Fall
Week 1. 10.5 conic sections and 10.1 curves defined by parametric equations
Supp. A proof on the location of foci of hypoerbola written in standard form (one student asked me)
Week 2. 10.2 calculus with parametric curves and 10.3 polar coordinates (integrated to 10.4 below)
Week 3. 10.3 and 10.4 areas and arc lengths in polar coordinates and 12.1 three-dimensional coordinate systems
Week 4. 12.2 vectors and 12.3 the dot product and 12.4 the cross product
Week 6. 12.6 cylinders and quadric surfaces and 13.1 vector functions and space curves
Week 7. 13.2 derivatives and integrals of vector functions and 13.4 motion in space: velocity and acceleration
Week 8. 14.1 functions of several variables and 14.2 limits and continuity (of functions of several variables)
Week 9. Reading week
Week 10. 14.3 partial derivatives and 14.4 tangent planes and linear approximations
Week 11. 14.5 chanin rules
Week 12. 14.6 directional derivatives and gradient vectors 14.7 maximum and minimum values (integrated to 14.7 below)
Week 13. 14.7 maximum and minimum values and 14.8 Lagrange multipliers (integrated to 14.8 below)
Winter
Week 2. 15.2 and 15.3
Week 3. 15.4 and 15.5, 15.6
Week 4. 15.7 and 15.8
Week 5. 15.8(continued) and 15.9
Week 6. Reading week
Week 8. 16.2(continued) and 16.3
Week 9. 16.4 and 16.5
Week 10. 16.6 and 16.7
Week 11. 16.7 (continued)
Week 12. 16.8
Week 13. 16.9