Mathematical Sciences

Lund University

Integration Theory

Official Course Description


In this course we introduce a more general integral concept, the so called Lebesgue integral, that extends to a larger class of functions. The Lebesgue integral is a generalization of the usual Riemann integral that allows easier rules for integration of limits of sequences of functions and it is an important tool in modern analysis. Integrals with respect to general measures play a crucial role in many branches of mathematics, as real analysis, the theory of probability and potential theory. The course comprises basic measure theory, construction of the Lebesgue measure, convergence theorems and Fubini's theorem.

Coming Sessions

Finished Sessions


Previous exams

2015-03-21 Exam Solutions
2014-08-27 Exam
2014-04-10 Exam

Course Information

NF Code: MATM19
Level:Advanced Level

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