Class notes
The following are class notes given by section.
Chapter 12: Vectors and geometry of space
Section 12.1: Coordinate systems
Section 12.2: Vectors
Section 12.3: Dot product
Section 12.4: Cross product
Section 12.5: Equations of line and planes
Section 12.6: Cylinders and quadric surfaces
Chapter 14: Partial Derivatives
Section 14.1: Functions
Section 14.2: Limits and continuity
Section 14.3: Partial derivatives
Section 14.4: Tangent planes and Linear approximation
Section 14.5: The Chain rule
Section 14.6: Directional derivatives and gradient
Section 14.7: Maximum and minimum values
Section 14.8: Lagrange multipliers
Chapter 15: Multiple Integrals
Section 15.1/15.2: Integrals over rectangles
Section 15.3: Double integrals over general regions
Section 15.4: Double integrals over polar coordinates
Section 15.5: Applications of Integrals
Section 15.6: Triple Integrals
Section 15.7: Cylindrical coordinates
Section 15.8: Spherical coordinates