Directional derivatives and the gradient

Learning objectives

  • Work with vectors in 2 and 3-space
    • Linear algebra: linear combinations of vectors
    • Geometry: lengths (magnitude) and angles
    • Dot product, geometrically and algebraically
    • Projection of one vector on another vector
  • Compute and interpret diirectional derivatives, numerically and using the gradient
  • Interpret  the gradient vector geometrically
  • Optimize a function by performing a gradient search


In class