470-2502/01 – Numerical Methods with Matlab (NMM)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantordoc. Ing. Dalibor Lukáš, Ph.D.Subject version guarantordoc. Ing. Dalibor Lukáš, Ph.D.
Study levelundergraduate or graduate
Study languageCzech
Year of introduction2010/2011Year of cancellation
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
CER365 doc. Ing. Martin Čermák, Ph.D.
HOR33 doc. Ing. David Horák, Ph.D.
KRU0097 Ing. Jakub Kružík
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 10+10

Subject aims expressed by acquired skills and competences

Advanced concepts towards solution to engineering problems are signal analysis, or numerical solution of differential equations to name a few. In this course, the students get more involved into numerical methods using Matlab.

Teaching methods

Lectures
Tutorials
Project work

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:

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.

Way of continuous check of knowledge in the course of semester

Conditions for credit: Project (minimum 15 points).

E-learning

Další požadavky na studenta

No additional requirements are imposed on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Topics: 1. Introduction to Matlab. 2. Data fiting - Lagrange and Chebyshev interpolation, least-square method, polygonal regression, fast Fourier transform. 3. Numerical integration - Newton-Cotes, Gauss-Legendre, and Gauss-Hermite formula. 4. Iterative methods for nonlinear equations - bisection, fixed point iterations, Newton method. 5. Numerical solution of ordinary differential equations - one-step Euler and Crank-Nicholson methods, multi-step Runge-Kutta methods, predictor-corrector, Galerkin, and parareal methods.

Conditions for subject completion

Full-time form (validity from: 2010/2011 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30 (30) 15
                Test z NMM Written test 10  0
                Semestrální projekt Project 20  0
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history
Combined form (validity from: 2010/2011 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 30 (30) 15
                Test z NMM Written test 10  0
                Semestrální projekt Project 20  0
        Examination Examination 70  21
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

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2019/2020 (B0714A150001) Control and Information Systems P Czech Ostrava 2 Optional study plan
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2019/2020 (B0713A060004) Design of Electrical Systems and Technologies P Czech Ostrava 2 Optional study plan
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2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Optional study plan
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2018/2019 (B2648) Designing of Electric Devices P Czech Ostrava 2 Optional study plan
2018/2019 (B2648) Designing of Electric Devices K Czech Ostrava 2 Optional study plan
2018/2019 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Optional study plan
2018/2019 (B2649) Electrical Engineering (2612R003) Applied Electronics K Czech Ostrava 2 Optional study plan
2018/2019 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Optional study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Optional study plan
2017/2018 (B2649) Electrical Engineering (2612R041) Control and Information Systems K Czech Ostrava 2 Optional study plan
2017/2018 (B2649) Electrical Engineering (2612R003) Applied Electronics P Czech Ostrava 2 Optional study plan
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2016/2017 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Optional study plan
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2015/2016 (B2648) Designing of Electric Devices P Czech Ostrava 2 Optional study plan
2015/2016 (B2648) Designing of Electric Devices K Czech Ostrava 2 Optional study plan
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2015/2016 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Optional study plan
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2014/2015 (B2649) Electrical Engineering (2612R041) Control and Information Systems P Czech Ostrava 2 Optional study plan
2014/2015 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Optional study plan
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2014/2015 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Optional study plan
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2014/2015 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 2 Optional study plan
2014/2015 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Optional study plan
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2012/2013 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Optional study plan
2012/2013 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Optional study plan
2012/2013 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 2 Optional study plan
2012/2013 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Optional study plan
2012/2013 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 2 Optional study plan
2012/2013 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Optional study plan
2011/2012 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Optional study plan
2011/2012 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Optional study plan
2011/2012 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 2 Optional study plan
2011/2012 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Optional study plan
2011/2012 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics K Czech Ostrava 2 Optional study plan
2011/2012 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Optional study plan
2011/2012 (B2648) Designing of Electric Devices P Czech Ostrava 2 Optional study plan
2011/2012 (B2648) Designing of Electric Devices K Czech Ostrava 2 Optional study plan
2010/2011 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering P Czech Ostrava 2 Optional study plan
2010/2011 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering P Czech Ostrava 2 Optional study plan
2010/2011 (B2649) Electrical Engineering (2602R014) Applied and Commercial Electronics P Czech Ostrava 2 Optional study plan
2010/2011 (B2649) Electrical Engineering (2601R004) Measurement and Control Engineering K Czech Ostrava 2 Optional study plan
2010/2011 (B2649) Electrical Engineering (3907R001) Electrical Power Engineering K Czech Ostrava 2 Optional study plan
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Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner