Educational guide 2023_24 Escola de Enxeñaría de Telecomunicación

Contents

Topic	Sub-topic
1. Introduction.	1.1. Role and stages of mathematical modeling. 1.2. Mathematical modeling. 1.3. Numerical simulation. 1.4. Types of models.
2. First steps: modeling of biological populations.	2.1. Models of single species dynamics. 2.2. Models of two species dynamics (competition, mutualism, commensalism, predator-prey, migration...) 2.3. Age-Structured Models of Population Dynamics.
3. Geophysical flows.	3.1. Introduction. 3.2. Transport-diffusion models. 3.3. Shallow water models. 3.4. Adsorption and sedimentation. 3.5. Dispersive flows models. 3.6. Unidimensional models for rivers and channels. 3.7. Pollution. 3.8. GPR model.
4. Transport and diffusion models. Pollution.	4.1. Transport and diffusion. 4.2. Phenomena involved in the study of pollution. 4.3. Some problems of control of the spread of contamination.
5. Models for shallow waters: the Saint-Venant equations.	5.1. Gravitational flow with free surface. 5.2. Shallow water equations. 5.3. Erosion and sedimentation.
6. Water pollution.	6.1. Adsorption and absorption. 6.2. Simplified pollution models.
7. Alternative models for shallow waters.	7.1. Models for dispersive flows. 7.2. Multilayer models.
8. Other models with applications in the environment.	8.1. Models for subsurface waters. Richards equation. 8.2. GPR model for continuum mechanics.