ECTS
4 credits
Component
Faculty of Science
Description
Acquire the basics of measurement theory and integration.
Objectives
This EU will address the following:
- General measurement theory: measurable spaces, measurable applications and measured spaces.
- General theory of integration: integrals of stepped functions, positive measurable functions and real or complex functions. Theorems of monotonic and dominated convergence. Continuity and derivability of integrals depending on a parameter.
- Examples of measures: image measures and the transfer theorem, the counting measure on N, the Lebesgue measure on Rn
Necessary pre-requisites
The L1 and L2 analysis courses, in particular:
- HAX302X Analysis 3, topology of Rn and functions of several variables
- HAX403X Analysis 4, Series of functions, integer series, Fourier
Recommended prerequisites: L2 math
Additional information
Hourly volumes:
CM : 36
TD : 36
TP: -
Land: -