Course detail

Mathematics and Geometry

FA-MAGAcad. year: 2022/2023

Course content addresses the needs of mathematics to solve technical problems and graphically illustrate the architectural objects in working on engineering and architecture. Lectures provide information on different ways to address problems and current trends, including the use of computer technology. Seminars are focused on individual work of students in skills that apply to specific tasks.

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

doc. Ing. Monika Petříčková, Ph.D.

Department

Department of Engineering (US)

Learning outcomes of the course unit

Students will focus on the use of mathematics and the ability to use mathematical apparatus for solving technical problems. Will be able to graphically illustrate the architectural design. Gets the orientation in the use of computational techniques for graphical representation of curves, surfaces and solids.

Prerequisites

Knowledge of mathematics and descriptive geometry in the range of secondary grammar school curriculum.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Condition classification essay, resigned at the time and the required quality and extent of individual and prepared graphical outputs. The resulting classification consists of the evaluation essay, graphic outputs and the test result.
Graded credit, the form provides for Study and Examination Regulations and Guidelines BUT Dean Faculty of Architecture.

Course curriculum

In lectures, the development of knowledge and information, individual work with students is carried out in workshops and consultations.

Work placements

Not applicable.

Aims

The goal is to use mathematics to understand the principles and apply them in solving practical problems. Another aim is to support spatial imagination, the ability to graphically express their ideas and develop materials for processing the project.

Specification of controlled education, way of implementation and compensation for absences

Teaching is through lectures and seminars. During the semester students to develop individually selected problem seminar work. Among other topics individually processed graphical outputs. Attendance at lectures is optional, control does not take place here. Attendance at seminars is compulsory, attendance is under review. Compensation determined Study and Examination Regulations and Guidelines BUT Dean Faculty of Architecture.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

KARPÍŠEK, Z., POPELA, P., BENÁŘ, J.: Statistika a pravděpodobnost. Studijní opora pro kombinované bakalářské studium. Brno: CERM 2002. s. ISBN: 80-7204-261-0. (CS)
MEZNÍK, I.: Matematika I. 8.vyd. Brno: CERM 2008. 150 s. ISBN: 978-80-214-3725-8. (CS)
MOLL I.: Deskriptivní geometrie pro I.ročník FAST VUT v Brně, verze 1.3 CD (CS)
VALA, J. Deskriptivní geometrie. Část 1. Brno: CERM, 1998. 111 s. ISBN: 80-214-0647-X. (CS)
VALA, J. Deskriptivní geometrie. Část 2. Brno: Vysoké učení technické, 1991. 130 s. (CS)

Recommended reading

aktuální texty a otevřené přednášky

Classification of course in study plans

  • Programme ARCHURB Bachelor's

    branch ARCH , 1 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Monika Petříčková, Ph.D.

Syllabus

Mathematics and geometry in engineering and architecture.
Integral calculus of functions of one variable, the application architecture.
Fundamentals of matrix calculus, the use in solving systems of equations.
Introduction to Geometry - Coordinate systems transformation. Theoretical solutions roofs.
Axonometric. Introduction to perspective.
Perspective.
Approximation of functions, polynomial interpolation, measurements on structures, the use of tables.
Functions of several variables - characteristics, differential and integral calculus, applications to engineering. Equations of curves and surfaces.
The curves in architecture, open space curves.
Areas in architecture. The use of curves, surfaces and solids in computing.
Fundamentals of statistics.
Illumination of objects in the Monge projection and perspective.
Differential equations. Analytical and numerical approach in solving mathematical problems.

Seminar

26 hod., optionally

Teacher / Lecturer

doc. Ing. Monika Petříčková, Ph.D.