The university single-major study programme Mathematics was adopted by the Senate of the Faculty of Natural Studies and Mathematics at the University of Maribor on 27 March 2007 and by the Senate of the University of Maribor on 8. May 2007. On the basis of Article 49 of the Law on Higher Education (Official Gazette of the Republic of Slovenia, no. 119/06-UPB3) and on the basis of the Measures and Procedures for the Accreditation of Study Programmes and Institutions of Higher Education (Official Gazette of the Republic of Slovenia, no. 101/04), the Council for Higher Education at its meeting of 16 Oct. 2007 formally approved the programme.

A student advances to the 2nd year if they collect at least 48 ECTS and if they have completed all laboratory work requirements. Completed courses must include: Analysis I, Vectors and Matrices, Fundamentals of Computer Science and Informatics, Set Theory I, Analysis II, and Linear Algebra. A student advances to the 3rd year if they have completed all 1st year obligations and if they collected at least 40 ECTS from the 2nd year. Completed courses must include: Analysis III, Algebra I, Discrete Mathematics I, and Analysis IV. A student who has not fulfilled all the obligations for advancement to a higher year may exceptionally be granted enrolment in a higher year by the Commission for Student Affairs of the university member at his request, according to Article 85 of the Statute of the University of Maribor. Such enrolment may be granted to a student who has fulfilled at least half of the prescribed obligations of previous years, or who has been unable to fulfil the obligations for justified reasons (listed in Article 212 of the Statute), and who is expected to fulfil all obligations within the time-limit set by the Commission for Student Affairs.

The diploma holder can continue studies in various MA postgraduate study programs.

The program offers the diploma holder a broad range of employment possibilities: in organizations developing software and other computer equipment, in industry in all areas where mathematical modeling is required. He/she will be able to work in groups dealing with business management and administration systems in economics, banking and insurance (for self management and management a master's degree in mathematics of the appropriate study program is required). Graduates of this program are also qualified to work in interdisciplinary projects in science and in the field of modern telecommunications and information systems.

The calculations include the average values for hours in the study program. Due to different numbers of hours per elective course, the sum of all hours may vary from student to student. Independent student work amounts to 3150 hours.

In the study program General Mathematics students choose four elective courses, including at least two from courses Financial-actuary mathematics, Geometry, Plane and solid geometry, Applied statistics. Students can shape up to 19.4% of the program by choosing elective courses according to their own interests. The study program does not require mandatory practice.

Examination and assessment of student learning outcomes is performed in accordance with the criteria and methods defined in the Rules on the Examination and Assessment of Knowledge at the University of Maribor: https://www.um.si/univerza/dokumentni-center/akti/Dopolnitve2013/Pravilnik%20o%20preverjanju%20in%20ocenjevanju%20znanja%20na%20UM%20-%20NPB3,%20AVGUST%202019doc.pdf. Knowledge examination and assessment methods at the University of Maribor are regulated by the Statute of the University of Maribor and the Rules on Examinations and Grading of the University of Maribor, No. A4/2009-41AG (University of Maribor Journal, No. XXVII-6-2009); Amendments to the Rules on Examinations and Grading of the University of Maribor, No. A4/2009-41AG (University of Maribor Journal, No. XXVIII-7-2010); Amendments to the Rules on Examinations and Grading of the University of Maribor, No. A4/2009-41AG (University of Maribor Journal, No. XXX-2-2012); Amendments to the Rules on Examinations and Grading of the University of Maribor, No. A4/2009-41AG (University of Maribor Journal, No. XXXII-5-2014); Rules on Examinations and Grading of the University of Maribor – unofficial consolidated text (2015); Amendments to the Rules on Examinations and Grading of the University of Maribor, No. A4/2009-41AG (2019): https://www.um.si/univerza/dokumentni-center/akti/Dopolnitve2013/Pravilnik%20o%20preverjanju%20in%20ocenjevanju%20znanja%20na%20UM%20-%20NPB3,%20AVGUST%202019doc.pdf. Forms and methods of assessment are defined in Article 5 of the Rules on Examinations and Grading. Criteria and methods for knowledge assessment of individual subjects are part of the Subject Specification, and are publicly available on the faculty’s website: https://www.fnm.um.si/index.php/shema/.

The main objective of the study program is for graduates to acquire basic knowledge of mathematical principles in all relevant areas of mathematics: algebra, analysis, numerical mathematics, discrete mathematics, number theory, topology, and probability. Graduates of this study program also acquire skills from the fields of computer sciences, physics, and economics, which complement the obtained knowledge from pure mathematics. The system of elective courses enables students to obtain other specific skills in line with their personal plans for further studies or employment. Completing the 1st cycle study program enables graduates to continue their studies as part of a 2nd cycle study program, or to find employment wherever employee profiles are required to demonstrate the ability for mathematical analysis and understanding of complex systems. Graduates of this study program gain a deep understanding of mathematics, develop a positive attitude towards the field, and build confidence in applying their acquired expertise.

General competences acquired through the program: - the ability of analytical thinking and understanding of complex systems, allowing integration of the diploma holder into a variety of interdisciplinary teams, - knowledge of basic mathematical fields and application of this knowledge into other areas, - critical assessment of developments in the field of mathematics, - solving professional and work related problems in order to seek sources of knowledge and application of scientific methods, - development of communication skills, - autonomy in professional work, - cooperation and team work.

Subject-specific competences acquired through the program: - understanding and solving basic mathematical problems on a qualitative and quantitative level, - ability to describe a given situation with the correct use of mathematical symbols and notations, - ability to explain their understanding of mathematical concepts and principles, - solving mathematical (as well as other) problems using modern technology, - using an algorithmic approach; developing an algorithm to solve a given problem, - ability to analyze a given problem numerically, graphically and algebraically, - ability to deduce, i. e. ability to draw new logical conclusions from the given data, - ability to face a given mathematical problem with confidence, and provide a solution, - using scientific thought to consider problems in nature, the environment and society in quantitative terms, - knowledge and understanding of the impact of mathematics on the development of other sciences.

The university study programme Mathematics can be entered by anyone: a) who has graduated from secondary school with a Matura examination (Secondary School Leaving examination), b) who has before 1 June 1995 completed any of the four-year secondary school programmes.

In case of limitations regarding enrolment, candidates under a) and b) are chosen according to: - general success in the Matura examination or in the secondary school final examination: 60 % of points, - general success in the 3rd and the 4th school years: 20 % of points, - success in Mathematics in the 3rd and the 4th school years: 20 % of points.

1. Transition from 1st Cycle Higher Education Study Programmes and from 1st Cycle University Study Programmes For candidates enrolled in 1st Cycle Higher Education Study Programmes or in 1st Cycle University Study Programmes from the fields of natural, computer and technical sciences, who ensure the acquisition of comparable competences at the end of their studies, and for whom at least half of the ECTS obligations from the first study programme are recognised, the Commission for Student Affairs of the Faculty of Natural Sciences and Mathematics determines the study obligations that they must complete if they want to complete their studies according to the new study programme. 2. Transition from Post-Secondary Vocational Study Programmes according to the Vocational Education Act For candidates enrolled in Post-Secondary Vocational Study Programmes from the fields of natural, computer and technical sciences, who ensure the acquisition of comparable competences at the end of their studies, and for whom at least half of the ECTS obligations from the first study programme are recognised, the Commission for Student Affairs of the Faculty of Natural Sciences and Mathematics determines the study obligations that they must complete if they want to complete their studies according to the new study programme. Note to Point 2: According to Article 39 of the Higher Education Act and the Criteria for transitions between study programmes, transitions are also possible from Post-Secondary Vocational Study Programmes under the Higher Vocational Education Act (Official Gazette of the Republic of Slovenia, No. 86/2004), if the higher education institution assesses that this is possible for a specific program.

tudents of 1st Cycle Study Programmes can obtain full recognition of the knowledge and skills acquired through various forms of formal education before enrolment, which the student demonstrates with relevant qualifications (certificates, degrees, diplomas and other documents). The recognition process shall take into account the following criteria: the assessment of the achieved knowledge and skills must be based on the educational goals of the study program; the relevant skills must be properly documented and at an appropriate level of complexity; the acquired knowledge and skills are recognized regardless of where and when the student acquired them. The process of identification, verification and recognition of knowledge and skills entails the submission of an application, amendments to the application, consideration of the application at the competent authority of the member faculty, the issuing of a decision, and the procedure for the appeal of a candidate against the issued decision. The faculty recognises the knowledge and skills of the candidates if, in terms of their scope, content and complexity, these correspond fully or partially to the general or subject-specific competences determined by the study programme in which the candidates wish to enrol or are enrolled. Recognition of knowledge and skills is defined in the RULES ON THE RECOGNITION OF KNOWLEDGE AND SKILLS IN THE STUDY PROGRAMMES OF THE UNIVERSITY OF MARIBOR No. 012/2019/2: https://www.um.si/univerza/dokumentni-center/akti/GlavniDokumenti2013/Pravilnik%20o%20priznavanju%20znanj%20in%20spretnosti%20v%20%C5%A1tudijskih%20programih%20UM%20%C5%A1t.%20012-2019-2.pdf.

Conditions for completing the study are the completion of all the exams and requirements in all the courses of the syllabus, including the elective courses, and the accumulation of at least 180 ECTS.