Honors Analysis II

(4 Credits)

This course is a continuation of Analysis I, with emphasis on functions of several variables. Topics covered include the topology of Euclidean space, the Stone-Weierstrass theorem, the implicit and inverse function theorems in several variables, Jordan regions, linear transformations, differentiation of integrals, and integration of differential forms. Prerequisite: Grade of A in [ MATH-SHU 328 Honors Analysis 1] OR {Grade of C or better in [ MATH-SHU 328 Honors Analysis 1] AND [ MATH-SHU 141 Honors Linear Algebra I or ( MATH-SHU 140 Linear Algebra and MATH-SHU 143 Foundations of Mathematical Methods)] } Equivalency: This course counts for MATH-UA 329 . Fulfillment: Honors MATH Required, MATH Constrained Math electives, DS concentration in Math.