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Course detail

Mathematics

Course unit code: FA-MAT
Academic year: 2010/2011
Type of course unit: compulsory
Level of course unit: Bachelor's (1st cycle)
Year of study: 1
Semester: winter
Number of ECTS credits:
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.
Course contents (annotation):
Become acquainted with the basic mathematical appliance necessary to solve technical tasks.
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: Ing. Vít Mikulík, Ph.D. et Ph.D.
Exercise: 12 hours, compulsory
Teacher / Lecturer: Ing. Vít Mikulík, Ph.D. et Ph.D.

The study programmes with the given course