Master's Programme Technical 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-F 0541 Mathematics
Mode of Study
Study Code
C 066 401
Curriculum Information on the Curriculum (2007W) *
Admission Requirements
Relevant bachelor's degree or equivalent

* 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:
  Section: Current Curriculum version.

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

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
 Outstanding performance
= 100%


 Generally good, but with some errors
 Generally sound work with a number of substantial errors
 Performance meets the minimum cirteria
 Substantial improvement necessary; requirement of further work

Source: Academic year 2016/2017

Overall classification of the qualification

Not applicable
Explanation: An overall classification (mit Auszeichnung bestanden/pass with distinction, bestanden/pass, nicht bestanden/fail) – is awarded, in accordance with § 73 Para 3 UA, 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).


Relevant bachelor's degrees at the University of Innsbruck:

Criteria for the determination of equivalence:

Admission to the master's degree programme may also be possible if a student has completed a bachelor's degree in a relevant related field. As part of the determination of equivalence, the following core areas of the completed bachelor's degree programme will be assessed:

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

In the event that equivalence has been established in principle but with certain qualifications missing for full equivalence, supplemental examinations may be required. These examinations must be completed during the master degree programme.

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 Algebra and Discrete Mathematics
  7.5 ECTS-Credits: Introduction to Higher Analysis
  7.5 ECTS-Credits: Introduction to Higher Numerical Mathematics
  7.5 ECTS-Credits: Introduction to Higher Stochastics

Second Semester »

15.0 ECTS-Credits: Subject-specific fundamentals and core competences
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 »

Recommended Course Sequence for the Master Programme Technical Mathematics

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

Information about the Programme (in German only)

Forms (in German only)

Recognitions (in German only)

Contact and Information

Examination Office
Standort Technikerstraße 17 Piktogramm barrierefreier Zugang 

Associate Dean of Studies
Dipl.-Ing. Tobias Josef Hell, BSc PhD 

Dean of Studies
assoz. Prof. Dr. Georg Moser

Information for students with disabilities