Competencies and objectives
Course context for academic year 2024-25
The prerequisites that requires this course are a real analysis course of one and several variables, a course in elementary topology of sets and a course in linear algebra. This is to introduce students in learning the basics of the theory of measure and especially what were the original problems in the development of the theory by Lebesgue.
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.
- 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.
- CE8 : Develop programmes that solve mathematical problems using the appropriate computational environment for each particular case.
- 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
SPECIFIC OBJECTIVES:
Handle with ease different kinds of sets and measures.
Understand and develop the theory on the Lebesgue integration.
Learn and operate freely mixed results concerning the Lebesgue measure and Lebesgue spaces.
Know and solve problems associated with the fundamental concepts and results of Measure Theory.
Solve problems by planning its resolution in function of the available tools.
General
Code:
25050
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:
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
-
DEGREE IN MATHEMATICS
Course type: OPTIONAL (Year: 4)
-
DOUBLE DEGREE IN PHYSICS AND MATHEMATICS
Course type: OPTIONAL (Year: 5)