Here are the worked-out notes from class.
Tuesday, August 25 (Section 11.1)
Thursday, August 27 (Sections 11.1, 11.2, 11.3)
Tuesday, September 1 (Section 11.3)
11.4: The cross product (Tuesday, September 1 and Thursday, September 3)
11.5: Lines and planes in space (Thursday, September 3 and Tuesday, September 8)
11.6: Surfaces in space (Tuesday, September 8 and Thursday, September 10)
11.7: Cylindrical and spherical coordinates (Tuesday, September 15)
12.1: Vector-valued functions (Tuesday, September 15 and Thursday, September 17)
12.2: Differentiation and integration of vector-valued functions (Thursday, September 17 and Tuesday, September 22)
12.3: Velocity and acceleration (Tuesday, September 22)
12.4: Tangent vectors and normal vectors (Tuesday, September 22 and Thursday, September 24)
12.5: Arc length and curvature (Thursday, September 24 and Thursday, October 1)
13.1: Functions of several variables (Thursday, October 1)
13.2: Limits and continuity (Tuesday, October 6)
13.3: Partial derivatives (Tuesday, October 6)
13.4: Differentials (Thursday, October 8)
13.5: Chain rules for functions of several variables (Thursday, October 8 and Tuesday, October 13)
13.6: Directional derivatives and gradients (Tuesday, October 13)
13.7: Tangent planes and normal lines (Tuesday, October 13 and Wednesday, October 15)
13.8: Extrema of functions of two variables (Thursday, October 15 and Tuesday, October 20)
13.9: Applications of Extrema (Tuesday, October 20 and Thursday, October 22)
13.10: Lagrange multipliers (Thursday, October 22 and Thursday, October 29)
14.1: Iterated integrals and area in the plane (Thursday, October 29 and Tuesday, November 3)
14.2: Double integrals volume (Thursday, November 5)
14.3: Change of variables: Polar coordinates (Thursday, November 5 and Tuesday, November 10)
14.4: Center of mass and moments of inertia (Tuesday, November 10)
14.5: Surface area (Thursday, November 12)
14.6: Triple integrals and applications (Thursday, November 12 and Tuesday, November 16)
15.1: Vector fields (Tuesday, November 24)
15.2: Line integrals (Tuesday, December 1)
15.3: Conservative vector fields and independence of path (Thursday, December 3)
15.4: Green’s Theorem (Thursday, December 3)