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 |