Information sheet ECTS Syllabus
Course syllabus 42709_4B - Mathematics I (FCFT - WS 2017/2018)
|University:||Slovak University of Technology in Bratislava|
|Faculty:||Faculty of Chemical and Food Technology|
|Course unit code:||42709_4B|
|Course unit title:||Mathematics I|
|Mode of delivery, planned learning activities and teaching methods:|
|Recommended semester/trimester:||-- item not defined --|
|Level of study:||1.|
|Prerequisites for registration:||none|
|Learning outcomes of the course unit:|
|Introduction to linear algebra, diferential and integral calculus|
|Linear vector space
Linear dependence and linear independence of vectors, dimension of a linear vector space.
Matrices and basic properties of matrices
System of linear equations.
Real functions of one variable and their properties.
Sequences, limit of a sequence
Limit and continuity of a function.
Derivative of a functions.
Derivative of a composite and an inverse function.
Derivative of a higher order, differential
L' Hospital's rule, Lagrange' s Theorem.
Properties of functions having derivatives, graphing of functions
Antiderivative -- primitive function, indefinite integral.
Integration by substitution and by parts.
Decomposition of rational functions into partial functions, Integration of rational functions
Basic properties of definite integral.
Mean -- value theorem for integrals, definite integral as a function of the upper limit.
Computation of definite integral by substitution and by parts.
Geometrical and physical applications of definite integral
|Recommended or required reading:|
|Language of instruction:||slovak or english|
|Assessed students in total: 1889|
|Name of lecturer(s):||doc. RNDr. Vladimír Baláž, CSc. (examiner, instructor, lecturer) - slovak, english |
Mgr. Ľubomíra Horanská, PhD. (examiner, instructor, lecturer) - slovak, english
doc. RNDr. Milan Jasem, CSc. (examiner, instructor, lecturer, person responsible for course) - slovak, english
PaedDr. Tomáš Visnyai, PhD. (examiner, instructor, lecturer)
|Last modification:||22. 9. 2017|
|Supervisor:||doc. RNDr. Milan Jasem, CSc. and programme supervisor|
Last modification made by Ing. Tomáš Molnár on 09/22/2017.