This course provides introductory discussions on
computational methods which aims to study and solve mathematical problems
involving real variables which emphasizes the importance of the study of errors.
This course also discusses the mathematical foundations of numerical methods
and mathematical tools e.g.
ordinary and partial differential equations, nonlinear dynamical systems, integral
systems, numerical analysis, approximation theory, inverse problems and image
analysis, basic theoretical properties: stability, accuracy, and
computational complexity, and
illustrate the method performances by means of computational examples.