Subject description - BE1M15IAP

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BE1M15IAP Engineering Applications Extent of teaching:2P+2C
Guarantors:  Roles:P Language of
teaching:
EN
Teachers:Kyncl J., Musil L. Completion:Z,ZK
Responsible Department:13115 Credits:5 Semester:Z

Anotation:

The aim of the course is to get an overview of solving basic mathematical problems occurring in engineering practice using computer algebra systems

Course outlines:

1. Analytical and numerical solutions of technical problems, electrical engineering examples
2. Eigenvalues and eigenvectors of matrices and the stability of dynamic linear systems
3. Finite and numerical solution of systems lin. equations, examples of electrical circuits, linear transformations
4. Free and constrained extremes of functions, overview of methods
5. Use optimization methods for the design of power devices
6. Overdetermined lin. equations, interpolation, regression
7. Examples of signal processing, Fourier series
8. Numerical quadrature (example of the determination of energy from time dependence of the power, basic numer. Methods for solving ODE)
9. Basic tasks using PDE in heavy power engineering, boundary and initial conditions (heat and diffusion equation, electromagnetic. field equations), Schmidt's method for parabolic equations
10. Weak solutions of PDE, Galerkin method, the use of FEM
11. Statistics and probability in technical tasks
12. Reliability assessment of basic arrangements
13. Correspondence of different task types, frequently used functions for approximation
14. Reserve

Exercises outline:

1. Analytical and numerical solutions of technical problems, electrical engineering examples
2. Eigenvalues and eigenvectors of matrices and the stability of dynamic linear systems
3. Finite and numerical solution of systems lin. equations, examples of electrical circuits, linear transformations
4. Free and constrained extremes of functions, overview of methods
5. Use optimization methods for the design of power devices
6. Overdetermined lin. equations, interpolation, regression
7. Examples of signal processing, Fourier series
8. Numerical quadrature (example of the determination of energy from time dependence of the power, basic numer. Methods for solving ODE)
9. Basic tasks using PDE in heavy power engineering, boundary and initial conditions (heat and diffusion equation, electromagnetic. field equations), Schmidt's method for parabolic equations
10. Weak solutions of PDE, Galerkin method, the use of FEM
11. Statistics and probability in technical tasks
12. Reliability assessment of basic arrangements
13. Correspondence of different task types, frequently used functions for approximation
14. Reserve

Literature:

DUBIN, Daniel H. Numerical and analytical methods for scientists and engineers using mathematica. Hoboken, N.J.: Wiley-Interscience, 2003, xvi, 633 p. ISBN 0471266108. Esfandiari, R.S.: Numerical Methods for Engineers and Scientists Using MATLAB?, Second Edition. CRC Press, NY 2017.

Requirements:

Condition for obtaining assessment is participation in seminars and semester thesis elaboration. Passing the exam is given by the Study and Examination Code for Students of the Czech Technical University in Prague.

Webpage:

http://www.powerwiki.cz/wiki/Vyuka

Subject is included into these academic programs:

Program Branch Role Recommended semester
CHYBNY_01 Technological Systems P 1
MEEEM3_2016 Electrical Power Engineering P 1
MEEEM2_2016 Electrical Machines, Apparatus and Drives P 1
MEEEM1_2016 Technological Systems P 1
MEEEM2_2018 Electrical Power Engineering P 1
MEEEM1_2018 Electrical Drives P 1
MEEEM4_2018 Management of Power Engineering and Electrotechnics P 1
MEEEM3_2018 Technological Systems P 1


Page updated 5.12.2019 17:52:22, semester: Z,L/2020-1, L/2018-9, Z,L/2019-20, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)