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Practical Mathematics (first cycle)

Study program cycle and type:

First cycle professional study program.

Anticipated professional title:

In Slovenian: diplomirani matematik (VS), diplomirana matematičarka (VS), abbreviated to dipl. mat. (VS)

Duration:

3 full years (6 terms) based on 180 ECTS credits

Primary goals:

The primary goal of the professional study program in Practical Mathematics is to produce professionals capable of application of their mathematical knowledge in the working process in communications and information technology, technology, logistics, and elsewhere.

Generic competences developed by the student:

Subject specific competences developed by the student:

Employment possibilities:

Graduates of the professional study program in Practical Mathematics can find employment in

Admission requirements and admission limitation measures

Admission to the study program is open to holders of the final examination certificate, the vocational matura certificate or the matura certificate obtained by completion of any four-year high school equivalent program.

If the number of applicants exceeds the maximum availability, the applicants are selected according to their high school achievements weighted in the following way:

Validation of competences, knowledge, and skills acquired prior to admission to the study program

Students may apply for validation of their competences acquired previously by means of various forms of education if their competences match those of one or more courses offered within this study program. In a formal written request submitted to the mathematics department at the FMF, the applicant must specify the course(s) whose competences he or she had already mastered, and attach accredited transcripts proving it. When considering the possible validation of competences corresponding to a particular course, the department study committee bases its decision on a comparison of

If the study committee decides to validate the previously acquired competences, the student is awarded all ECTS credits that correspond to the respective course(s). In the validation process, the study committee follows The rules and guidelines for validation of informally acquired knowledge and skills, accepted by the Senate of The University of Ljubljana on 29 May 2007 (http://www.unilj.si/o_univerzi_v_ljubljani/statut_in_pravilniki.aspx).

Grading system

The methods for testing the competences, knowledge, and skills are described in the courses syllabi. The basic knowledge testing rules are explained in the Exam guidelines of FMF. Course examinations are either written or oral or both. They can have the form of midterm exams, oral defense of the midterm exams, written exams, oral exams, seminar or project work and oral defense of seminar and project work.

Grading is based on the grading scale determined in the Statute of The University of Ljubljana. All forms of examinations are graded by grades 1-10, out of which 6-10 are passing grades, and 1-5 are failing grades. The following grading scale is most commonly used for grading the score of a written course examination:

Score (in %) grade
50 - 59 % 6
60 - 69 % 7
70 - 79 % 8
80 - 89 % 9
90 - 100 % 10

Enrollment requirements

Enrollment in the first study year is granted upon admission.

For enrollment in the next study year, it is necessary to earn 54 ECTS credits from courses and exams in the current study year. In addition, all exams of the first study year must have been completed to be allowed enrollment in the third study year.

Re-enrollment requirements

For re-enrollment in the same study year, a student needs to earn:

a) at least half of all possible credits of the current study year (30 ECTS credits), and

b) all credits from the previous study years.

Re-enrollment is only possible once in the course of studies. A change of the study program as result of disability of enrollment in the next study year is automatically counted as re-enrollment.

Curriculum

The spreadsheet data are given for both the winter and the summer term.
Each term comprises 15 weeks of classes.

Abbreviations:
L = lectures per semester (in hours),
P = problem sessions per semester (in hours),
Lab = lab classes per semester (in hours),
S = seminars per semester (in hours),
ECTS = ECTS credits worth,
TSW = estimated total student workload (in hours).

1st year

 Winter termSummer termTotal
CourseLPLabSECTSTSWLPLabSECTSTSWECTSTSW
Mathematics 1 60 60 0 0 9 270 60 60 0 0 9 270 18 540
Linear algebra 45 45 0 0 7 210 45 45 0 0 7 210 14 420
Computer lab 15 0 30 0 3 90 0 0 0 0 0 0 3 90
Introduction to programming 15 0 30 0 3 90 0 0 0 0 0 0 3 90
Programming 1 0 0 0 0 0 0 15 0 45 0 4 120 4 120
Mathematics in practice 0 0 0 0 0 0 30 15 15 0 4 120 4 120
Introduction to physics 45 0 0 0 3 90 0 0 45 0 2 60 5 150
Cognate elective 30 30 0 0 5 150 0 0 0 0 0 0 5 150
Cognate elective 0 0 0 0 0 0 30 15 0 0 4 120 4 120
Term total 210 135 60 0 30 900 180 135 105 0 30 900 60 1800

Cognate elective course

The department of Mathematics at the FMF offers a foreign language course:

 Winter termSummer termTotal
CourseLPLabSECTSTSWLPLabSECTSTSWECTSTSW
Foreign language - English 30 15 0 0 5 150 30 15 0 0 4 120 9 270

In addition to the foreign language - English, students may take a cognate course from the curriculum of any 1st cycle professional study program offered at the University of Ljubljana, for example the VPEŠ program at the Faculty of Economics or the 1st cycle professional programs offered at technical faculties.

2nd year

 Winter termSummer termTotal
CourseLPLabSECTSTSWLPLabSECTSTSWECTSTSW
Mathematics 2 45 45 0 0 6 180 45 45 0 0 6 180 12 360
Numerical methods 1 30 15 15 0 5 150 30 15 15 0 5 150 10 300
Computer tools in mathematics 15 0 30 0 3 90 0 0 0 0 0 0 3 90
Programming 2 30 0 30 0 5 150 0 0 0 0 0 0 5 150
Algebra and discrete mathematics 45 45 0 0 6 180 0 0 0 0 0 0 6 180
Probability 30 30 0 0 5 150 0 0 0 0 0 0 5 150
Statistics 0 0 0 0 0 0 30 15 15 0 5 150 5 150
Mathematical tools in physics 0 0 0 0 0 0 45 0 45 0 6 180 6 180
Communication in mathematics 0 0 0 0 0 0 0 0 0 30 3 90 3 90
Differential equations 0 0 0 0 0 0 30 30 0 0 5 150 5 150
Term total 195 135 75 0 30 900 180 105 75 30 30 900 60 1800

3rd year

 Winter termSummer termTotal
CourseLPLabSECTSTSWLPLabSECTSTSWECTSTSW
Partial differential equations 30 30 0 0 5 150 0 0 0 0 0 0 5 150
Optimization 45 45 0 0 6 180 0 0 0 0 0 0 6 180
Computer science 1 30 0 45 0 5 150 0 0 0 0 0 0 5 150
Mechanics 30 15 15 0 5 150 0 0 0 0 0 0 5 150
Project work 0 0 0 30 4 120 0 0 0 0 0 0 4 120
Work experience 0 0 0 0 0 0 0 0 0 30 15 450 15 450
Elective 1 20 15 15 0 5 150 0 0 0 0 0 0 5 150
Elective 2 0 0 0 0 0 0 30 15 15 0 5 150 5 150
Elective 3 0 0 0 0 0 0 30 15 15 0 5 150 5 150
Elective 4 0 0 0 0 0 0 30 15 15 0 5 150 5 150
Term total 165 105 75 30 30 900 90 45 45 30 30 900 60 1800

Electives

  Winter termSummer termTotal
CourseGroupLPLabSECTSTSWLPLabSECTSTSWECTSTSW
Geometry of curves and surfaces   30 30 0 0 5 150 0 0 0 0 0 0 5 150
Numerical methods 2   30 15 15 0 5 150 0 0 0 0 0 0 5 150
Programming 3   30 0 45 0 5 150 0 0 0 0 0 0 5 150
Topics in physics   30 0 30 0 5 150 0 0 0 0 0 0 5 150
Numerical methods 3   0 0 0 0 0 0 30 15 15 0 5 150 5 150
Mathematical modelling I1 0 0 0 0 0 0 30 15 15 0 5 150 5 150
System modelling and management I1 0 0 0 0 0 0 30 15 15 0 5 150 5 150
Dynamical modelling I1 0 0 0 0 0 0 30 15 15 0 5 150 5 150
Discrete modelling I1 0 0 0 0 0 0 30 15 15 0 5 150 5 150
Databases   0 0 0 0 0 0 30 0 30 0 5 150 5 150
Computer science 2   0 0 0 0 0 0 30 0 45 0 5 150 5 150
Discrete mathematics 2   0 0 0 0 0 0 30 30 0 0 5 150 5 150
Computer security   0 0 0 0 0 0 30 15 15 0 5 150 5 150

Remark: Each student opts for at least four of the electives listed in the above table: at least one in the winter and at least three in the summer term. Of those, at least one must belong to group I1.

Students studying at a foreign institution as part of the Socrates-Erasmus exchange program can transfer up to 30 ECTS credits awarded at that institution in the case of a single term exchange or 60 ECTS credits in the case of a full year exchange.