Geodesy and Geoinformatics

The structure of the study program is organized into six semesters

Distribution of courses by semesters and years of the study programme Geodesy and Geoinformatics Geodesy and Geoinformatics

First Year - Winter Semester
No.	Module	Course Code	Course Title	Class Hours	European credits (ECTS)
1	М5 – 1  зад.	GD1-01	Mathematics 1	4+4	8
2	М5 – 2  зад.	GD1-02	Fundamentals of Geodesy	3+4	8
3	М5 – 3  зад.	GD1-03	Computer Applications in Geodesy	2+2	4
4	М5 – 4  зад.	GD1-04	Introduction to WEB Design	2+2	5
5	М5 – 5  изб.	изборен	Elective from general courses	2+2	5
Total:				13+14	30

First Year - Summer semester
No.	Module	Course Code	Course Title	Class Hours	European credits (ECTS)
6	М6 – 1  зад.	GD1-05	Geodesy 1	3+4	8
7	М6 – 2  зад.	GD1-06	Geodetic Foundations	2+3	7
8	М5 – 6  зад.	GD1-07	Introduction to Programming	2+2	5
9	М5 – 7  зад.	GD1-08	CAD -Oriented Software	2+2	5
10	М5 – 8  изб.	изборен	Elective from general courses	2+2	5
Total:				11+13	30

Secound Year - Winter Semester
No.	Module	Course Code	Course Title	Class Hours	European credits (ECTS)
11	М6 – 3  зад.	GD1-09	Theory of Errors	3+4	8
12	М6 – 4  зад.	GD1-10	Geodetic Measurement Technology	2+3	6
13	М6 – 5  зад.	GD1-11	Geodetic Metrology	3+3	6
14	М5 – 9  изб.	изборен	Elective from Group 1	2+2	5
15	М5 – 10  изб.	изборен	Elective from Group 1	2+2	5
Total:				12+14	30

Secound Year - Summer Semester
No.	Module	Course Code	Course Title	Class Hours	European credits (ECTS)
16	М6 – 6  зад.	GD1-12	Geodetic Adjustments	3+3	6
17	М6 – 7  зад.	GD1-13	Cadastre	3+3	6
18	М5 – 11  зад.	GD1-14	General cartography	2+2	4
19	М5 – 12  зад.	GD1-15	Software Packages in Geodesy	2+2	4
20	М5 – 13  изб.	изборен	Elective from Group 2	2+2	4
21	М6 – 8  зад.	GD1-16	Geodetic Practice 1	0+6	6
Total:				12+18	30

Third Year - Winter Semester
No.	Module	Course Code	Course Title	Class Hours	European credits (ECTS)
22	М6 – 9  зад.	GD1-17	Engineering faculty	3+3	8
23	М6 – 10  зад.	GD1-18	Point Cloud Processing	2+2	5
24	М6 – 11  зад.	GD1-19	Ellipsoidal Geodesy	2+2	5
25	М6 – 12  зад.	GD1-20	Geographic Information Systems	3+3	8
26	М5 – 14  зад.	GD1-21	Spatial Planning	2+2	4
Total:				12+12	30

Third Year - Summer Semester
No.	Module	Course Code	Course Title	Class Hours	European credits (ECTS)
27	М6 – 13  зад.	GD1-22	Advanced Geodesy	3+3	6
28	М6 – 14  зад.	GD1-23	Global Positioning Systems	2+2	4
29	М6 – 15  зад.	GD1-24	Fundamentals of Photogrammetry	3+3	6
30	М6 – 16  зад.	GD1-25	Mathematical cartography	3+3	6
31	М6 – 17  зад.	GD1-26	Geodetic Practice 2	0+5	4
32	М7 – 1  зад.	GD1-27	Bachelor's Thesis	0+4	4
Total:				11+20	30

List of elective courses

No.	COURSE	Class Hours	Course Code	кредити
	Elective general courses
1	Theoretical Mechanics	2+2	GD1-28	5
2	Geodetic Regulations	2+2	GD1-29	5
3	Probability and Statistics	2+2	GD1-30	5
4	Spherical Trigonometry	2+2	GD1-31	5
	Elective courses – Group 1
1	Fundamentals of Transport Infrastructure	2+2	GD1-32	5
2	Fundamentals of Hydraulic Engineering	2+2	GD1-33	5
3	Fundamentals of Building Structures	2+2	GD1-34	5
4	Fundamentals of Geomorphology	2+2	GD1-35	5
	Elective courses – Group 2
1	Fundamentals of Real Estate Valuation	2+2	GD1-36	4
2	Databases	2+2	GD1-37	4
3	Geodesy 2	2+2	GD1-38	4

Course prerequisites

1st sem.	Courses	prerequisite
1	Mathematics 1	–
2	Fundamentals of Geodesy	–
3	Computer Applications in Geodesy	–
4	Introduction to WEB Design	–
5	Elective from general courses	–
	Elective general courses	prerequisite
	Theoretical Mechanics	–
	Geodetic Regulations	–
II sem.	Courses	prerequisite
6	Geodesy 1	Fundamentals of Geodesy *
7	Geodetic Foundations	–
8	Introduction to Programming	–
9	CAD -Oriented Software	–
10	Elective from general courses	–
	Elective general courses	prerequisite
	Probability and Statistics	–
	Spherical Trigonometry	–
III sem.	Courses	prerequisite
11	Theory of Errors	Mathematics 1
12	Geodetic Measurement Technology	Geodesy 1
13	Geodetic Metrology	Geodesy 1
14	Elective from Group 1	Geodetic Foundations
15	Elective from Group 1	Geodetic Foundations
	Elective courses – Group 1	prerequisite
	Fundamentals of Transport Infrastructure	Geodetic Foundations
	Fundamentals of Hydraulic Engineering	Geodetic Foundations
	Fundamentals of Building Structures	Geodetic Foundations
	Fundamentals of Geomorphology	Geodetic Foundations

IV sem.	Courses	prerequisite
16	Geodetic Adjustments	Theory of Errors *
17	Cadastre	Geodetic Foundations
18	General cartography	–
19	Software Packages in Geodesy	Introduction to Programming
20	Elective from Group 2	Geodesy 1
21	Geodetic Practice 1	Geodesy 1
	Elective courses – Group 2	prerequisite
	Fundamentals of Real Estate Valuation	Geodesy 1
	Databases	Geodesy 1
	Geodesy 2	Geodesy 1
V sem.	Courses	prerequisite
22	Engineering faculty	Geodetic Metrology
23	Point Cloud Processing	–
24	Ellipsoidal Geodesy	Математика 1, Геодезија 1
25	Geographic Information Systems	Геодетски подлоги, Вовед во програмирање
26	Spatial Planning	Cadastre
VI sem.	Courses	prerequisite
27	Advanced Geodesy	Theory of Errors Geodetic Metrology
28	Global Positioning Systems	Математика 1, Геодетска мерна технологија
29	Fundamentals of Photogrammetry	–
30	Mathematical cartography	Mathematics 1
31	Geodetic Practice 2	Геодетска пракса 1, Виша геодезија *, Инженерска геодезија *
32	Bachelor's Thesis	Положени сите предвидени предмети и стекнати 140 ЕКТС

* – The condition for attending courses that depend on other courses in the same study year is obtaining the signature (course attendance certification).

The structure of the study programme is modular, with the following assumed modules:

Module M5 – Advanced level of fundamental knowledge

Module M6 – Advanced level of specific knowledge

Module M7 – Bachelor's Thesis

The distribution of the course programmes, given in Table 6.1, is:

• 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. . .
• 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 .
• 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 .
• 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 .
• 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 .
• 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 .
• 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.
• The total number of courses in module M7 is 1, with a total of 4 ECTS.

• The study programme has a total of 32 courses - 27 compulsory and 5 elective. 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%).
• For the 5 elective courses, 3 lists with a total of 11 elective courses are offered:

– from the group of elective general courses , 2 courses are chosen from the 4 offered;

– from elective Group 1 , 2 courses are chosen from the 4 offered;

– from elective Group 2 1 course is chosen from the 3 offered;

The study programme will be delivered in Macedonian, in accordance with Article 144 of the Law on Higher Education of the Republic of North Macedonia.