MATH 231
    
    COURSE DESCRIPTION: Calculus of Several Variables (2:2:0) Analytic
    geometry in space; partial differention and application.  Students
    who have passed MATH 230 may not schedule this course.
        
    PREREQUISITE: MATH 141.
    
    				TOPICS

   THREE-DIMENSIONAL ANALYTIC GEOMETRY AND VECTORS
    Three-Dimensional Coordinate Systems
    Vectors
    The Dot Product
    The Cross Product
    Equations of Lines and Planes
    Quadric Surfaces
    Vector Functions and Space Curves
    Arc Length and Curvature
    Motion in Space: Velocity and Acceleration
    Cylindrical and Spherical Coordinates


   PARTIAL DERIVATIVES
    Functions of Several Variables
    Limits and Continuity
    Partial Derivatives
    Tangent Planes and Differentials
    The Chain Rule
    Directional Derivatives and the Gradient Vector
    Maximum and Minimum Values
    Lagrange Multipliers