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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.
Last update: Procházka Aleš (05.01.2018)
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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 Last update: Procházka Aleš (05.01.2018)
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Numerical and statistical methods, data processing, symbolic mathematics, algorithms, MATLAB programming, visualization Last update: Procházka Aleš (05.01.2018)
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Úspěšné absolvování závěrečného kolokvia s presentací a diskusí vybraného odborného tématu. Last update: Procházka Aleš (05.01.2018)
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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 Last update: Procházka Aleš (05.01.2018)
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Lectures and practical verification of proposed algorithms in the computer laboratory. Last update: Procházka Aleš (05.01.2018)
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Participation on the final colloquium with the presentation and discussion of a selected research topic. Last update: Procházka Aleš (05.01.2018)
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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 Last update: Procházka Aleš (05.01.2018)
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http://uprt.vscht.cz/prochazka/pedag/lectures/SP0_MATLAB_2006EN.pdf Last update: Procházka Aleš (31.08.2015)
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Fundamentals of computer intelligence Last update: Procházka Aleš (05.01.2018)
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Mathematics 1, 2 Last update: Procházka Aleš (31.08.2015)
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