Lectures	Sections in Text	Brief Description
9/16	12.1, 12.2	coordinates and vectors in ${\mathbb R}^3$, spheres
9/18	12.3, 12.4	dot and cross products (no direction angles)
9/20	12.5	lines and planes
9/23	13.1-13.2	space curves
9/25	13.3-13.4	arclength and kinematics (13.3 no curvature, 13.4 through p889)
9/27	14.1-14.2	functions of two variables
9/30	14.3	partial derivatives
10/2	14.4	linear approximations
10/4	14.5, 14.6	chain rule (no implicit function theorem)
10/7	14.6	directional derivative and gradient
10/9	14.7	maxima and minima
10/10	Exam I	covers through 14.6
10/11	14.8	Lagrange multipliers
10/14	16.1-16.2	vector fields, scalar line integrals
10/16	16.2	vector line integrals
10/18	16.3	fundamental theorem of line integrals
10/21	15.1, 15.2	double integrals over rectangles
10/23	15.3	general planar domains
10/25	15.7	triple integrals
10/28	15.4, 15.8	polar and cylindrical coordinates
10/30	15.9	spherical coordinates
10/31	Exam II	covers through 15.7
11/1	15.10	Change of variable, Jacobians
11/4	16.4	Green's theorem
11/6	16.5	divergence and curl
11/8	16.6	parametrized surfaces
11/11	16.7	surface integrals
11/13	16.8	Stokes's theorem
11/15	16.9	divergence theorem
11/18		wrap up
11/22	Final Exam	11:30 am

Thomas R. Shemanske
Last updated June 27, 2016 13:25:41 EDT