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Lecturer(s)
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Course content
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Errors in numerical calculations. Computer representation of numbers, rounding-off. Methods for solving a system of linear equations, Gauss elimination algorithm and its modification, LU decomposition. Method of iteration for systems of linear equations, inversion matrix. Eigen values and eigenvectors of the square matrix, singular value decomposition. Methods for solving of nonlinear equation: isolation and approximation of the roots. Graphic methods, bisection method, simple iterative method. Newton method. Regula falsi method. Methods for solving of a system of non-linear equations, simple iterative method. Approximation methods: interpolation. Least squares methods. Numerical integration. Numerical derivation.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Methods of individual activities
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Learning outcomes
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The student will be introduced to some of the approximate and numerical methods used in technical calculations using the Matlab tool.
Graduate can explore basic numerical method and suggest their application.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Oral examination, Written examination
Giving a credit confirms that a student has attended the lessons to the extent required and fulfilled all the qualified requirements. Conditions for obtaining a credit will be provided by the lecturer. Format, content and length of the exam are determined in accordance with the Study and Examination Rules of the University of Pardubice.
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Recommended literature
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Atkinson, Kendall E.. Elementary numerical analysis. Hoboken: John Wiley & Sons, 2004. ISBN 0-471-43337-3.
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Duffy, Dean G. Advanced engineering mathematics with MATLAB. Boca Raton: CRC Press, 2011. ISBN 978-1-4398-1624-0.
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Harman, L.H., Dabney, J.B., Richert, N.J. Advanced engineering mathematics with Matlab. 2000. ISBN ISBN: 978-0-534-3.
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Chapra, C. Ch., Canale, P. Numerical Methods for Engineers. Mc-Graw Hill, 2006. ISBN 007-124429-8.
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Mathews, J. H., Kurtis, J. H., Kurtis, K. F. Numerical Methods Using Matlab. Prentice-Hall, 2004. ISBN 0-13-065248-2.
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