Below is the lecture number, followed by the date of that lecture, followed by the relevant sections of the textbook, followed by the topic.  The midterm and final also appear in the schedule.

Lectures will basically follow the textbook, and you won't be responsible for anything not in the textbook, but I will certainly put my own spin on the material  --- in particular, I will emphasize certain topics more than others in lecture, and you can expect these to be the topics that will be tested.

Please note that topics listed for a given lecture may be covered in the previous or subsequent lecture.  For extra practice, the review problems at the ends of the chapters are highly recommended.

Finally, note that I might sometimes bring up things in lecture that are not on this list, but you won't be tested on anything not on this list.

1, June 22, 10.1-10.2;  Introduction; parametric curves, calculus with parametric curves
2, June 23, 10.3-10.4;  Polar co-ordinates, areas and lengths in polar coordinates
3, June 24, 12.2-12.4; Vectors, dot product, cross product
4, June 25, 12.5; Equations of Lines and Planes
5, June 26, 12.6; Equations of Cylinders and Quadric surfaces
6, June 29, 13.1; Vector-valued functions and space curves
7, June 30, 14.1; Functions of several variables
8, July 1, 14.3; Partial derivatives, 
9, July 2, 14.4; Tangent planes and linear approximations
10, July 6, 14.5; The chain rule 
11, July 7, 14.5-14.6; More chain rule; directional derivatives and the gradient
12, July 8, 14.7; Maxima and minima
13, July 9, 14.7-14.8; More maxima and minima; Lagrange multipliers
14, July 10, 14.8; More Lagrange multipliers
15, July 13, 15.1; Double integrals over rectangles
16, July 14, 15.3; Double integrals over general regions
17, July 15, 15.4; Double integrals in polar co-ordinates
18, July 16, REVIEW
19, July 17, REVIEW
20, July 20, MIDTERM, Lectures 1-18
21, July 21, 15.6; Triple integrals
22, July 22, 15.7; Triple integrals in cylindrical coordinates
23, July 23, 15.8; Triple integrals in spherical coordinates
24, July 24, 15.9; Change of variables, Jacobians
25, July 27, 16.1; Vector fields
26, July 28, 16.2-16.3; Line integrals, the fundamental theorem of line integrals
27, July 29, 16.4; Green's theorem I
28, July 30, 16.4-16.5; Green's theorem II, Curl and divergence
29, July 31, 16.6; Parametric surfaces
30, August 3, 16.6-16.7; More parametric surfaces; surface integrals
31, August 4, 16.7; More surface integrals
32, August 5, 16.8; Stokes' theorem I
33, August 6, 16.8; Stokes' theorem II
34, August 7, 16.9; Divergence theorem I
35, August 10, 16.9; Divergence theorem II
36, August 11, REVIEW I
37, August 12, REVIEW II
38, August 13, FINAL, Lectures 1-36
39, August 14, Finals, final grades returned; "party"; Introduction to differential forms and generalized Stokes' theorem