Back To The Course Mod-01 Lec-01 Introduction ,Extended Real numbers Free Video Tutorials and Notes Lectures Mod-01 Lec-02 Algebra and Sigma Algebra of a subset of a set Free Video Tutorials and Notes Lectures Mod-01 Lec-03 Sigma Algebra generated by a class Free Video Tutorials and Notes Lectures Mod-01 Lec-04 Monotone Class Free Video Tutorials and Notes Lectures Mod-02 Lec-05 Set function Free Video Tutorials and Notes Lectures Mod-02 Lec-06 The Length function and its properties Free Video Tutorials and Notes Lectures Mod-02 Lec-07 Countably additive set functions on intervals Free Video Tutorials and Notes Lectures Mod-02 Lec-08 Uniqueness Problem for Measure Free Video Tutorials and Notes Lectures Mod-03 Lec-09 Extension of measure Free Video Tutorials and Notes Lectures Mod-03 Lec-10 Outer measure and its properties Free Video Tutorials and Notes Lectures Mod-03 Lec-11 Measurable sets Free Video Tutorials and Notes Lectures Mod-04 Lec-12 Lebesgue measure and its properties Free Video Tutorials and Notes Lectures Mod-04 Lec-13 Characterization of Lebesque measurable sets Free Video Tutorials and Notes Lectures Mod-05 Lec-14 Measurable functions Free Video Tutorials and Notes Lectures Mod-05 Lec-15 Properties of measurable functions Free Video Tutorials and Notes Lectures Mod-05 Lec-16 Measurable functions on measure spaces Free Video Tutorials and Notes Lectures Mod-06 Lec-17 Integral of non negative simple measurable functions Free Video Tutorials and Notes Lectures Mod-06 Lec-21 Dominated Convergence Theorem and applications Free Video Tutorials and Notes Lectures Mod-06 Lec-22 Lebesgue Integral and its properties Free Video Tutorials and Notes Lectures Mod-06 Lec-23 Denseness of continuous function Free Video Tutorials and Notes Lectures Mod-06 Lec-18 Properties of non negative simple measurable functions Free Video Tutorials and Notes Lectures Mod-06 Lec-20 Properties of Integral functions & Dominated Convergence Theorem Free Video Tutorials and Notes Lectures Mod-07 Lec-24 Product measures, an Introduction Free Video Tutorials and Notes Lectures Mod-07 Lec-25 Construction of Product Measure Free Video Tutorials and Notes Lectures Mathematics - Measure and Integration Free Video Tutorials and Notes LecturesMod-04 Lec-12 Lebesgue measure and its properties Free Video Tutorials and Notes LecturesMeasure and Integration by Prof. Inder K Rana ,Department of Mathematics, IIT Bombay. For more details on NPTEL visit http://nptel.ac.in