Objectives:
Mathematical modelling is widely used in the various fields of engineering. The mathematical techniques and numerical methods used to treat problems are very varied and sometimes complex. A good understanding is necessary for an efficient resolution and a correct interpretation of the results obtained.
Learning Outcomes:
- Master the theoretical bases and the main direct numerical methods for solving linear systems
- Understand the influence of matrix conditioning
- Be able to pose a linear least squares problem and master its numerical solution (QR factorisation)
- Be able to characterise the solutions to a non-linear optimisation problem and determine them numerically using simple descent methods (gradient)
- Understand the principle of convolution and master the Laplace transform
- Be able to use the Laplace transformation to solve a number of differential equations
