SubjectsSubjects(version: 861)
Course, academic year 2019/2020
  
Numerical Analysis and Computer Graphics - D445008
Title: Numerická analýza a počítačová grafika
Guaranteed by: Department of Computing and Control Engineering (445)
Actual: from 2019
Semester: summer
Points: summer s.:0
E-Credits: summer s.:0
Examination process: summer s.:
Hours per week, examination: summer s.:0/0 other [hours/week]
Capacity: unknown / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
Level:  
For type:  
Additional information: http://uprt.vscht.cz/prochazka/pedag/lectures/SP0_MATLAB_2006EN.pdf
Note: course is intended for doctoral students only
can be fulfilled in the future
Guarantor: Procházka Aleš prof. Ing. CSc.
Z//Is interchangeable with: AP445001, P445001
Examination dates   Schedule   
Annotation -
Last update: Procházka Aleš prof. Ing. CSc. (05.01.2018)
The subject presents computational and visualization tools of the MATLAB / SIMULINK environment and its use for numeric and symbolic solution of selected computational problems. A special attention is paid to problems of data analysis, solution of linear algebraic equations, linear and nonlinear approximation, solution of nonlinear equations, to methods of numeric interpolation, derivation and integration and to the solution of difference equations. Further topis will include fundamentals of modelling and data visualization. Selected case studies will be devoted to applications of computational methods for processing of engineering and biomedical signals and images.
Aim of the course -
Last update: Procházka Aleš prof. Ing. CSc. (05.01.2018)

Students will obtain knowledge in

(i) algorithmic approach to engineering problems, programming and visualization in the MATLAB computational environment,

(ii) the use of symbolic mathematics,

(iii) block oriented data processing in the SIMULINK environment,

(iv) computational processing of selected numerical methods with applications

(v) application of numerical methods for real data processing

Descriptors -
Last update: Procházka Aleš prof. Ing. CSc. (05.01.2018)

Numerical and statistical methods, data processing, symbolic mathematics, algorithms, MATLAB programming, visualization

Literature -
Last update: Procházka Aleš prof. Ing. CSc. (05.01.2018)

Z: F. Dušek: Matlab a Simulink, úvod do používání, FChT UPCE, Pardubice 2001

Z: J. Novák, I. Pultarová, P. Novák: Základy informatiky - Počítačové modelování v Matlabu, ČVUT Praha 2005, Fakulta stavební

D: R.L. Burden: Numerical Analysis, Brooks / Cole, 2001

D: S.C. Chapra: Applied Numerical Metods with Matlab for Engineers and Scientists, McGraw Hill, 2008

D: WIKIBOOK: MATLAB Programming, https://en.wikibooks.org/wiki/MATLAB_Programming, 2018

Learning resources -
Last update: Procházka Aleš prof. Ing. CSc. (31.08.2015)

http://uprt.vscht.cz/prochazka/pedag/lectures/SP0_MATLAB_2006EN.pdf

Teaching methods -
Last update: Procházka Aleš prof. Ing. CSc. (05.01.2018)

Lectures and practical verification of proposed algorithms in the computer laboratory.

Requirements to the exam -
Last update: Procházka Aleš prof. Ing. CSc. (05.01.2018)

Participation on the final colloquium with the presentation and discussion of a selected research topic.

Syllabus -
Last update: Procházka Aleš prof. Ing. CSc. (05.01.2018)

1. Computational and visualization system MATLAB, algorithmic and programming tools

2. Functions, object graphics, data structures, symbolic mathematics in MATLAB

3. Block oriented computational tools, modelling in the SIMULINK environment

4. Numeric a symbolic methods of linear algebra

5. Linear and nonlinear approximation of functions, the least square method, gradient methods

6. Solution of nonlinear equations and their systems

7. Numeric and symbolic methods of interpolation, derivation and integration

8. Solution of differencial equations

9. The boundary method and the shooting method for solution of differential equations

10. Computational intelligence in data analysis

11. The use of computational methods for processing of engineering and biomedical signals

12: CASE STUDY 1: Aproximation and statistical analysis in data processing

13: CASE STUDY 2: Solution of nonlinear equations

14: CASE STUDY 3: Modeling in the block oriented SIMULINK environment

Entry requirements -
Last update: Procházka Aleš prof. Ing. CSc. (05.01.2018)

Fundamentals of computer intelligence

Registration requirements -
Last update: Procházka Aleš prof. Ing. CSc. (31.08.2015)

Mathematics 1, 2

Course completion requirements -
Last update: Procházka Aleš prof. Ing. CSc. (05.01.2018)

Úspěšné absolvování závěrečného kolokvia s presentací a diskusí vybraného odborného tématu.

 
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