Math 233
Course Outline

TEXT: "Calculus, Early Transcedentals" 5th Ed. by J. Stewart

Brooks/Cole Publishing Co., 2003.

12.1 Three-Dimensional Coordinate Systems.
12.2 Vectors
12.3 The Dot Product
12.4 The Cross Product
12.5 Equations of Lines and Planes
12.6 Cylinders and Quadric Surfaces

10.1Curves Defined by Parametric Equations
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length (omit Curvature)
13.4 Motion in Space: Velocity and Acceleration

14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers

15.1 Double Integrals over Rectangles
15.2 Iterated Integrals
15.3 Double Integrals over General Regions
10.3Polar Coordinates
15.4 Double Integrals in Polar Coordinates

16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem for Line Integrals
16.4 Green's Theorem

Starred Sections are only to be briefly reviewed.

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