457-0518/01 – Numerical methods (NM)

Gurantor department	Department of Applied Mathematics	Credits	4
Subject guarantor	doc. Mgr. Vít Vondrák, Ph.D.	Subject version guarantor	doc. Mgr. Vít Vondrák, Ph.D.
Study level	undergraduate or graduate	Requirement	Compulsory
Year	1	Semester	winter
		Study language	Czech
Year of introduction	2003/2004	Year of cancellation	2009/2010
Intended for the faculties	FEI	Intended for study types	Bachelor

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

Subject aims expressed by acquired skills and competences

The main aim of the course is to introduce the basic numerical algorithms to students. Students should be able to solve engineering problems using apropriate numerical method.Theoretical knowledge represented by error analysis and analysis of stability should help to select appropriate method from wide range of commercial and noncommercial libraries or to implement a new method.

Teaching methods

Lectures
Tutorials

Summary

Subject of lectures is description of basic numerical methods which are used for solution of problems in engineering.

Compulsory literature:

Quarteroni A., Sacco R., Saleri F.: Numerical mathematics, Springer, 2007 Press, W.H., Flannery, B.P., Teukolski, S.A., Vetterling, W.T.: Numerical Recipes in C. Cambridge University Press, Cambridge 1990.

Recommended literature:

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Prerequisities

Subject code	Abbreviation	Title	Requirement
457-0510	LA1	Linear Algebra	Recommended
457-0511	MA 1	Mathematical Analysis I	Recommended
457-0512	MA2	Mathematical analysis II	Recommended
457-0525	LAIT	Linear Algebra for IT	Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Chyby v numerických výpočtech 2. Řešení soustav nelineárních rovnic: věta o pevném bodě, Newtonova metoda 3. Iterační řešení soustav lineárních rovnic 4. Hledání vlastních čísel a vlastních vektorů matic 5. Interpolace: polynomiální, trigonometrická, splajny 6. Aproximace: metoda nejmenších čtverců, Čebyševova 7. Numerická derivace a kvadratura 8. Numerické řešení počátečních úloh pro obyčejné diferenciální rovnice

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Exercises evaluation and Examination	Credit and Examination	100 (145)	51	3
Examination	Examination	100	0	3
Exercises evaluation	Credit	45	0	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	Year	Type of duty
2004/2005	(B2646) Information Technology	(1103R021) Computation Mathematics	P	Czech	Ostrava	3	Compulsory	study plan
2004/2005	(B2646) Information Technology	(1103R021) Computation Mathematics	K	Czech	Ostrava	3	Compulsory	study plan
2003/2004	(B2646) Information Technology	(1103R021) Computation Mathematics	P	Czech	Ostrava	3	Compulsory	study plan
2003/2004	(N2646) Information Technology	(1103T021) Computational Mathematics	P	Czech	Ostrava	1	Compulsory	study plan
2003/2004	(B2646) Information Technology	(1103R021) Computation Mathematics	K	Czech	Ostrava	3	Compulsory	study plan
2003/2004	(N2646) Information Technology	(1103T021) Computational Mathematics	K	Czech	Ostrava	1	Compulsory	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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