Course Description

• 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.
• Stoke's and Green's theorems.

Prerequisites

• "C-" or better in Math 112

Classes

4 semester hours