Textbook sections | Topics | Hours (approx.) |

1.1-1.7 |
Vectors: points and vectors, dot product, cross product,
lines, planes, hyperplanes, coordinate systems, polar, cylindrical,
and spherical coordinates
| 6 |

2.1-2.6 |
Differentiation in several variables:
functions and their graphs, limits, derivatives, linearization and
differentiability, tangent planes, higher-order derivatives,
the chain rule, the gradient and its interpretations, directional
derivatives. (Skip Newton's Method, Sec. 2.4)
| 10 |

4.1-4.3 |
Maxima and Minima in Several Variables: differentials and
Taylor's theorem, critical points and extrema, Lagrange multipliers
| 9 |

5.1-5.4 |
Multiple Integration: double and triple integrals, changing
the order of integration, applications to areas and volumes
| 9 |

Office hours: Mon 3-4, Tue 11-12, Fri 10-11.

- There will be four homework assigmnents, due on Wednesdays, September 21, October 24, November 9 and 30. The homework will be challenging and essential. It is best to start working on it well in advance.
- The midterms will be held in class on Wednesdays, October 5 and November 16.
- The final examination date has been scheduled on
**December 20, 3:30 PM**. Attendance at the final examination is required, so be careful about making other commitments (such as travel).

Useful links:

- Drop-in Tutorial Schedule
- AMS old final exam database
- UBC Math Club, located in Math Annex 1119, sells math exam packages (old exams together with solution sets) for a nominal price before each final exam session.

[Mathematics Department] [University of British Columbia]