# Course syllabus 282205_BDP - Conctructive Geometry (FME - SS 2019/2020)

**Information sheet**ECTS Syllabus

Slovak

**English**

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: | ||||||||||||||||

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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: | ||||||||||||||||

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Language of instruction: | slovak or english | |||||||||||||||

Notes: | ||||||||||||||||

Courses evaluation: | ||||||||||||||||

Assessed students in total: 1078
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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.*