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.
This class has 18.01 as a prerequisite.
18.022 will be offered this semester (Fall 2017). It is instructed by P. I. Etingof.
Lecture occurs 1:00 PM to 2:00 PM on Tuesdays and Thursdays in 4-270.
This class counts for a total of 12 credits.
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