Competencies and objectives

 

Course context for academic year 2021-22

Esta asignatura se halla ubicada en el Módulo Fundamental y, dentro del mismo, forma parte de la materia Topología. Dicha materia incluye además la asignatura Topología Básica.

Si en la Topología Básica se han tratado los aspectos básicos de la topología conjuntista, la Topología Avanzada persigue, por un lado, afianzar y completar los contenidos ya introducidos y, por otro, conectar la topología con otras áreas como el Álgebra y la Geometría.

En esta asignatura, que puede considerarse como una introducción a la Topología Algebraica, se utilizan conceptos y resultados vistos anteriormente en las asignaturas Topología Básica, Análisis real de varias variables I y Estructuras algebraicas.

 

 

 

 

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

Specific Competences (CE)

  • CE1 : Understand and use mathematical language. Acquire the capacity to enunciate propositions in different fields of Mathematics, to construct demonstrations and transmit the mathematical knowledge acquired.
  • 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.

 

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 2021-22

No data

 

 

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General

Code: 25031
Lecturer responsible:
ALONSO GONZALEZ, CLEMENTA
Credits ECTS: 6,00
Theoretical credits: 1,32
Practical credits: 1,08
Distance-base hours: 3,60

Departments involved

  • Dept: MATHEMATICS
    Area: GEOMETRY AND TOPOLOGY
    Theoretical credits: 1,32
    Practical credits: 1,08
    This Dept. is responsible for the course.
    This Dept. is responsible for the final mark record.

Study programmes where this course is taught