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{"id":8557,"date":"2021-04-27T10:52:14","date_gmt":"2021-04-27T10:52:14","guid":{"rendered":"https:\/\/kreator.dev\/matematika\/?page_id=8557"},"modified":"2023-01-17T00:08:36","modified_gmt":"2023-01-17T00:08:36","slug":"pure-mathematics","status":"publish","type":"page","link":"https:\/\/math.pmf.unsa.ba\/eng\/second-cycle-of-study\/pure-mathematics\/","title":{"rendered":"Pure Mathematics"},"content":{"rendered":"

[vc_row][vc_column][vc_column_text]<\/p>\n

The study lasts two academic years (ie four semesters), 120 ECTS credits. Candidates for admission to this study program must have completed the first cycle of a related study. The professional title that is acquired is Master of Mathematics.<\/strong><\/p>\n

[\/vc_column_text][\/vc_column][\/vc_row][vc_row full_width=”stretch_row” el_class=”kreator-strucni-studij”][vc_column][vc_custom_heading text=”Study rules for the II cycle of studies” use_theme_fonts=”yes”][vc_column_text]Classes for each of the majors are held for the duration of four semesters, namely: I, II, II and IV. Each of the majors in each of the semesters I, II and III has 4 subjects, and in the IV semester a master’s thesis is done.<\/p>\n

Each of the subjects is one semester, scored 7-9 ECTS points (credits), and is represented by 5 hours of effective teaching per week, so the number of lecture hours and the number of practice hours, as well as the type of practice hours, is determined by the teacher responsible for that subject, depending on the nature of the subject. . All courses from the first and second semesters are compulsory, as well as two courses from the third semester. Two subjects from the III semester are optional and are related to the topic of the master’s thesis.<\/p>\n

Two optional courses and a master’s thesis (which carries 30 ECTS points) together carry a minimum of 47 ECTS points, which is more than 1\/3 of the total number of points for the entire II cycle of education. They define the degree of respect for the wishes and individual preferences of each student individually. Compulsory courses for each of the majors carry a total of 76 ECTS points, which is 2\/3 of the total number of points for the II cycle of education. They determine the degree of definition of the expert’s profile for a given direction.<\/p>\n

Prije upisa u III semestar student se (u pismenoj formi) opredjeljuje za izborne predmete 1 i 2 sa liste izbornih predmeta za odgovaraju\u0107i smjer. Tako\u0111er, prije upisa u III semestar student, u dogovoru sa nastavnikom (budu\u0107im mentorom zavr\u0161nog rada) i uz saglasnost vije\u0107a Odsjeka opredjeljuje se (u pismenoj formi) i za temu magistarskog rada.<\/p>\n

[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_custom_heading text=”Curriculum and program for “Pure Mathematics“” use_theme_fonts=”yes”][vc_column_text]Valid for students enrolled from the academic year 2016\/17
\n(Nastavni planovi i programi za studente upisane do akademske 2015.\/2016. godine<\/a>)[\/vc_column_text][\/vc_column][\/vc_row][vc_row css=”.vc_custom_1673914113950{margin-top: 40px !important;margin-bottom: 70px !important;}”][vc_column][vc_column_text]<\/p>\n

\n\n\n\n\n\n\n\n\n
Code<\/th>\nCourse Title<\/th>\nSemester I<\/th>\nECTS<\/th>\n<\/tr>\n<\/thead>\n
AMAT 420<\/td>\nPartial Differential Equations<\/a><\/td>\n3+2+0<\/td>\n8<\/td>\n<\/tr>\n
PMAT 435<\/td>\nHarmonic Analysis<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
PMAT 440<\/td>\nCommutative Algebra<\/a><\/td>\n3+2+0<\/td>\n8<\/td>\n<\/tr>\n
PMAT 445<\/td>\nSpecial Functions<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

[\/vc_column_text][vc_empty_space][vc_column_text]<\/p>\n

\n\n\n\n\n\n\n\n\n
Code<\/th>\nCourse Title<\/th>\nSemester II<\/th>\nECTS<\/th>\n<\/tr>\n<\/thead>\n
PMAT 470<\/td>\nFunctional Analysis<\/a><\/td>\n3+2+0<\/td>\n8<\/td>\n<\/tr>\n
PMAT 480<\/td>\nDifferential Geometry<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
PMAT 485<\/td>\nGroup Representation Theory<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
PMAT 490<\/td>\nAnalytic Number Theory<\/a><\/td>\n3+2+0<\/td>\n8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

[\/vc_column_text][vc_empty_space][vc_column_text]<\/p>\n

\n\n\n\n\n\n\n\n\n
Code<\/th>\nCourse Title<\/th>\nSemester III<\/th>\nECTS<\/th>\n<\/tr>\n<\/thead>\n
PMAT 510<\/td>\nAlgebraic Curves<\/a><\/td>\n3+2+0<\/td>\n8<\/td>\n<\/tr>\n
PMAT 520<\/td>\nAlgebraic Number Theory<\/a><\/td>\n3+2+0<\/td>\n8<\/td>\n<\/tr>\n
<\/td>\nElective Course 1<\/td>\n<\/td>\nmin 7<\/td>\n<\/tr>\n
<\/td>\nElective Course 2<\/td>\n<\/td>\nmin 7<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

[\/vc_column_text][vc_empty_space][vc_column_text]<\/p>\n

\n\n\n\n\n\n
Code<\/th>\nCourse Title<\/th>\nSemester IV<\/th>\nECTS<\/th>\n<\/tr>\n<\/thead>\n
AMAT 560<\/td>\nMaster Thesis<\/td>\n20+0+0<\/td>\n30<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

[\/vc_column_text][vc_empty_space][vc_column_text]<\/p>\n

\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Code<\/th>\nElective Course Title<\/th>\nP+A+LV<\/th>\nECTS<\/th>\n<\/tr>\n<\/thead>\n
AMAT 525<\/td>\nIntegral Equations with Applications<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
AMAT 535<\/td>\nInteger and Combinatorial Optimization<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
AMAT 430<\/td>\nNonlinear Optimization<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
AMAT 510<\/td>\nIntegral Transforms with Applications<\/a><\/td>\n3+2+0<\/td>\n8<\/td>\n<\/tr>\n
AMAT 530<\/td>\nMathematical Physics<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
PMAT 545<\/td>\nNonlinear Functional Analysis<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
PMAT 537<\/td>\nSelected Topics in Combinatorics<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
PMAT 525<\/td>\nTopological Groups<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
PMAT 530<\/td>\nP-adic Analysis<\/a><\/td>\n3+2+0<\/td>\n8<\/td>\n<\/tr>\n
PMAT 535<\/td>\nIntroduction to Algebraic Topology<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
PMAT 540<\/td>\nSelected Topics in Number Theory<\/a><\/td>\n3+2+0<\/td>\n7<\/td>\n<\/tr>\n
CS 410<\/td>\nCoding and Information Theory<\/a><\/td>\n3+2+0<\/td>\n8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"

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