Course detail

Computer support of numerical methods

FAST-CA91Acad. year: 2013/2014

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

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

Application of software MATLAB to the analysis of problems of numerical mathematics, as a facultative upgrade of courses CA01, CA02, CA04 and CA06.

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

The course is taught through practical classes and self-study assignments. Attendance at practical classes is compulsory.

Assesment methods and criteria linked to learning outcomes

The following items are obligatory: attendind exercises, MATLAB-supported solution individual examples, successful results of all tests.

Course curriculum

1.-3. MATLAB as command interpreter and programming language
4.-5. Apprroximation and interpolation of a function
6.-7. Numerical solution of linear systems of algebraic equations
8.-10. Numerical solution of nonlinear algebraic (and other) equations and systems
11.-12. Numerical solution of selected diferential equations
13. Presentation of a semestral project (due to student's specialization)

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

Stanoyevitch A.: Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB. Wiley-Interscience, 2005. (EN)

Recommended reading

Karban P.: Výpočty a simulace v programech MATLAB a SIMULINK. Computer Press, 2006. (CS)

Classification of course in study plans

  • Programme N-P-C-SI Master's

    branch E , 1 year of study, winter semester, recommended course
    branch K , 1 year of study, winter semester, recommended course
    branch M , 1 year of study, winter semester, recommended course
    branch R , 1 year of study, winter semester, recommended course
    branch S , 1 year of study, winter semester, recommended course
    branch S , 1 year of study, winter semester, recommended course
    branch S , 1 year of study, winter semester, recommended course
    branch S , 1 year of study, winter semester, recommended course
    branch V , 1 year of study, winter semester, recommended course

Type of course unit

 

Exercise

26 hod., compulsory

Teacher / Lecturer

prof. Ing. Jiří Vala, CSc.

Syllabus

1.-4. Fundamantals of MATLAB environment and programming language.
5.-7. Numerical analysis of algebraic equations and their systems.
8.-10. Interpolation and approximation of functions.
11.-13. Numerical analysis of differential equations.