Competencies and objectives

 

Course context for academic year 2024-25

La asignatura Fundamentos Matemáticos II es de carácter Básica y se ubica dentro de la materia Matemáticas, junto con las asignaturas "Álgebra Lineal I", "Análisis de una variable real I" y "Fundamentos Matemáticos I". Esta asignatura pretende continuar la labor de "Fundamentos Matemáticos I" como introducción a la matemática discreta y a conceptos matemáticos fundamentales que aparecen en muchas otras asignaturas del grado, tales como la combinatoria o las estructuras finitas.

 

 

Course content (verified by ANECA in official undergraduate and Master’s degrees) for academic year 2024-25

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.
  • 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.
  • CE5 : Propose, analyse, validate and interpret models of simple real-life situations, using the most appropriate mathematical tools for the purpose.
  • 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

  • CGUA2 : Possess computer skills relevant to the field of study.
  • CGUA3 : Acquire or possess basic Information and Communications Technology skills and correctly manage the information gathered.

 

Generic Degree Course Competences

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

 

 

 

Learning outcomes (Training objectives)

Dominar el concepto de recursión matemática.

Conocer el concepto de congruencia y manejar la aritmética modular.

Saber contar o enumerar diversos tipos de estructuras discretas como conjuntos, permutaciones, relaciones, grafos y árboles.

Conocer los conceptos básicos de la teoría de grafos.

 

 

Specific objectives stated by the academic staff for academic year 2024-25

No data

 

 

General

Code: 25043
Lecturer responsible:
Castillo Godoy, Cristian
Credits ECTS: 6,00
Theoretical credits: 1,32
Practical credits: 1,08
Distance-base hours: 3,60

Departments involved

  • Dept: MATHEMATICS
    Area: MATHEMATICAL ANALYSIS
    Theoretical credits: 0,66
    Practical credits: 0,54
    This Dept. is responsible for the course.
    This Dept. is responsible for the final mark record.
  • Dept: MATHEMATICS
    Area: GEOMETRY AND TOPOLOGY
    Theoretical credits: 0,66
    Practical credits: 0,54

Study programmes where this course is taught