The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.
1 | 12 Sep (W) | 2.1, 2.2 | Coordinates and vectors in R3, spheres |
2 | 14 Sep (F) | 2.3, 2.4 | Dot and cross products |
3 | 17 Sep (M) | 2.5 | Lines and planes |
4 | 19 Sep (W) | 3.1, 3.2 | Space curves |
5 | 21 Sep (F) | 3.3, 3.4 | Arclength (no curvature, no normal/binormal vectors) and kinematics (no tangential and normal components of acceleration) |
6 | 24 Sep (M) | 4.1, 4.2 | Functions of two variables |
7 | 26 Sep (W) | 4.3 | Partial derivatives |
8 | 28 Sep (F) | 4.4 | Tangent planes and linear approximations |
9 | 1 Oct (M) | 4.5 | Chain rule (no implicit function theorem) |
10 | 3 Oct (W) | 4.6 | Directional derivative and gradient |
3 Oct (W) | Exam 1: covers through 2.1-4.4 | ||
11 | 5 Oct (F) | 4.7 | Maxima and minima |
12 | 8 Oct (M) | 4.8 | Lagrange multipliers |
13 | 10 Oct (W) | 5.1 | Double integrals over rectangles |
14 | 12 Oct (F) | 5.2 | Double integrals over general regions |
15 | 15 Oct (M) | 5.4 | Triple integrals |
16 | 17 Oct (W) | 5.3, 5.5 | Polar and cylindrical coordinates |
17 | 19 Oct (F) | 5.5 | Spherical coordinates |
18 | 20 Oct (S) | 5.7 | Change of variables, Jacobians |
19 | 22 Oct (M) | 6.1, 6.2 | Vector fields, scalar line integrals |
20 | 24 Oct (W) | 6.2 | Vector line integrals |
24 Oct (W) | Exam 2: covers 4.5-5.5 | ||
21 | 26 Oct (F) | 6.3 | Fundamental theorem of line integrals |
22 | 29 Oct (M) | 6.4 | Green's theorem |
23 | 31 Oct (W) | 6.5 | Divergence and curl |
24 | 2 Nov (F) | 6.6 | Parametrized surfaces |
25 | 5 Nov (M) | 6.6 | Surface integrals |
26 | 7 Nov (W) | 6.7 | Stokes's theorem |
27 | 9 Nov (F) | 6.8 | Divergence theorem |
28 | 12 Nov (M) | Wrap up | |
Date TBA | Final Exam: comprehensive |