Master’s Programme Mathematics
You want to model natural phenomena in the universal language of mathematics and formulate technical problems?
Mathematics, as a universal language, is the basis for science and engineering sciences. One of the main functions of mathematics is to develop solutions for problems within and outside of mathematics.
It is used to model natural phenomena and to express technical problems. Within the framework of digitalisation mathematics forms an essential building block for entering into progressive future careers.
Study code
UC 066 401
FAQ
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.
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.
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).
Graduates tracking: Shows which occupational fields students enter after graduation
Faculty of Mathematics, Computer Science and Physic Examination Office Information for students with disabilities
Curriculum
The curriculum is the basis of a degree programme. A look at the curriculum for the Master's Programme Mathematics will give you a detailed overview of the structure, content, examination regulations and qualification profile of this Master's degree.
The curriculum can clarify several important questions before you start your studies. For example, which criteria have to be fulfilled for enrolment in the Master's Programme Mathematics, how long the programme takes, which modules have to be completed and much more.
The curriculum 2007W currently applies to the Master's Programme Mathematics.
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.
- English version of the Curriculum (from October 1st 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 1st 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:
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).
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
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
15.0 ECTS-Credits: Particular topics and methods
10.0 ECTS-Credits: Research Seminars
5.0 ECTS-Credits: Interdisciplinary Qualification
27.5 ECTS-Credits: Master’s Thesis
2.5 ECTS-Credits: Master’s Thesis Defense
| Semester | ECTS-AP | Titel |
|---|---|---|
Extension Programme
Within the scope of the Study Programme, a Extenion Programme corresponding to 60 ECTS-Credits may be passed. Admission to the Extension 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.
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.
| A | B | C | D | E |
|---|---|---|---|---|
| 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).
Forms
- Examination Records
- Assessment of the compulsory module: Preparation of the Master’s Thesis
- Cover Sheet for the Master's Thesis
- Application for Admission to the third and fourth repetition of a course examination
Forms and Guideline for submitting the Master's Thesis (valid since 01.11.2023)
Recognitions (in German only)
Contact and Information
Examination Office
Standort Technikerstraße 17
Dean of Studies (from 01.03.2024)
Univ.-Prof. Dipl.-Math. Dr. Tim Netzer
Information about the Programme (in German only)
Older curricula can be found in the archive Course Catalog
From the field
Student Advisory Service
We are the first point of contact for all questions about studying for pupils, prospective students and students as well as parents and teachers.
