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Lecturer(s)
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Vršek Jan, Doc. RNDr. Ph.D.
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Štauberová Zuzana, Mgr.
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Course content
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Global and local coordinate systems. Fundamentals of plane and spatial analytic geometry. Polyhedra, polyhedral surfaces, Platonic and Archimedean solids, Golden ratio. Boolean operations, Feature Based Modelling. Descriptive geometry methods, Monge projection and linear perspective, non-linear projections, light and shadow. Geometric transformation in the plane and in the space. Curves and surfaces, their properties and visualization. Surfaces from special classes (rotational, translational, ruled, developable, helical, canal surfaces) and its application. Geometric methods application in art, design, architecture, engineering etc.
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Learning activities and teaching methods
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Lecture supplemented with a discussion, Multimedia supported teaching, Individual study, Lecture, Practicum
- Contact hours
- 39 hours per semester
- Preparation for formative assessments (2-20)
- 5 hours per semester
- Preparation for an examination (30-60)
- 30 hours per semester
- Undergraduate study programme term essay (20-40)
- 20 hours per semester
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| prerequisite |
|---|
| Knowledge |
|---|
| rozumět základním poučkám z elementární geometrie a trigonometrie v rozsahu učiva střední školy |
| rozumět základním principům z maticové algebry a vektorového počtu |
| rozumět základním principům elementárního kalkulu s ohledem na reálné funkce jedné a dvou prouměnných |
| Skills |
|---|
| aplikovat osvojené postupy na elementární geometrické úlohy na úrovni střední školy |
| počítat s vektory, maticemi a determinanty |
| řešit vhodné soustavy polynomiálních rovnic |
| používat aparát kalkulu na základní úlohy |
| Competences |
|---|
| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| understand the use of the analytical method in geometry |
| understand the basic properties of elementary geometric maps in the plane and in space |
| be familiar with the description of elementary geometric objects (especially special classes of curves and surfaces) |
| understand the development of geometry as part of our cultural heritage |
| Skills |
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| actively use the analytical method in solving basic and applied problems |
| recognize basic shapes in the world around us (polyhedra, curves, surfaces, discrete surfaces, etc.) |
| perform appropriate decomposition of more complex geometric objects into basic elements |
| analyze selected geometric properties, especially with regard to their application in their studies and future professional specialization |
| find and use application possibilities not only in geometry, but also in natural sciences, computer graphics, industrial design, etc. |
| Competences |
|---|
| N/A |
| N/A |
| teaching methods |
|---|
| Knowledge |
|---|
| Lecture |
| Lecture supplemented with a discussion |
| Practicum |
| Multimedia supported teaching |
| Individual study |
| Skills |
|---|
| Lecture |
| Lecture supplemented with a discussion |
| Practicum |
| Multimedia supported teaching |
| Individual study |
| Competences |
|---|
| Lecture |
| Lecture supplemented with a discussion |
| Practicum |
| Multimedia supported teaching |
| Individual study |
| assessment methods |
|---|
| Knowledge |
|---|
| Combined exam |
| Test |
| Skills |
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| Combined exam |
| Test |
| Competences |
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| Combined exam |
| Test |
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Recommended literature
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Černý, J., Kočandrlová, M. Konstruktivní geometrie. Česká technika ? nakladatelství ČVUT, 2004. ISBN 80-01-03089-X.
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Meyer, Walter. Geometry and its applications. San Diego : Academic Press, 1999. ISBN 0-12-493270-3.
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Pottmann, Helmut. Architectural geometry. 1st ed. Exton : Bentley Institute Press, 2007. ISBN 978-1-934493-04-5.
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Sekanina, M. a kol. Geometrie. 2. díl.. 1. vyd. Praha : Státní pedagogické nakladatelství, 1988.
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Urban, Alois. Deskriptivní geometrie. II.. Praha : SNTL, 1979.
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Urban, Alois. Deskriptivní geometrie. I.. Praha : SNTL, 1977.
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