UMH - NUMERICAL CALCULUS

Contents

NUMERICAL CALCULUS

Course

Code: 1472

Degree: Bachelor's in Business Statistics

Faculty of Social and Legal Sciences of Elche

Year: Year 2 of Bachelor's in Business Statistics

Semester: Spring

Type: Required

Language: Spanish

ECTS credits: 6

Lecture: 3

Laboratory: 3

Hours: 60

Directed: 60

Shared: 0

Autonomous: 0

Subject matter: Computational Mathematics

Module: Mathematics

Department: Statistics, Mathematics and Informatics

Area: APPLIED MATHEMATICS

Course instructors are responsible for the course content descriptions in English.

Description

Numbering systems and sources of error. Resolution of equations and linear and nonlinear systems. Interpolation and polynomial approximation. Numerical differentiation and integration. Numerical resolution of differential equations.

Faculty

Name	Coordinator	Lecture	Laboratory
TOLEDO MELERO, FRANCISCO JAVIER	■
COLL PERALES, BALDOMERO		■	■

Professional interest

Look at the web page in Spanish.

Competencies and learning outcomes

General competencies

Capacity to identify, interpret, formulate, and resolve basic problems within the branch of social and legal sciences.
Capacity for planning, organizing, directing, and controlling systems and processes within a framework that guarantee respect for the values, rights and basic principles of the legal system, business competitiveness, protection and conservation of the environment, and sustainable development in the corresponding field.
Ability to implement efficient tools for troubleshooting within the branch of social and legal sciences.
Ability to communicate in formal, graphic, and symbolic styles, as well as with oral and written forms of expression.
Ability to work with multidisciplinary and multicultural teams.
Ability to update knowledge within the branch of social and legal sciences.
Disposition of methodologies and efficient self-learning skills for adapting to and updating new skills and scientific advances, as well as to changing needs in order to adopt an aptitude for innovation and creativity in practicing the profession.

Specific competencies

Ability to develop the mathematic tools necessary for solving problems that may arise in the statistical analysis of data.
Skills for analytically and computationally solving mathematical problems that may arise in the statistical analysis of data.
Ability to correctly and rationally use software in the analysis of data for decision making.
Ability to think and reason quantitatively.
Capacity for abstraction.
Acquire the basic training for conducting research activities.

Objectives (Learning outcomes)

01Obtener soluciones numéricas con precisión arbitraria y estimación del error mediante algoritmos eficientes.
02Resolver con soltura ecuaciones no lineales.
03Ser capaz de utilizar tecnicas matriciales para representar y resolver un sistema de ecuaciones lineales, comprobando previamente su naturaleza.
04Identificar la diagonalizabilidad de una matriz y calcular su forma diagonal.
05Conocer la utilidad de la interpolación en el cálculo de funciones.
06Comprender las técnicas básicas de análisis cualitativo.
07Calcular la derivada en un punto y la integral numéricamente, estableciendo una cota del error cometido.
08Aproximar una función en un intervalo dado.

Teaching units

Association between objectives and units

Objective/Unit	U1	U2	U3	U4	U5	U6	U7
01
02
03
04
05
06
07
08

Schedule

Week	Teaching units	Directed hours	Shared hours	Autonomous hours	Total hours
1	U1	4	2	4	10
2	U1	4	2	4	10
3	U2	4	2	4	10
4	U2	4	0	4	8
5	U2	4	2	6	12
6	U3	4	1	4	9
7	U3	4	0	4	8
8	U4	4	2	5	11
9	U4	4	0	4	8
10	U5	4	2	6	12
11	U5	4	0	4	8
12	U6	4	2	6	12
13	U6	4	0	6	10
14	U7	4	0	6	10
15	U7	4	2	6	12

Basic bibliography

Burden, Richard L. "Análisis numérico". México [etc.] : Thomson Learning, cop. 2002.
García, Isaac A. "Métodos numéricos : problemas resueltos y prácticas". Lleida : Edicions de la Universitat de Lleida, 2009.
Gerald, Curtis F. Wheatley, Patrick O. "Análisis numérico con aplicaciones". México : Pearson Educación, 2000.
Kincaid, David. Cheney, Ward. "Análisis numérico : las matemáticas del cálculo científico". Argentina, etc. : Addison-Wesley Iberoamericana, cop. 1994.

Software

MATLAB 2015A

Methodology and grading

Methodology

Learning agreement: Develop active learning through an agreement between the teacher and the student containing commitments for what will be learned, how monitoring will take place for that learning, the set period of time, and the evaluation criteria.
Lecture: Pass on knowledge and activate cognitive processes in students, encouraging their participation.
Solving exercises and problems: Exercise, test, and apply previous knowledge through routine repetition.

Grading

Look at the web page in Spanish.

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