# Sveučilište u Splitu - Fakultet građevinarstva, arhitekture i geodezijeUniversity of Split - Faculty of Civil Engineering, Architecture and Geodesy

## Department of Geometry

 Study Course Semester Hours ECTS Undergraduate University Study of Civil Engineering Descriptive Geometry Applied Geometry I. II. 30+30 30+30 5,0 5,0 Undergraduate University Study of Architecture and Urban Planning Principles of Projections I Principles of Projections II I. II. 30+30 30+30 5,0 5,0 Undergraduate University Study of Geodesy and Geoinformatics Computer Geometry II. 30+30 5,0 Undergraduate Professional Study of Civil Engineering Descriptive Geometry II. 30+30 5,0

Learning Outcomes:

Undergraduate university study of Civil Engineering
Descriptive Geometry
- a student will be able to:
-    identify, classify and constructconics using perspective collineation and affinity;
-    solve 2D and 3D problems using Monge's projection;
-    construct 3D images of objects given by Monge's projection using axonometric projection;
-    construct intersections of surfaces and planes;
-    recognize, analyze and comment the intersection curve of a surface and a plane;
-    distinguish various conics as intersection curves;
-    use and apply projection methods to solve civil engineering problems.

Applied Geometry - a student will be able to:
-    analyze and construct intersections of two solids (coni, cylindersand spheres);
-    solve 2D and 3D problems using the orthogonal projection;
-    analyze topographic maps and by orthogonal projection draw cuts and fills along a level or grade road and dam;
-    draw profiles of roads and calculate fill volumes;
-    solve roof structures (simple roofs and roofs with external/internal barriers) of the building using the roof planes method;
-    solve 2D and 3D problems using central projection (perspective);
-    recognize the laws of projections and apply them accordingly to solve different constructive problems.

Undergraduate University Study of Architecture and Urban Planning
Principles of Projections I
- a student will be able to:
-    identify, classify and construct conics using perspective collineation and affinity;
-    solve 2D and 3D problems using Monge's projection;
-    construct 3D images of objects given by Monge's projection using axonometric projection;
-    construct intersections of surfaces and planes;
-    recognize, analyze and comment the intersection curve of a surface and a plane;
-    distinguish various conics as intersection curves;
-    use and apply projection methods to solve architectural problems.

Principles of Projections II - a student will be able to:
-    analyze and construct intersections of two solids (coni, cylindersand spheres);
-    identify, distinguish and produce arch constructions;
-    construct shades and shadows of various objects using the orthogonal projection;
-    analyze topographic maps and by orthogonal projection draw cuts and fills along a level or grade road;
-    solve 2D and 3D problems using central projection (perspective);
-    use several methods to construct perspective images of objects given by Monge's projection;
-    recognize the laws of projections and apply them accordingly to solve different problems in architecture.

Undergraduate University Study of Geodesy and Geoinformatics
Computer Geometry
- a student will be able to:
-    identify, classify and construct conics using perspective collineation and affinity;
-    solve 2D and 3D problems using Monge's projection;
-    solve 2D and 3D problems using the orthogonal projection;
-    recognize, analyze and comment the intersection curve of a surface and a plane;
-    distinguish various conics as intersection curves;
-    analyze topographic maps and by orthogonal projection draw cuts and fills along a level or grade road;
-    recognize the laws of projections and apply them accordingly to solve problems in geodesy;
-    draw and solve constructive tasks using computer programs of dynamic geometry.

Undergraduate professional study of Civil Engineering
Descriptive Geometry
- a student will be able to:
-    solve 2D and 3D problems using Monge's projection;
-    construct 3D images of objects given by Monge's projection using axonometric projection;
-    solve roof structures (simple roofs and roofs with external/internal barriers) of the building using the roof planes method;
-    describe the orthogonal projection and solve 2D problems;
-    analyze topographic maps and by orthogonal projection draw cuts and fills along a level or grade road;
-    recognize the laws of projections and apply them accordingly to solve civil engineering problems;
-    draw and solve constructive tasks using computer programs of dynamic geometry.