310-2200/02 – Numerical Methods with Matlab (NMsM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits5
Subject guarantorMgr. Zuzana Morávková, Ph.D.Subject version guarantorMgr. Zuzana Morávková, Ph.D.
Study levelundergraduate or graduateRequirementOptional
YearSemestersummer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFMTIntended for study typesFollow-up Master, Bachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
MOR74 Mgr. Zuzana Morávková, Ph.D.
Extent of instruction for forms of study
Form of studyWay 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

Písemky.

E-learning

Other requirements

Homework, test, exam.

Prerequisities

Subject codeAbbreviationTitleRequirement
310-2211 M I Mathematics I Recommended
310-2212 M II Mathematics II Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 20  5
        Examination Examination 80  25
Mandatory attendence parzicipation: Lessons are obligatory, 20% absence can be excused.

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava Optional study plan
2020/2021 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava Optional study plan
2020/2021 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava Optional study plan
2019/2020 (N3909) Process Engineering (2805T019) Chemical and environmental engineering P Czech Ostrava Optional study plan
2019/2020 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava Optional study plan
2019/2020 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner