Math 11

Multivariable Calculus for First-Term Students with BC Calculus

Syllabus

The following is a tentative syllabus for the course. It may be adjusted as the course progresses.
Check also the Homework Assignments page.

Lectures	Sections in Text	Brief Description
9/15	12.1, 12.2	coordinates and vectors in ${\mathbb R}^3$, spheres
9/17	12.3, 12.4	dot and cross products (no direction angles)
9/19	12.5	lines and planes
9/22	13.1-13.2	space curves
9/24	13.3-13.4	arclength and kinematics (13.3 no curvature, 13.4 through p889)
9/26	14.1-14.2	functions of two variables
9/29	14.3	partial derivatives
10/1	14.4	tangent planes and linear approximations
10/3	14.5, 14.6	chain rule (no implicit function theorem)
10/6	14.6	directional derivative and gradient
10/8	14.7	maxima and minima
10/9	Exam 1	covers through 14.6
10/10	14.8	Lagrange multipliers
10/13	16.1-16.2	vector fields, scalar line integrals
10/15	16.2	vector line integrals
10/17	16.3	fundamental theorem of line integrals
10/20	15.1, 15.2	double integrals over rectangles
10/22	15.3	general planar domains
10/24	15.7	triple integrals
10/27	15.4, 15.8	polar and cylindrical coordinates
10/29	15.9	spherical coordinates
10/30	Exam 2	covers through 15.8
10/31	15.10	change of variable, Jacobians
11/3	16.4	Green's theorem
11/5	16.5	divergence and curl
11/7	16.6	parametrized surfaces
11/10	16.7	surface integrals
11/12	16.8	Stokes' theorem
11/14	16.9	divergence theorem
11/17		wrap up
11/21	Final Exam	3:00 pm

Last updated July 18, 2017 09:28:14 EDT