714-0386/05 – Numerical Mathematics (NM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantorMgr. Zuzana Morávková, Ph.D.Subject version guarantorMgr. Zuzana Morávková, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semestersummer
Study languageEnglish
Year of introduction2016/2017Year of cancellation2018/2019
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
KUC14 prof. RNDr. Radek Kučera, Ph.D.
MOR74 Mgr. Zuzana Morávková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 2+2

Subject aims expressed by acquired skills and competences

The aim of this course is to acquaint students with the numerical solution of mathematical problems that arise in the other courses of their study and in the technical practice. The main accent lays in explanations of fundamental principles of numerical methods with emphases their general properties. It should lead to the ability in concrete situations to decide whether a numerical procedure is a suitable tool for solving a particular problem. An important ingredient of the course consists in the algorithmic implementation of methods and in the utilization of existing computer programs specialized for numerical computations. The graduate of this course should know: • to recognize problems suitable for solving by numerical procedures and to find an appropriate numerical method; • to decide whether the computed solution is sufficiently accurate and, in case of need, to assess reasons of inaccuracies; • to propose an algorithmic procedure for solving the problem and to choice a suitable computer environment for its realization.

Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

Summary

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.

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

Další požadavky na studenta

Students have to know lessons Math I and Math II.

Prerequisities

Subject codeAbbreviationTitleRequirement
714-0366 MI Mathematics I Recommended
714-0367 MII Mathematics II Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Introduction (precisions, methods) 2. Roots finding (bisection method, Newton's .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: 2016/2017 Winter semester, validity until: 2018/2019 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Graded credit Graded credit 100  51
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2018/2019 (B2341) Engineering (3902R001) Applied Informatics and Control P English Ostrava 3 Compulsory study plan
2018/2019 (B2341) Engineering (3901R003) Applied Mechanics P English Ostrava 3 Compulsory study plan
2018/2019 (B2341) Engineering (3907R009) Operation of Energy Equipment P English Ostrava 3 Compulsory study plan
2018/2019 (B2341) Engineering (2303R002) Mechanical Engineering Technology P English Ostrava 3 Compulsory study plan
2018/2019 (B2341) Engineering (2301R013) Robotics P English Ostrava 3 Compulsory study plan
2017/2018 (B2341) Engineering (2301R013) Robotics P English Ostrava 3 Compulsory study plan
2017/2018 (B2341) Engineering (2303R002) Mechanical Engineering Technology P English Ostrava 3 Compulsory study plan
2017/2018 (B2341) Engineering (3901R003) Applied Mechanics P English Ostrava 3 Compulsory study plan
2017/2018 (B2341) Engineering (3902R001) Applied Informatics and Control P English Ostrava 3 Compulsory study plan
2017/2018 (B2341) Engineering (3907R009) Operation of Energy Equipment P English Ostrava 3 Compulsory study plan
2016/2017 (B2341) Engineering (2301R013) Robotics P English Ostrava 3 Compulsory study plan
2016/2017 (B2341) Engineering (2303R002) Mechanical Engineering Technology P English Ostrava 3 Compulsory study plan
2016/2017 (B2341) Engineering (3901R003) Applied Mechanics P English Ostrava 3 Compulsory study plan
2016/2017 (B2341) Engineering (3902R001) Applied Informatics and Control P English Ostrava 3 Compulsory study plan
2016/2017 (B2341) Engineering (3907R009) Operation of Energy Equipment P English Ostrava 3 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner