Basic ideas and concepts: algorithm, local linearisation, iteration, extrapolation, discretisation, convergence, stability, condition.
Estimation of reliability: parameter sensitivity, experimental perturbation calculation, precision.
Numerical methods for: linear systems of equations, nonlinear equations and systems of equations, interpolation, model adaptation with the least squares method, optimisation, integrals and differential equations.
Using mathematical software to solve engineering mathematical problem, make numerical experiments and present efficient algorithms.