Numerical Methods

Higher education teachers: Dolinar Gregor

Subject description

Prerequisits:

• Enrolment in the third year of study.

Content (Syllabus outline):

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).

Objectives and competences:

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

Intended learning outcomes:

The knowledge and understanding of basic numerical methods for solving nonlinear equations, solving systems of linear equations, interpolation and approximation, integration of functions and solving ordinary and partial differential equations. The ability to analyse and numerically interpret technical problems, and to solve those problems using programming tools Matlab and Octave.

Learning and teaching methods:

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

Study materials