| Course Unit Code | 638-3015/02 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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| Name of Lecturer(s) | Personal ID | Name |
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| DAV47 | doc. Ing. Jiří David, Ph.D. |
| FRI05 | doc. Ing. Robert Frischer, Ph.D. |
| GRY0035 | Ing. Ondřej Grycz, Ph.D. |
| Summary |
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347/5000
Objective of the course in terms of learning outcomes and competences The course is focused on acquiring a basic set of knowledge about the principles of mathematical methods of computer data processing in the solution of engineering calculations. Emphasis is placed on gaining practical experience with the use of the discussed methods, estimation of the errors of the result and demonstration of their properties in solving engineering problems using the Matlab program. |
| Learning Outcomes of the Course Unit |
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The student will be able to interpret the concepts and principles of mathematical methods and numerical calculations using the Matlab software system in data processing in the field of engineering tasks.
He will have an overview of the methods and tools of computerized data processing in the design of materials and means for the automotive industry.
He will be able to apply selected methods and tools of computer data processing in solving practically oriented problems of practice using the Matlab environment.
It will be able to implement principles and methods in the processes and activities of industrial organizations. |
| Course Contents |
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1. Engineering tables and calculations
2. Problems errors, compliance and stability calculations.
3. Methods for solving nonlinear equations.
4. Direct methods for solving linear equations. Eigenvalues and vectors, their numerical calculation.
5. Iterative methods for solving linear equations.
6. Approximation of functions, least squares method
7. The interpolation function
8. Increasing the accuracy of calculations extrapolating
9. Complex tasks using analytical tools
10. Numerical calculation of integrals and derivatives
11. Linear Programming
12. Nonlinear Programming
13. The step methods for solving initial value problems for ordinary differential equations. Multistep methods.
14. Ordinary Differential Equations - initial value problems and boundary value problems.
15. The system of differential equations |
| Recommended or Required Reading |
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| Required Reading: |
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MOLER, C. B. Numerical Computing with Matlab. Philadelphia: Society for Industrial and Applied Mathematics, 2004. ISBN: 978-0898715606
CHAPRA, S. C. Applied Numerical Methods W/MATLAB: for Engineers & Scientists. Columbus: McGraw-Hill Education; 2011. ISBN: 978-0073401102
DASGUPTA, S. , CH. H. PAPADIMITRIOU a U. VAZIRANI. Algorithms. Columbus: McGraw-Hill Education; 2006. ISBN: 978-0073523408
ALFIO, Q. Scientific Computing with MATLAB and Octave. Berlin: Springer, 2014. ISBN: 978-3642124297.
LEADER, J. J. Numerical Analysis and Scientific Computation. London: Pearson. 2004. ISBN: 978-0201734997. |
DAVID, J. Matematické metody počítačového zpracování dat. Ostrava: VŠB-TU Ostrava, 2017.
KUBÍČEK, M., M. DUBCOVÁ a D. JANOVSKÁ. Numerické metody a algoritmy. Praha: VŠCHT Praha, 2008. ISBN: 9788070805589.
MOLER, C. B. Numerical Computing with Matlab. Philadelphia: Society for Industrial and Applied Mathematics, 2004. ISBN: 978-0898715606
CHAPRA, S. C. Applied Numerical Methods W/MATLAB: for Engineers & Scientists. Columbus: McGraw-Hill Education; 2011. ISBN: 978-0073401102
DASGUPTA, S. , CH. H. PAPADIMITRIOU a U. VAZIRANI. Algorithms. Columbus: McGraw-Hill Education; 2006. ISBN: 978-0073523408
ALFIO, Q. Scientific Computing with MATLAB and Octave. Berlin: Springer, 2014. ISBN: 978-3642124297.
LEADER, J. J. Numerical Analysis and Scientific Computation. London: Pearson. 2004. ISBN: 978-0201734997. |
| Recommended Reading: |
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KIUSALAAS, J. Numerical Methods in Engineering with MATLAB. Cambridge: Cambridge University Press, 2015. ISBN: 9781107120570.
CHARTIER, T. P. a A. GREENBAUM. Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms. Princeton :Princeton University Press. 2012. ISBN: 978-0691151229.
WITTEN, I. H., E. FRANK a M. A. HALL. Data Mining: Practical Machine Learning Tools and Techniques: Practical Machine Learning Tools and Techniques. Elsevier, 2011. ISBN 0080890369.
TAN, P. N. Introduction To Data Mining. Pearson Education, 2007. ISBN 8131714721.
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DOŇAR, B. a K. ZAPLATÍLEK MATLAB - tvorba uživatelských aplikací. Praha: BEN - technická literatura, 2004. ISBN: 9788073001339.
SOJKA, Z., K. RAIS a P. DOSTÁL. Pokročilé metody manažerského rozhodování. Praha: GRADA, 2005. ISBN: 80-247-1338-1.
KIUSALAAS, J. Numerical Methods in Engineering with MATLAB. Cambridge: Cambridge University Press, 2015. ISBN: 9781107120570.
CHARTIER, T. P. a A. GREENBAUM. Numerical Methods: Design, Analysis, and Computer Implementation of Algorithms. Princeton :Princeton University Press. 2012. ISBN: 978-0691151229.
WITTEN, I. H., E. FRANK a M. A. HALL. Data Mining: Practical Machine Learning Tools and Techniques: Practical Machine Learning Tools and Techniques. London: Elsevier, 2011. ISBN 0080890369.
TAN, P. N. Introduction To Data Mining. New Jersey: Pearson Education, 2007. ISBN 8131714721.
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| Planned learning activities and teaching methods |
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| Lectures, Tutorials, Project work |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 35 | 20 |
| Examination | Examination | 65 | 16 |