Educational guide
IDENTIFYING DATA							2024_25
Subject	MATHEMATICAL MODELING					Code	01735021
Study programme	1735 - MASTER UNIVERSITARIO EN RIESGOS NATURALES
Descriptors	Credit.	Type	Year	Period
	3	Compulsory	First	First
Language	Castellano
Prerequisites
Department	MATEMATICAS
Coordinador	GARCÍA FERNÁNDEZ , ROSA MARTA				E-mail	rmgarf@unileon.es mmlopc@unileon.es
Lecturers	GARCÍA FERNÁNDEZ , ROSA MARTA LÓPEZ CABECEIRA , MARÍA MONTSERRAT
Web	http://
General description
Tribunales de Revisión	Tribunal titular Cargo Departamento Profesor Presidente MATEMATICAS GOMEZ PEREZ , JAVIER Secretario MATEMATICAS CASTRO GARCIA , NOEMI DE Vocal MATEMATICAS TROBAJO DE LAS MATAS , MARIA TERESA Tribunal suplente Cargo Departamento Profesor Presidente MATEMATICAS SUSPERREGUI LESACA , JULIAN JOSE Secretario SUAREZ CORONA , ADRIANA Vocal QUIROS CARRETERO , ALICIA

Topic

Sub-topic

1. Introduction to Mathematical Modeling 2. Continuous and Discrete Dynamical Systems 2.1. Classical Models in Nature 2.2. Applications of ODEs in the modeling of natural phenomena 2.3. Applications of Difference Equations in the modeling of natural phenomena 3. Regression Models 3.1. Introduction to linear and nonlinear regression. 3.2. Study of the goodness of fit 4. Use of computational tools for the implementation and simulation of mathematical models.

Methodologies  ::  Tests
	Class hours	Hours outside the classroom	Total hours
Assignments	1	8	9
Practicals using information and communication technologies (ICTs) in computer rooms	11	0	11
Seminars	3	9	12
Personal tuition	2	2	4
Lecture	10	26	36
Practical tests	3	0	3
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies   ::  

	Description
Assignments	The work will involve submitting well-solved cases and problems.
Practicals using information and communication technologies (ICTs) in computer rooms	Attendance to the practices at CRAI-TIC and submission of the practice report.
Seminars	Theoretical and practical knowledge related to the subject will be imparted.
Personal tuition	Personalized or group attention will be provided to the students to address any doubts they have related to the subject.
Lecture	The professor gives theoretical classes.

Seminars Lecture Practicals using information and communication technologies (ICTs) in computer rooms Assignments

Description Presential Tutorials: Individual or group tutorial sessions will be held in the classroom to resolve any doubts related to the understanding of concepts or the development and resolution of assignments proposed by the teacher. Virtual Tutorials: Students can communicate with the teacher through the Moodle forum or email, by prior appointment, to ask and resolve doubts.

	Description	Qualification
Seminars	Seminars will be assessed through active participation in class.	Representa el 5% de la nota final.
Lecture	Through active and positive participation in class.	Representa el 10% de la nota final.
Practicals using information and communication technologies (ICTs) in computer rooms	Submission of the internship report.	Representa el 20% de la nota final.
Assignments	Submission of well-solved cases. They will be presented in writing within the established deadlines. Each assignment will be evaluated based on: - Structure of the work. - Proper use of resources. - Rigor in reasoning. - Precision in language use. - Presentation. - Originality.	Representa el 35% de la nota final.
Practical tests	Submission of solved problems.	Representa el 30% de la nota final.
Other comments and second call

Basic	VAZQUEZ ESPÍ, C, Cálculo Numérico, García-Maroto editores S. L., 2012 ARACIL, J., Introducción a la dinámica de sistemas, Alianza Editorial, Madrid, 1986 J.W. BREWER, J.W. BUNCE. AND F.S. VAN VLECK, Linear Systems Over Commutative Rings., Marcel Dekker, Inc., New York, 1986 J.D. MURRAY, Mathematical Biology, Interdisciplinary Applied Mathematics 17, Springer,, 2002 E.D. SONTAG, Mathematical Control Theory, Springer-Verlag, 1998 FORD, A., Modelling the environment, Island Press, Washington, 1999 BROWN, D. & ROTHERY, P., Models in Biology, Wiley & Sons, Chichester, 1993 J.A. HERMIDA, On linear algebra over commutative rings., Handbook of Algebra Volume 3, 3-61,Elsevier, 2003
Complementary

Other comments

If a student does not participate in any of the evaluation tests, they will receive a score of zero in that particular test. This score will be taken into account when calculating the final grade. Once the date of a partial written test has been set, it cannot be changed. Any student who does not attend the test will receive a zero grade.