18.02 Autumn 2012


Instructor: James McKernan

Office: 2-274, 253-4391

Email: mckernan [at] math . mit .edu

Lectures: TR1, F2 26-100

Office hours: W3-5,F1-2


COURSE DESCRIPTION

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

Matlab instructions
First practice exam A Model answers A
First practice exam B Model answers B
Model answers to First midterm
Second practice exam A Model answers A
Second practice exam B Model answers B
Model answers to Second midterm
Third practice exam A Model answers A
Third practice exam B Model answers B
Model answers to Third midterm
Fourth practice exam A Model answers A
Fourth practice exam B Model answers B
Model answers to Fourth midterm
Practice final exam A Model answers A
Practice final exam B Model answers B

RECENT UPDATE

[09.22.2012]  Final exam on Thursday December 20th 9am-12pm Johnson

[11.04.2012]  Final practice midterms posted