Educational guide

IDENTIFYING DATA

2011_12

Subject

CALCULO CIENTIFICO

Code

00204139

Study programme

LIC. CIENCIAS AMBIENTALES

Descriptors

Credit.

Type

Year

Period

Optional

Fifth

First

Language

Castellano

Prerequisites

Department

MATEMATICAS

Coordinador

SÁEZ SCHWEDT , ANDRÉS

E-mail

asaes@unileon.es
mttrom@unileon.es

Lecturers

SÁEZ SCHWEDT , ANDRÉS

TROBAJO DE LAS MATAS , MARÍA TERESA

Web

http://

General description

The main objective of the subject "Scientific Calculus" is to learn how to model and solve mathematical and statistical problems appearing in environmental sciences, by means of computer software, with special emphasis on "free software" packages. Prerequisites and previous knowlege: none. However, some elementary and basic knowledge of Mathematics and Statistics is HIGLY RECOMMENDED: linear algebra, calculus, random variables and hipothesis testing.

Tribunales de Revisión

Tribunal titular
Cargo	Departamento	Profesor

Tribunal suplente
Cargo	Departamento	Profesor

Objetivos

Methodologies

The subject will be mostly practical, with intensive use of mathematical software in a computer laboratory. The following methodologies will be used:

- Classmoom lessons in order to learn the mathematical and statistical models and procedures.

- Use of computer software to perform calculations, simulations and checking of results.

- Practical exercises in computer lab with the professor's assistance.

- Practical exercises and team work outside of the classroom.

- Seminaries where the students present orally their group works.

All activities will promote reflexion, analysis, synthesis, critical thought and autonomous learning of the students. Each new concept will be illustrated with examples and exercises.

Contents

Topic	Sub-topic
0.- Introduction to different computer programs.	1.- Symbolic software (wxmaxima), numerical software (scilab, R and spreadsheets) and statistical software (R and spreadsheets)
Part I: Numerical Methods	2.- Numerical methods in Linear Algebra. Systems of linear equations, eigenvalues, eigenvectors and diagonalization. Application to environmental sciences. 3. Numerical Methods in Differential and Integral Calculus. Roots of nonlinear equations, numerical integration, ordinary differential equations and partial differential equations. Application to environmental sciences.
Part II: Statistical Methods	4. Hypothesis testing (parametric and non parametric tests). Analysis of variance (anova). Linear regression and correlation. Application to environmental sciences. 5. Introduction to multivariate analysis. Multiple regression. Logistic regression. Principal component analysis and factorial analysis. Application to environmental sciences.

Personalized attention

Tutorship and personalized attention will be performed as usual (individually), and also in small groups, during the team work activities.

The team work activities will require some time to be spent before (introduction and explanation) and after (oral expositions).

Assessment

	Description	Qualification
Others	Option 1 (continuous evaluation and assessment) - Attendance and active participation - Practical exercises (homework) - Team work (requires written & oral presentation) - Written examination with computer software ------ Option 2 (Final exam with computer software)	Total 100 % 20% of total 25% of total 25% of total 30% of total 100% of total

Other comments and second call
Option 1 is only allowed to those students attending at least 75% of the presential lessons. Otherwise, assessment will be performed according to Option 2: a unique final examination with computer software (worth 100%) about the whole content of the subject. Second call: unique written examination with the use of computer software (value 100%), except in the following case: Upon request, students may retain their grades obtained during the first call in homework + team work activities (50% of total), in which case the final exam will be worth 50% of total.

Basic	BURDEN, R.L y FAIRES, J.D., Análisis numérico, Thomson, 2002 MARTÍNEZ GONZÁLEZ, Miguel Á. y otros, Bioestadística amigable, Díaz de Santos, 2006 ARRIAZA GÓMEZ, A.J. y otros, Estadística básica con R y R-Commander, Universidad de Cádiz, 2008 , Gnumeric: hoja de cálculo, http://www.gnome.org/projects/gnumeric/, , Open Office: "suite ofimática", http://es.openoffice.org/, CORDERO BARBERO, Alicia, y otros, Problemas resueltos de métodos numéricos, Thomson, 2006 , R: Análisis estadístico y gráfico, http://www.r-project.org/, , R: manuales, material, cursos, etc., http://knuth.uca.es, , wxmaxima: cálculo simbólico, http://maxima.sourceforge.net,

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