MATH S-21a Multivariable Calculus

To see how calculus applies in situations described by more than one variable, we study vectors, lines, planes, and parameterization of curves and surfaces; partial derivatives, directional derivatives, and gradients; optimization and critical point analysis, including the method of Lagrange multipliers; integration over curves, surfaces, and solid regions using Cartesian, polar, cylindrical, and spherical coordinates; vector fields, and line and surface integrals for work and flux; and the divergence and curl of vector fields together with applications.

(4 credits)

Prerequisite(s): two semesters of calculus. Placement test recommended.

7-week session
Oliver Knill, PhD, Preceptor in Mathematics, Harvard University.
Class times: Tuesdays, Thursdays, 8:30-11:30 am. Optional sections to be arranged.
Course tuition: noncredit, undergraduate credit, graduate credit $2,920
Course reference number: 30189

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