1. Identify and solve linear ordinary differential equations of higher order and 1st order homogeneous linear systems with constant coefficients.
2. Develop basic phase plane diagrams and analyse the qualitative behavior of linear systems.
3. Apply the Laplace transform to solve differential equations with discontinuous or nondifferentiable inputs.
4. Analyse periodic phenomena, using Fourier series, and extend the concepts to non-periodic phenomena, through the Fourier method and Fourier transform.
5. Model and solve initial values problems and boundary value problems with Fourier and Laplace methods, and being able to make the associated critical analysis.

Curricular Unit Form