{"id":975,"date":"2023-07-21T10:34:22","date_gmt":"2023-07-21T10:34:22","guid":{"rendered":"https:\/\/yed.vvg.mybluehost.me\/\/%d0%b3%d0%b5%d0%be%d0%b4%d0%b5%d0%b7%d0%b8%d1%98%d0%b0-%d0%b8-%d0%b3%d0%b5%d0%be%d0%b8%d0%bd%d1%84%d0%be%d1%80%d0%bc%d0%b0%d1%82%d0%b8%d0%ba%d0%b0\/"},"modified":"2026-10-05T06:51:25","modified_gmt":"2026-10-05T06:51:25","slug":"%d0%b3%d0%b5%d0%be%d0%b4%d0%b5%d0%b7%d0%b8%d1%98%d0%b0-%d0%b8-%d0%b3%d0%b5%d0%be%d0%b8%d0%bd%d1%84%d0%be%d1%80%d0%bc%d0%b0%d1%82%d0%b8%d0%ba%d0%b0","status":"publish","type":"page","link":"https:\/\/gf.ukim.edu.mk\/en\/%d0%b3%d0%b5%d0%be%d0%b4%d0%b5%d0%b7%d0%b8%d1%98%d0%b0-%d0%b8-%d0%b3%d0%b5%d0%be%d0%b8%d0%bd%d1%84%d0%be%d1%80%d0%bc%d0%b0%d1%82%d0%b8%d0%ba%d0%b0\/","title":{"rendered":"Geodesy and Geoinformatics"},"content":{"rendered":"

The structure of the study program is organized into six semesters<\/p>\n\n\n\n

Distribution of courses by semesters and years of the study programme Geodesy and Geoinformatics Geodesy and Geoinformatics<\/strong><\/p>\n\n\n\n

First Year - Winter Semester<\/strong><\/td><\/tr>
No.<\/strong><\/td>Module<\/strong><\/td>Course Code<\/strong><\/td>Course Title<\/strong><\/td>Class Hours<\/strong><\/td>European credits (ECTS)<\/strong><\/td><\/tr>
1<\/td>\u041c5 – 1  \u0437\u0430\u0434.<\/td>GD1-01<\/td>Mathematics 1<\/a><\/td>4+4<\/td>8<\/td><\/tr>
2<\/td>\u041c5 – 2  \u0437\u0430\u0434.<\/td>GD1-02<\/td>Fundamentals of Geodesy<\/a><\/td>3+4<\/td>8<\/td><\/tr>
3<\/td>\u041c5 – 3  \u0437\u0430\u0434.<\/td>GD1-03<\/td>Computer Applications in Geodesy<\/a><\/td>2+2<\/td>4<\/td><\/tr>
4<\/td>\u041c5 – 4  \u0437\u0430\u0434.<\/td>GD1-04<\/td>Introduction to WEB<\/em> Design<\/a><\/td>2+2<\/td>5<\/td><\/tr>
5<\/td>\u041c5 – 5  \u0438\u0437\u0431.<\/td>\u0438\u0437\u0431\u043e\u0440\u0435\u043d<\/td>Elective from general courses<\/td>2+2<\/td>5<\/td><\/tr>
To<\/strong>tal:<\/strong><\/td>13+14<\/strong><\/td>30<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
First Year - Summer semester<\/strong><\/td><\/tr>
No.<\/strong><\/td>Module<\/strong><\/td>Course Code<\/strong><\/td>Course Title<\/strong><\/td>Class Hours<\/strong><\/td>European credits (ECTS)<\/strong><\/td><\/tr>
6<\/td>\u041c6 – 1  \u0437\u0430\u0434.<\/td>GD1-05<\/td>Geodesy 1<\/a><\/td>3+4<\/td>8<\/td><\/tr>
7<\/td>\u041c6 – 2  \u0437\u0430\u0434.<\/td>GD1-06<\/td>Geodetic Foundations<\/a><\/td>2+3<\/td>7<\/td><\/tr>
8<\/td>\u041c5 – 6  \u0437\u0430\u0434.<\/td>GD1-07<\/td>Introduction to Programming<\/a><\/td>2+2<\/td>5<\/td><\/tr>
9<\/td>\u041c5 – 7  \u0437\u0430\u0434.<\/td>GD1-08<\/td>CAD<\/em> -Oriented Software<\/a><\/td>2+2<\/td>5<\/td><\/tr>
10<\/td>\u041c5 – 8  \u0438\u0437\u0431.<\/td>\u0438\u0437\u0431\u043e\u0440\u0435\u043d<\/td>Elective from general courses<\/td>2+2<\/td>5<\/td><\/tr>
To<\/strong>tal:<\/strong><\/td>1<\/strong>1<\/strong>+1<\/strong>3<\/strong><\/td>30<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Secound Year - Winter Semester<\/strong><\/td><\/tr>
No.<\/strong><\/td>Module<\/strong><\/td>Course Code<\/strong><\/td>Course Title<\/strong><\/td>Class Hours<\/strong><\/td>European credits (ECTS)<\/strong><\/td><\/tr>
11<\/td>\u041c6 – 3  \u0437\u0430\u0434.<\/td>GD1-09<\/td>Theory of Errors<\/a><\/td>3+4<\/td>8<\/td><\/tr>
12<\/td>\u041c6 – 4  \u0437\u0430\u0434.<\/td>GD1-10<\/td>Geodetic Measurement Technology<\/a><\/td>2+3<\/td>6<\/td><\/tr>
13<\/td>\u041c6 – 5  \u0437\u0430\u0434.<\/td>GD1-11<\/td>Geodetic Metrology<\/a><\/td>3+3<\/td>6<\/td><\/tr>
14<\/td>\u041c5 – 9  \u0438\u0437\u0431.<\/td>\u0438\u0437\u0431\u043e\u0440\u0435\u043d<\/td>Elective from Group 1<\/td>2+2<\/td>5<\/td><\/tr>
15<\/td>\u041c5 – 10  \u0438\u0437\u0431.<\/td>\u0438\u0437\u0431\u043e\u0440\u0435\u043d<\/td>Elective from Group 1<\/td>2+2<\/td>5<\/td><\/tr>
To<\/strong>tal:<\/strong><\/td>12+14<\/strong><\/td>30<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Secound Year - Summer Semester<\/strong><\/td><\/tr>
No.<\/strong><\/td>Module<\/strong><\/td>Course Code<\/strong><\/td>Course Title<\/strong><\/td>Class Hours<\/strong><\/td>European credits (ECTS)<\/strong><\/td><\/tr>
16<\/td>\u041c6 – 6  \u0437\u0430\u0434.<\/td>GD1-12<\/td>Geodetic Adjustments<\/a><\/td>3+3<\/td>6<\/td><\/tr>
17<\/td>\u041c6 – 7  \u0437\u0430\u0434.<\/td>GD1-13<\/td>Cadastre<\/a><\/td>3+3<\/td>6<\/td><\/tr>
18<\/td>\u041c5 – 11  \u0437\u0430\u0434.<\/td>GD1-14<\/td>General cartography<\/a><\/td>2+2<\/td>4<\/td><\/tr>
19<\/td>\u041c5 – 12  \u0437\u0430\u0434.<\/td>GD1-15<\/td>Software Packages in Geodesy<\/a><\/td>2+2<\/td>4<\/td><\/tr>
20<\/td>\u041c5 – 13  \u0438\u0437\u0431.<\/td>\u0438\u0437\u0431\u043e\u0440\u0435\u043d<\/td>Elective from Group 2<\/td>2+2<\/td>4<\/td><\/tr>
21<\/td>\u041c6 – 8  \u0437\u0430\u0434.<\/td>GD1-16<\/td>Geodetic Practice 1<\/a><\/td>0+6<\/td>6<\/td><\/tr>
To<\/strong>tal:<\/strong><\/td>12+18<\/strong><\/td>30<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Third Year - Winter Semester<\/strong><\/td><\/tr>
No.<\/strong><\/td>Module<\/strong><\/td>Course Code<\/strong><\/td>Course Title<\/strong><\/td>Class Hours<\/strong><\/td>European credits (ECTS)<\/strong><\/td><\/tr>
22<\/td>\u041c6 – 9  \u0437\u0430\u0434.<\/td>GD1-17<\/td>Engineering faculty<\/a><\/td>3+3<\/td>8<\/td><\/tr>
23<\/td>\u041c6 – 10  \u0437\u0430\u0434.<\/td>GD1-18<\/td>Point Cloud Processing<\/a><\/td>2+2<\/td>5<\/td><\/tr>
24<\/td>\u041c6 – 11  \u0437\u0430\u0434.<\/td>GD1-19<\/td>Ellipsoidal Geodesy<\/a><\/td>2+2<\/td>5<\/td><\/tr>
25<\/td>\u041c6 – 12  \u0437\u0430\u0434.<\/td>GD1-20<\/td>Geographic Information Systems<\/a><\/td>3+3<\/td>8<\/td><\/tr>
26<\/td>\u041c5 – 14  \u0437\u0430\u0434.<\/td>GD1-21<\/td>Spatial Planning<\/a><\/td>2+2<\/td>4<\/td><\/tr>
To<\/strong>tal:<\/strong><\/td>12+12<\/strong><\/td>30<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Third Year - Summer Semester<\/strong><\/td><\/tr>
No.<\/strong><\/td>Module<\/strong><\/td>Course Code<\/strong><\/td>Course Title<\/strong><\/td>Class Hours<\/strong><\/td>European credits (ECTS)<\/strong><\/td><\/tr>
27<\/td>\u041c6 – 13  \u0437\u0430\u0434.<\/td>GD1-22<\/td>Advanced Geodesy<\/a><\/td>3+3<\/td>6<\/td><\/tr>
28<\/td>\u041c6 – 14  \u0437\u0430\u0434.<\/td>GD1-23<\/td>Global Positioning Systems<\/a><\/td>2+2<\/td>4<\/td><\/tr>
29<\/td>\u041c6 – 15  \u0437\u0430\u0434.<\/td>GD1-24<\/td>Fundamentals of Photogrammetry<\/a><\/td>3+3<\/td>6<\/td><\/tr>
30<\/td>\u041c6 – 16  \u0437\u0430\u0434.<\/td>GD1-25<\/td>Mathematical cartography<\/a><\/td>3+3<\/td>6<\/td><\/tr>
31<\/td>\u041c6 – 17  \u0437\u0430\u0434.<\/td>GD1-26<\/td>Geodetic Practice 2<\/a><\/td>0+5<\/td>4<\/td><\/tr>
32<\/td>\u041c7 – 1  \u0437\u0430\u0434.<\/td>GD1-27<\/td>Bachelor's Thesis<\/a><\/td>0+4<\/td>4<\/td><\/tr>
To<\/strong>tal:<\/strong><\/td>11+20<\/strong><\/td>30<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

List of elective courses<\/strong><\/p>\n\n\n\n

No.<\/strong><\/td>COURSE<\/strong><\/td>Class Hours<\/strong><\/td>Course Code<\/strong><\/td>\u043a\u0440\u0435\u0434\u0438\u0442\u0438<\/strong><\/td><\/tr>
 <\/td>Elective general courses<\/em><\/strong><\/td> <\/td> <\/td> <\/td><\/tr>
1<\/td>Theoretical Mechanics<\/a><\/td>2+2<\/td>GD1-28<\/td>5<\/td><\/tr>
2<\/td>Geodetic Regulations<\/a><\/td>2+2<\/td>GD1-29<\/td>5<\/td><\/tr>
3<\/td>Probability and Statistics<\/a><\/td>2+2<\/td>GD1-30<\/td>5<\/td><\/tr>
4<\/td>Spherical Trigonometry<\/a><\/td>2+2<\/td>GD1-31<\/td>5<\/td><\/tr>
 <\/td>Elective courses \u2013 Group 1<\/em><\/strong><\/td> <\/td> <\/td> <\/td><\/tr>
1<\/td>Fundamentals of Transport Infrastructure<\/a><\/td>2+2<\/td>GD1-32<\/td>5<\/td><\/tr>
2<\/td>Fundamentals of Hydraulic Engineering<\/a><\/td>2+2<\/td>GD1-33<\/td>5<\/td><\/tr>
3<\/td>Fundamentals of Building Structures<\/a><\/td>2+2<\/td>GD1-34<\/td>5<\/td><\/tr>
4<\/td>Fundamentals of Geomorphology<\/a><\/td>2+2<\/td>GD1-35<\/td>5<\/td><\/tr>
 <\/td>Elective courses \u2013 Group 2<\/em><\/strong><\/td> <\/td> <\/td> <\/td><\/tr>
1<\/td>Fundamentals of Real Estate Valuation<\/a><\/td>2+2<\/td>GD1-36<\/td>4<\/td><\/tr>
2<\/td>Databases<\/a><\/td>2+2<\/td>GD1-37<\/td>4<\/td><\/tr>
3<\/td>Geodesy 2<\/a><\/td>2+2<\/td>GD1-38<\/td>4<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Course prerequisites<\/p>\n\n\n\n

1st<\/strong> sem.<\/strong><\/td>Courses<\/strong><\/td>prerequisite<\/strong><\/td><\/tr>
1<\/td>Mathematics 1<\/td>–<\/td><\/tr>
2<\/td>Fundamentals of Geodesy<\/td>–<\/td><\/tr>
3<\/td>Computer Applications in Geodesy<\/td>–<\/td><\/tr>
4<\/td>Introduction to WEB<\/em> Design<\/td>–<\/td><\/tr>
5<\/td>Elective from general courses<\/td>–<\/td><\/tr>
 <\/strong><\/td>Elective general courses<\/em><\/strong><\/td>prerequisite<\/strong><\/td><\/tr>
 <\/td>Theoretical Mechanics<\/td>–<\/td><\/tr>
 <\/td>Geodetic Regulations<\/td>–<\/td><\/tr>
II<\/strong> sem.<\/strong><\/td>Courses<\/strong><\/td>prerequisite<\/strong><\/td><\/tr>
6<\/td>Geodesy 1<\/td>Fundamentals of Geodesy *<\/td><\/tr>
7<\/td>Geodetic Foundations<\/td>–<\/td><\/tr>
8<\/td>Introduction to Programming<\/td>–<\/td><\/tr>
9<\/td>CAD<\/em> -Oriented Software<\/td>–<\/td><\/tr>
10<\/td>Elective from general courses<\/td>–<\/td><\/tr>
 <\/strong><\/td>Elective general courses<\/em><\/strong><\/td>prerequisite<\/strong><\/td><\/tr>
 <\/td>Probability and Statistics<\/td>–<\/td><\/tr>
 <\/td>Spherical Trigonometry<\/td>–<\/td><\/tr>
III<\/strong> sem.<\/strong><\/td>Courses<\/strong><\/td>prerequisite<\/strong><\/td><\/tr>
11<\/td>Theory of Errors<\/td>Mathematics 1<\/td><\/tr>
12<\/td>Geodetic Measurement Technology<\/td>Geodesy 1<\/td><\/tr>
13<\/td>Geodetic Metrology<\/td>Geodesy 1<\/td><\/tr>
14<\/td>Elective from Group 1<\/td>Geodetic Foundations<\/td><\/tr>
15<\/td>Elective from Group 1<\/td>Geodetic Foundations<\/td><\/tr>
 <\/strong><\/td>Elective courses \u2013 Group 1<\/em><\/strong><\/td>prerequisite<\/strong><\/td><\/tr>
 <\/td>Fundamentals of Transport Infrastructure<\/td>Geodetic Foundations<\/td><\/tr>
 <\/td>Fundamentals of Hydraulic Engineering<\/td>Geodetic Foundations<\/td><\/tr>
 <\/td>Fundamentals of Building Structures<\/td>Geodetic Foundations<\/td><\/tr>
 <\/td>Fundamentals of Geomorphology<\/td>Geodetic Foundations<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
IV<\/strong> sem.<\/strong><\/td>Courses<\/strong><\/td>prerequisite<\/strong><\/td><\/tr>
16<\/td>Geodetic Adjustments<\/td>Theory of Errors *<\/td><\/tr>
17<\/td>Cadastre<\/td>Geodetic Foundations<\/td><\/tr>
18<\/td>General cartography<\/td>–<\/td><\/tr>
19<\/td>Software Packages in Geodesy<\/td>Introduction to Programming<\/td><\/tr>
20<\/td>Elective from Group 2<\/td>Geodesy 1<\/td><\/tr>
21<\/td>Geodetic Practice 1<\/td>Geodesy 1<\/td><\/tr>
 <\/strong><\/td>Elective courses \u2013 Group 2<\/em><\/strong><\/td>prerequisite<\/strong><\/td><\/tr>
 <\/td>Fundamentals of Real Estate Valuation<\/td>Geodesy 1<\/td><\/tr>
 <\/td>Databases<\/td>Geodesy 1<\/td><\/tr>
 <\/td>Geodesy 2<\/td>Geodesy 1<\/td><\/tr>
V<\/strong> sem.<\/strong><\/td>Courses<\/strong><\/td>prerequisite<\/strong><\/td><\/tr>
22<\/td>Engineering faculty<\/td>Geodetic Metrology<\/td><\/tr>
23<\/td>Point Cloud Processing<\/td>–<\/td><\/tr>
24<\/td>Ellipsoidal Geodesy<\/td>\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 1, \u0413\u0435\u043e\u0434\u0435\u0437\u0438\u0458\u0430 1<\/td><\/tr>
25<\/td>Geographic Information Systems<\/td>\u0413\u0435\u043e\u0434\u0435\u0442\u0441\u043a\u0438 \u043f\u043e\u0434\u043b\u043e\u0433\u0438, \u0412\u043e\u0432\u0435\u0434 \u0432\u043e \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u0438\u0440\u0430\u045a\u0435<\/td><\/tr>
26<\/td>Spatial Planning<\/td>Cadastre<\/td><\/tr>
VI<\/strong> sem.<\/strong><\/td>Courses<\/strong><\/td>prerequisite<\/strong><\/td><\/tr>
27<\/td>Advanced Geodesy<\/td>Theory of Errors\n

Geodetic Metrology<\/p>\n<\/td><\/tr>

28<\/td>Global Positioning Systems<\/td>\u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0430 1, \u0413\u0435\u043e\u0434\u0435\u0442\u0441\u043a\u0430 \u043c\u0435\u0440\u043d\u0430 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0458\u0430<\/td><\/tr>
29<\/td>Fundamentals of Photogrammetry<\/td>–<\/td><\/tr>
30<\/td>Mathematical cartography<\/td>Mathematics 1<\/td><\/tr>
31<\/td>Geodetic Practice 2<\/td>\u0413\u0435\u043e\u0434\u0435\u0442\u0441\u043a\u0430 \u043f\u0440\u0430\u043a\u0441\u0430 1,\n

\u0412\u0438\u0448\u0430 \u0433\u0435\u043e\u0434\u0435\u0437\u0438\u0458\u0430 *,<\/p>\n

\u0418\u043d\u0436\u0435\u043d\u0435\u0440\u0441\u043a\u0430 \u0433\u0435\u043e\u0434\u0435\u0437\u0438\u0458\u0430 *<\/p>\n<\/td><\/tr>

32<\/td>Bachelor's Thesis<\/td>\u041f\u043e\u043b\u043e\u0436\u0435\u043d\u0438 \u0441\u0438\u0442\u0435 \u043f\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043d\u0438 \u043f\u0440\u0435\u0434\u043c\u0435\u0442\u0438 \u0438 \u0441\u0442\u0435\u043a\u043d\u0430\u0442\u0438 140 \u0415\u041a\u0422\u0421<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

* \u2013 The condition for attending courses that depend on other courses in the same study year is obtaining the signature (course attendance certification).<\/p>\n\n\n\n

The structure of the study programme is modular, with the following assumed modules:<\/p>\n\n\n\n

Module M5 \u2013 Advanced level of fundamental knowledge<\/p>\n\n\n\n

Module M6 \u2013 Advanced level of specific knowledge<\/p>\n\n\n\n

Module M7 \u2013 Bachelor's Thesis<\/p>\n\n\n\n

The distribution of the course programmes, given in Table 6.1, is:<\/p>\n\n\n\n

    \n
  • The first-semester programme has 4 compulsory courses and 1 elective course. All 5 courses belong to module M5. The courses aim to level out the knowledge of the basic subject matter, given that admission to the studies is not restricted. .<\/strong> .<\/li>\n\n\n\n
  • The second semester contains a total of 5 courses, of which 4 are compulsory and 1 is elective. In this semester, 3 courses belong to module M5 and 2 to M6<\/strong> .<\/li>\n\n\n\n
  • The third semester contains a total of 5 courses, of which 3 are compulsory and 2 are elective. Of these, 2 courses belong to module M5 and 3 to module M6<\/strong> .<\/li>\n\n\n\n
  • The fourth semester contains a total of 6 courses, of which 5 are compulsory and 1 is elective. Of these, 3 courses belong to module M5 and 3 to module M6<\/strong> .<\/li>\n\n\n\n
  • The fifth semester contains a total of 5 courses, all of which are compulsory. Of these, 4 courses belong to module M6 and 1 to module M5<\/strong> .<\/li>\n\n\n\n
  • The sixth semester contains a total of 6 courses, all of which are compulsory. Of these, 5 courses belong to module M6 and 1 to module M7<\/strong> .<\/li>\n\n\n\n
  • The total number of courses in module M5 is 14, with a total of 71 ECTS. The total number of courses in module M6 is 17, with a total of 105 ECTS. The total number of courses in modules M5 and M6 is 31, and together they carry 176 ECTS.<\/li>\n\n\n\n
  • The total number of courses in module M7 is 1, with a total of 4 ECTS.<\/li>\n<\/ul>\n\n\n\n
      \n
    • The study programme has a total of 32 courses - 27 compulsory and 5 elective<\/strong>. The compulsory courses carry a total of 156 ECTS and the elective courses together carry 24 ECTS, so that all courses together with the Bachelor's thesis carry a total of 180 ECTS. Compulsory courses make up 84% and elective courses 16% (minimum 10%).<\/li>\n\n\n\n
    • For the 5 elective courses, 3 lists with a total of 11 elective courses are offered:<\/li>\n<\/ul>\n\n\n\n

      \u2013 from the group of elective general courses<\/strong> , 2 courses are chosen from the 4 offered;<\/p>\n\n\n\n

      \u2013 from elective Group 1<\/strong> , 2 courses are chosen from the 4 offered;<\/p>\n\n\n\n

      \u2013 from elective Group 2<\/strong> 1 course is chosen from the 3 offered;<\/p>\n\n\n\n

      The study programme will be delivered in Macedonian<\/strong>, in accordance with Article 144 of the Law on Higher Education of the Republic of North Macedonia.<\/p>","protected":false},"excerpt":{"rendered":"

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