Numerical Methods 360-MS1-2MNUa

Course profile: academic
Form of study: stationary
Course type: obligatory
Academic discipline: Mathematics, field of study in the arts and science: mathematics
Year: 2, semester: 4
Prerequisities: none
lecture 15 h. laboratory class 30 h.
Verification methods: lectures, consultations, projects, presentations, studying literature, home works, discussions in groups.
ECTS credits: 4
Balance of student workload:
attending lectures15x1h = 15h
attending laboratories 15 x 2h = 30h
preparation for classes 7x3h = 21h
completing notes after exercises and lectures 7x2h = 14h
consultations 5x1h = 5h
preparing medium size projects 20h = 20h
final preparation 10h = 10h
Quantitative description
Direct interaction with the teacher: 50 h., 2 ECTS
Practical exercises: 75 h., 3 ECTS

W cyklu 2025:

Plan of classes:

Approximation of functions,
interpolation of functions (Lagrange polynomial, Newton polynomials),
numerical integration,
numerical differentiation,
solving linear system of equations,
solving nonlinear equations,
orthogonal polynomials

Rodzaj przedmiotu

obowiązkowe

Koordynatorzy przedmiotu

Marzena Szajewska

Efekty kształcenia

Learning outcomes:
Student knows the selected methods of solving systems of linear and nonlinear equations.K_W08, K_W10, K_K01
Student can compute the determinant and the inverse matrix.K_W04, K_W08, K_W10, K_K01
Student knows some methods of computing of the eigenvalues and eigenvectors of a matrix.K_W04, K_W07, K_W08, K_W10, K_K01
Student is able to describe the problem of the approximation and knows some methods of the approximation.K_W08, K_W10, K_U19, K_K01
Student knows some methods of the integral calculus. She/He is able to compute the quadrature for the finite and infinite interval.K_W08, K_W10, K_U05, K_U19, K_K01
Student can solve numerically the ordinary differential equations and some very simple partial differential equations.K_W04, K_W07, K_W08,K_U05, K_U06, K_U16, K_U19, K_K01
Student is able to solve the problems using an application program for mathematics.K_W12, K_K01, K_U20, K_K08

Kryteria oceniania

The overall form of credit for the course: credit with grade

Literatura

J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, Springer-Verlag, ISBN 0-387- 90420-4
L.N. Trefethen and D. Bau, Numerical Linear Algebra, Society of Industrial and Applied Mathematics
C.T. Kelley, Iterative methods for linear and nonlinear equations, Society of Industrial and Applied Mathematics

Więcej informacji

Dodatkowe informacje (np. o kalendarzu rejestracji, prowadzących zajęcia, lokalizacji i terminach zajęć) mogą być dostępne w serwisie USOSweb:

Strona przedmiotu 360-MS1-2MNUa w USOSweb