MATH 215 - Calculus and Analytic Geometry III

4 Credit(s)

Prerequisites: MATH 112; minimum grade C
Vectors; two and three-dimensional vector spaces, Cartesian coordinates, scalar and vector product, triple products, normal vectors and curvature, tangential vectors. Partial differentiation; functions of several variables, linear approximations, extrema of surfaces, Lagrange multipliers. Vector calculus and analytic geometry, gradient of a scalar function, divergence and curl of vector functions. Coordinate systems; spherical and cylindrical coordinates. The Jacobian of transformation. Multiple integrals in Cartesian and other coordinate systems. Areas and volumes. Stroke’s Theorem and Green’s Theorem. Offered: Spring/Summer/Fall