1. Experiences with Bologna process at the Faculty of Mathematics in Belgrade and with Curriculum at the private faculty RAF Dušan Tošić DAAD project “NEW CURRICULA and BOLOGNA PROCESS”

2. Faculty of Mathematics -Belgrade www.matf.bg.ac.yu (English verision is not updated!) New curriculum is adopted 27.06.2006. All courses are one-semester long. There are different directions with the different durations (3+2 years or 4+1 years) ECTS are provided for each course.

4. History of Faculty Faculty of of Belgrade, officially exists as indenpendend science and education institution since 1995. On 20th december 1873. on "Velika skola" the first Chair of Mathematics was founded on the Natural Science Section of Faculty of Philosophy. This year is 125 years of teaching mathematics on University of Belgrade. Teaching and researh activities, today, are performed by 110 teachers and assistants with about 2000 students on undergraduate and postgraduate studies. There are 9 sections on undergraduate studies: Theoretical Mathematics and Applications, Statistics and Probability, Numerical Mathematics and Optimization, Computer Science and Informatics, Rational Mechanics, Continuum Mechanics, Astronomy, Astrophysics and Teachers of Mathematics and Computers. Postgraduate students may choose amongst different sections: Mathematics (Analysis, Algebra, Geometry, Probability), Computer Science, Astrophysics, Astronomy and Mechanics.

5. 1.Information technologies (3+2 godine)Information technologies (3+2 godine) 2.Theoretical Mathematics ad applications (4+1 years) (4+1 years) 3.Numerical mathematics and optimization (4+1 years) (4+1 years) 4.Statistics and financial mathematics (4+1 years) (4+1 years) 5.Computer sciences and information technologies (4+1 years)Computer sciences and information technologies (4+1 years) 6.Teacher of mathematics and computer sciences (4+1 years) (4+1 years) 7.Mechanics (4+1 years) (4+1 years) 8.Astronomy (4+1 years) (4+1 years) 9.Astrophysics (4+1 years) (4+1 years) PhD -studies Directions at Faculty of Mathematics

6. I year hours Credits P100Programming 13+38 R120Introduction to computer organization3+26 M105Diskrete structures 13+26 M120Linear algebra and analytical geometry 3+26 O1Culture of communications2+04 Total2330 P101Programming 23+38 R220Introduction into computer architecture 3+26 M106Diskrete struktures 23+26 M111Analyses 13+26 O2English language2+04 Total2330 Computer sciences (I year)

7. II year P103Algorithms and data structures3+27 R221Architecture and operating systems3+27 M131Geometry3+26 M112Analyses 23+26 O3English language2+04 Total2230 P210Analyses and design of algorithms3+26 R130Introduction into Web an Internet3+26 P102OO programming3+26 M113Analyses 33+26 M140Algebra3+26 Total2530 Computer sciences (II year)

8. III year R270Relational data base 3+2 6 R240Translations of programming languages 3+2 6 R255Computer graphics 3+2 6 M160Probability and statistics 3+2 6 IPBElective course B 3+2 6 Total 25 30 R225Operating systems 3+2 6 R260Artificial intelligence 3+2 6 R290Software development 3+2 6 M150Introduction into num. analyses 3+2 6 IPBElective course B 3+2 6 Total 25 30 C s o c m i p e u n t c e r s III year

9. IV year pac. 1 pac. 2 R271 Information systems3+26 R230 Network computing3+26 IPM Elective course M3+26 R319 Theory of computation3+26 R390 Software development 23+26 O6 Basic of control3+26 IPA Elective course A3+2 6 Total1025 30 Computer sciences (IV year – I semester)

10. O4 Methodologies in science work2+03 O5 History and philosophy of mathematics and com. Sciences 2+03 R340 Compilers construction3+26 R361 Automatic reasoning3+26 R374 Data mining3+26 R308 Scientific Computing3+26 IPA Elective course A3+2 6 IPA Elective course A3+2 6 Total424 30 Computer sciences (IV year)-II semester

11. V yearpac.1pac.2 R310 Analyses and design algorithms 2 3+26 R353 Development of interactive systems 3+26 R318 Mathematical programming and optimization 3+26 R373 Distributed object data base3+26 IPA Elective course A3+2 6 IPA Elective course A3+2 6 Total025 30 IPA Elective course A3+2 6 IPA Elective course A3+2 6 Thesis1518 Total1525 30 C s o c m i p e u n t c e r s V year

12. Elective B (basic) M305 Numerical analyses3+26 R310 Analyses and design algorithms 23+26 R319 Theory of computation3+26 R320 Advanced architectures of computers 3+26 R340 Compilers constructions3+26 R343 Programming paradigms3+26 R351 GUI3+26 R361 Automatic reasoning3+26 R370 Data base23+26 The elective courses (Basic)

13. Elective A M302 Advanced probability and statistics3+26 M303 Coding and information theory3+26 R307 Simulation and modeling3+26 R308 Scientific Computing3+26 R309 Bioinformatika3+26 R300 Computer based astronomy3+26 R311 Language theory and automata3+ 26 R312 Cryptography3+26 R313 Geometrical algorithms3+26 R314 Parallel algorithms3+26 The elective courses (Advanced)

14. Remarks: 1. Presented direction is new one with the concept 3+2 2. There are (still) a lot of mathematical courses (the situation is worse on the others directions). 3. Student should get 60 credits per year to enroll next year. 4. Student has two terms to finish exam. 5.Phd-studies should be defined in more details.

15. Faculty of Computer sciences (ser.RAF-RAčunarski Fakultet) www.raf.edu.yu (Only Serbian version) www.raf.edu.yu Private faculty. Founded 4 years ago. The programs are prepared according to Bologna process and ACM/IEEE curriculum. The permanent changes of programs are made. ECTS are provides for each course.

16. There are: I level study and II level study (Advanced and Master study)

17. I year I semester General dir.Math.-software dir. PREDMET II semester I semester II semester 1.M112Linear algebra63+3 2.CS105Discrete structure iI52+2 3.CS111oIntroduction into programming63+3 4.CS120 Introduction into computer organization 62+2 5.N101English language I42+2 6.N103Oral and written presentation32+2 7.M111Mathematical analyses6 3+3 8.CS106Discrete structures II5 2+2 9.CS112oOO Programming5 2+2 10.CS130Introduction into WWW5 2+2 11.CS111iProcedural programming5 2+2 12.N102English language II4 2+2 Hours per week 14+1413+1314+1413+13 Total 28262826 Total credits 30 I year

18. R.b. II year III semester General dir.Math. Software dir PREDMET IV semesterIII semester IV semester 1. CS210Algorithms analyses and design63+3 2. CS220Computer architectures62+2 3. CS225Operating systems62+2 4. CS250Interaction human-computer62+2 5. CS305Numerical analyses6 3+3 6. N201English language 342+2 7. B201Business applications I20+2 8. M211Advanced mathematical analyses5 2+2 9. CS230Computer networks6 2+2 10. CS291 Software development and programming of systems 6 2+2 11. CS255Computer graphics6 2+2 12. CS302Probability and statistics5 2+2 13. CS271sManaging of information6 2+2 14. N202English language 44 2+2 15. B202Business applications II2 2+2 Hours per week 11+1312+12 Total 24 Total credits 30 2832 II year

19. The third year is specific. There are 6 directions: Programming Engineering systems Computer networks and communications Information management New software technologies Multimedia On the next 2 slides only the program of Programming direction is specified.

20. b. III year: PROGRAMMING DIRECTION CourseECTS credits V semesterVI semester 1.CS340Compilers63+4 2.CS390Software development62+3 3.CS320Advanced computer architectures62+2 4. Elective course 162+2 5. Elective course 262+2 6.CS314Parallel algorithms6 2+2 7.CS338Web programming6 2+3 8.CS346Script Languages3 2+3 9.CS385Intellectual properties3 2+0 10. Elective course 36 2+2 11. Elective course 46 2+2 Hours per week 11+1312+12 Total 24 Total credits 30 III year (Programming direction)

21. Elective course for V semester ( 2 courses should be chosen) CS360Intelligent systems62+2 CS370Advanced data base62+2 CS325Advanced operating systems62+2 CS326Concurrent and distributed systems62+2 CS373Distributed and object data base62+2 CS351GUI62+2 Elective course for VI semester ( 2 courses should be chosen ) CS329Real time systems6 2+2 CS307Modeling and simulation6 2+2 CS396Software components6 2+2 CS311Theory of algorithms, automata and languages6 2+2 CS303Coding and Information theory6 2+2 CS353Development of interactive systems6 2+2 The elective courses

22. IV year For all directions: Student’s practice 15 ECTS Diploma work15 ECTS Additional courses are obligatory.

23. Additional courses (Programming direction) Analyses requests and definition.NET arch. solution. Development and implementation Windows application by using Microsoft Visual Basic.NET i Microsoft Visual Studio.NET tools. Development and implementation Web applications by using Microsoft C#.NET i Microsoft Visual Studio.NET tools. Development and implementation Windows application by using Microsoft#.NET i Microsoft Visual Studio.NET tools. Development XML Web services i services components by using Microsoft C#.NET i Microsoft.NET frameworks.

24. Instead of conclusion The Bologna process is very active on both  private and  state faculties. The program are made, mainly, according to ACM/IEEE curriculum. The postgraduate study are not yet defined in the proper way.