Differential and Integral Calculus III

Math 2934-012, Fall 2016 (http://www.math.ou.edu/~forester/2934F16)

Syllabus — This is a tentative schedule for the class. I will update it as we go to reflect what we actually cover in class.

Week	Date		Topic
1	8/23	T	12.1-12.4 Review of vectors and vector algebra
	8/24	W	12.5 Equations of lines and planes
	8/25	R	12.6 Cylinders and quadric surfaces
2	8/30	T	13.1 Vector functions and space curves
	8/31	W	13.2 Derivatives of vector functions
	9/1	R	13.3 Arc length
3	9/6	T	13.4 Motion in space: velocity and acceleration
	9/7	W	14.1 Functions of several variables
	9/8	R	14.1
4	9/13	T	14.3 Partial derivatives
	9/14	W	14.4 Tangent planes and linear approximation
	9/15	R	Review
5	9/20	T	Exam 1
	9/21	W	14.4
	9/22	R	14.5 The chain rule
6	9/27	T	14.6 Directional derivatives and the gradient
	9/28	W	14.7 Maximum and minimum values
	9/29	R	14.7
7	10/4	T	14.8 Lagrange multipliers
	10/5	W	14.8
	10/6	R	15.1 Double integrals over rectangles
8	10/11	T	15.1
	10/12	W	15.2 Double integrals over general regions
	10/13	R	15.2
9	10/18	T	15.3 Double integrals in polar coordinates
	10/19	W	15.3
	10/20	R	Review
10	10/25	T	Exam 2
	10/26	W	15.5 Surface area
	10/27	R	15.6 Triple integrals
11	11/1	T	15.7, 15.8 Cylindrical and spherical coordinates
	11/2	W	15.8
	11/3	R	16.1, 16.2 Vector fields and line integrals
12	11/8	T	16.2
	11/9	W	16.3 The fundamental theorem of line integrals
	11/10	R	16.3
13	11/15	T	16.4 Green's theorem
	11/16	W	16.5 Curl and divergence
	11/17	R	Review
14	11/22	T	Exam 3
	11/23	W	Thanksgiving, no class
	11/24	R	Thanksgiving, no class
15	11/29	T	16.5, 16.6 Parametrized surfaces
	11/30	W	16.6
	12/1	R	16.7 Surface integrals
16	12/6	T	16.9 The Divergence theorem
	12/7	W	16.9, Review
	12/8	R	Review
17	12/12	M	Final Exam 8:00-10:00 am