Apr 7, 2020   8:54 p.m. Zoltán
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Course syllabus 282205_BDP - Conctructive Geometry (FME - SS 2019/2020)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Mechanical Engineering
Course unit code: 282205_BDP
Course unit title: Conctructive Geometry
Mode of delivery, planned learning activities and teaching methods:
lecture2 hours weekly (on-site method)
37 hours per semester of study (combined method)
seminar2 hours weekly (on-site method)

Credits allocated: 5
Recommended semester/trimester: Applied Mechanics and Mechatronics - bachelor (semi-compulsory), 4. semester
Applied Mechanics and Mechatronics (in english language) - bachelor (semi-compulsory), 4. semester
Automation and Informatics of Machines and Processes - bachelor (semi-compulsory), 4. semester
Automobiles and Mobile Production Machines - bachelor (semi-compulsory), 4. semester
Environmental Manufacturing Technologies - bachelor (semi-compulsory), 4. semester
Environmental Protection Technologies - bachelor (semi-compulsory), 4. semester
Measurement and Quality Management in Mechnical Engineering - bachelor (semi-compulsory), 4. semester
Production Processes and Materials - bachelor (semi-compulsory), 4. semester
Thermal Power Engineering Machinery and Equipment - bachelor (semi-compulsory), 4. semester
Level of study: 1.
Prerequisites for registration: none
Assesment methods:
Elaboration of 4 projects - graphical paper drawings delivered during semester
Project 1 - Intersection of triangles, 5 points
Project 2 - View of solid - machine part in orthogonal axonometry by intersection method, 10 points
Project 3 - Developable surface, construction of generatin line and development of surface, 15 points (+5 bonus points for 3D model)
Project 4 - Planar intersection on helicoidal surface in Monge method - 10 points
Exam - written test for 60 points

If the conditions to receive assignment are not fulfilled, teacher can introduce compensatory conditions.
Learning outcomes of the course unit:
Students obtain the basic knowledge on geometry of three-dimensional space and its transformations, on spatial relations and geometric properties of objects, which determine their shape and position, and which are inevitable for the computer aided geometric modelling. He/she receives the orientation in geometric notions and relations, is able to adopt synthetic methods to solve problems and to use logic as the background for the rational reasoning. He/she understands principles of the mappings of the space to the plane via orthographic projection methods for finding views of elementary objects - Monge projection method and orthogonal axonometry. He/she is able to construct views of elementary geometric figures, to solve problems on position and intersections, and to reconstruct figure from its orthographic views via solving metric problems on true size and form of figure. Students will learn basics of geometric modelling in the space and geometric properties of geometric figures, namely special types of curves, surfaces and solids used in mechanical engineering, solve problems on these figures and practise their usage in the CAD system based modelling and construction.
Course contents:
Backgrounds for linear mappings of space to plane - geometric transformations of space and their matrix representations, analytic representations of geometric figures, equations and creative laws
Orthographic projection methods - Monge method, orthogonal axonometry
Geometry of curves - equations, views and basic properties
Conic sections - ellipse, parabola, hyperbola, helix, interpolation cubics
Geometry of surfaces - equations, views and basic properties
Elementary surfaces - prismatic, pyramidal, cylindrical, conical, spherical
developable line surfaces - torses, surfaces of revolution - torus,
quadratic surfaces - ellipsoid, elliptic and hyperbolic paraboloid, hyperboloids,
helicoids, interpolation and approximation surfaces
Recommended or required reading:
VELICHOVÁ, D. Konštrukčná geometria. Bratislava : STU v Bratislave, 2003. 201 p. ISBN 80-227-1839-4.
VELICHOVÁ, D. Konštrukčná geometria. Bratislava : STU v Bratislave, 1996. 201 p. ISBN 80-227-0904-2.
VELICHOVÁ, D. Geometrické modelovanie: Matematické základy. Bratislava : STU v Bratislave, 2005. 140 p. ISBN 80-227-2179-4.
SZARKOVÁ, D. -- VELICHOVÁ, D. Konštrukčná geometria: úlohy a pracovné listy. Bratislava : Nakladateľstvo STU, 2012. 79 p. ISBN 978-80-227-3830-9.
VELICHOVÁ, D. Constructional Geometry I. Bratislava : STU v Bratislave, 1996. 81 p.
VELICHOVÁ, D. Constructional Geometry II. Bratislava : STU v Bratislave, 1998. 97 p.
VELICHOVÁ, D. Constructive geometry. Bratislava : Nakladateľstvo STU, 2012. 109 p. ISBN 978-80-227-3645-9.
VELICHOVÁ, D. Constructive geometry [on line]: Electronic book. Bratislava : STU v Bratislave SjF KM, 2003.

Velichová, D.: Geometria v rovine, elektronické učebné texty, http://evlm.stuba.sk/~velichova/Geometria/geometria1.html
Velichová, D.: Konštrukčná geometria, elektronická učebnica, http://evlm.stuba.sk/~velichova/Geometria/KOGE/kniha.html

Language of instruction: slovak or english
Courses evaluation:
Assessed students in total: 1078

13,1 %10,9 %18,1 %24,8 %29,4 %3,7 %
Name of lecturer(s): doc. RNDr. Daniela Velichová, CSc. (examiner, instructor, lecturer, person responsible for course) - slovak, english
Last modification: 12. 6. 2019
Supervisor: doc. RNDr. Daniela Velichová, CSc. and programme supervisor

Last modification made by Ing. Marianna Frajková on 06/12/2019.

Type of output: