Objectives
When you have finished this unit you should be able to...
Describe uses for, and construct equations or graphs of, space curves and parametric surfaces.
Find derivatives of space curves, and use this to find velocity, acceleration, and find equations of tangent lines.
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Describe uses for, construct graphs of, and find the domain or range of functions of several variables.
For functions of the form \(z=f(x,y)\text{,}\) this includes both 3D surface plots and 2D level curve plots.
For functions of the form \(w=f(x,y,z)\text{,}\) construct plots of level surfaces.
Describe uses for, and construct graphs of, vector fields and transformations.
Explain how to obtain a function for a vector field, or a parametrization for a curve or surface if you are given a description of the vector field, curve, or surface (instead of a function or parametrization),