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* Explain linear approximation and the concept of the derivative being the best approximation of a function near a point
* Explain linear approximation and the concept of the derivative being the best approximation of a function near a point
* Conditions for differentiability
* Conditions for differentiability
* + Polar coordinates
* + Polar coordinates (I think there needs to be an extra paragraph about the polar axis)
* Examples of polar coordinates
* Examples of polar coordinates
* Parametric equations
* Parametric equations (the confusion is still there, need to fix the graph to avoid the confusion)
* Properties of limits
* Properties of limits
* Notation of derivatives
* Notation of derivatives

Revision as of 04:29, 27 January 2022

Update 3

  • Explain linear approximation and the concept of the derivative being the best approximation of a function near a point
  • Conditions for differentiability
  • + Polar coordinates (I think there needs to be an extra paragraph about the polar axis)
  • Examples of polar coordinates
  • Parametric equations (the confusion is still there, need to fix the graph to avoid the confusion)
  • Properties of limits
  • Notation of derivatives
  • Explains derivatives of higher orders
  • Chain rule
  • Where to add transcendental functions?
  • Explain the notation dy/dx (guidorizzi has it)
  • Limits at infinity, explain better than "Because x^2 grows without limits"
  • Properties of derivatives
  • Max and min
  • It may be wrong to say "for each epsilon", check that
  • Add proofs or at least links to the basic algebraic properties (add in that chapter, long division of polynomials and completing the square)

List de pessoas para contactar

  • Física com o Douglas
  • Rafael Procópio, matematica rio
  • Julia, matemaníaca
  • Teaching calculus, Lin McMullin
  • Paul Dawkins
  • Nerckie
  • Luiz Aquino
  • ulysses@uel.br
  • Susane ribeiro, ita