MEASURE THEORY AND INTEGRATION

Undergraduate

A first course in measure theory, covering measure as a generalization of length, outer measure, sigma-algebras, measurability, construction of measures, Lebesgue measure on the real line, measurable functions and the Lebesgue integral. Additional topics may include and convergence theorems, product measures and Fubini Theorem. PREREQUISITE: MATH 3510 Three lecture hours per week