Graduate university study programme Mathematics, specialisation in Computing - Prirodoslovno-matematički fakultet Sveučilišta u Splitu

O studiju

Koncepcija Diplomskog sveučilišnog studija Matematika, smjer: računarstvo, primjetno se razlikuje od one ponuđene na tehničkim fakultetima ili menadžerski orijentiranim studijima a temelji se na nastavnim sadržajima koji omogućavaju istovremeno stjecanje kompetencija iz matematike, računarstva i softverskoga inženjerstva: matematička logika; teorija izračunljivosti; teorija algoritama; matematička teorija računarstva; alati za razvoj softvera. Ovaj studij se temelji na matematičkoj teoriji računarstva, pri čemu se usredotočuje na temeljna znanja iz računarstva koja su neposredno primjenjiva u aktualnom softverskom inženjerstvu, ali koja ipak odolijevaju brzim promjenama informacijske i komunikacijske tehnologije. Za očekivati je da će se studenti koji završe ovaj smjer znati prilagođavati novim tehnologijama te da će se na dulji period pokazati boljim softverskim inženjerima od onih koji su se osposobljavali na tehničkim studijima i to zbog sposobnosti matematičkog modeliranja te snalaženja u apstraktnim pristupima rješavanju problema iz područja računarstva i softverskog inženjerstva.

I semester

LIST OF COURSES
Year of study: 1.
Semester: 1.
STATUS	CODE	COURSES	HORS IN THE SEMESTER				ECTS
STATUS	CODE	COURSES	P	S	V	T	ECTS
Mandatory	PMM205	Cryptography	30	15	15		5
	PMM204	Mathematical Theory of Computation	45		15		5
	PMM911	STATISTICS IN COMPUTER SCIENCE	30		30		5
	PMIH21	Machine Learning	30		30		5
	PMII40	Introduction to natural language processing	30		30		5
	PMIH25	Introduction to Data science	30		30		5
	Total mandatory		195	15	150		30
Elective courses
	PMM306	FINANCIAL MATHEMATICS	30		30		5
	PMM201	VECTOR SPACES I	30		30		6
THE STUDENTS SELECT AT LEAST ONE COURSE FROM THE GROUP OF ELECTIVE COURSES FOR THE 1^ST AND 2^ND SEMESTER COMBINED.

II semester

LIST OF COURSES
Year of study: 1.
Semester: 2.
STATUS	CODE	COURSES	HORS IN THE SEMESTER				ECTS
STATUS	CODE	COURSES	P	S	V	T	ECTS
Mandatory	PMM806	Graph theory	30		30		5
	PMM210	Numerical linear algebra	30		30		5
	PMM129	Computability	30		15		5
	PMIH20	Data minning	30		30		5
	PMID45	Programming paradigms	30		30		5
	Total mandatory		150		135		25
Elective	Elective group Mathematics
	PMM915	Partial Differential Equations	30		30		6
	PMM114	Introduction to topology	30		30		6
	Bira se barem jedan predmet iz izbornih grupa za 1. i 2. semester zajedno.
	Elective group Informatics
	PMID60	Compilers	30		30		5
	PMIH12	Distributed and non-relational databases	30		30		5

III semester

LIST OF COURSES
Year of study: 2.
Semester: 3.
STATUS	CODE	COURSES	HORS IN THE SEMESTER				ECTS
STATUS	CODE	COURSES	P	S	V	T	ECTS
Mandatory	PMM922	Optimization	30	15			5
	PMM127	Game Theory	30		30		5
	PMM920	Complexity of algorithms	30		30		6
	PMID40	Parallel Programming	30		30		5
	PMM808	Coding theory	30		30		5
	Total mandatory		150	15	120		26
Elective	Elective group Mathematics
	PMM912	Metric spaces	45	15			6
	PMM913	Measure and integral	30		30		6
	PMM710	Mathematics in Action					5
	PMM306	FINANCIAL MATHEMATICS	30		30		5
	PMM201	VECTOR SPACES I	30		30		6
	Elective group Informatics
	PMII30	Intelligent agents	30		30		5
	PMII50	Computer Graphics	30		30		5
	PMII15	Deep Learning	30		30		5
	PMID50	Introduction to Software Engineering	30		30		5
	THE STUDENTS SELECT A TOTAL OF NO LESS THAN 7 ECTS OR AT LEAST 6 ECTS (DEPENDING ON THE NUMBER OF ENROLLED ELECTIVE COURSES AND THEIR ECTS CREDITS FOR THE 2^ND SEMESTER), OR ONE OR TWO COURSES FROM THE GROUP OF ELECTIVE COURSES for the 3^rd and 4^th SEMESTeR combined, OF WHICH AT LEAST ONE COURSE FROM THE GROUP OF ELECTIVE COURSES MATHEMATICS for the 3^rd and 4^th SEMESTeR combined. THE STUDENTS INDEPENDENTLY DECIDE ABOUT THE NUMBER OF SELECTED COURSES FOR THE 3^RD AND THE 4^TH SEMESTER.

IV semester

LIST OF COURSES
Year of study: 2.
Semester: 4.
STATUS	CODE	COURSES	HORS IN THE SEMESTER				ECTS
STATUS	CODE	COURSES	P	S	V	T	ECTS
Mandatory	PMM118	Numerical analysis	30		30		5
	PMM991	Diploma thesis		30			22
	Total mandatory		60	30	60		27
Elective	Elective group Mathematics
	PMM228	Probability I	30		30		6
	PMM915	Partial Differential Equations	30		30		6
	PMM215	Normed spaces	45	15			6
	PMM710	Mathematics in Action					5
	PMM502	COMPLEX NETWORKS ANALYSIS	30		30		5
	PMM503	FINANCE LAB	30		30		5
	PMM504	STATISTICS IN BIOMEDICINE	30		30		5
	Elective group Informatics
	PMII20	Cognitive systems	30		30		5
		Vizualizacija podataka	30		30		5
		Strojno učenje u bioinformatici i medicini	30		30		5
	PMII40	Introduction to natural language processing	30		30		5
	PMIC31	Computer vision	30		30		5
	PMII20	Cognitive systems	15		15		2,5
	PMIC50	Distributed systems	30		30		5
	PMID60	Compilers	30		30		5
	PMIH30	Human Computer Interaction:: Fundamentals and Principles	30		30		5
	THE STUDENTS SELECT A TOTAL OF NO LESS THAN 7 ECTS OR AT LEAST 6 ECTS (DEPENDING ON THE NUMBER OF ENROLLED ELECTIVE COURSES AND THEIR ECTS CREDITS FOR THE 2^ND SEMESTER), OR ONE OR TWO COURSES FROM THE GROUP OF ELECTIVE COURSES for the 3^rd and 4^th SEMESTeR combined, OF WHICH AT LEAST ONE COURSE FROM THE GROUP OF ELECTIVE COURSES MATHEMATICS for the 3^rd and 4^th SEMESTeR combined. THE STUDENTS INDEPENDENTLY DECIDE ABOUT THE NUMBER OF SELECTED COURSES FOR THE 3^RD AND THE 4^TH SEMESTER.

CONDITIONS OF ENROLLMENT AND POTENTIAL DIFFERENTIAL COURSES:	ANY UNDERGRADUATE STUDY OF MATHEMATICS OR MATHEMATICS AND OTHER FIELD WITH AT LEAST 115 ECTS IN MATHEMATICAL COURSES AND AT LEAST 39 ECTS IN INFORMATICS / COMPUTER SCIENCE / COMPUTER ENGINEERING COURSES. TOTAL DIFFERENTIAL COURSES CAN NOT EXCEED 30 ECTS.