Algebras and sigma-algebras, Measures, Outer measures, Lebesgue measure in Rⁿ, Completeness and regularity, Measurable functions and their properties, Convergence in measure, Integral, Convergence theorems, Signed and complex measures, Radon Nikodym theorem, Lebesgue decompostion theorem, L^p-spaces and their dual. Product measures, Construction, Fubini theorem and its applications, Differentiation of measures.