Lecture schedule for Mth 241W B. Hassard Aug. 27 2007
8/28 12.1 Three-dimensional Coordinate Systems
12.2 Vectors
8/30 12.3 Dot Product
12.4 Cross Product
9/4 12.5 Equations of Lines and Planes
12.6 Cylinders and Quadric Surfaces
9/6 13.1 Vector Functions and Space Curves
9/11 13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature
9/18 13.4 Motion in Space: Velocity and Acceleration
9/20 14.1 Functions of Several Variables
9/25 14.2 Limits and Continuity
9/27Test 112.1-14.1
10/2 14.3 Partial Derivatives
10/4 14.4 Tangent Planes and Linear Aproximations
14.5 The Chain Rule
10/9 14.6 Directional Derivatives and the Gradient Vector
10/11 14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers
10/16 15.1 Double Integrals over Rectangles
10/18 15.2 Iterated Integrals
15.3 Double Integrals over General Regions
10/23 15.4 Double Integrals in Polar Coordinates
15.5 Applications of Double Integrals
10/25 15.6 Triple Integrals
10/30 15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
11/1Test 214.2-15.5
11/6 16.1 Vector Fields
11/8 16.2 Line Integrals
16.3 Fundamental Theorem for Line Integrals
11/13 16.4 Green's Theorem
16.5 Curl and Divergence
11/15 16.6 Parametric Surfaces and Their Areas
11/20 16.7 Surface Integrals
11/27 16.8 Stokes' Theorem
11/29 16.9 The Divergence Theorem
12/4Review 
12/6Test 315.6-16.9