Master's Programme Mathematics

Faculty	Faculty of Mathematics, Computer Science and Physics
Duration / ECTS-Credits	4 semesters / 120 ECTS-Credits
Academic Degree	Diplom-Ingenieurin/Diplom-Ingenieur (Dipl.-Ing. or DI)
Qualification Level	Master (Second Cycle) ISCED-11: Level 7, EQF/NQF: Level 7
ISCED-F	0541 Mathematics
Mode of Study	Full-Time
Study Code	UC 066 401
Curriculum	Information on the Curriculum (2007W) *
Language of Instruction	English
Admission Requirements	Relevant bachelor's degree or equivalent and Language Certificates
Application

* Information on the curriculum (2007W)

The complete version of the curriculum reflects the currently valid version of the curriculum. It is for informational purposes only and is not legally binding. The legally binding version of the curriculum, including any amendments, may be found in the University of Innsbruck Bulletins.

In order to determine which version of the curriculum is applicable in your case, see the Catalogue of Studies,
available at: https://lfuonline.uibk.ac.at/public/lfuonline_meinestudien.studienblatt
Section: Current Curriculum version.

University of Innsbruck Bulletins » (Click to open all University of Innsbruck Bulletins)

English version of the Curriculum (from October 1^st 2019)
University of Innsbruck Bulletin June 28 2019, Issue 66, No. 586 (modification of the curriculum)
University of Innsbruck Bulletin May 24 2019, Issue 49, No. 475 (modification of the curriculum)
English version of the Curriculum (from October 1^st 2012)
University of Innsbruck Bulletin May 15 2012, Issue 27, No. 277 (amendment of the curriculum)
University of Innsbruck Bulletin October 15 2008, Issue 2, No. 13 (amendment of the curriculum)
University of Innsbruck Bulletin June 6 2007, Issue 55, No. 239 (amendment of the curriculum)
University of Innsbruck Bulletin April 23 2007, Issue 29, No. 193

Requirements

Relevant bachelor's degrees at the University of Innsbruck:

Bachelor's Programme Mathematics

Proof of general university entrance qualification:

The general university entrance qualification for admission to a master's programme must be proven by the completion of a subject-related bachelor's programme, another subject-related programme of at least the same higher education level at a recognised domestic or foreign post-secondary educational institution, or a program defined in the curriculum of the master's programme. To compensate for significant differences in subject matter, supplementary examinations (maximum 30 ECTS credits) may be prescribed, which must be taken by the end of the second semester of the master's programme.

The rectorate may determine which of these supplementary examinations are prerequisites for taking examinations provided for in the curriculum of the master's programme.

In the course of the proof of the general university entrance qualification, the completion of the following core areas within the framework of the completed bachelor's degree programme shall be examined in any case:

40 ECTS-Credits Core Area: Algebra
50 ECTS-Credits Core Area: Analysis
30 ECTS-Credits Core Area: Stochastics and Statistics

Recommended Course Sequence

The exemplary course sequence given below is recommended for full-time students beginning their study programme in the winter semester. The table shows one possible course sequence for the bachelor's programme and is not compulsory. Delays resulting from repeated examinations are not taken into account.

The standard duration of the study programme is 4 semesters or 120 ECTS-Credits, whereby according to the Universities Act of 2002, a workload of 1,500 (real) hours per academic year must be fulfilled, corresponding to 60 ECTS-Credits (one ECTS-Credit is equivalent to a workload of 25 hours).

First Semester »

7.5 ECTS-Credits: Introduction to Higher Numerical Mathematics
7.5 ECTS-Credits: Introduction to Higher Stochastics
15.0 ECTS-Credits: Subject-specific fundamentals and core competences

Second Semester »

7.5 ECTS-Credits: Introduction to Higher Algebra and Discrete Mathematics
7.5 ECTS-Credits: Introduction to Higher Analysis
15.0 ECTS-Credits: Advanced professional competences

Third Semester »

15.0 ECTS-Credits: Particular topics and methods
10.0 ECTS-Credits: Research Seminars
5.0 ECTS-Credits: Interdisciplinary Qualification

Fourth Semester »

27.5 ECTS-Credits: Master’s Thesis
2.5 ECTS-Credits: Master’s Thesis Defense

Grafische Darstellung »

Grafik empfohlener Studienverlauf MA Mathematik EN

Qualification Profile and Skills

The Master's Programme Technical Mathematics prepares for a highly qualified occupation as a mathematician in industry and in commerce as well as for the PhD Programme in Technical Mathematics. It deepens and widens the abilities and the knowledge in the field of mathematics that have been acquired during the Bachelor's Programme Technical Mathematics. The graduates are qualified for innovative solutions of mathematical problems originating from science, engineering, economy, and medicine. Therefore, during the master's programme the knowledge of both the foundations and the methods and algorithms of application-oriented branches of mathematics are deepened. An increased offer of research-guided courses stimulates in particular creative thinking and establishes a basis for the PhD programme.

In additon to the compulsory modules in Functional Analysis and Numerical Analysis of Partial Differential Equations, courses from the following areas are offered

higher algebra and discrete mathematics,
higher analysis and numerical mathematics as well as
inverse problems, imaging and kinematics.

Students can chose two areas. The study programme is concluded with a master's thesis, which is a scientific paper from a branch of mathematics.

Expected Learning Outcomes

Graduates possess highly specialized knowledge in two of the three fields of higher algebra and discrete mathematics, higher analysis and numerical mathematics or inverse problems, imaging and kinematics. They are able to apply their knowledge at the intersections of related sciences by independently formulate and substantiate scientific arguments and to find innovative solutions to problems.

Future Prospects: Occupational Profiles and Career Opportunities

The career fields of the graduates of the Master's Programme Technical Mathematics are in particular the high-tech industry (modelling, developing and/or applying algorithms, developing and/or applying mathematical software), the fields of telecommunication and information technology, logistics, banks, insurance companies, statistical offices, and research institutions. Occupational profiles of graduates of the bachelor's programme can be found in fields where problem-solving capacities and specially trained analytical and systematic thinking are required (e.g. management, administration or consulting companies).

Postgraduate and further Studies at the University of Innsbruck

Doctor of Philosophy Programme Mathematics

Supplementary Programme Programme

Within the scope of the Study Programme, a Supplementary Programme corresponding to 60 ECTS-Credits may be passed. Admission to the Supplementary Programme requires the admission to or the having passed of one of the selected Study Programmes. Detailed information:

Information about examination regulations, assessment and grading

Examination regulations

The examination regulation is an integral part of the curriculum, detailed information can be found under the paragraph examination regulations.

Description of the applied grading system (including the grade distribution table) »

The grade distribution table is a statistical representation of the distribution of all successfully completed examinations in a given programme of study or subject (based on all registered students for the programme or subject). The grade distribution table is updated in regular intervals.

Austrian grading scheme	Definition	%-age
1	EXCELLENT: Outstanding performance	69.3	= 100%
2	GOOD: Generally good, but with some errors	20
3	SATISFACTORY: Generally sound work with a number of substantial errors	7.5
4	SUFFICIENT: Performance meets the minimum criteria	3.2
5	INSUFFICIENT: Substantial improvement necessary; requirement of further work

December 2021

Overall classification of the qualification

Not applicable
Explanation: An overall classification (mit Auszeichnung bestanden/pass with distinction, bestanden/pass, nicht bestanden/fail) – is awarded only for examinations that conclude a programme of study and consist of more than one subject (an examination of this type is not specified in the curriculum of this programme of study).

Information about the Programme (in German only)