18.022 Autumn 2010


Instructor: James McKernan

Office: 2-274, 253-4391

Email: mckernan [at] math . mit .edu

Lectures: TR1, F2 4-370

Office hours: W3-5,F1-2


COURSE DESCRIPTION

Calculus of several variables. Topics as in 18.02 but with more focus on mathematical concepts. Vector algebra, dot product, matrices, determinant. Functions of several variables, continuity, differentiability, derivative. Parametrized curves, arc length, curvature, torsion. Vector fields, gradient, curl, divergence. Multiple integrals, change of variables, line integrals, surface integrals. Stokes' theorem in one, two, and three dimensions.

Prerequisites: Calculus I (GIR)

Text Book: Vector Calculus, by Susan Jane Colley

First practice exam Model answers
Model answers to First midterm
Second practice exam Model answers
Model answers to Second midterm
Third practice exam Model answers
Model answers to Third midterm
Practice Final Figure for 10 Model answers to practice final
Model answers to final exam

RECENT UPDATE

[12.15.2010]  The end