MAT 4315 - Advanced Calculus

Credits: 3 hrs

This course presents differential and integral calculus of functions with domain and range in Euclidean n-space. Topics include geometry of n-space, sequences and series in n-space and of functions, uniform convergence, improper integrals with parameters, Fourier series, extrema, differentiation of transformations, implicit function theorems, transformations of multiple integrals, differential forms, and Green, Gauss, and Stokes Theorems in a general set up.
Pre-requisite(s): MAT 2419 - Calculus III