| Textbook sections | Topics | Hours (approx.) |
| 1.1-1.7 |
Vectors in 2 and 3 dimensions: Vector notation, the dot product, equations
for planes and lines, n-dimensional geometry, coordinate systems.
| 6 |
| 2.1-2.6 |
Differentiation in several variables: Functions of several variables, graphing
surfaces in three dimensions, limits in several variables, partial derivatives,
Newton's method, directional derivatives and the gradient.
| 10 |
| 4.1-4.2 |
Maxima and minima in several variables:
first order differential approximation, critical points,
extrema of functions on compact regions.
| 8 |
| 5.1-5.5 |
Multiple integration:
areas and volumes, double and triple integrals,
changing the order of integration, integration in polar, spherical and cylindrical
coordinates.
| 8 |