The study lasts three academic years (i.e. six semesters), 180 ECTS credits. Candidates for admission to this study program must have completed a four-year high school. The professional title that is acquired is Baccalaureate/Bachelor of Mathematics – Applied Mathematics
The main goal of the study is to provide students with knowledge and skills that qualify them for access to the second cycle of studies and enable them to work as baccalaureates in applied mathematics. Holders of diplomas will acquire fundamental knowledge of general mathematics, theoretical and practical knowledge of applied mathematics, as well as IT knowledge necessary for work in the field of applied mathematics. The acquired knowledge and skills can be applied by diploma holders in practical models of applied mathematics, as well as in laboratories for the development of models and applications. Depending on the choice of electives, students have the opportunity to acquire additional knowledge in various areas of mathematics, teaching methods or computer science.
Mathematics-specific learning outcomes:
Diploma holders are able to:
- formulate and solve problems in general mathematics at the level of typical introductory mathematics courses,
- formulate and solve a problem from the basics of various areas of theoretical mathematics, such as analysis, algebra and geometry, as well as the basics of applied mathematics,
- follow and read the contents of more advanced courses and seminars in the field of theoretical mathematics,
- they use some standard algebraic computing packages.
- Learning outcomes specific to computer science:
Diploma holders are able to:
- effectively use operating systems, as well as computer applications in the field of word processing, spreadsheet calculations and business graphics, as well as some algebraic computer packages,
- analyze the possibilities and methods of solving simpler problems with the help of computers,
- develop simpler programming solutions in different programming languages both without and with the application of object-oriented and generic techniques.
- Generic learning outcomes
Diploma holders are expected to:
- develop analytical and problem-solving skills,
- are able to successfully communicate their ideas using different media,
- use computers in different contexts,
- are able to work independently as well as in a team,
- use literature in English and other foreign languages related to mathematics.
The bachelor’s degree in applied mathematics qualifies the holder to work as a bachelor of mathematics in companies and institutions that use mathematical and statistical models, such as (but not exclusively) insurance companies, banks and institutes of various types, as well as in other companies and institutions that employ bachelors of mathematics . After passing the courses in the pedagogical-psychological and didactic-methodical fields of the first cycle of studies of the Department of Mathematics, the holder of the diploma is qualified to independently teach mathematics subjects in primary schools.
Curriculum for the course "Applied Mathematics"
Valid for students enrolled from the academic year 2016/17
(Nastavni planovi i programi za studente upisane do akademske 2015./2016. godine)
Code | Course Title | Semester I | ECTS |
---|---|---|---|
PMAT 110 | Elementary Mathematics | 2+2+0 | 4 |
PMAT 120 | Analysis I | 4+4+0 | 9 |
PMAT 130 | Introduction to Mathematics | 3+2+0 | 5 |
PMAT 140 | Linear Algebra I | 3+2+0 | 5 |
CS 110 | Programming I | 2+2+2 | 7 |
Code | Course Title | Semester II | ECTS |
---|---|---|---|
PMAT 160 | Analytic Geometry | 2+2+0 | 6 |
PMAT 170 | Analysis II | 4+4+0 | 8 |
PMAT 180 | Elementary Number Theory | 2+2+0 | 4 |
CS 160 | Programming II | 3+2+2 | 6 |
PMAT 190 | Linear Algebra II | 3+2+0 | 6 |
Code | Course Title | Semester III | ECTS |
---|---|---|---|
PMAT 210 | Set Theory | 2+2+0 | 4 |
PMAT 220 | Probability Theory | 2+2+0 | 4 |
PMAT 230 | Analysis III | 4+3+0 | 7 |
AMAT 210 | Differential Equations | 3+2+0 | 6 |
AMAT 220 | Numerical Mathematics | 2+0+2 | 5 |
CS 230 | Computer Algebra Systems | 2+0+2 | 4 |
Code | Course Title | Semester IV | ECTS |
---|---|---|---|
AMAT 260 | Statistics I | 2+1+2 | 5 |
AMAT 280 | Numerical Analysis | 2+0+2 | 5 |
PMAT 270 | Topology | 2+2+0 | 5 |
AMAT 290 | Financial Mathematics | 2+2+0 | 5 |
AMAT 270 | Partial Differential Equations | 3+2+0 | 5 |
Elective Course 1 | min 5 |
Code | Course Title | Semester V | ECTS |
---|---|---|---|
PMAT 310 | Algebra I | 3+3+0 | 6 |
CS 330 | Databases | 3+0+2 | 5 |
AMAT 320 | Actuarial Mathematics | 2+2+0 | 5 |
PMAT 320 | Complex Analysis I | 3+3+0 | 6 |
AMAT 310 | Operations Research | 3+3+0 | 5 |
Elective Course 2 | min 3 |
Code | Course Title | Semester VI | ECTS |
---|---|---|---|
PMAT 380 | Measure Theory and Integration | 3+2+0 | 5 |
PMAT 370 | Introduction to Functional Analysis | 2+2+0 | 5 |
AMAT 360 | Statistics II | 2+1+0 | 5 |
AMAT 380 | Graph Theory | 3+2+0 | 6 |
AMAT 370 | Introduction to Mathematical Modeling | 2+1+0 | 4 |
Elective Course 3 | min 5 |
Code | Course Title | ECTS |
---|---|---|
OTH 260 | English Language | 5 |
PMAT 260 | Geometry I | 5 |
PMAT 280 | Combinatorics | 5 |
Code | Course Title | ECTS |
---|---|---|
AMAT 340 | Dynamical Systems | 4 |
AMAT 345 | Convex Analysis with Applications | 4 |
AMAT 230 | Cryptology | 3 |
CS 320 | Web Programming | 5 |
Code | Course Title | ECTS |
---|---|---|
AMAT 375 | Selected Topics in Graph Theory | 5 |
AMAT 365 | Integer Programming | 5 |
AMAT 355 | Mathematical Modeling in Biology | 5 |
CS 360 | Machine Learning | 5 |