Third-Cycle Courses

Faculty of Engineering | Lund University

Details for the Course Syllabus for Course MATP29F valid from Autumn 2018

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  • The aim of the course is to the postgraduate student knowledge about mathematical measure theory. This is important for research within mathematical analysis, probability theory and mathematical physics.
  • The course covers fundamental theorems, such as the Radon-Nikodym theorem, and Lebesgue's decomposition, and basic theory of Lebesgue-Stieltjes integration.
Knowledge and Understanding
  • For a passing grade the doctoral student must
  • be able to explain important concepts, such as finite measure, absolutely continuous measure and singular measure.

    be able to give examples of how measure theory is used within other branches of mathematics.
Competences and Skills
  • For a passing grade the doctoral student must
  • be able to formulate and prove the main theorems of the course.
Judgement and Approach
  • For a passing grade the doctoral student must
Types of Instruction
  • Lectures
  • Seminars
Examination Formats
  • Written exam
  • Oral exam
  • Written assignments
  • Failed, pass
Admission Requirements
Assumed Prior Knowledge
  • For admission to the course, at least 67.5 credits in mathematics are required, in which should be included the course MATM19 Integration theory, 7.5 credits, or equivalent and English B or equivalent.
Selection Criteria
  • Cohn, Donald L.: Measure Theory: Second Edition. Birkhäuser, 2013. ISBN 9781461469551.
Further Information
Course code
  • MATP29F
Administrative Information
  •  -08-24
  • Professor Thomas Johansson

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