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Course syllabus I1-MA - Mathematics in architecture (FCE - SS 2019/2020)

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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: I1-MA
Course unit title: Mathematics in architecture
Mode of delivery, planned learning activities and teaching methods:
lecture2 hours weekly (on-site method)
seminar1 hour weekly (on-site method)

Credits allocated: 3
Recommended semester/trimester: Building Construction and Architecture - master (semi-compulsory), 4. semester
Level of study: 2.
Prerequisites for registration: none
Assesment methods:
development and defense of a seminar work, correct elaboration of at least two homeworks
Learning outcomes of the course unit:
The subject shows applications of mathematics in architecture and civil engineering both from art and technical point of view
Course contents:
- Mathematics in Architecture before the era of computers. Golden Section,
Golden Rectangle and their connection to the Logarithmic Spiral, Fibonacci
Sequence and Fibonacci Numbers. Their applications in Architecture and Art.
- Polygons in Mathematics, Nature and Architecture. Vinci - geodesic dome, Golden Triangle,
Petangon, Hexagon, Mosaic and their symmetries in Mathematics and in Nature.
- Polyhedra in Mathematics and in Nature: Crystals, Platonic Solids and Kepler-Poinsot Solids. Curves in Mathematics: Circle, Parabola, Hyperbola. Special Surfaces: Helix Surface, Moebius
Band and Klein Bottle.
-Mathematics in Modern Architecture, Non-Euclidean geometry, Fractals.
- Utilization of the multiphysical software for prediction of the physical parameters of the designed buildings – mechanical and thermal reviewing of the building and its parts, elementary fluid flow tasks.
Recommended or required reading:
PAPPAS, T. Potešenie z matematiky. Bratislava: Acom Soft TM7JJ, 2000.
KNOR, M. -- KOLLÁR, J. Matematika pre architektov. Bratislava : STU v Bratislave, 2002. 122 p. ISBN 80-227-1664-2.
MINÁROVÁ, M. Príklady inžinierskej praxe s implementáciou v programe ANSYS. Bratislava : Nakladateľstvo STU, 2013. 118 p. ISBN 978-80-227-4047-0.
KVASNIČKA, V. Diskrétna matematika.  [online]. 2014. URL: http://www2.fiit.stuba.sk/~kvasnicka/DiskretnaMatematika/index.html.

Language of instruction: slovak or english
Courses evaluation:
Assessed students in total: 29

75,9 %17,2 %6,9 %0 %0 %0 %
Name of lecturer(s): prof. RNDr. Radko Mesiar, DrSc. (person responsible for course)
doc. RNDr. Mária Minárová, PhD. (examiner, instructor, lecturer, tutor) - slovak, english
Mgr. Mária Ždímalová, PhD. (examiner, instructor, lecturer, tutor)
Last modification: 16. 4. 2019
Supervisor: prof. RNDr. Radko Mesiar, DrSc. and programme supervisor

Last modification made by Ing. Peter Korčák on 04/16/2019.

Type of output: