Competencies and objectives

 

Course context for academic year 2024-25

The prerequisites that this subject needs is a course of real Analysis of one and several variables, a course of general Topology of sets, a course of linear Algebra and it would be also advisable to have made a course of Complex Analysis and another one of Measure and Integration Theory. The goal is to introduce the student to the learning of basic notions of Functional Analysis related to normed spaces, Banach, Hilbert, topological vector spaces and Operator Theory.
 

 

 

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.
  • CE11 : Ability to solve academic, technical, financial and social problems using mathematical methods.
  • CE14 : Solve qualitative and quantitative problems using previously developed models.
  • 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.
  • 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.
  • CE9 : Use bibliographic search tools for Mathematics.

 

Specific Generic UA Competences

  • CGUA1 : Understand scientific English.
  • 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)

No data

 

 

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

It is intended that students know, understand and manage the techniques of the Theory of Functions and Functional Analysis. This has been revealed as an essential tool for the study of Operator Theory, Differential Equations, Theory of Distributions, Fourier Analysis and other mathematical disciplines, without forgetting that Functional Analysis, jointly with Measure Theory, form the basis of the mathematical foundations of modern Physics or Quantum Physics.

 

 

General

Code: 25037
Lecturer responsible:
SAN ANTOLIN GIL, ANGEL
Credits ECTS: 6,00
Theoretical credits: 1,32
Practical credits: 1,08
Distance-base hours: 3,60

Departments involved

  • Dept: APPLIED PHYSICS
    Area: APPLIED PHYSICS
    Theoretical credits: 0
    Practical credits: 0
  • Dept: FOUNDATIONS OF ECONOMIC ANALYSIS
    Area: FOUNDATIONS OF ECONOMIC ANALYSIS
    Theoretical credits: 0
    Practical credits: 0
  • Dept: APPLIED MATHEMATICS
    Area: APPLIED MATHEMATICS
    Theoretical credits: 0
    Practical credits: 0
  • Dept: MATHEMATICS
    Area: MATHEMATICAL ANALYSIS
    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