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study programs in mmathematics

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5 Introduction 7 at the University of 9 Department of Mathematics information page Academic study program in 11 Mathematics Academic study program in 31 Financial Mathematics Single cycle master’s study program in 47 Mathematics education Interdisciplinary academic study program in 75 Computer Science and Mathematics Professional study program in 91 Practical Mathematics Master's study program in 109 Mathematics Master's study program in 117 Financial Mathematics Master's study program in 127 Mathematical Statistics

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mintroduction i 5

MATHEMATICS AT THE

Mathematics has had a long tradition at the brought fundamental changes to classical mathe- University of Ljubljana. Ever since its founding in matics at the beginning of the twentieth century 1919, the university has been offering study pro- came to Ljubljana after World War II. grams in mathematics, following the high quality Mathematical studies have always been most standards set by the existing study programs deeply intertwined with physical studies. At the abroad. Nowadays, the mathematical studies at beginning, therefore, the Faculty of Arts offered the Faculty of Mathematics and (FMF) at two programs majoring in mathematics, namely the University of Ljubljana boast the highest quali- mathematics with physics and mathematics with ty levels. descriptive geometry. The latter was abolished in At the establishment of the university in 1919, 1928. Instead, a program in pure mathematics both a mathematical seminar and an institute for and a program in applied mathematics were cre- applied mathematics were founded. The seminar ated. was meeting at the Faculty of Arts, and the insti- In the academic year 1949/1950, the depart- tute was based at the Faculty of Technology. Dr. ments of sciences and mathematics separated Josip Plemelj, who had previously held a full pro- from the Faculty of Arts and created the Faculty of fessorship at the University of Czernowitz (present- Sciences and Mathematics which existed from ly Chernivtsi, ), was appointed chair of the 1949 to 1954. In the academic years seminar, while Dr. Rihard Zupančič, who had pre- 1954/1955-1956/1957, the separated depart- viously lectured at the Vienna University of ments were reunited as the Faculty of Sciences, Technology, took over the direction of the institute. Mathematics, and Arts which in the academic Plemelj and Zupančič also served, respectively, as year 1957/1958 ultimately split into the Faculty the first and the second rector of the University of of Arts and the Faculty of Sciences. The latter Ljubljana. existed from 1957 to 1960. In the last few decades preceding , Prior to World War II, the following mathematical some classical mathematical branches saw an courses were offered: Fundamental course in exceptionally rapid development with active and mathematics I and II, Differential equations and creative contribution of Slovenian mathematicians. variational calculus, The theory of analytical func- The achievements of Prof. Dr. Josip Plemelj were tions, with , Differential particularly important in the theory of integral geometry, Algebraic geometry, and A critical intro- equations, potential theory, and function theory, duction to infinitesimal calculus. The curriculum and the acquisition of such a renowned mathe- did not vary much from World War II until the year matician was a good basis for the evolution of the 1959. Slovenian mathematical science. In 1960, mathematical studies underwent consid- In between the World Wars, the mathematicians erable changes when the Faculty of Sciences and of the University of Ljubljana published a number the Faculty of Mining, Metallurgy, and Chemical of papers on algebra and differential geometry. Technology merged into the Faculty of Sciences The relatively young branches such as topology, and Technology (FNT). Then, mathematical stud- introduction and modern algebra that ies were divided into two two-year programs; the 7 Program in mathematics with physics and the Program in technical mathematics. In 1960, the university founded the Institute of Mathematics, Physics, and Mechanics (IMFM) which has since been giving to Slovenian mathematicians as well as physicists the possibility of scientific engage- ment. In the years 1994-1995, the University of Ljubljana was restructured, and that led to a split- ting of the departments within the FNT. The math- ematics and physics departments formed the present Faculty of Mathematics and Physics (FMF). Officially, the activities of the FMF started on 1st October 1995. During the second half of the twentieth century, mathematics enjoyed tremendous growth result- ing in creation of new branches and high-level spe- cialization of the existing ones. Accordingly, those developments reflect on the variety of research activities of Slovenian mathematicians. The stu- dents will be able to get acquainted with this vari- ety when they opt for elective courses offered within our second cycle study programs, newly designed to implement the principles of the Bologna declaration.

introduction

8 DEPARTMENT OF MATHEMATICS INFORMATION PAGE

Department of Mathematics at the Faculty of Mathematics and Physics (OM FMF)

Jadranska ulica 19 1000 Ljubljana http://www.fmf.uni-lj.si

Student Office of the Department of Mathematics Jadranska ulica 21, 3rd floor, door 3.03 Tel: 01 / 476 65 15 The Mathematics Library Fax: 01 / 476 65 20 of the Faculty houses the E-mail: [email protected] largest collection of mathe- Office hours: Monday to Friday 10.00 to 12.00 AM matical literature in .

FMF Computer Administrators Center Jadranska ulica 21, 3rd floor, door 3.15 Tel: 01 / 476 65 32 E-mail: [email protected] Service hours: Monday to Friday 8.00 AM to 3.00 PM

Lecture rooms Jadranska ulica 21, 2nd floor and 3rd floor

Computer labs Jadranska ulica 21, 3rd floor

Faculty offices (majority) Jadranska ulica 21, 4th floor and 5th floor

Mathematical Library Jadranska ulica 19, 3rd floor Tel: 01 / 476 65 22, 041 627 537 Fax: 01 / 251 72 81 E-mail: [email protected] Opening hours: Monday to Friday 7.00 AM to 3.00 PM introduction

9 Library for Mechanics Lepi pot 11 Tel: 01 / 425 00 72 E-mail: [email protected] Opening hours: Monday to Friday 11.00 AM to 2.30 PM

Publishing and Bookstore Jadranska ulica 21, 3rd floor, door 3.02 Tel: 01 / 476 65 53, 01 / 423 24 60 Fax: 01 / 423 24 60, 01 / 251 72 81 Opening hours: Monday to Friday 10.00 AM to 12.15 PM and 1.00 PM to 2.15 PM The bookstore catalogue is available online at http://www.dmfa-zaloznistvo.si/

Address for orders DMFA-založništvo, p.p. 2964, SI-1001 Ljubljana

introduction

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