Syllabus

The following is a tentative syllabus for the course.

Day Lectures Sections in Text Brief Description
1 12 Sep (M) 12.1, 12.2 Coordinates and vectors in R3, spheres
2 14 Sep (W) 12.3, 12.4 Dot and cross products
3 16 Sep (F) 12.5 Lines and planes
4 19 Sep (M) 13.1, 13.2 Space curves
5 21 Sep (W) 13.3 (pp. 901-903),
13.4 (pp. 910-913, 916-917)
Arclength (no curvature, no normal/binormal vectors)
and kinematics (no tangential and normal components of acceleration)
6 23 Sep (F) 14.1, 14.2 Functions of two variables
7 26 Sep (M) 14.3 Partial derivatives
8 28 Sep (W) 14.4 Tangent planes and linear approximations
9 30 Sep (F) 14.5 Chain rule (no implicit function theorem)
10 3 Oct (M) 14.6 Directional derivative and gradient
11 5 Oct (W) 14.7 Maxima and minima
5 Oct (W) Exam 1: covers through 12.1-14.5
12 7 Oct (F) 14.8 Lagrange multipliers
13 10 Oct (M) 15.1 Double integrals over rectangles
14 12 Oct (W) 15.2 General planar domains
15 14 Oct (F) 15.6 Triple integrals
16 17 Oct (M) 15.3, 15.7 Polar and cylindrical coordinates
17 19 Oct (W) 15.8 Spherical coordinates
18 21 Oct (F) 15.9 Change of variable, Jacobians
19 24 Oct (M) 16.1, 16.2 Vector fields, scalar line integrals
20 26 Oct (W) 16.2 Vector line integrals
26 Oct (W) Exam 2: covers 14.6-15.9
21 28 Oct (F) 16.3 Fundamental theorem of line integrals
22 31 Oct (M) 16.4 Green's theorem
23 2 Nov (W) 16.5 Divergence and curl
24 4 Nov (F) 16.6 Parametrized surfaces
25 7 Nov (M) 16.7 Surface integrals
26 9 Nov (W) 16.8 Stokes's theorem
27 11 Nov (F) 16.9 Divergence theorem
28 14 Nov (M) 16.10 Wrap up
18 Nov (F) Final Exam: comprehensive