MATH 230
    
    COURSE DESCRIPTION: Calculus and Vector Analysis (4:4:0) Three-
    dimentional analytic geometry; vectors in space; partial
    differention; double and triple integrals; integral vector
    calculus.  Students who have passed either MATH 231 or 232 may
    not schedule MATH 230 for credit.     

    PREREQUISITES: 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

   MULTIPLE INTEGRALS
    Double Integrals over Rectangles
    Iterated Integrals
    Double Integrals over General Regions
    Double Integrals in Polar Coordinates
    Applications of Double Integrals
    Surface Area
    Triple Integrals
    Triple Integrals in Cylindrical and Spherical Coordinates
    Change of Variables in Multiple Integrals

   VECTOR CALCULUS
    Vector Fields
    Line Integrals
    The Fundamental Theorem for Line Integrals
    Green's Theorem
    Curl and Divergence
    Parametric Surfaces and Their Areas