Tuesday, October 29 (pdf of Notes pages 1–7)  nb

• Material from Section 11.6
• Directional Derivatives
• The gradient vector
• Tangent plane to a level surface

Thursday, November 7 (pdf of Notes pages 8–13) 

• Material from Sections 11.7 and 11.8
• Optimization
• Method of Lagrange multipliers
• Examples

Tuesday, November 12 (pdf of Notes pages 14–18) 

• Material from Section 12.1
• Riemann sums
• Double integrals
• Fubini's Theorem
• Properties of double integrals

Thursday, November 14 (pdf of Notes pages 19–26) 

• Material from Sections 12.2 and 12.4
• Double integrals over any domain
• Slicing in x vs. slicing in y
• Changing order of integration
• Mass or charge of a lamina given a density function

Tuesday, November 19 (pdf of Notes pages 27–32) 

• Material from Sections 12.3 and 12.4
• Double integrals in polar coordinates
• Pirate coordinates
• Mass or charge density in polar coordinates

Thursday, November 21 (pdf of Notes pages 33–39) 

• Material from Section 12.5
• Triple integrals
• Projecting solids onto coordinate planes
• Density and average value in three dimensions

Tuesday, November 26 (pdf of Notes pages 40–42) 

• Material from Sections 12.6 and 12.7
• Cylindrical and Spherical Coordinates
• Converting from Euclidean Coordinates w/ group work