Course detail

Computer support of numerical methods

FAST-VAC002Acad. year: 2022/2023

MATLAB environment, fundamentals of programming language. Applications: numerical analysis of linear and nonlinear algebraic equations and their systems, interpolation and approximation of real functions, least squares method, effective solution of differential equations using finite difference and finite element methods.

Language of instruction

Czech

Number of ECTS credits

2

Mode of study

Not applicable.

Guarantor

prof. Ing. Jiří Vala, CSc.

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Learning outcomes of the course unit

Competence to analyze computational problems of engineering practice
using MATLAB-supported advanced numerical methods.

Prerequisites

Basic courses of mathematics for Bc. degree BA06, BA07, BA02, BA04. Simultaneous study of some of the following courses: CA01, CA02, CA04, CA06.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

Application of software MATLAB to the analysis of problems of numerical mathematics. Facultative upgrade of courses CA01, CA02, CA04 and CA06. At least 10 students required.

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

KARBAN P.: Výpočty a simulace v programech MATLAB a SIMULINK. Computer Press 2006.

(CS)

STANOYEVITCH A.: .Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB. Wiley-Interscience 2005.

(EN)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme BPC-VP Bachelor's, 1. year of study, summer semester, elective

Type of course unit

 

Exercise

26 hours, compulsory

Teacher / Lecturer

prof. Ing. Jiří Vala, CSc.

Syllabus

1.–2. Harmonogram cvičení. Práce v prostředí programovacího jazyka MATLAB.
3.–5. Numerické řešení rovnic a jejich soustav.
6.–8. Interpolace a aproximace funkcí.
9.–11. Další úlohy numerické matematiky podle individuálního zájmu studentů (numerická integrace nebo řešení počátečních a okrajových úloh pro diferenciální rovnice).
12. Optimalizační úlohy.
13. Prezentace samostatných zadání.