MATH 215Calc Analy Geom III

Catalog

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. Prerequisite:?C?or better in MATH 112. 4 semester hours