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
-
DEGREE IN MATHEMATICS
Course type: CORE (Year: 1)
-
DOUBLE DEGREE IN PHYSICS AND MATHEMATICS
Course type: CORE (Year: 1)