Subject description - BE1M15IAP
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Explanatory Notes
Instructions
| 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 systemsCourse 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:| 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) |