3.00 Credits
Continuation of MATH 3200. Includes continuity, differentiation, chain rule, Riemann integration, Fubini's theorem, and change of variable formula. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Explain, in mathematical terms, the definitions (e.g., continuity,partial differentiability, Riemann and Lebesgue integrability, etc.) and theorems (e.g., Fubini's theorem, the change of variables formula, etc.) underlying advanced and multivariable calculus. 2. Articulate and discriminate between such notions as continuity and uniform continuity (as applied in describing functions), pointwise and uniform convergence (as applied both in describing sequencesof functions and in describing power series), and Riemann and Lebesgue integrability (as applied in describing functions). 2. Identify the notational subtleties and, in the case of Riemann and Lebesgue integrability, the constructional considerations responsible for the variance between the definitions of these terms. 3. Create and analyze rigorous arguments in the mathematical language that demonstrate both a thorough command of accepted notation and terminology as well as a strong understanding of both introductory and intermediate real analysis. Prerequisite: MATH 3200. SP (even)