| Week |
Sections from the Third Edition |
| 1 |
| 12.1: |
Functions of two variables |
| 12.2: |
Graphs of functions of two variables |
| 12.3: |
Contour diagrams |
| 12.4: |
Linear functions |
|
| 2 |
| 12.5: |
Functions of three variables |
| 12.6: |
Limits and continuity |
| 13.1: |
Displacement vectors |
| 13.2: |
Vectors in general |
| 13.3: |
The dot product |
| |
| 3 |
| 13.4: |
The cross product |
| 14.1: |
The partial derivative |
| 14.2: |
Computing partial derivatives algebraically |
|
| Midterm: |
Sections 12.1-14.2 |
| 4 |
| 14.3: |
Local linearity and the differential |
| 14.4: |
Gradients and the directional derivatives in the plane |
| 14.5: |
Gradients and the directional derivative in the space |
| 14.6: |
The chain rule |
|
| 5 |
| 14.7: |
Second order partial derivatives |
| 14.8: |
Differentiability |
| 15.1: |
Local extrema |
| 15.2: |
Optimization |
|
| 6 |
| 15.3: |
Constrained optimization: Lagrange multipliers |
| 17.1: |
Parametrized curves |
| 17.2: |
Motion, velocity, and acceleration |
|
Review |
|
| Final: |
Sections 12.1-15.3 and 17.1-17.2 |
