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Lecture notes and summary on multivariable calculus. Parts from the lecture (vana@FHNW) a lot from MIT 18.02 Multivariable Calculus and various other online resources. I have linked corresponding videos wherever possible.

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Keywords:

  • Partial Differential
  • Chain Rule
  • Implicit Differentiation
  • Gradient
  • Directional Derivative
  • Hessian Matrix
  • Tangent Plane Approximation
  • Taylor Polynomial
  • Critical Point Classificatoin (min/max/saddle)
  • Lagrange Multiplier
  • Least Square Interpolation