### Class notes

The following are class notes given by section.

Winter 2012 Term 1 Section 103

The following are class notes given by section.

**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**

**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**

**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**