Přístupnostní navigace
E-application
Search Search Close
Course detail
FAST-BA01Acad. year: 2024/2025
Linear algebra (basics of matrix calculus, Gauss elimination method, inverse to a matrix, determinants and their applications). Eigenvalues and eigenvectors of a matrix.Basics of vector calculus. Linear spaces.Analytic geometry (scalar, vector and scalar triple products, affine and metric problems for linear objects in E3). Real function of one real variable. Sequences, limit and continuity of a function. Derivative of a function, its geometric and physical interpretation, basic theorems on derivatives, higher-order derivatives, differentials of a function, Taylor expansion of a function, sketching the graph of a function. Antiderivative, indefinite integral, its properties and methods of calculation. Newton integral, its properties and calculation. Definition of Riemann integral. Applications of integral calculus in geometry and physics - area of a plane figure, length of a curve, volume and surface of a rotational body, static moments and the centre of gravity.Functions in two and more variables. Limit and continuity, partial derivatives, implicit function, total differential, Taylor expansion, local minima and maxima, relative maxima and minima, maximum and minimum values of a function; directional derivative, gradient.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Rules for evaluation and completion of the course
Aims
Study aids
Prerequisites and corequisites
Basic literature
Recommended literature
Lecture
Teacher / Lecturer
Syllabus
Exercise