Local linearity

Learning objectives

  • Use differentials to make linear approximations
  • Use the gradient to compute directional derivatives
  • Understand the geometry of the gradient

Before class

  • Read Hughes-Hallett sections 14.3, 14.4, 14.5.
  • Ponder Hughes-Hallett problems: 14.3: 1, 17, 18, 20, 24, 26; 14.4: 1, 7, 17, 23, 30-35, 48, 64, 65, 66, 74; 4.5: 9, 15, 33, 49, 54.
  • Post to Piazza

In class