SylabUZ
Nazwa przedmiotu | Numerical methods |
Kod przedmiotu | 11.9-WE-AutP-NM-Er |
Wydział | Wydział Nauk Inżynieryjno-Technicznych |
Kierunek | Automatyka i robotyka |
Profil | ogólnoakademicki |
Rodzaj studiów | Program Erasmus pierwszego stopnia |
Semestr rozpoczęcia | semestr zimowy 2021/2022 |
Semestr | 2 |
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 familiarize students with the basic numerical methods used in engineering calculations
forming understanding among students that it is necessary to correctly perform computer calculations that guarantee acceptable errors
shaping basic skills of a practical application of numerical methods in computer calculations - using the Matlab package
Mathematical analysis, Linear algebra with analytical geometry
Computer arithmetic: fixed and the floating-point representation of numbers, calculation errors in the floating-point arithmetic, stability, and correctness of a numerical algorithm, conditioning of a numerical task).
Solving nonlinear equations: bisection method, falsi rule, secant and tangent methods, multiple zeros, systems of nonlinear equations.
Solving problems of linear algebra: exact methods for solving systems of linear equations: Gauss method, pivoting, triangular distribution, Thomas method, Cholesky-Banachiewicz method; iterative methods: Jordan, Gauss-Seidel, determination of determinants and inverse matrix, spectral problem.
Interpolation: definition and classification of methods, polynomial interpolation: Lagrange interpolation formula, Newton interpolation formula; trigonometric interpolation, interpolation with spline functions, cubic spline.
Approximation: discrete and continuous mean square approximation, triangular families of orthogonal polynomials in approximation.
Quadratures: a complex pattern of rectangles and triangles, Newton-Cotes quadrature, Gaussian quadrature, numerical integration of integrals with improper boundaries, and with singular points inside the integration interval, integration of multidimensional functions.
Ordinary differential equations: Euler method, Rung-Kutta methods. Introduction to boundary problem methods and partial differential equations.
Matlab engineering calculations environment.
Lecture: traditional lecture
Laboratory: lab exercises
Opis efektu | Symbole efektów | Metody weryfikacji | Forma zajęć |
Lecture – the main condition to get a pass is a sufficient mark in a written exam.
Laboratory – the passing condition is to obtain positive marks from all laboratory exercises to be planned during the semester.
Calculation of the final grade: lecture 50% + laboratory 50%
Zmodyfikowane przez dr hab. inż. Wojciech Paszke, prof. UZ (ostatnia modyfikacja: 12-07-2021 07:56)