Vectors in the plane and space. Partial derivatives with applications, especially Lagrange multipliers. Double and triple integrals. Spherical and cylindrical coordinates. Surface and line integrals. Divergence, gradient, and curl. Theorems of Gauss and Stokes. | Prerequisite: MA-UY 1124 or MA-UY 1424 or MA-UY 1132. Anti-requisite: MA-UY 2514