Mathematical Models

Code:

M182

Acronym:

M182

Keywords
Classification	Keyword
OFICIAL	Mathematics

Instance: 2010/2011 - 2S

Active?	Yes
Web Page:	http://moodle.up.pt/course/view.php?id=1989
Responsible unit:	Department of Mathematics
Course/CS Responsible:	Bachelor in Mathematics

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
L:AST	2	Plano de Estudos a partir de 2008	1	-	7,5	-
L:B	0	Plano de estudos a partir de 2008	3	-	7,5	-
L:CC	1	Plano de estudos de 2008 até 2013/14	3	-	7,5	-
L:G	0	P.E - estudantes com 1ª matricula anterior a 09/10	3	-	7,5	-
		P.E - estudantes com 1ª matricula em 09/10	3	-	7,5	-
L:M	45	Plano de estudos a partir de 2009	1	-	7,5	-
			2
			3
L:Q	0	Plano de estudos Oficial	3	-	7,5	-
PGMP	0	PE da PG em Matemática para Professores	1	-	7,5	-

Teaching language

Portuguese

Objectives

Application of mathematical concepts to the resolution of concrete problems: identification of the problem, proposal of a mathematical model, simulation with real data, conclusions.

Program

Discrete mathematical modeling with classical examples of application:
a) modeling in one dimension: dynamical system and its variation, exact modeling, resolution of linear and affine model, quadratic model, equilibria and their stability; models in economics and pharmacokinetics;
b) modeling in dimension two and three: equilibria and their stability; models in ecology and epidemiology;
c) modeling with proportionality;
d) adapting a model to data: graphical method and least square method;
e) experimental modeling.

Introduction to continuous mathematical modeling.

Mandatory literature

000102121. ISBN: 978-0-495-55877-4

Software

Maxima

Evaluation Type

Distributed evaluation with final exam

Assessment Components

Description	Type	Time (hours)	Weight (%)	End date
Attendance (estimated)	Participação presencial	75,00
	Total:	-	0,00