Modelización mediante ecuaciones diferenciales Código:  M0.530    Créditos:  6
Consulta de los datos generales   Descripción   Conocimientos previos   Información previa a la matrícula   Objetivos y competencias   Contenidos   Consulta de los recursos de aprendizaje que dispone la asignatura   Recursos de aprendizaje y herramientas de apoyo   Metodología   Consulta del modelo de evaluación   Evaluación Contínua  
Este es el plan docente de la asignatura. Os servirá para planificar la matrícula (consultad si la asignatura se ofrece este semestre en el espacio del Campus Más UOC / La Universidad / Planes de estudios). Una vez empiece la docencia, tenéis que consultarlo en el aula. El plan docente puede estar sujeto a cambios.

This course aims to provide the student with some skills required to develop mathematical models of problems that have their origin in various areas such as engineering, physics or economics. The emphasis of the course is on those mathematical techniques that involve differential equations to understand physical problems. We have aimed to include practical exampes from different disciplines such as mechanics, fluid dynamics, heat transfer, chemical kinematics or population growth. The course focuses on three issues: the mathematical formulation of the empirical model, the mathematical resolution of the resulting differential equation by analytical or numerical methods and the analysis and interpretation of the results.

The master has had a modification of the curriculum to improve and update the contents of the courses. This means that there are some credit changes in courses that share a classroom and / or nomenclature changes in some courses. In the cases that this happens, there are no substantial changes in the contents, although some additional activity may be requested for the 6-credit courses.

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Some basic calculus and algebra are required. Students must also be able to read and understand scientific texts written in English.

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The main goal of the course is to provide the student with some basic modelling skills, which have application to a wide variety of problems. The course focuses on models that involve formulating, solving and analyising differential equations which describe rates of change. However, the skills developed are transferable to many other areas.

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  • Compartmental models
  • Models of single populations
  • Phase-plane analysis
  • Linearization analysis
  • Basic heat models
  • Time dependent heat problems
  • Heat conduction problems
  • Introduction to partial differential equations

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  • Matlab software
  • Videos from http://www.chaos-math.org/en

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Differential equations are the main tool of the course, however we will put emphasis on the formulation of the differential equation and the role that the parameters play in the model.

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Esta asignatura sólo puede superarse a partir de la evaluación continua (EC). La nota final de evaluación continua se convierte en la nota final de la asignatura. La fórmula de acreditación de la asignatura es la siguiente: EC.


Ponderación de las calificaciones

Opción para superar la asignatura: EC

Nota final de asignatura: EC

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The assessment of the course consists on four activities, PEC 1, PEC 2, PEC 3 and PEC 4, each one contributing 25% to the final grade.

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