714-0005/02 – Numerical Methods with Matlab (NMsM)

Gurantor department	Department of Mathematics and Descriptive Geometry	Credits	5
Subject guarantor	Mgr. Zuzana Morávková, Ph.D.	Subject version guarantor	Mgr. Zuzana Morávková, Ph.D.
Study level	undergraduate or graduate	Requirement	Optional
Year		Semester	summer
		Study language	Czech
Year of introduction	2018/2019	Year of cancellation	2018/2019
Intended for the faculties	FMT	Intended for study types	Bachelor, Follow-up Master

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
MOR74	Mgr. Zuzana Morávková, Ph.D.

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Full-time	Credit and Examination	2+3

Subject aims expressed by acquired skills and competences

The course is devoted to basic numerical methods of the linear algebra and mathematical analysis: iterative methods for solving of nonlinear equations, direct and iterative methods for solving of linear systems, eigenvalue problems, interpolation and approximation of functions, numerical computation of derivatives and integrals, solving of ordinary differential equations. The programming system Matlab is used during the course.

Teaching methods

Lectures
Tutorials

Summary

Compulsory literature:

[1] Boháč, Z.: Numerical Methods and Statistics. VŠB-TU Ostrava, 2005. ISBN 80-248-0803-X

Recommended literature:

[1] Qaurteroni, A., Sacco, R., Saleri, F.: Numerical Mathematics. Springer, 2007, ISBN 978-3-540-34658-6. [2] Süli, E., Mayers, D.: An introduction to Numerical Analysis. Cambridge University Press, 2003, ISBN 0-521-00794-1. [3] Van Loan, C. F.: Introduction to scientific computing. Prentice Hall, Upper Saddle River, NJ 07459, 1999, ISBN-13: 9780139491573.

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Homework, test, exam.

Prerequisities

Subject code	Abbreviation	Title	Requirement
714-2665	M I	Mathematics I	Recommended
714-2666	M II	Mathematics II	Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

English: 1. Introduction (precisions, methods) 2. Roots finding (bisection method, Newton method) 3. Linear solver (Lu-factorization) 4. Iteratice methods for linear equations 5. Interpolation and splines 6. Least square method 7. Numerical intergrations 8. ODE solver

Conditions for subject completion

Full-time form (validity from: 2018/2019 Summer semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Credit and Examination	Credit and Examination	100 (100)	51
Credit	Credit	20	5
Examination	Examination	80	30	3

Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic year	Programme	Branch/spec.	Form	Study language	Tut. centre	Type of duty
2018/2019	(N3909) Process Engineering	(2805T019) Chemical and environmental engineering	P	Czech	Ostrava	Optional	study plan
2018/2019	(B3909) Process Engineering	(3909R014) Process Engineering and Quality Control Methods	P	Czech	Ostrava	Optional	study plan
2018/2019	(B3909) Process Engineering	(2805R002) Chemistry and Technology of Environmental Protection	P	Czech	Ostrava	Optional	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

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