310-2130/01 – Numerical Mathematics (NM)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantorMgr. Ivona Tomečková, Ph.D.Subject version guarantorMgr. Ivona Tomečková, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semestersummer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
JAH0037 Mgr. Monika Jahodová, Ph.D.
KRC76 Mgr. Jiří Krček
KUC14 prof. RNDr. Radek Kučera, Ph.D.
OTI73 Mgr. Petr Otipka, Ph.D.
SVO19 Mgr. Ivona Tomečková, 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:

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

Recommended literature:

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

Additional study materials

Way of continuous check of knowledge in the course of semester

Písemné testy praktická část (minimálně 45 bodů z 80) Písemné testy teoretická část (minimálně 6 bodů z 20) Účast ve cvičení min. 80%

E-learning

Other requirements

Students have to know lessons Math I and Math II.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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

Conditions for subject completion

Full-time form (validity from: 2022/2023 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Graded credit Graded credit 100 (100) 51 3
        Praktická část Written test 80  45 2
        Teoretická část Written test 20  5 2
Mandatory attendence participation: Lessons are obligatory, 20% absence can be excused.

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Conditions for subject completion and attendance at the exercises within ISP: Compulsory participation in tests, participation in exercises can be replaced by solving homework.

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 3 Compulsory study plan
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2024/2025 (B1088A040001) Operation and management of air transport (S01) Air Transport Technology and Management P Czech Ostrava 3 Compulsory study plan
2024/2025 (B1088A040001) Operation and management of air transport (S02) Aviation Operation Management P Czech Ostrava 3 Compulsory study plan
2023/2024 (B0713A070002) Energetics and Environments P Czech Ostrava 3 Compulsory study plan
2023/2024 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 3 Compulsory study plan
2023/2024 (B0715A270011) Engineering P Czech Ostrava 3 Compulsory study plan
2023/2024 (B0715A270011) Engineering P Czech Šumperk 3 Compulsory study plan
2023/2024 (B1088A040001) Operation and management of air transport (S02) Aviation Operation Management P Czech Ostrava 3 Compulsory study plan
2023/2024 (B1088A040001) Operation and management of air transport (S01) Air Transport Technology and Management P Czech Ostrava 3 Compulsory study plan
2022/2023 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 3 Compulsory study plan
2022/2023 (B0713A070002) Energetics and Environments P Czech Ostrava 3 Compulsory study plan
2022/2023 (B0715A270011) Engineering P Czech Ostrava 3 Compulsory study plan
2022/2023 (B0715A270011) Engineering P Czech Šumperk 3 Compulsory study plan
2022/2023 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (2301R013) Robotics P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (2302R007) Hydraulics and Pneumatics P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (2303R002) Mechanical Engineering Technology P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (3902R001) Applied Informatics and Control P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (3904R016) Environmental Engineering P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (3907R009) Operation of Energy Equipment P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (2302R010) Design of Machines and Equipment (21) Design of Production Machines and Equipment P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (2302R010) Design of Machines and Equipment (40) Design of Machines and Equipment P Czech Ostrava 3 Compulsory study plan
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2022/2023 (B2341) Engineering (2302R010) Design of Machines and Equipment (70) Earth, Mining and Building Machines P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management P Czech Ostrava 3 Compulsory study plan
2022/2023 (B2341) Engineering (2301R040) Industrial Engineering P Czech Ostrava 3 Compulsory study plan
2022/2023 (B1088A040001) Operation and management of air transport (S01) Air Transport Technology and Management P Czech Ostrava 3 Compulsory study plan
2022/2023 (B1088A040001) Operation and management of air transport (S02) Aviation Operation Management P Czech Ostrava 3 Compulsory study plan
2021/2022 (B0715A270011) Engineering P Czech Ostrava 3 Compulsory study plan
2021/2022 (B0715A270011) Engineering P Czech Šumperk 3 Compulsory study plan
2021/2022 (B0713A070002) Energetics and Environments P Czech Ostrava 3 Compulsory study plan
2021/2022 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2301R013) Robotics P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2301R040) Industrial Engineering P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2302R007) Hydraulics and Pneumatics P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2303R002) Mechanical Engineering Technology P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (3902R001) Applied Informatics and Control P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (3904R016) Environmental Engineering P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (3907R009) Operation of Energy Equipment P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2302R010) Design of Machines and Equipment (21) Design of Production Machines and Equipment P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2302R010) Design of Machines and Equipment (40) Design of Machines and Equipment P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2302R010) Design of Machines and Equipment (60) Design of industrial products P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2302R010) Design of Machines and Equipment (70) Earth, Mining and Building Machines P Czech Ostrava 3 Compulsory study plan
2021/2022 (B2341) Engineering (2303R002) Mechanical Engineering Technology P Czech Šumperk 3 Compulsory study plan
2020/2021 (B0715A270011) Engineering P Czech Ostrava 3 Compulsory study plan
2020/2021 (B0715A270011) Engineering P Czech Šumperk 3 Compulsory study plan
2020/2021 (B0713A070002) Energetics and Environments P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (3902R001) Applied Informatics and Control P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2302R010) Design of Machines and Equipment (21) Design of Production Machines and Equipment P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2302R010) Design of Machines and Equipment (40) Design of Machines and Equipment P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2302R010) Design of Machines and Equipment (60) Design of industrial products P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2302R010) Design of Machines and Equipment (70) Earth, Mining and Building Machines P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (3907R009) Operation of Energy Equipment P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (3904R016) Environmental Engineering P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2301R040) Industrial Engineering P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2303R002) Mechanical Engineering Technology P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2303R002) Mechanical Engineering Technology P Czech Šumperk 3 Compulsory study plan
2020/2021 (B2341) Engineering (2301R013) Robotics P Czech Ostrava 3 Compulsory study plan
2020/2021 (B2341) Engineering (2302R007) Hydraulics and Pneumatics P Czech Ostrava 3 Compulsory study plan
2020/2021 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (3902R001) Applied Informatics and Control P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2302R003) Transport Machinery and Material Handling P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (3901R003) Applied Mechanics P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2302R007) Hydraulics and Pneumatics P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2302R010) Design of Machines and Equipment (21) Design of Production Machines and Equipment P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2302R010) Design of Machines and Equipment (40) Design of Machines and Equipment P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2302R010) Design of Machines and Equipment (60) Design of industrial products P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2302R010) Design of Machines and Equipment (70) Earth, Mining and Building Machines P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (3907R009) Operation of Energy Equipment P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (3904R016) Environmental Engineering P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2301R013) Robotics P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2301R023) Technical Diagnostics, Service and Management P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2301R040) Industrial Engineering P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2303R002) Mechanical Engineering Technology P Czech Ostrava 3 Compulsory study plan
2019/2020 (B2341) Engineering (2303R002) Mechanical Engineering Technology P Czech Šumperk 3 Compulsory study plan
2019/2020 (B0713A070002) Energetics and Environments P Czech Ostrava 3 Compulsory study plan
2019/2020 (B0715A270011) Engineering P Czech Ostrava 3 Compulsory study plan
2019/2020 (B0715A270011) Engineering P Czech Šumperk 3 Compulsory study plan
2019/2020 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 3 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2023/2024 Summer
2022/2023 Summer
2021/2022 Summer
2020/2021 Summer
2019/2020 Summer