Below is an approximate syllabus for the semester. I am updating it as we progress.
date section topic
======== ======= =================
R Sep 3 ch. 12 introduction to vectors
T Sep 8 ch. 12 (review): vectors, lines, planes
R Sep 10 ch. 12 (review), quiz
T Sep 15 13.1,3 speed and arc length
R Sep 17 13.4-5 principal unit normal, acceleration, and curvature
T Sep 22 13.5-6 binormal, osculating circle; ch 14 motivation
R Sep 24 14.1-3 limits, continuity, and differentiation
T Sep 29 14.4-5 directional derivatives and the chain rule
R Oct 1 14.6 tangent planes and differentials
T Oct 6 14.6-7 tangent planes, implicit differentiation, and extrema
R Oct 8 14.7 local extrema and 2nd derivative test
T Oct 13 14.8 constrained optimization and Lagrange multipliers
R Oct 15 15.1 double integrals
T Oct 20 ch 14 review (practice midterm)
R Oct 22 ch 14 first midterm (in class)
T Oct 27 15.3 integration with polar coordinates
R Oct 29 15.2,5 areas, moments, and centers of mass (2d and 3d)
T Nov 3 15.6 substitution in multiple integrals
R Nov 5 15.7 examples of triple integrals in various coordinate systems
T Nov 10 ch 15 vector fields and line integrals
R Nov 12 ch 15 intro to vector fields, line and work integrals
T Nov 17 ch 15 second midterm (in class)
R Nov 19 ch 16 conservative vector fields
T Nov 24 16.1-2 grad, div, curl
R Nov 26 - [Thanksgiving, no class]
T Dec 1 16.3-4 Green's Theorem
R Dec 3 16.5-6 surface integrals
T Dec 8 16.7-8 Stokes' circulation theorem
R Dec 10 16.8 Gauss's divergence theorem
T Dec 15 ch 16 review
R Dec 17 *** final, 12:25-2:25pm, place TBA.
(The final emphasizes chapter 16.)
In summary, for the 29-lecture semester:
time topic
======= =========================
3 lectures chapter 12 review
3 lectures chapter 13
7 lectures chapter 14, surfaces
2 lectures 1st midterm
5 lectures chapter 15, volumes
2 lectures 2nd midterm
7 lectures chapter 16, vector fields
final examination