Celkem (h)	Př.	Cv.	Lab.	Sem.	Kurzy	Praxe	Stáže	Soustř.	Exkurze	Terén	SP	Konzultace	PV
Numerical analysis: – introduction to numerical methods, – types of errors, – properties of numerical algorithms, correctness and conditionality of numerical problems, – vector and matrix norms.	2	2	0	0	0	0	0	0	0	0	0	0	0	0
Numerical solution of nonlinear equations: nonlinear equations withone unknown, the idea of numerical solution, separation and approximation, – main iterative methods for one equation (bisection method, false position method, simple iteration method, Newton method, secant method), – systems of nonlinear equations, simple iteration method and Newton method.)	4	2	0	2	0	0	0	0	0	0	0	0	0	0
Numerical solution of systems of linear algebraic equations: – direct methods (Gaussian elimination method, LU decomposition, Cholesky method),	4	2	0	2	0	0	0	0	0	0	0	0	0	0
Interpolation and approximation of functions: – the idea of approximation, categorization, – interpolating polynomials (Lagrange's, Newton's, equidistant case), – interpolating splines, cubic splines, – approximation using least squares method.	6	2	2	2	0	0	0	0	0	0	0	0	0	0
Numerical evaluation of definite integrals: – quadrature formulae and their properties, – Newton–Cotes closed and open formulae, basic and composite formulae, – Gaussian quadrature rules, – Romberg's method.	4	2	0	2	0	0	0	0	0	0	0	0	0	0
Numerical solution of ordinary differential equations and their systems: – the idea of numerical solution of initial value problem for one first order ODE, – one-step methods (explicite, implicite), properties (errors, convergence, stability), – Runge–Kutta methods, – multistep methods (explicite, implicite), Adams methods, predictor-corrector methods, back differentiation methods, tough problems, generalization to systems of ODE's, – higher order ODE's.	8	4	0	4	0	0	0	0	0	0	0	0	0	0

Povinná:
Kuben, J. a Račková, P. Numerické metody. Skriptum. Brno: Univerzita obrany, 2016. viii+245 s. Dostupné v knihovně UO pod číslem S-3876. ISBN 978-80-7231-373-0.

Doporučená:
Přikryl, P. Numerické metody analýzy. 1. vydání. Praha: SNTL, 1985. 192 s. Dostupné v knihovně UO pod číslem S-2670/24.
Míka, S. Numerické metody algebry. 1. vydání. Praha: SNTL, 1982. 176 s. Dostupné v knihovně UO pod číslem S-2670/4.
Povinná multimediální:
Kuben, J. a Račková, P. Numerické metody. Elektronická učebnice. Brno: Univerzita obrany, 2019. 817 s. ISBN 978-80-7582-092-1. Dostupné z https://moodle.unob.cz/mod/resource/view.php?id=47767 [cit. 2020-07-26].