Department of Geometry


Academic staff:

 

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;
-    draw shades and shadows of various objects in perspective;
-    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.