. "Applied Mathematics"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "Mathematics"@en . . "5" . "Linear and euclidean spaces: linear independence,\nbasis, linear mappings, nullspace and range, matrix\nrepresentation, transitional matrix, rank,\neigenvalues and eigenvectors, scalarproduct, norm,\northogonality, Gram-Schmidt orthogonalisation,\northogonal projection (vector of best\napproximation), Fourier coefficients, least squares method, overdetermined systems, normal system,\nregression line.\nNumerical linear algebra: numerical computation\nand errors, linear systems, matrix decompositions:\nLU, QR, SVD.\nGraph theory: matrix presentation, isomorphism,\npath, cycle, walk, spanning tree, Hamiltonian and\nEulerian cycle, the shortest path problem, weighted\ngraph, algorithms of Kruskal and Dijkstra.\nOrdinary differential equations: linear DE of order n,\nLDE with constant coefficients, linear systems of DE\nof first order, matrix solution of initial problem,\nboundary value problem.\nBasics on partial differential equations: equations of\nmathematical physics, vibrating string, d'Alembert\nsolutions. learning outcomes: basic knowledge and understanding of linear\nalgebra and mathematical analysis\n• mastering of basic computational skills\n• the achieved mathematical knowledge is used\nby the engineering courses\n• mathematics is essential for technical studies\n• ability of abstract formulation of practical\nproblems\n• capability of critical judgement of data and\nobtained numerical results\n• capability of systematical, clear and precise\nformulation of problems\n• ability of reasoning from general to special and\nvice versa\n• skills in using literatur" . . "Presential"@en . "TRUE" . . "Master in Geodesy and Geoinformatics"@en . . "https://www.en.fgg.uni-lj.si/wp-content/uploads/2023/02/1000351_Geodesy_and_geoinformatics_MA_2023-2024.pdf" . "120"^^ . "Presential"@en . "independently solves all kinds of professional and development tasks in the fields of geodesy and geoinformatics\r\nunderstands, applies and develops modern surveying methodologies and technology and is able to upgrade it,\r\nplans, organizes, manages and carries out surveying tasks for the establishment, maintenance and restoration of the basic geodetic reference system,\r\nplans, organizes, executes or leads geodetic works:\r\n– in the land surveying,\r\n– in the construction of all types of buildings or generally in all types of infrastructural development in the physical environment,\r\n– in the procedures of cadastral regulation and registration of real estate,\r\n– in the fields of topography and cartography,\r\n– in the fields of photogrammetry and remote sensing,\r\n– at the establishment, maintenance and upgrading of geographic, cartographic and land information systems\r\nparticipates in the preparation of spatial planning documents and\r\nknows the legal, administrative and economic system, important for the surveyor."@en . . "2"@en . "FALSE" . . . "Master"@en . "Thesis" . "Not informative" . "no data"@en . "Not informative" . "Mandatory" . "no data"@en . "no data" . "FALSE" . "Downstream"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . .