Key concepts 12.8-12.9 + 13.1

  • Definition of constrained minima and maxima (minima og maxima med bibetingelse).
  • The orthogonal gradient theorem.
  • The method of Lagrange multipliers (Lagranges multiplikatormetode) with one or two constraints (to bibegrensninger).
  • Taylor's formula for functions of two variables (error formula for linear approximation, second derivative test).
  • Definition of double integrals.
  • Double integrals as volumes.
  • Fubini's theorem on multiple integrals and iterated integrals.
2013-02-27, Anders Samuelsen Nordli