Competencies and objectives

 

Course context for academic year 2012-13

Esta asignatura se ubica en el módulo Fundamental y dentro de él en la materia "Estructuras Algebraicas". Dicha materia incluye además la asignatura "Ecuaciones Algebraicas” y está dedicada al estudio de las estructuras algebraicas básicas como son los grupos y los anillos. El conocimiento de dichas estructuras y las propiedades relacionadas con ellas son imprescindibles para el seguimiento de las asignaturas: Ecuaciones Algebraicas (de la materia Estructuras Algebraicas), Teoría de Grupos (módulo Avanzado, materia Matemáticas Generales), Teoría de Códigos (módulo Avanzado, materia Análisis de Datos y Álgebra Aplicada) y Criptografía (módulo Avanzado, materia Análisis de Datos y Álgebra Aplicada).

 

 

Course content (verified by ANECA in official undergraduate and Master’s degrees)

Specific Competences (CE)

  • CE10 : Communicate, both orally and in writing, mathematical knowledge, procedures, results and ideas.
  • CE2 : Understand rigorous demonstrations of certain classical theorems in different fields of Mathematics.
  • CE3 : Assimilate the definition of a new mathematical object in terms of others already known and be able to use said object in different contexts.
  • CE4 : Know how to abstract the structural properties (of mathematical objects, of observed reality and other contexts) distinguishing them from those that are purely occasional and be able to prove them with demonstrations or refute them with counter-examples, as well as identify errors of incorrect reasoning.
  • CE6 : Solve mathematical problems using basic calculus skills and other techniques, planning their resolution according to the tools available and any time and resource restriction.
  • CE9 : Use bibliographic search tools for Mathematics.

 

Specific Generic UA Competences

  • CGUA1 : Understand scientific English.
  • CGUA2 : Possess computer knowledge related to the field of study.
  • CGUA3 : Acquire or posses basic ICT (Information and Communication technology) skills and manage the information obtained appropriately.

 

Generic Degree Course Competences

  • CG1 : Develop the capacity for analysis, synthesis and critical reasoning.
  • CG2 : Show the ability for effective and efficient direction/management: entrepreneurial spirit, creativity, organisation, planning, control, decision making and negotiation.
  • CG3 : Resolve problems effectively.
  • CG4 : Show ability for teamwork.
  • CG5 : Commitment to ethics, the values of equality and social responsibility as a citizen and as a professional.
  • CG6 : Learn autonomously.
  • CG7 : Show the ability to adapt to new situations.
  • CG9 : Demonstrate the ability to transmit information, ideas, problems and solutions to both specialist and non-specialist audiences.

 

 

 

Learning outcomes (Training objectives)

No data

 

 

Specific objectives stated by the academic staff for academic year 2012-13

Reconocer los distintos modelos de grupos de orden pequeño.

Saber utilizar la teoría de Sylow en el conocimiento de la estructura de grupos finitos.

Dominio de la estructura cociente en las estructuras de grupo y anillo.

Reconocimiento de los distintos tipos de anillos e ideales.

Saber determinar si un ideal es maximal o primo.

Conocimiento del álgebra básica de los anillos de matrices y polinomios en una variable.

Saber factorizar elementos en anillos concretos y, en particular, polinomios.

 

 

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General

Code: 25034
Lecturer responsible:
CLIMENT COLOMA, JOAN JOSEP
Credits ECTS: 6,00
Theoretical credits: 2,16
Practical credits: 0,24
Distance-base hours: 3,60

Departments involved

  • Dept: STATISTICS AND OPERATIONS RESEARCH
    Area: STATISTICS AND OPERATIONS RESEARCH
    Theoretical credits: 2,16
    Practical credits: 0,24
    This Dept. is responsible for the course.
    This Dept. is responsible for the final mark record.

Study programmes where this course is taught