FAST-HA52Acad. year: 2020/2021
a) Development of errors in numerical calculations. Numerical solution of algebraic equations and their systems.
b) Direct and iterative methods of solution of linear algebraic equations. Eigennumbers and eigenvectors of matrices. Construction of inverse and pseudoinverse matrices.
c) Interpolation polynoms and splines. Approximation of functions using the least square method.
d) Numerical evaluation of derivatives and integrals. Numerical solution of selected differential equations.
Institute of Mathematics and Descriptive Geometry (MAT)
Learning outcomes of the course unit
Following the aim of the course, students will be able to apply numerical approaches to standard engineering problems.
Basic knowledge of linear algebra and of differential and integral calculus of functions of one and more variables. Ability to study mathematical textbooks (no lectures are included).
Recommended optional programme components
Recommended or required reading
R. W. Hamming: Numerical Methods for Scientists and Engineers. Dover Publications, 1987. 978-0486652412. (CS)
J. Dalík: Numerické metody. CERM Brno, 1997. (CS)
Jiří Vala: Lineární prostory a operátory. elektronický učební materiál pro kombinované studium na FAST, 2004. (CS)
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Language of instruction
To understand fundamentals of numerical methods for the interpolation and approximation of functions and for the solution of algebraic and differential equations, reqiured in the technical practice.
Specification of controlled education, way of implementation and compensation for absences
Extent and forms are specified by guarantor’s regulation updated for every academic year.
Type of course unit
26 hours, compulsory
Teacher / Lecturer