Numerical Methods

Solving nonlinear equations (bisection method, secant method, Newton method). Systems of linear equations (Gaussian elimination, iterative methods, boundary value problems, overdetermined and underdetermined systems of linear equations). Interpolation and approximation (polynomial interpolation, cubic splines, least squares method). Numerical integration (trapezoidal rule, Simpson rule, Romberg method, singular integrals). Ordinary differential equations (Euler method, Heun method, shooting method). Partial differential equations (finite difference method). Application in technology and natural sciences.

Understanding of basic numerical methods, their meaning and usage. Develop numerical-analytical thinking. To get to know programming tools Matlab and Octave.

Lectures and laboratory tutorials. Homework assignements in Matlab or Octave.