| Course Unit Code | 470-2502/01 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Optional |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| HOR33 | doc. Ing. David Horák, Ph.D. |
| VLA04 | Ing. Oldřich Vlach, Ph.D. |
| Summary |
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| Subject of lectures is description of basic numerical methods which are used for solution of problems in engineering. |
| Learning Outcomes of the Course Unit |
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| 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. |
| Course Contents |
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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.
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| Recommended or Required Reading |
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| Required Reading: |
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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.
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Míka, S.: Numerické metody algebry. SNTL Praha, 1982.
Přikryl, P.: Numerické metody matematické analýzy. SNTL Praha, 1985.
Vitásek, E.: Numerické metody. SNTL Praha, 1987.
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| Recommended Reading: |
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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.
|
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.
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| Planned learning activities and teaching methods |
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| Lectures, Tutorials, Project work |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| 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 |