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<p>Creating course page via bot</p> <p><b>New page</b></p><div>{{Infobox Course<br /> | code = MTL510<br /> | name = Measure and Integration<br /> | credits = 4<br /> | credit_structure = 3-1-0<br /> | pre_requisites = <br /> | overlaps = <br /> }}<br /> <br /> == MTL510 : Measure and Integration ==<br /> Outer measures, measures and measurable sets, Lebesgue measure on R, Borel measure Measurable functions, simple functions, Egoroff&#039;s theorem, Lebesgue integral and its properties, monotone convergence theorem, Fatou&#039;s Lemma, Dominated convergence theorem various modes of convergence and their relations Signed measures, Hahn and Jordan decomposition theorems, Lebesgue-Radon-Nikodym theorem, Lebesgue decomposition theorem, the representation of positive linear functionals on C c(X) Product measures, iterated integrals, Fubini&#039;s and Tonelli&#039;s theorems Lp spaces and their completeness, conjugate space of Lp for 1 &lt; p&lt; infinity, conjugate space of L1 for sigma-finite measure space Differentiation of monotone functions, functions of bounded variation, differentiation of an integral, absolute continuity.</div>

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