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,Wed2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by
MATH-UA 224-000 (8662)01/28/2019 – 05/13/2019 Fri2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by