. "Geographic Information Science"@en . . "Remote Sensing"@en . . "Environmental sciences"@en . . "English"@en . . "Mathematical analysis"@en . . "5" . "Understanding the key topics and problems of Mathematical Analysis. Also it is necessary to develop many skills between abstract entities according to certain rules and apply it into Geodesy. Demonstrate competences in theoretical principles, procedures of computing and visualising the surveying data.\nUnderstand mathematical methods and physical laws applied in geodesy and geoinformatics.\nApply knowledge of mathematics and physics for the purpose of recognizing, formulating and solving of problems in the field of geodesy and geoinformatics.\nExercise appropriate judgements on the basis of performed calculation processing and interpretation of data obtained by means of surveying and its results.\nTake responsibility for continuing academic development in the field of geodesy and geoinformatics, or related disciplines,and for the development of interest in lifelong learning and further professional education. \n -Define and implement the tasks terms of mathematical logic, sets, sets of numbers and mathematical induction\n- Define, analyze and relate the concepts and properties of real functions of a real variable, as well as terms related to a sequences (limit of a sequence, limit of a function) \n - Define and apply the concepts tasks derivatives, indefinite and definite integrals\n- Define and apply the concepts tasks series of numbers, functional series and power series, as a Taylor series expansion and Mac Lauren series\n- Define, analyze and apply the tasks terms of functions of several variables, as well as Taylor and Maclaurin series for two variables, and to determine the extreme values of functions of two variables\n- Define the term and solve differential equations method of separation of variables" . . "Presential"@en . "TRUE" . . "Analytical geometry and linear algebra"@en . . "5" . "not provided" . . "Presential"@en . "TRUE" . . "Physics"@en . . "5" . "Understand and apply the basic laws of geometrical optics, mechanics, oscillatory motion and waves, as well as electromagnetism. Understand mathematical methods and physical laws applied in geodesy and geoinformatics.\n Apply knowledge of mathematics and physics for the purpose of recognizing, formulating and solving of problems in the field of geodesy and geoinformatics.\n Exercise appropriate judgments on the basis of performed calculation processing and interpretation of data obtained by means of surveying and its results.\nTake responsibility for continuing academic development in the field of geodesy and geoinformatics, or related disciplines,and for the development of interest in lifelong learning and further professional education. 1. Derive and apply the equations of geometrical optics.\n2. Describe the motion by vectors of position, velocity and acceleration.\n3. Apply Newton's laws of motion.\n4. Describe the motion of the gyroscopes.\n5. Derive and apply the Kepler's laws.\n6. Derive the general expression for the gravitational potential energy and define the potential and equipotential surface.\n7. Describe and compare the simple and physical pendulum.\n8. Describe the harmonic waves.\n9. Describe the electric field, electric potential difference, and electric current; describe the magnetic field of a current loop.\n10. Describe the electromagnetic induction" . . "Presential"@en . "TRUE" . . "Basics of geoinformatics"@en . . "5" . "Development of the ability to recognize, identify and understand the spatial and spatio-temporal components of the reality.\nUnderstand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuring systems, methods and technologies of measurement and spatial data collection.\nDetermine and interpret the size, properties and relations of objects in space on the basis of measured data, spatial databases, plans and maps.\nRecognise problems and tasks in the application of geodetic and geoinformation principles and methods, and select proper procedures for their solution.\nKeep pace with and adopt new technological achievements in the field of surveying, geoinformation systems and services based on the position, and the changes in regulations, norms and standards. 1. Formulate the basic concepts and definitions about the space, time, space-time and reality.\n2. Explain the process of creating a model using the perceived reality, the conceptual data model and specifications (perception of reality).\n3. Explain the concept of abstract universe and discern and share the reality of the elements (entities).\n4. Describe and explain various forms of representations of the basic entities of reality.\n5. Describe the different views of spatial phenomena and connect the similarities and differences of space and time.\n6. Define the representation scale of geospace and explain its importance.\n7. Explain and describe the coordinate systems and the location of objects using an attribute.\n8. Distinguish and compare different types of maps.\n9. Explain the view of geospace based on location, object and time.\n10. Distinguish between absolute and relative spatial relationships and explain the basic idea of topological relations" . . "Presential"@en . "TRUE" . . "Geodetic instruments"@en . . "5" . "Acquiring knowledge about the physical basis of geodetic instruments and practical knowledge about the instrument for measuring angles, height differences, distances and position of the points and knowledge of the methods testing and control of geodetic instruments.\nUnderstand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuring systems, methods and technologies of measurement and spatial data collection.\nApply knowledge of mathematics and physics for the purpose of recognizing, formulating and solving of problems in the field of geodesy and geoinformatics.\nHandle geodetic instruments and appropriate measuring equipment properly, and perform geodetic measurements.\nSolve practical tasks in surveying, spatial data collection, real estate evaluation and management.\nKeep pace with and adopt new technological achievements in the field of surveying, geoinformation systems and services based on the position, and the changes in regulations, norms and standards. \n1. Define the terms: measurement, units of measurement, basic geodetic measurement variables.\n2. Explain concepts: accuracy, correctness, precision, error and deviation. \n3. Knowing the nature and properties of light in the context of the law of reflection (rejection) and refraction (fracture) light and explain the refractive index of light.\n4. Differentiate and explain the properties of mirrors, prisms, plane parallel plate, optical wedge, lens, telephoto lens and other optical elements and systems.\n5. Introduction to the structure of the eye as part of the optical system.\n6. Explain theodolite, level and devices for measuring length - division, purpose, structure, components,operating conditions, testing and rectification of the mistake that affect the measurement.\n7. Measure the angles, height difference and length by different methods and measurement procedures.\n8. Explain instruments for determining the position of points (coordinates) - division, purpose, structure, parts and errors that affect the determination of coordinates.\n9. Apply automate measurements and communication between the geodetic instruments and computers" . . "Presential"@en . "TRUE" . . "Engineering graphics in geodesy and geoinfromatics"@en . . "5" . "The aim of the course is to provide basic theoretical and practical knowledge in the field of computational geometry and graphics with emphasis on application in engineering sciences, especially in Geodesy and Geoinformatics. Through practical exercises the most popular software is used. \nDemonstrate competences in theoretical principles, procedures of computing and visualising the surveying data.\nPrepare geodetic documents needed to establish and maintain cadastral records and land registry, as well as the documents for engineering works.\nMake plans, maps and related presentations using modern methods and technologies on the basis of measured data and other sources. \nDistinguish between raster and vector graphics, concepts of computer-aided shaping (CAD) and GIS (GIS) and color systems in computer graphics.\nDevelop a vector drawing by default template, edit the raster image in the geometric and radiometric sense and create a two dimensional drawing and surfaces in CAD-in and load data in geographic information systems (GIS).\nDistinguish file formats for raster and vector graphics, computer aided design (CAD) and geographic information systems (GIS).\nGeometric and topological transform raster and vector data.\nSpecify the scale drawings and print-to-scale drawing in the paper.\nCreate and analyse surfaces, volumes and profiles in programs for CAD and / or GIS." . . "Presential"@en . "TRUE" . . "Physical education"@en . . "5" . "not provided" . . "Presential"@en . "FALSE" . . "Engineering informatics"@en . . "2" . "Adoption of the basic theoretical and practical knowledge in informatics through three basic parts: hardware, software and experts needed to easily learn the task during the study and application of the engineering profession. Through preparation\nand presentation of modern informatic topics, students are actively involved in expanding and upgrading their IT skills. Through practical tasks students learn the rules of desirable behavior in the Internet community, correct electronic\ncommunication and behavior on social networks. Understand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuring systems, methods and technologies of measurement and spatial data collection. \nUse information technology in solving geodetic and geoinformation tasks.\nCommunicate the results obtained by means of geodesy and geoinformation to clients and experts of geodetic and other related professions.\nKeep pace with and adopt new technological achievements in the field of surveying, geoinformation systems and services based on the position, and the changes in regulations, norms and standards. \nDistinguish, describe and define the physical components of a computer (hardware), software and operating system (software) and user segment and their interconnection.\nUse modern operating systems, office tools, e-mail and the Internet.\nExplain the division of computer networks, technology connectivity and protocol for communication over computer networks.\nThe ability to decent communication via the Internet (for example, correctly write an e-mail).\nRecognize the dangers of the Internet and apply adequate protective measures, and identify the reasons of data protection on the Internet.\nDescribe the role of open and commercial information systems and applications, and to explain their role and communication technologies in geodesy and geoinformatics." . . "Presential"@en . "FALSE" . . "Introduction to geodesy"@en . . "2" . "The aim of the course is to teach students about the surveying and Faculty of Geodesy. Preparing students for studying at the Faculty of Geodesy, in a way to get acquainted with the organization of the faculty. Students are introduced to the\norganization of the Republic of Croatia. Students will master the basic concepts of geodesy, ie. they must be familiar with the basic theories of measurements and uncertainties that may arise, coordinate systems, geodetic basis and geoinformation systems. -Understand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuring\nsystems, methods and technologies of measurement and spatial data collection.\n- Demonstrate competences in theoretical principles, procedures of computing and visualising the surveying data.\n- Demonstrate competences in regulations and administrative framework important for geodesy and geoinformatics, the regulations related to copy right, publishing and exchange of spatial data.\n- Understand mathematical methods and physical laws applied in geodesy and geoinformatics- Understand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuringsystems, methods and technologies of measurement and spatial data collection.\n- Demonstrate competences in theoretical principles, procedures of computing and visualising the surveying data.\n- Demonstrate competences in regulations and administrative framework important for geodesy and geoinformatics, the\nregulations related to copy right, publishing and exchange of spatial data.\n- Understand mathematical methods and physical laws applied in geodesy and geoinformatics" . . "Presential"@en . "FALSE" . . "Mathematics on computers"@en . . "1" . "The objectives of this course are\n- acquire the skills of independent use of mathematical software system (e.g. free open source Sage or similar) for tasks that require symbolic and/or numerical computation\n- solving of problems in the computer laboratory to support the teaching of mathematical courses (Analytic geometry and linear algebra and Mathematical Analysis). \nAt the program level, the course contributes to the following learning outcomes:\n- To use information technology in solving geodetic and geoinformation tasks.\n-To make conclusions on the basis of performed computational processing and interpretation of surveying data and obtained results.\n-To understand the mathematical methods and physical laws applied in geodesy and geoinformatics.\n-To apply the knowledge in mathematics and physics for the purpose of recognizing, formulating and solving problems in the field of geodesy and geoinformatics. \n -Use of a mathematical software system for solving equations and inequalities.\n-Use of a mathematical software system for computing with vectors.\n-Use of a mathematical software system for computing with matrices \n -Use of a mathematical software system for visualizing linear operator in plane and space.\n-Use of a mathematical software system for determining the eigenvalues and eigenvectors.\n-Use of a mathematical software system for determining the limits.\n-Use of a mathematical software system for symbolic and numerical deriving and integrating.\n-Use of a mathematical software system for testing properties and graphing functions of one two variables.\n-Using a mathematical programming system for drawing 2D and 3D graphs." . . "Presential"@en . "FALSE" . . "Open geoinformation"@en . . "2" . "not provided" . . "Presential"@en . "FALSE" . . "Computer geometry"@en . . "5" . "The goal of course Computational geometry is the renewal and replenishment secondary education of geometry, using the dynamic geometry (Geometer's Sketchpad 5.03HR) as a tool for drawing / design, with particular emphasis on applications in geodesy and geoinformatics. \n- To know theoretical principals, procedures of computer processing and visualisation of surveying data.\n- To understand the mathematical methods and physical laws applied in geodesy and geoinformatics.\n- To apply the knowledge in mathematics and physics for the purpose of recognizing, formulating and solving problems in the field of geodesy and geoinformatics,\n- To use information technology in solving geodetic and geoinformation tasks.\n- To plan the continuation of academic education in the field of geodesy and geoinformatics, or related disciplines,and to develop the lifelong learning attitude." . . "Presential"@en . "TRUE" . . "Programming"@en . . "5" . "To adopt the basic concepts of programming and the ability to design simple programs in the programming language Java for\nsolving mathematical, geodetic and geoinformatics problems.\n-Use information technology in solving geodetic and geoinformation tasks.\n-Recognise problems and tasks in the application of geodetic and geoinformation principles and methods, and select proper procedures for their solution.\n-Communicate the results obtained by means of geodesy and geoinformation to clients and experts of geodetic and other related professions.\n-Keep pace with and adopt new technological achievements in the field of surveying," . . "Presential"@en . "TRUE" . . "Land surveying"@en . . "5" . "The objective of the course is to provide teoretical and practical knowledge and skills in land surveying as a fundamental geodetic activity. -Understand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuring systems, methods and technologies of measurement and spatial data collection\n-Demonstrate competences in theoretical principles, procedures of computing and visualising the surveying data\n-Handle geodetic instruments and appropriate measuring equipment properly, and perform geodetic measurements\n-Solve practical tasks in surveying, spatial data collection, real estate evaluation and management\n-Establish geodetic networks needed in surveying and stakeout in order to provide the required quality of the works performedin certain space" . . "Presential"@en . "TRUE" . . "Field measurements"@en . . "5" . "Acquire knowledge and skills in the organization of field work, the basis of the theory of measurement and computation in plane geodesy. Reconnaissance of the terrain, performing field measurements and processing of measurement data. \n-Understand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuring systems, methods and technologies of measurement and spatial data collection.\n-Demonstrate competences in theoretical principles, procedures of computing and visualising the surveying data.\n-Handle geodetic instruments and appropriate measuring equipment properly, and perform geodetic measurements.\n-Solve practical tasks in surveying, spatial data collection, real estate evaluation and management." . . "Presential"@en . "TRUE" . . "Vector analysis"@en . . "3" . "Understanding the key topics and problems of Vector Analysis. Also it is necessary to develop many skills between abstract entities according to certain rules and apply it into Geodesy. \n-Demonstrate competences in theoretical principles, procedures of computing and visualising the surveying data.\n-Understand mathematical methods and physical laws applied in geodesy and geoinformatics.\n-Apply knowledge of mathematics and physics for the purpose of recognizing, formulating and solving of problems in the field of geodesy and geoinformatics.\n-Exercise appropriate judgements on the basis of performed calculation processing and interpretation of data obtained by means of surveying and its results.\n-Take responsibility for continuing academic development in the field of geodesy and geoinformatics, or related disciplines,\nand for the development of interest in lifelong learning and further professional education. \n1) Define and implement the tasks of the term of the vector functions of one scalar variable\n2) Define and apply the concepts of tasks: line integral of the first and the second kind and their properties; determine the relationship between line integral of the first and the second kind, and define and apply Green formula\n3) Define and apply the concepts of tasks: double and triple integrals and their applications, with the introduction of the Jacobian for cylindrical and spherical coordinates \n 4) Define and apply the concepts of tasks: surface integrals and vector surface integrals. Describe the flux of a vector field through a surface\n5) Define and apply the concepts of tasks: scalar and vector fields and directional derivatives\n6) Telling the Green-Gauss-Ostrogradski theorem and Stokes' theorem and applying to the tasks" . . "Presential"@en . "TRUE" . . "Basics of statistics"@en . . "4" . "The objectives of this course are:\r\n-acquire the skills of collecting, classification and organization of data, their analysis and graphical presentation using\r\nappropriate computer programs (Excel, Statistica,..) as a tool in solving various statistical tasks that appear in geodesy\r\nand geoinformatics\r\n-help students to overcome more easily the other courses that follow, particularly analysis and processing of geodetic\r\nmeasurements\r\n- Demonstrate competences in theoretical principles, procedures of computing and visualising the surveying data.\r\n- Understand mathematical methods and physical laws applied -----Apply knowledge of mathematics and physics for the purpose of recognizing, formulating and solving of problems in\r\nthe field of geodesy and geoinformatics.\r\n-Use information technology in solving geodetic and geoinformation tasks -Recognise problems and tasks in the application of geodetic and geoinformation principles and methods, and select\r\nproper procedures for their solution.\r\n-Be able to collect data and their presentation in the form of tables or graphs\r\n-Define mean and dispersion measures\r\n-Define basic terms in the probability theory Define discrete and continuous random variables and their distributions\r\n-Define and apply statistical tests -- Define regresion analysis, covariance and correlation\r\n-Be able to apply methods of interpolation in geodesy and geoinformatics\r\n- Be able to apply methods of appoximation in geodesy and geoinformatics" . . "Presential"@en . "TRUE" . . "Basics of english for special purposes"@en . . "3" . "Development of communication skills in professional context using specific professional English language Knowledge of English acquired in primary and secondary education Understand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuring systems, methods and technologies of measurement and spatial data collection.\nDemonstrate competences in regulations and administrative framework important for geodesy and geoinformatics, the regulations related to copy right, publishing and exchange of spatial data.\nKeep pace with and adopt new technological achievements in the field of surveying, geoinformation systems and services based on the position, and the changes in regulations, norms and standards. \nTake responsibility for continuing academic development in the field of geodesy and geoinformatics, or related disciplines, and for the development of interest in lifelong learning and further professional education." . . "Presential"@en . "FALSE" . . "Mathematical laboratory for engineers"@en . . "1" . "The objectives of this course are\n- acquire the skills of independent use of mathematical software system (e.g. free open source Sage or similar) for tasks that require symbolic and/or numerical computation\n- solving of problems in the computer laboratory to support the teaching of mathematical courses (Vector Analysis and Differential Geometry). At the program level, the course contributes to the following learning outcomes:\n-To use information technology in solving geodetic and geoinformation tasks.\n- To make conclusions on the basis of performed computational processing and interpretation of surveying data and obtained results.\n- To understand the mathematical methods and physical laws applied in geodesy and geoinformatics.\n-To apply the knowledge in mathematics and physics for the purpose of recognizing, formulating and solving problems in the field of geodesy and geoinformatics. -Use of a mathematical software system for calculating partial derivatives, Jacobi and Hesse matrix.\n- Use of a mathematical software system for plotting vector functions.\n-Use of a mathematical software system for calculating the gradient, divergence and directed derivatives.\n- Use of a mathematical software system for the computation of multiple integrals." . . "Presential"@en . "FALSE" . . "Spherical trigonometry"@en . . "3" . "Τhe goal of course Spherical trigonometry is the renewal and replenishment secondary knowledge of trigonometry plane on the theoretical and practical knowledge of trigonometry spheres with particular emphasis on applications in geodesy and\r\ngeoinformatics. \r\n Κnowledge of secondary school mathematics ( trigonometry) programs \r\n To know theoretical principals, procedures of computer processing and visualisation of surveying data.\r\n- To understand the mathematical methods and physical laws applied in geodesy and geoinformatics. To apply the knowledge in mathematics and physics for the purpose of recognizing, formulating and solving\r\nproblems in the field of geodesy and geoinformatics. \r\n To plan the continuation of academic education in the field of geodesy and geoinformatics, or related disciplines, and to develop the lifelong learning attitude. --Define and distinguish spherical triangles\r\n- Solve the spherical triangle using the cosine rule for pages / corners and\r\n- Solve rectangular and quadrant spherical triangle\r\n- Apply Legend theorem for solving spherical triangles 1. Sphere (sphere), main circle. spherical distance\r\n2. Spherical Triangle\r\n3. Spherical triangle inequality. Spherical excesses\r\n4. Gender. Spherical polar triangle.\r\n5. The basic relationships between the spherical triangle.\r\n6. Cosine rule (for pages, angles) spherical triangle.\r\n7. Sine theorem.\r\n8. 1 and 2 theorem of cotangent\r\n9. Napier's rule\r\n10. Troubleshooting spherical triangle with applications in geodesy and geoinformatics\r\n11. Rectangular spherical triangle. Euler's theorem,\r\n12. Resolving rectangular spherical triangle.\r\n13. The difference between flat and spherical trigonometry.\r\n14. Geographic (astronomical) coordinates. Spherical distance between two points on the earth (sphere)\r\n15. Application of spherical trigonometry in geosciences" . . "Presential"@en . "FALSE" . . "Transformation of coordinates"@en . . "3" . "Adoption of theoretical knowledge and empirical skills in analysis and processing of geodetic measurements.\nActive empirical application of knowledge from analysis and processing of geodetic measurements in solving surveying tasks based on geodetic measurements data. \nDemonstrate competences in theoretical principles, procedures of computing and visualising the surveying \nUse information technology in solving geodetic and geoinformation tasks. Exercise appropriate judgements on the basis of performed calculation processing and interpretation of data obtained by means of surveying and its results.\nRecognise problems and tasks in the application of geodetic and geoinformation principles and methods, and select proper procedures for their solution. \nCommunicate the results obtained by means of geodesy and geoinformation to clients and experts of geodetic and other related professions Explain the basic principles, concepts, methods and procedures for analysis and processing of mutually independent geodetic measurements.\nUse appropriate technical terminology related to the analysis and processing of geodetic measurements.\nUnderstand the laws of theory of errors, mathematical statistics and probability theory in the analysis and processing of geodetic measurement errors.\nApply different criteria to assess the quality of geodetic measurements (precision, accuracy, reliability) and the criteria for evaluating the accuracy of mutually independent geodetic measurements.\nApply the laws of variances propagation, weights propagation and cofactors propagation in the case of one or more functions of geodetic measurements.\nApply adjustment of direct measurements in the three characteristic cases: classical direct measurements, multipe measured vectors and doube measurements.\nApply adjustment of indirect measurements in the forms of regular and singular adjustment.\nApply adjustment of conditional measurement.\nDevelop standardized geodetic elaborates depicting the results of analysis and processing of geodetic measurements.\nPlan processing of geodetic measurements from the viewpoint of the volume and types of measurements, the use of appropriate mathematical model of measurement, the application of appropriate technological tools for the realization of processing and to optimize performance." . . "Presential"@en . "FALSE" . . "Information society"@en . . "3" . "The course aims to help students of technical science to understand fundamentals of Information and Informational Society by learning from practical examples. The course aims to connect students and their future employers immediately – through the process of teaching. \nUnderstand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuring systems, methods and technologies of measurement and spatial data collection.\nDemonstrate competences in real estate registers and interests in real estates, understand land development measures and methods of land evaluation.\nDemonstrate competences in regulations and administrative framework important for geodesy and geoinformatics, the regulations related to copy right, publishing and exchange of spatial data.\nUse information technology in solving geodetic and geoinformation tasks.\nCommunicate the results obtained by means of geodesy and geoinformation to clients and experts of geodetic and other related professions.\nKeep pace with and adopt new technological achievements in the field of surveying, geoinformation systems and services based on the position, and the changes in regulations, norms and standards." . . "Presential"@en . "TRUE" . . "Analysis and processing of geodetic measurements"@en . . "5" . "Adoption of theoretical knowledge and empirical skills in analysis and processing of geodetic measurements.\nActive empirical application of knowledge from analysis and processing of geodetic measurements in solving surveying tasks based on geodetic measurements data. \nDemonstrate competences in theoretical principles, procedures of computing and visualising the surveying \nUse information technology in solving geodetic and geoinformation tasks. \nExercise appropriate judgements on the basis of performed calculation processing and interpretation of data obtained by means of surveying and its results.\nRecognise problems and tasks in the application of geodetic and geoinformation principles and methods, and select proper procedures for their solution. \nCommunicate the results obtained by means of geodesy and geoinformation to clients and experts of geodetic and other related professions Explain the basic principles, concepts, methods and procedures for analysis and processing of mutually independent geodetic measurements.\nUse appropriate technical terminology related to the analysis and processing of geodetic measurements.\nUnderstand the laws of theory of errors, mathematical statistics and probability theory in the analysis and processing of geodetic measurement errors.\nApply different criteria to assess the quality of geodetic measurements (precision, accuracy, reliability) and the criteria for evaluating the accuracy of mutually independent geodetic measurements.\nApply the laws of variances propagation, weights propagation and cofactors propagation in the case of one or more functions of geodetic measurements.\nApply adjustment of direct measurements in the three characteristic cases: classical direct measurements, multipe measured vectors and doube measurements.\nApply adjustment of indirect measurements in the forms of regular and singular adjustment.\nApply adjustment of conditional measurement.\nDevelop standardized geodetic elaborates depicting the results of analysis and processing of geodetic measurements.\nPlan processing of geodetic measurements from the viewpoint of the volume and types of measurements, the use of appropriate mathematical model of measurement, the application of appropriate technological tools for the realization of processing and to optimize performance." . . "Presential"@en . "TRUE" . . "Databases"@en . . "5" . "Students will acquire theoretical background and practical usage of contemporary databases in context of geodesy and geoinformatics.Maintain topographic, cartographic, maritime and navigation, and land information systems, integrate and visualise spatial information.\nUse information technology in solving geodetic and geoinformation tasks.\nRecognise problems and tasks in the application of geodetic and geoinformation principles and methods, and select proper procedures for their solution.\nKeep pace with and adopt new technological achievements in the field of surveying, geoinformation systems and services based on the position, and the changes in regulations, norms and standards define basic database concepts, differentiate relational. object, object-relational and deductive database. \napply entity-relationship model on a concrete problem in fields of geodesy and geoinformatics,\ncrate a database relational schema using the normal forms, explain database indexing,\nsolve practical problems using SQL commands and functions." . . "Presential"@en . "TRUE" . . "Differential geometry"@en . . "5" . "To recognize the mathematical and numerical skills acquired within the theory of curves and surfaces in the field of study.\nTo use the mathematical and numerical skills acquired within the theory of curves and surfaces for solving problems in the field of study. Understand mathematical methods and physical laws applied in geodesy and geoinformatics.\n-Apply knowledge of mathematics and physics for the purpose of recognizing, formulating and solving of problems in the field of geodesy and geoinformatics.\n- Use information technology in solving geodetic and geoinformation tasks\n-Exercise appropriate judgements on the basis of performed calculation processing and interpretation of data obtained by means of surveying and its results.\n-Take responsibility for continuing academic development in the field of geodesy and geoinformatics, or related disciplines, and for the development of interest in lifelong learning and further identify various forms of curve equations, calculate arc length, curvature and determine the associated vector fields;\nIdentify and differentiate between types of second order surfaces; -analyze the second order surfaces with emphasis on the sphere and the ellipsoid of revolution: determine the parameter curves, the tangent plane and the normal vector to the surface;\n-determine the first fundamental form of the surface and use it to calculate arc length, surface area and angle between two curves on a surface;\n-determine the second fundamental form of the surface and use it for classifying points on the surface, calculating the normal, principal, Gaussian and mean curvature of the surface;\n- detect some special curves on surfaces (lines of curvature, asymptotic lines);\n-define the concept of the geodesic curvature along a curve on a surfaces and the term geodesic; calculate the geodesic curvature of parameter curves in order to identify whether it is a matter of geodesic coordinates;\n- pronounce the Theorema Egregium of Gauss;\n-distinguish and name types of mappings of surfaces according to the mapping invariants;\n-use a variety of tools for visualizing and solving problems related to the theory" . . "Presential"@en . "TRUE" . . "Geodetic plans"@en . . "5" . "The objective of the course is to provide teoretical and practical knowledge and skills in geodetic plans, cadastral maps, topographical maps and digital geodtic plans. \nDemonstrate competences in theoretical principles, procedures of computing and visualising the surveying data\nPrepare geodetic documents needed to establish and maintain cadastral records and land registry, as well as the documents for engineering works\nMake plans, maps and related presentations using modern methods and technologies on the basis of measured data and other sources\nDetermine and interpret the size, properties and relations of objects in space on the basis of measured data, spatial databases, plans and maps\nPrepare official public documents, reports, graphic and cartographic presentations using the surveying results related to objects in space Distinguish analogue plans with regard to scale, projection and their quality\nExplain the causes of the different cadastral maps in the Republic of Croatia and the consequences of that\nCraete a cadastral map and calculate the area of cadastral parcels by different methods\nClarify what affects the accuracy of the surfaces on the (analog) cadastral maps\nDescribe how relief is represented on geodtic plans and what influence the accuracy of it \nCreate and interpret height (altitude) representation of terrain\nDistinguish digital cadastral maps made by different methods\nExplain the rules of presentation of geodetic plans available throug" . . "Presential"@en . "TRUE" . . "Principles of land rigister law"@en . . "2" . "Learn the basics of the legal system. Gaining knowledge of the basics of real rights. Acquisition of theoretical and practical knowledge on the concept, functions and composition of the land registry with an independent ability to search land registry.\nKnowing types of entries and terms for land registration entries. \nDemonstrate competences in real estate registers and interests in real estates, understand land development measures and methods of land evaluation.\nDemonstrate competences in regulations and administrative framework important for geodesy and geoinformatics, the regulations related to copy right, publishing and exchange of spatial data.\nTake responsibility for continuing academic development in the field of geodesy and geoinformatics or related disciplines, and for the development of interest in lifelong learning and further professional education. \nAfter successfully mastering the course students will be able to:\n- Explain the basics of the Croatian legal system, especially the position of the rights on land under civil law,\n- Define and explain the concept of ownership and limited real rights (easements, real burdens, right to build and lien),\n- Define and explain the concept of land registry and cadastre as well as their connection, \n -Explain the composition of the land register,\n- Enumerate and explain the types of land registration entries,\n- Explain the basics of the land law proceedings,\n- Enumerate and define specific land registration procedures,\n- Define and explain the basics of the establishment, amendment, renewal and conversion of the land" . . "Presential"@en . "TRUE" . . "Business communication"@en . . "3" . "The course aims to improve our students’ communication skills both in relation to their colleagues and the members of the general public. The students are given an opportunity to learn the basic principles and practice of communication at work in geodetic company and institution. The course is also aimed at future engineers who want to make sense of communication in their everyday working lives i.e. to help in running a small business, to improve their efficiency at work, or to make the administrative side of their job easier and clearer. \nUnderstand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuring systems, methods and technologies of measurement and spatial data collection.\nDemonstrate competences in real estate registers and interests in real estates, understand land development measures and methods of land evaluation.\nDemonstrate competences in regulations and administrative framework important for geodesy and geoinformatics, the regulations related to copy right, publishing and exchange of spatial data. Use information technology in solving geodetic and geoinformation tasks.\nCommunicate the results obtained by means of geodesy and geoinformation to clients and experts of geodetic and other related professions.\nKeep pace with and adopt new technological achievements in the field of surveying, geoinformation systems and services based on the position, and the changes in regulations, norms and standards.\nTake responsibility for continuing academic development in the field of geodesy and geoinformatics, or related disciplines, and for the development of interest in lifelong learning and further professional education" . . "Presential"@en . "FALSE" . . "English in geodesy"@en . . "3" . "no data" . . "Presential"@en . "FALSE" . . "Object oriented modelling and programming"@en . . "3" . "Acquiring knowledge and skills necessary to solve problems in Geodesy and Geoinformatics using object oriented modeling and programming. \n1. Distinguish between the object oriented modeling and programming.\n2. Describe the UML. Define the components and process of design using UML.\n3. Design UML diagrams for solving geodetic and geoinformatics problems.\n4. Apply the methodology of object oriented programming." . . "Presential"@en . "FALSE" . . "Professional practice"@en . . "3" . "To enable students, by work in business subject which is engaged in geodetic-geoinformatic activities, to implement in practice acquired knowledges and skills and familiarize themselve with functioning and organization of business subject. Professional practice should enable linking the theoretical knowledges and skills in real environment in which business subjects are acting. To enable students understanding and perception of professional substance received ex catedra during the study as introduction for list of professional courses \n Learning outcomes \n1. Solve practical tasks in surveying, spatial data collection, real estate evaluation and management. \n2. Use information technology in solving geodetic and geoinformation tasks.\n3. Make plans, maps and related presentations using modern methods and technologies on the basis of measured data\nand other sources.\n4. Recognise problems and tasks in the application of geodetic and geoinformation principles and methods, and select\nproper procedures for their solution." . . "Presential"@en . "FALSE" . . "Space visualization"@en . . "3" . "The aim of the course is to develop students' space ability, creative thinking and solving spatial problems of geodetic profession with the use of construction methods of descriptive geometry. \n- To define, to differentiate and to apply the central / parallel projection,\n- To draw/ to construct an accurate representation/drawing of any geometric figures (two-dimensional or threedimensional) by the use of a projection methods (axonometric, perspective),\n- To analyze and to explain the interrelations of geometric figures and metric properties in the plane or space, \n To draw/ to construct orthogonal axonometric of sphere and on in it a point given with its geographic coordinates,\n- To apply the method of the quoted projections in presentations of the fields,\n- To construct a perspective image of geometric figures given by its projections,\n- To construct thrown shadows of simple and complex geometric figures." . . "Presential"@en . "FALSE" . . "Cartography"@en . . "5" . "The acquisition of basic knowledge of cartography, its development and methods of producing maps, cartographic visualization and generalization with an emphasis on achieving the ability to distinguish objects viewed at different cartographic representations and the application of the elements of cartography in order to develop simple maps and map related representations. \n Understand the role of geodesy, geoinformatics and spatial data in modern world, demonstrate competences in measuring systems, methods and technologies of measurement and spatial data collection.\nDemonstrate competences in theoretical principles, procedures of computing and visualising the surveying data.\nMake plans, maps and related presentations using modern methods and technologies on the basis of measured data and other sources.\nDetermine and interpret the size, properties and relations of objects in space on the basis of measured data, spatial databases, plans and maps.\nExercise appropriate judgements on the basis of performed calculation processing and interpretation of data obtained by means of surveying and its results.\nPrepare official public documents, reports, graphic and cartographic presentations using the surveying results related to objects in space \n Explain cartography and its tasks, the development of cartography and cartography division,\n- Allocate objects display and object names (toponyms) on different representations,\n- Compare the types of cartographic distinction between their properties, elements, scale, size, etc.,\n- Set aside the originals for development of cartographic representations,\n- Explain the map graphics and use elements of cartography,\n- Explain the cartographic generalization, factors and basic procedures of cartographic generalization,\n- Create a cartographic representation of the implementation of all procedures necessary for its development,\n- Create a set of data (metadata) required for use of cartographic representation,\n- Recommend the use of methods and ways of maintaining cartographic representations,\n- Compare the modern official and unofficial map products in the Republic of Croatia." . . "Presential"@en . "TRUE" . . "Geodetic reference frames"@en . . "5" . "Adopting theoretical and practical knowledge in the field of geodetic reference systems and frames and their importance for the state survey and the basic geodetic works at the state level. \nStudents will:\n- Define basic concepts related to the coordinate reference systems and frames,\n- Analyze the physical and mathematical characteristics of reference system with respect to the fundamental parameters in respect to which it defines as well as the essential role of the reference frames in positioning, navigation and orientation of objects in space,\n- Analyze measurement techniques and classify the differences between spatial, terrestrial and local (instrument fixed) reference frame,\n- Analyze the old and the new official coordinate system, reference system and reference frame of Croatia, as well as old and new official height systems of Croatia, and adopt necessary knowledge about the relationship between HTRS96, ETRF89 and ITRFYY reference frames,\n- Acquire knowledge and mathematical procedures to solve practical problems of numerical transformation and conversion of coordinates and time coordinate transformation." . . "Presential"@en . "TRUE" . . "Cadastre"@en . . "5" . "Introduce students to the key registers of land / real estates and enable them to participate in their manufacture and maintenance. To be familiar with real restate registers and interests on them, to understand the measures of land development and the methods of land evaluation.\n• To know the regulations and administrative framework important for geodesy and geoinformatics, the regulations related to copy rights, publishing and exchange of spatial data.\n• To produce geodetic documentation needed for registration in cadastral and land registers, and the documentation needed in engineering works.\n• To determine and interpret the size, properties and relations between objects in space on the basis of measured data, spatial databases, plans and maps.\n• To maintain topographic, cartographic, maritime navigation and land information systems, to integrate and visualize spatial information. \n Learning outcomes \n 1. Distinguish relations between people and land and the concepts and content of: land administration, land management andland policy\n2. Recognize the land features to be registered in the cadastre and recognize their boundaries and other borders\n3. Collect data about the land and carry out the registration of those data in the Cadastre\n4. Distinguish ways of registration of certain land features in the Cadastre and Land registry in accordance with regulations\n5. Link registers of real estates (Cadastre) and interest on them (Land registry) and distinguish the role of surveyors and other experts\n6. Distinguish the conceptual, logical and physical models which are applied in cadastral systems\n7. Maintain the data registered in the Cadastre and Land registry in accordance with assigned authorisation\n8. Apply acquired knowledge about the cadastre on the real estate market and during the preparation of spatial representations for sustainable development projects, urban planning and environmental protection projects" . . "Presential"@en . "TRUE" . . "Photogrammetry"@en . . "5" . "- reach the basic knowledges about principles of photogrammetric measuring\n- know to choose the optimal methods of aerophotogrammetric measuring\n- to undestand the technology of aerophotogrammetric instrumentation\n- to know the procedures of photogrammetric data processing and measuring of im- \n -compare photogrammetric measuring methods to other surveying measuring methods\n- know the relevant features of metric cameras, and classify them according their metric features\n- Use the possibilities of digital photographic camera to achieve technical photography.\n- Define the coordinate systems in photogrammetry. Transform photogrammetric measurements between different coordinate systems in photogrammetry.\n- Evaluate the abilities of the human eye in the photogrammetric survey. \n -Interpret photogrammetric image and identify the orientation point.\n- measure photogrammetric images at the digital monocomparator.\n- Use the principles of stereoscopic vision to measure photogrammetric images.\n- Recognise elements of metric images and use them in the photogrammetric survey." . . "Presential"@en . "TRUE" . . "Geoinformation modelling"@en . . "5" . "Students will acquire theoretical background and practical usage of geoinformation modeling according to contemporary international norms and standards \nMaintain topographic, cartographic, maritime and navigation, and land information systems, integrate and visualise spatial information.\nUse information technology in solving geodetic and geoinformation tasks.\nRecognise problems and tasks in the application of geodetic and geoinformation principles and methods, and select proper procedures for their solution. \nenumerate parts and functions of a geoinformation system,\nrecognize the need for modeling of geospatial information in contemporary GIS applications, create a conceptual model of a geoinformation system using ER and UML notation,\nexplain geospatial data indexing methods,\ndifferentiate metric and topological operations on geospatial data,\napply the operations of raster algebra for solving interdisciplinary tasks,\nanalyze benefits and drawbacks of topological model,\ndescribe the universe of discourse using geospatial models,\ndescribe the purpose of normizations of geoinformation, enumerate normization iniciatives,\napply appropriate norms and standards in modeling of geoinformation" . . "Presential"@en . "TRUE" . . "Algorithms in geoinformation systems"@en . . "3" . "The course gives an overview of application of mathematics and computer science into geoinformation systems (GIS).\nUnderstanding algorithmic base of GIS is prerequisite for evaluation of results of GIS analysis and performing more complex spatial data analysis with typical GIS software. Spatial