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