Topics:

  • Be able to find the domain of vector-valued functions.
  • Be able to describe, sketch, and recognize graphs of vector-valued functions (parameterized curves).
  • Know how to differentiate vector-valued functions.
    • Consequently, be able to find the tangent line to a curve (as a vector equation or as a set of parametric equations).
  • Be able to determine angles between tangent lines.
  • Know how to use differentiation formulas involving cross-products and dot products.
  • Be able to evaluate indefinite and definite integrals of vector-valued functions as well as solve vector initial-value problems.