Doctor of Philosophy Programme Mathematics

 

Faculty Faculty of Mathematics, Computer Science and Physics
Duration / ECTS-Credits 6 semesters / 180 ECTS-Credits
Academic Degree
Doctor of Philosophy (PhD)
Qualification Level
Doctorate (Third Cycle)
ISCED-F 0541 Mathematics
Mode of Study
Full-Time
Study Code
C 094 xxx | C 794 750 xxx
Curriculum
Information on the Curriculum (2009W) *
Admission Requirements
Relevant diploma or master's degree or equivalent
Application


* Information on the Curriculum (2009W)

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: http://orawww.uibk.ac.at/public/lfuonline_meinestudien.studienblatt
  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
 scheme
 Definition
 %-age
      
 1  EXCELLENT:
 Outstanding performance
81.6

= 100%

 2

 GOOD:
 Generally good, but with some errors
10.8
 3  SATISFACTORY:
 Generally sound work with a number of substantial errors
5.2
 4  SUFFICIENT:
 Performance meets the minimum cirteria
2.4
 5  INSUFFICIENT:
 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 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).

Requirements

Relevant master's or diploma degrees at the University of Innsbruck:


Criteria for the determination of equivalence:

Admission to the Doctor of Philosophy Programme Mathematics requires a university (diploma or) master's degree in a thematically relevant field. Master's or diploma degrees awarded by universities of applied sciences ("Fachhochschulen") are considered on an individual basis.

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 doctoral degree programme.

Modules and Dissertation

Compulsory Modules 
30 ECTS-Credits
Dissertation
150 ECTS-Credits

Doctoral Thesis Defense
5 ECTS-Credits

Scientific Basics/Core Skills of the Thesis Topic
10 ECTS-AP

Participation in Scientific Discourse
5 ECTS-Credits

Interdisciplinary Seminar in the PhD Programme
5 ECTS-Credits

Generic Skills
5 ECTS-Credits

The dissertation is a piece of scientific work which – in contrast to a diploma or master’s thesis – serves to prove the student's ability to cope with scientific questions in an independent way. The dissertation topic has to be chosen from the field of mathematics or didactics of mathematics.

The dissertation may also consist of articles that are related in terms of subject matter or methods. In this case, a minimum of three articles must have been accepted for publication by an acknowledged scientific journal or must have been accepted for presentation by acknowledged scientific conferences. Additionally, the student has to write an extensive summary of the subject area, the methods employed, and the results he/she has obtained; in doing so, the student must refer to the articles included in the dissertation. Moreover, a preview has to be given of the future scientific and methodical development of the topic elaborated. If the articles were written by several authors, the student's own contribution must be clearly shown and a corresponding list has to be added to the dissertation in the form of an appendix.

The student has to propose a team of supervisors, consisting of at least two people (dissertation committee) and to nominate one of them as the supervisor mainly responsible. It is permissible to propose supervisors (with the exception of the main supervisor) from related fields. If the dissertation belongs to didactics of mathematics, the dissertation committee must include representatives of both the didactics of mathematics and mathematics. In justifiable exceptional cases it is possible for students to propose only one supervisor.

Prior to beginning the work, the student has to communicate the dissertation topic and the names of the supervisors in writing to the Director of Studies. If work on the dissertation requires monetary or non-monetary resources from university institutions, the allocation of these resources is possible only if the head of the institution has been informed of the planned allocation and has not vetoed it within one month for reasons of significant negative influences on teaching and research. Topic and supervisors are considered as accepted, if the Director of Studies does not veto them by means of a decree within one month after the receipt of the proposal.

Qualification Profile and Skills

The main goal of the Doctor of Philosophy Programme Mathematics is to make an independent contribution to research through submission of an original piece of scientific work on the highest international level in one of the fields of competence offered at the Faculty of Mathematics, Computer Science and Physics. This work is to widen the boundaries of knowledge in the relevant special field and thus to contribute to the progress in the dissertation subject.

This goal is to be achieved by completion of the compulsory modules in the curriculum, where particularly the module „Scientific Basics/Core Skills of the Thesis Topic“ offers the requirements to research-oriented subject matter. The modules „Analysis of Own and External Research Results“ and „Core Subject“ convey the current state of research. An addition to these skills (e.g. project management, professional presentation of scientific contents) guarantees the module „Generic Skills”. Graduates of the Doctor of Philosophy programme have a systematic understanding of their research discipline and research methods of this field.

The programme concludes with a dissertation which is to be supervised by a team of supervisors and is completed by an oral exam taken before an examination board. Graduates are awarded the academic degree „Doctor of Philosophy (PhD)“.

Expected Learning Outcomes for the Doctorate

Graduates are qualified junior academics. They have mastered the methods applied in research in their area and are capable of critically discussing, analyzing, and further developing theories. Junior academics possess the competence to develop and conduct substantial research projects with scientific integrity, and they are qualified to reflect on these processes scientifically and theoretically. They are also aware of issues and questions in gender research.

Future Prospects: Occupational Profiles and Career Opportunities

The career fields of the graduates of the Doctor of Philosophy Programme Mathematics are in particular managerial functions in research, industry and the tertiary education sector. They work as mathematicians, in companies of the fields of telecommunication and information technology, logistics, banks, insurance companies, statistical offices, and research institutions. Occupational profiles of graduates can also be found in fields where problem-solving capacities and specially trained analytical and systematic thinking are required (e.g. management, administration or consulting companies).

Information about the Programme (in German only)

Forms (in German only)

Contact and Information

Examination Office
Standort Technikerstraße 17 Piktogramm barrierefreier Zugang

Dean of Studies
assoz. Prof. Dr. Georg Moser

Information for students with disabilities