Computational mathematics

This course introduces numerical techniques which are fundamental to a large class of computational problems in electronics. This discipline is designed to help students understand peculiarities, limitations and adaptation of numerical techniques for electronics problems. Students will gain experience of: selection of appropriate numerical method for given task guaranteeing proper requirements for its application to ensure convergence and stability; estimation of computation uncertainties; elaboration of algorithms for selected methods and software implementation; adaptation of complex software for given task.

Syllabus:

• Introduction.
  
• Uncertainties of numerical computations.
  
• Interpolation.
  
• Numerical techniques of linear algebra.
  
• Numerical methods for nonlinear equations.
  
• Numerical evaluation of integrals.
  
• Numerical techniques of ordinary differential equations.
  
• Numerical techniques of optimization problems.
  
• Approximation.