Course detail

Mathematics and Geometry

FA-MAG-NEAcad. year: 2025/2026

The course reacts to the students´ needs on how to apply mathematics in technical problems and how to graphically render the buildings in building construction and architecture. Theoretical knowledge about various ways of solving problems and current trends, including the use of computer technology, are discussed in seminars using the reverse class method. Subsequently, they are applied to specific tasks as part of the students' independent work.

Language of instruction

English

Number of ECTS credits

2

Mode of study

Not applicable.

Guarantor

Ing. arch. Jan Foretník, Ph.D.

Department

Department of Spatial Design (UPT)

Entry knowledge

Not applicable.

Rules for evaluation and completion of the course

Students will sit in-semester tests and submit assignments which form 40 % of the assessment. The end-of semester test forms 60 % of the assessment.
The attendance at the practical classes is mandatory, the absences cannot be compensated, only excused for serious reasons.
In the case of a student's apology and with approval of the subject guarantor, personal attendance may be substituted with online attendance in the classes.

Aims

The aim of the course is to understand the principles of mathematics and to apply them in the solution of practical problems. Another aim is to deepen the spatial imagination, ability to graphically express their ideas, and to develop materials for project design.
  • Students will understand basic mathematical methods of mathematical analysis, linear algebra, and descriptive geometry.
  • Students will know how to use mathematical methods when solving practical problems.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

BALLAST, David Kent. Architect's Handbook of Formulas, Tables, and Mathematical Calculations. Prentice Hall, 1988. ISBN: 9780132442459. (EN)
CARPO, Mario, LEMERLE, Frédérique, eds. Perspective, Projections and Design: Technologies of Architectural Representation. N.p., Taylor & Francis, 2013. ISBN: 9781135657079. (EN)
HARTMANN, F. The Mathematical Foundation of Structural Mechanics. Springer Berlin Heidelberg, 2012. ISBN: 9783642824012. (EN)
LOCKWOOD, E. H. Book of Curves. Cambridge University Press, 2007. ISBN: 978-0-521-04444-8. (EN)

Recommended reading

BARTELS, Richard H., BEATTY, John C., BARSKY, Brian A. An Introduction to Splines for Use In Computer Graphics And Geometric Modelling. San Mateo: Morgan Kaufmann, 1995. ISBN: 1-55860-400-6. (EN)
EVANS, Robin. The Projective Část: Architecture and Its Three Geometries. Massachusetts: MIT, 2000. ISBN: 0-262-550385. (EN)
FORETNÍK, Jan. NURBSdemo (online tool). Brno: FA BUT, 2012. URL: http://geometrie.foretnik.net/files/NURBS-en.swf (EN)
ISSA, Rajaa. Essential Mathematics for Computational Design (online). Robert McNeel & Associates, 2021. https://developer.rhino3d.com/guides/general/essential-mathematics/ (EN)
SALOMON, David. Curves and Surfaces for Computer Graphics. New York, Springler Science + Business Media, 2006. ISBN: 0-387-24196-5. (EN)

Classification of course in study plans

  • Programme B_A+U Bachelor's 1 year of study, winter semester, compulsory

Type of course unit

 

Seminar

48 hod., compulsory

Teacher / Lecturer

Ing. arch. Jan Foretník, Ph.D.