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