Mathematical Scholars Calculus lV

Catalog description

A continuation in the sequence of courses focused on Calculus. Provides the second semester of an integrated approach to linear algebra, multivariable calculus, and ordinary differential equations. Students will apply knowledge from one variable calculus and linear algebra to the higher dimensional setting, but many computations will take place in the low 2 and 3 variable cases. Topics include linear ordinary differential equations, Picard's Theorem, limits and continuity in many variables, partial derivatives, optimization problems, integration of functions of several variables, Fubini's Theorem, integration of differential forms and Generalized Stokes' Theorem.