MATH 6330 - Real Analysis I

3 Credits (Minimum) 3 Credits (Maximum)

Lebesgue measure, measurable and nonmeasurable sets, sigma algebras. Lebesgue integral, comparison with Riemann integration, Monotone and Dominated Convergence Theorems, Fatou’s Lemma. Differentiation, functions of bounded variation, absolute continuity integration in product spaces, Fubini’s Theorem. Prer., MATH 4320/5320 and MATH 5350/6350. Meets with MATH 5330. Graduate students only.