. "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" . . "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" . . "Descriptive geometry"@en . . "3" . "Lectures. Parallel projection, invariants, oblique parallel axonometric projection. Dimetry and isometries. Rectangular projection. Characteristic invariant of rectangular projection. A gage projection.\nMap the point, line, and plane. The slope of the line and the plane to the projector. Slope and module. Conditions for parallelism between lines and planes. Affiliation and Common. The projection plane\nand any plane. Perpendicularity of straight lines and planes. Curves and topographic surfaces. Slope line and sloping surface. Rectangular projections into two or more projections. Map the point, line,\nand plane. Affiliation and Common. Polygon and polyhedron penetration. Change of reference system (transformation). Turnover and laps. Rotary surfaces, equator and main and side meridians.\nAffiliation to the rotating surface. Cross-sections and penetrations of rotary surfaces. Middle projection - basic news. Vertical perspective (two convergent). Design. Drawing axonometry of polyhedra\nand rotary surfaces. The slope and module of the straight and the plane. Tasks for affiliation and parallelism of elements. Determination of polygon and polyhedral puncture points. The edge of planes is\nthe penetration of polygons. Measurement tasks for applying the layout of the projecting plane and any plane. Tasks for the application of perpendicularity and plane. Solving tasks based on basic\nstructures in rectangular projections. Plot three flips of polyhedron with hole or notch. Application in the tasks of changing the reference system (transformation).Use of rotation and system structures\nin flat measurement tasks. Three flips of rotating lump with notch or hole. Vertical perspective of polyhedron" . . "Presential"@en . "TRUE" . . "Facultative class 4 - computational geometry"@en . . "3" . "Preliminary concepts, historical background, basic definitions for computational geometry. Discusses the basic algorithms of computational geometry. Basic data structures used to solve geometric problems. Characteristics and recording of geometric objects. Properties and use of vector product in computational geometry. Approximate objects with bounding rectangles and index spatial data. The\r\nissue of the intersection of lines and sections. Geometric interpretation. Search in a set of intersecting pairs. Study the position of the point inside the polygon. Methods of solving the task - special cases. Create a convex wrapper of a set of points. Methods of solving the task. Finding a pair of the least distant points. Generalizing the shape of geometric objects. Create paths for surface objects. The issue of\r\nthe intersection of polygons. Voronoi diagram and its application. The problem of triangulation of a set of points. Delaunay triangulation" . . "Presential"@en . "FALSE" . . "Geometric analysis of geographic data"@en . . "3" . "no data" . . "Presential"@en . "TRUE" . . "Geometric documentation of monuments"@en . . "3" . "The concept of monument-Documentation, restoration, rendering and protection of monuments. Guidelines for surveys-International Contracts for the protection of monuments. Technical Specifications and visualisation of monument surveys. Field surveying and photogrammetric techniques-Establishment, measurement and calculation of geodetic networks and control points. Planning the suitable close range, photography obtainment. Modern geodetic instruments and close range photogrammetric cameras. Digital cameras and video machines. Modern methods of restitution (CAD systems and photorealistic systems), analytical and digital photogrammetric instruments and products-monument recording. Monument surveying applications. Site visits in cultural areas in Cyprus." . . "Presential"@en . "TRUE" . . "Geometry"@en . . . . . . . .