Graduates of this academic programme are eligible for employment in computing, technology and logistic sector of the economy, banks and insurance companies, research and planning institutions, technology parks and the public sector.
Mathematics, First Cycle
Mathematics is much more than arithmetic, mathematics is a science that teaches structured and clear thinking. The distinguishing properties of a mathematician are thus the ability to distinguish between right and wrong and between essential and non-essential, rapid learning and setting up transparent models that describe and solve dilemmas in various fields of work, from social sciences through medicine to engineering.
Level:
1
Number of years:
3
Credits per year:
60
Duration:
3 years
(6 semesters), total of 180 ECTS credits
Professional title:
Graduates obtain the title diplomirani matematik (UN)/diplomirana matematičarka (UN), abbreviated to dipl. mat. (UN).
Coordinator(s):
Classification
- KLASIUS-SRV: Academic higher education (first Bologna cycle)/Academic higher education (first Bologna cycle)
- ISCED: Mathematics and statistics
- KLASIUS-P: Mathematics (broad programmes)
- KLASIUS-P-16: Mathematics
- Frascati: Natural Sciences
- SOK level: 7
- EOK level: 6
- EOVK level: First cycle
Curriculum
P = lecture and seminar hours per week
V = theoretical and laboratory exercise hours per week
ECTS = credit points
1. year
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Algebra 1 | 14 | 3/3 | 3/3 |
| Analysis 1 | 18 | 4/4 | 4/4 |
| Physics 1 | 6 | 0/0 | 3/3 |
| 4 | 1/2 | 1/2 | |
| Logic and sets | 6 | 2/2 | 0/0 |
| Computer laboratory | 6 | 1/3 | 0/0 |
| Introduction to programming | 6 | 0/0 | 2/3 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Introductory seminar A | 4 | 2/2 | 0/2 |
| Introductory seminar B | 4 | 0/2 | 2/2 |
2. year
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Algebra 2 | 10 | 2/2 | 2/2 |
| Analysis 2a | 8 | 4/3 | 0/0 |
| Analysis 2b | 8 | 0/0 | 4/3 |
| Discrete mathematics 1 | 5 | 2/2 | 0/0 |
| Physics 2 | 6 | 0/0 | 4/2 |
| 5 | 0/0 | 2/2 | |
| 5 | 0/0 | 2/2 | |
| Programming 1 | 5 | 2/2 | 0/0 |
| Seminar | 3 | 0/0 | 2/0 |
| Point-set topology | 5 | 2/2 | 0/0 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Affine and projective geometry | 5 | 0/0 | 2/2 |
| Algebraic curves | 5 | 0/0 | 2/2 |
| Programming 2 | 5 | 0/0 | 2/2 |
| Introduction to geometric topology | 5 | 0/0 | 2/2 |
3. year
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Analysis 3 | 6 | 3/3 | 0/0 |
| Analysis 4 | 6 | 0/0 | 3/3 |
| Diploma seminar | 7 | 2/0 | 2/0 |
| 5 | 2/2 | 0/0 | |
| 15 | 0/0 | 6/6 | |
| Mechanics 1 | 5 | 2/2 | 0/0 |
| Statistics | 5 | 0/0 | 3/2.53 |
| Introduction to numerical methods | 6 | 3/3 | 0/0 |
| Probability | 5 | 2.47/2.53 | 0/0 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Mathematical modelling | 5 | 0/0 | 2/2 |
| Mechanics 2 | 5 | 0/0 | 2/2 |
| Numerical linear algebra | 5 | 0/0 | 2/2 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Discrete mathematics 2 | 5 | 0/0 | 2/2 |
| Optimization 1 | 5 | 2/2 | 0/0 |
| Data structures and algorithms 1 | 5 | 2/2 | 0/0 |
| Data structures and algorithms 2 | 5 | 0/0 | 2/2 |
| Coding theory and cryptography | 5 | 0/0 | 2/2 |
| 1. sem. | 2. sem. | ||
|---|---|---|---|
| Course | ECTS | P/V | P/V |
| Algebra 3 | 5 | 2/2 | 0/0 |
| Data analysis with machine learning | 5 | 0/0 | 2/2 |
| Elementary geometry | 6 | 0/0 | 3/2 |
| Elementary number theory | 6 | 3/2 | 0/0 |
| Financial mathematics 1 | 5 | 0/0 | 2/2 |
| Fundamentals of databases | 5 | 0/0 | 2/2 |
| Stochastic processes 1 | 5 | 0/0 | 2/2 |
| Game theory | 6 | 3/3 | 0/0 |
| Introduction to differential geometry | 5 | 2/2 | 0/0 |
