Catalog Description: CALCULUS OF SEVERAL VARIABLES (2) Analytic geometry in space; partial differentiation and application. (Students who have passed Math 230 may not schedule this course)

Prerequisite: Math 141

Text: Calculus, Third Edition, James Stewart, Brooks/Cole

CHAPTER 11 
THREE-DIMENSIONAL ANALYTIC GEOMETRY AND VECTORS
11.1  Three-Dimensional Coordinate Systems
11.2  Vectors
11.3  The Dot Product
11.4  The Cross Product
11.5  Equations of Lines and Planes
11.6  Quadric Surfaces
11.7  Vector Functions and Space Curves
11.8  Arc Length and Curvature
11.9  Motion in Space:  Velocity and Acceleration
11.10 Cylindrical and Spherical Coordinates

CHAPTER 12  PARTIAL DERIVATIVES
12.1  Functions of Several Variables
12.2  Limits and Continuity
12.3  Partial Derivatives
12.4  Tangent Planes and Differentials
12.5  The Chain Rule
12.6  Directional Derivatives and the Gradient Vector
12.7  Maximum and Minimum Values
12.8  Lagrange Multipliers

CHAPTER 13 MULTIPLE INTEGRALS13.1  Double Integrals over Rectangles13.2  Iterated Integrals
13.3  Double Integrals over General Regions
13.4  Double Integrals in Polar Coordinates
13.5  Applications of Double Integrals