Course detail

Mathematics

FA-MATAcad. year: 2011/2012

Become acquainted with the basic mathematical appliance necessary to solve technical tasks.

Language of instruction

Czech

Number of ECTS credits

3

Mode of study

Not applicable.

Learning outcomes of the course unit

The skill of using the basic mathematical appliance at solving technical tasks.

Prerequisites

Knowledge in the range of demands to entrance test.

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

Conditions of inclusion awards:
- participation in exercises
- elaborated exercises
- to pass out written exams

Course curriculum

Revision of selected issues of the secondary education mathematics.
Functions of one variable.
Use of functions in construction.
Improper numbers, limit of functions, series.
Differential calculus of one variable, application in construction.
Integral calculus of functions of one variable, application in construction.
Approximation of functions.
Basics of matrix calculation.
Solving systems of linear equations.
Extremes of functions of multiple variables, application in construction.
Implementation of double and triple integrals in the area of construction.
Basics of statistics.
Basics of likelihood.

Work placements

Not applicable.

Aims

Learn to use the basic mathematical appliance at solving technical tasks.

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

The teacher supervising the seminar checks the students' attendance and assesses each student on a continual basis. Missed lessons may be made up for as agreed with and arranged by the teacher.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Novotný, J.: MATEMATIKA I, Základy lineární algebry, Skripta FAST (CS)
Dlouhý, O.; Tryhuk, V.: MATEMATIKA I, Diferenciální počet funkce jedné proměnné, Skripta FAST. (CS)
Diblík, J.; Přibyl, O.: Obyčejné diferenciální rovnice, Skripta FAST. (CS)
Karpíšek, Z.; Popela, P.; Bednář, J.: Statistika a pravděpodobnost. Studijní opora pro kombinované bakalářské studium, FSI. (CS)
Čermáková, H.; Hřebíčková, J.; Slaběňáková, J.; Šafářová, H.: Sbírka příkladů z matematiky I a II, Skripta FAST. (CS)
Koutková, H.; Dlouhý, O.: Sbírka příkladů z pravděpodobnosti a matematické statistiky, Skripta FAST (CS)

Recommended reading

Jarník, V.: Diferenciální počet I, II, Academia Praha 1974 (CS)
Lang, S.: A First Course in Calculus, Fifth Edition, Springer-Verlag 1993 (EN)

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 hours, compulsory

Teacher / Lecturer

Fundamentals seminar

12 hours, compulsory

Teacher / Lecturer