18.02 Autumn 2011

Instructor: James McKernan

Course Adminstrator: Nan Li

Office: 2-274, 253-4391

Email: mckernan [at] math . mit .edu

Lectures: TR1, F2 10-250

Office hours: W3-5,F1-2


Calculus of several variables. Vector algebra in 3-space, determinants, matrices. Vector-valued functions of one variable, space motion. Scalar functions of several variables: partial differentiation, gradient, optimization techniques. Double integrals and line integrals in the plane; exact differentials and conservative fields; Green's theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes' theorem; applications.

Prerequisites: Calculus I (GIR)

Text Book: Multivariable Calculus, by Edwards and Penney