Course: Numerical Methods

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Course title Numerical Methods
Course code KID/PNUMK
Organizational form of instruction Lecture
Level of course Master
Year of study 1
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Kulička Jiří, Mgr. Ph.D.
Course content
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.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming), Methods of individual activities
Learning outcomes
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.
Prerequisites
unspecified

Assessment methods and criteria
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.
Recommended literature
  • Atkinson, Kendall E.. Elementary numerical analysis. Hoboken: John Wiley & Sons, 2004. ISBN 0-471-43337-3.
  • Duffy, Dean G. Advanced engineering mathematics with MATLAB. Boca Raton: CRC Press, 2011. ISBN 978-1-4398-1624-0.
  • Harman, L.H., Dabney, J.B., Richert, N.J. Advanced engineering mathematics with Matlab. 2000. ISBN ISBN: 978-0-534-3.
  • Chapra, C. Ch., Canale, P. Numerical Methods for Engineers. Mc-Graw Hill, 2006. ISBN 007-124429-8.
  • Mathews, J. H., Kurtis, J. H., Kurtis, K. F. Numerical Methods Using Matlab. Prentice-Hall, 2004. ISBN 0-13-065248-2.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Rail Vehicles (2016) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means: Road Vehicles (2016) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Winter