Brief review of multivariate calculus: partial derivatives, chain rule, Riemann integral, change of variables, line integrals. Lagrange multipliers. Inverse and implicit function theorems and their applications. Introduction to calculus on manifolds: definition and examples of manifolds, tangent vectors and vector fields, differential forms, exterior derivative, line integrals and integration of forms. Gauss’ and Stokes’ theorems on manifolds.

Math (Undergraduate)
4 credits – 15 Weeks

Sections (Spring 2019)

MATH-UA 224-000 (8661)
01/28/2019 – 05/13/2019 Mon,Wed
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by

MATH-UA 224-000 (8662)
01/28/2019 – 05/13/2019 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by