MEASURE THEORY AND INTEGRATION

Graduate

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 convergence theorems, product measures and Fubini Theorem. Graduate students will have more challenging assessments than undergraduates to reflect the higher level of mastery of the material that they are expected to achieve. This course is cross-level listed with MATH 4520. Credit cannot be received for both MCS 8520 and MATH 4520. PREREQUISITE: Admission to a graduate program in Science HOURS OF CREDIT: 3