SylabUZ
Nazwa przedmiotu | Numerical methods |
Kod przedmiotu | 11.9-WE-INFD-NumMet-Er |
Wydział | Wydział Informatyki, Elektrotechniki i Automatyki |
Kierunek | Informatyka |
Profil | ogólnoakademicki |
Rodzaj studiów | Program Erasmus drugiego stopnia |
Semestr rozpoczęcia | semestr zimowy 2020/2021 |
Semestr | 1 |
Liczba punktów ECTS do zdobycia | 4 |
Typ przedmiotu | obowiązkowy |
Język nauczania | angielski |
Sylabus opracował |
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Forma zajęć | Liczba godzin w semestrze (stacjonarne) | Liczba godzin w tygodniu (stacjonarne) | Liczba godzin w semestrze (niestacjonarne) | Liczba godzin w tygodniu (niestacjonarne) | Forma zaliczenia |
Wykład | 15 | 1 | - | - | Zaliczenie na ocenę |
Laboratorium | 30 | 2 | - | - | Zaliczenie na ocenę |
-to familarize students with basic numerical algorithms for solving most frequently appearing in the professional activity computational problems
-to introduce students to work within Matlab environement and similar on - engineers oriented packages
Foundations of calculus and linear algebra ,programming foundations
Float-point arithmetics :arithmetic-conversions, float-point representations,standards od single- and double- precisions formats, classification of numerical errors, numerical instabilities and badly numerically conditioned problems
Linear Algebra problems :linear systems of equations,Gauss elimination methods , iterative methods of Jacobi and Gauss -Seidel.Unstable linear systems , numerical conditiong of systems.
Nonlinear equations case :scalar equations , bisection algoritms and its acceleration by Newton , Newton algorithm, fixed-point algorithms .Newton algorithm for systems of equations.Applications to nonlinear optimalisation problems.
Interpolation:polynomial interpolation methods : Lagrange formula and Newton method , cubic splines techniques.Applications to numerical integration- Newton - Cotes formulas.
Approximation based methods :discrete and continous least -squares approximation problems . Fourier series . Orthogonal polynomials .
Ordinary differential equations algorithms : Euler algorithm. Runge_Kuta algorithms. Application to real problems .
Series of lectures
Laboratory exercises in Matlab enviroments
Opis efektu | Symbole efektów | Metody weryfikacji | Forma zajęć |
Lecture –the necessary passing condition is to obtain a positive grade from final exam.
Laboratory – the main condition to get a pass are sufficient marks for all exercises and tests
conducted during the semester.
Calculation of the final grade: lecture 50% + laboratory 50%
1. Lloyd N. Trefethen and David Bau, III: Numerical Linear Algebra, SIAM, 1997
2. H.M. Antia: Numerical Methods for Scientists and Engineers, Birkhauser, 2000
3. Richard L. Burden, J. Douglas Faires, Numerical analysis, Brooks /Cole Publishing Company, ITP An International Thomson Publishing Company, sixth edition, 1997
4. Kendall Atkinson, Elementary numerical anlysis, John Wiley & Sons, Inc., second edition, 1993
1. Tutorials of Matlab
2. List of problems to be solved in Laboratory
Zmodyfikowane przez prof. dr hab. Roman Gielerak (ostatnia modyfikacja: 23-04-2020 18:12)