Understand and use three-dimensional coordinate systems.
20%
20%
20%
20%
20%
20,
20,
20,
20,
20
10%
Work comfortably with vectors in any dimension.
20%
20%
20%
20%
20%
20,
20,
20,
20,
20
10%
Describe vector-valued functions in terms of domain, graph and range, and be able to find quantities associated with them such as velocity, arc-length and curvature.
20%
20%
20%
20%
20%
20,
20,
20,
20,
20
10%
Describe the dimension of the domain or range of a given function.
20%
20%
20%
20%
20%
20,
20,
20,
20,
20
10%
Describe multivariable functions in terms of domain, graph and range, and be able to describe level curves.
20%
20%
20%
20%
20%
20,
20,
20,
20,
20
10%
Find and interpret partial derivatives from either an equation or data.
20%
20%
20%
20%
20%
20,
20,
20,
20,
20
10%
Find the integral of a function of several variables in the most convenient coordinates.
20%
20%
20%
20%
20%
20,
20,
20,
20,
20
10%
Use partial derivatives to linearly approximate functions.
20%
20%
20%
20%
20%
20,
20,
20,
20,
20
10%
Solve optimization problems with or without constraints.
20%
20%
20%
20%
20%
20,
20,
20,
20,
20
10%
Find the volume under a surface within a specified domain.
