Mathematics 21A (spring)

Multivariable Calculus (119196)

Eva Politou

2026 Spring (4 Credits)

Schedule: TBD

Instructor Permissions: None

Enrollment Cap: n/a

To see how calculus applies in practical situations described by more than one variable, we study integration over curves, surfaces, and solid regions using different coordinate systems; parameterization of curves and surfaces; vectors, lines, and planes; partial derivatives and the gradient; constrained and unconstrained optimization; divergence and curl of vector fields; and the Green’s, Stokes’s, and Divergence Theorems. There will be required workshops Tuesdays.

Course Notes:

Math 21A is taught in small sections throughout the day (9:00-10:15 am, 10:30-11:45 am, 12-1:15 pm, 1:30-2:45 pm, and 3:00-4:15 pm with sufficient enrollment). Registering for Math 21A is a two-step process. Once enrolled, you must submit your time preferences before 5 pm on September 2 by filling out the Math Sectioning form in your To-Do list on my.harvard (this may take up to 15 minutes to appear after you enroll). If your time preferences change, you may submit the form again; only your latest submission will be used. In order to receive your section assignment, you are required to take the Math 21A skills check in-person on September 2. Please see the course's Canvas site for more information.

Recommended Prep:

Mathematics 1b or an equivalent background in mathematics.

Requirements:

Anti-requisite: Not to be taken in addition to AM 22b.

: