ) Seminar on mathematics education
UFMAMA05 Practice Module (Didactic Supervision) (4 ECTS)
- 250193 SE ( MIXED PH-NÖ ) Seminar for teaching practice
Master Teacher Training Programme: Descriptive Geometry (196 505)
Last modified: Fr 14.01.2022 01:03
http://ssc-mathematik.univie.ac.at and http://plone.mat.univie.ac.at
of the "StudienServiceCenter" and faculty of mathematics.