Course detail

Mathematics

FA-MATCompulsoryBachelor's (1st cycle)Acad. year: 2010/2011Winter semester1. year of study3  credits

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

Learning outcomes of the course unit

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

Mode of delivery

90 % face-to-face, 10 % distance learning

Prerequisites

Knowledge in the range of demands to entrance test.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Novotný, J.: MATEMATIKA I, Základy lineární algebry, Skripta FAST (CS)
Jarník, V.: Diferenciální počet I, II, Academia Praha 1974 (CS)
Dlouhý, O.; Tryhuk, V.: MATEMATIKA I, Diferenciální počet funkce jedné proměnné, Skripta FAST. (CS)
Lang, S.: A First Course in Calculus, Fifth Edition, Springer-Verlag 1993 (EN)
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)

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 homeworks
- to pass out written exams

Compound examination - written and oral part

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1st - 2nd week:
Introduction. Second school recapitulation - modification of algebraic expression, basic figures and references, unit convections.
(Necessary to any technical calculations)

3d - 4th week:
Recapitulation of elementary functions with the emphasis on trigonometric functions.
(Load decomposition on simple building construction into the set direction, progression of construction loads in time, beam deformations, catenarian curve - rope construction solutions...)

5th - 6th week:
Solution of equation and not equation systems, comparison of static calculations made "by hand" and using a building software. Matrix arithmetic.
(Solution of statically indeterminate constructions using the method of force or the deformation method, stress tensor, calculation of the dangerous section...)

7th week:
Chosen items of the linear algebra, e-learning.
(Special affairs)

8th - 10th week:
Differential and integral calculations of functions with one and more variable quantity.
(Bending line of beams, integral and differential references between load, inside forces and deformations upon the beam, calculation of section properties.)

11th - 12th week:
Basic information on probability and statistics.
(Probabilistic analysis of construction, probability of construction failure, statistic designation of material properties, ...)

13th week:
Backup facility, revision.

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.

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise

12 hours, compulsory

Teacher / Lecturer