Mathematics

The Bachelor's degree program in Mathematics at the University of Innsbruck provides students with a comprehensive foundation in pure and applied mathematics, preparing them for diverse professional paths in research, industry, and academia. The program is designed to develop strong analytical and problem-solving skills, fostering a deep understanding of mathematical theories, methods, and their applications across various disciplines. Students will explore core areas such as algebra, analysis, geometry, and discrete mathematics, while also gaining exposure to specialized topics like mathematical modeling, numerical analysis, and stochastic processes. The curriculum emphasizes rigorous mathematical thinking alongside practical skills, enabling graduates to approach complex problems systematically and creatively. Throughout the program, students have opportunities for active participation in research projects, internships, and seminars that enhance their understanding of contemporary mathematical challenges. The program also promotes interdisciplinary collaboration, encouraging students to apply mathematical concepts to fields such as physics, computer science, engineering, and economics. The teaching staff comprises experienced researchers and educators dedicated to providing high-quality instruction and personalized academic support. Graduates of the Bachelor's program in Mathematics at the University of Innsbruck are well-equipped for further studies at the master's level, with many pursuing advanced research or professional training. The university’s vibrant academic environment and strong network with industry partners create an excellent foundation for career development. The program is taught in English, ensuring international accessibility and the opportunity for students to engage with a global academic community. Overall, this degree offers a thorough and versatile education in mathematics, opening doors to numerous career opportunities across scientific, technological, financial, and educational sectors.

Compulsory Modules

• Doctoral Thesis Defense
• Scientific Basics/Core Skills of the Thesis Topic 
• Participation in Scientific Discourse 
• Interdisciplinary Seminar in the PhD Programme 
• Generic Skills 

Dissertation

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.

Requirements

• Completed a master's degree in a relevant related field.
• Proof of German language ability (level B2)
• Curriculum vitae,
• As well as (originals or officially certified copies):
• Notice (“Bescheid”) confirming awarding of bachelor’s degree,
• Diploma certificate,
• Diploma Supplement
• transcript (list of examinations completed).
• Examination Records
• Recognition of exams
• Declaration of Academic Honesty 
• Submission of the Dissertation
• Application for the Dissertation's Defense

Financing options for the Mathematics degree programme at the University of Innsbruck include various scholarship opportunities, student loans, and part-time employment possibilities. The university offers a range of merit-based scholarships for international and domestic students who demonstrate outstanding academic achievement, financial need, or specific talents. These scholarships are typically awarded based on application and selection processes outlined by the university’s scholarship office. Additionally, students may be eligible for government-funded student loans, which provide financial support to cover tuition fees and living expenses during their studies. The Austrian student loan scheme (Studienbeihilfe) is available to qualified students meeting specific criteria, such as residency status and academic progress.

International students are encouraged to explore external funding sources, including scholarships from their home countries or international organizations, as many external organizations provide financial aid for students studying abroad. The university also facilitates on-campus part-time employment opportunities, allowing students to work during the semester. Such jobs include research assistant positions, tutoring, or administrative roles within the university. These employment options help students offset living costs while gaining valuable professional experience.

In addition, students can access financial planning services offered by the university’s student support office. These services aim to advise students on managing their finances effectively, including budgeting for tuition, accommodation, books, and daily expenses. Tuition fees for the Mathematics programme are generally modest, especially for students from Austria and the European Union, with specific fee details available on the university’s official website. International students from outside the EU may pay higher tuition fees, but financial aid options are available to assist with these costs.

Overall, students enrolled in the Mathematics program at the University of Innsbruck are encouraged to explore all available funding sources early in their studies to ensure a smooth and financially manageable educational experience. The university’s dedicated offices provide continuous support and guidance to help students secure the necessary financial resources and navigate the application processes for scholarships, loans, and employment opportunities.

The Bachelor's degree program in Mathematics at the University of Innsbruck offers students a comprehensive foundation in mathematical concepts, theories, and applications. The curriculum is designed to develop analytical thinking, problem-solving skills, and a deep understanding of both pure and applied mathematics. Throughout the program, students are introduced to key areas such as algebra, calculus, geometry, analysis, and probability theory, complemented by courses in computer science and numerical methods to enhance their ability to implement mathematical solutions in real-world situations.

The program emphasizes the development of rigorous mathematical reasoning, logical thinking, and abstract problem-solving skills, preparing students for various career paths in academia, research, finance, IT, engineering, and data analysis. Students have opportunities to participate in practical internships, research projects, and seminars that foster collaborative work and innovative thinking.

The degree offers a balanced mix of theoretical knowledge and practical skills, providing a solid basis for further studies at the master's and doctoral levels. The University of Innsbruck also promotes international exchange programs and cooperation with industry partners, allowing students to gain global perspectives and practical experience in diverse settings. The teaching staff consists of experienced professors and researchers dedicated to high-quality education and individual academic mentorship.

Graduates are well-equipped for roles in scientific research, education, technological development, and consulting. The program's structure is designed to be flexible, accommodating students' interests in different areas of mathematics while ensuring a thorough grounding in fundamental concepts. Overall, the Bachelor's in Mathematics at the University of Innsbruck aims to cultivate skilled, innovative, and adaptable individuals ready to contribute to advancements in science and technology.