After successfully completing his/her studies the graduate is able to:

• teach secondary school descriptive geometry at the proper professional level and employ the appropriate methodical and didactic methods
• apply experience with professional spatial imagination and creative approach to work

Since the studies are necessarily double-subject, students are required to complete the teacher training of the same extent also in the second study programme.

Characteristics of the Master's thesis and its defence

In the Master's thesis students demonstrates their knowledge in the area of the theme of the thesis and the ability to work under supervision. During the defence of the Master's thesis the understanding of the topic and level of presentation are assessed.

Characteristics of the state examination

The purpose of the examination is to verify whether the student is familiar with the theory of imaging techniques, and knows sufficiently well the practical constructions of the individual imaging methods - Monge imaging method, axonometry, central projection, linear perspective, and others. The final state examination consists of written and oral parts. In the written part, students will demonstrate on specific tasks the practical knowledge of structures in various imaging methods. In the oral part they should demonstrate the adequate understanding of the theoretical foundations of imaging methods.

Defining the scope of questions for the oral examination

Descriptive Geometry

Parallel Projection, Pohlke's Theorem

Monge Imaging Method, Quetelet-Dandelin's Theorem

Axonometry, Skuherský Method, Sobotka Method

Central Imaging Methods

Linear Perspective

Developable Surfaces

Warped Surfaces

Surfaces of Revolution

Generalized Helicoids

Lighting

The Use of Imaging Techniques in Cartography

Didactics of Descriptive Geometry

Focal Properties of Conic Sections

Free Parallel Projection

Positional Problems in Stereometry

Metric Problems in Stereometry

Axial Affinity and Collineation

Monge Projection

Positional Problems in Monge Projection

Metric Problems in Monge Projection

Displaying Polyhedra in Monge Projection

Displaying Round Bodies in Monge Projection

Sections and Intersections of Solids in Monge Projection

Dimensioned Projection in Teaching Descriptive Geometry at Secondary Schools

Axonometry in Teaching Descriptive Geometry at Secondary Schools

Geometry of Triangle

History of Descriptive Geometry