Section titles

The following sections will be covered. Some sections will not be formally lectured on; you should read them on your own. This list may change as the term progresses.

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
10.1 Curves defined by parametric equations
13.1 Vector functions and space curves
13.2 Derivatives and integrals of vector functions
13.3 Arc length and 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
10.3 Polar coordinates
15.4 Double integrals in polar coordinates
15.5 Applications of double integrals
15.7 Triple Integrals
15.8 Triple Integrals in Cylindrical Coordinates
15.9 Triple Integrals in Spherical Coordinates
16.1 Vector fields
16.2 Line integrals
16.3 The fundamental theorem for line integrals
16.4 Green's theorem

Revised: Sun Aug 31 15:58:14 EDT 2014
Paul Gunnells

gunnells at math dot umass dot edu