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Course description
  MEASURE THEORY

Competencies and objectives

 

Course context for academic year 2019-20

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)

Specific Competences (CE)

  • CE10 : Communicate, both orally and in writing, mathematical knowledge, procedures, results and ideas.
  • 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.

 

 

 

Learning outcomes (Training objectives)

No data

 

 

Specific objectives stated by the academic staff for academic year 2019-20

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:
MORA MARTINEZ, GASPAR
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