This course consists of video lectures of full syllabus, exercise solutions and previous year question discussions. Handwritten notes will be provided. Fees is non-refundable. Contact for any queries:- 8882601617 Syllabus Unit – 1 Lebesgue outer measure, Measurable sets, Lebesgue measure, Borel sets, Regularity, Measurable functions, Borel and Lebesgue measurability, Non-measurable sets. Unit – 2 Integration of nonnegative functions, General integral, Integration of series, Riemann and Lebesgue integrals. Unit – 3 Functions of bounded variation, Lebesgue’s differentiation theorem, Differentiation and integration, Absolute continuity of functions. Unit – 4 Measures and outer measures, Measure spaces, Integration with respect to a measure, 𝐿𝑝-spaces, Hölder's and Minkowski’s inequalities, Completeness of 𝐿𝑝 -spaces.