Calculus Book Status

[yustarandomname]

There will be a demand for applets:

• [Lower PRIO] Direction fields (2D / 3D)

• Want to draw curves (Fixed differential equations (y' = ...), plot direction, draw 1 solution, have 1 point draggable, solution goes through)

• [Highest PRIO] Parameterized curves and [Lower PRIO] surfaces (2D / 3D)

  • Surface in 3D ((u,v) = [u+v, u^2 - v, \sin(u)])
  • Given a surface (S) (a sphere (x^2+y^2+z^2=4)), insert parameterized function, get confettify if equal

• Tangent line with 2 points that you can drag along a curve? Ask @ChristopheTUD for more info

• Plotting sequence points of an expression and make sure you can convert it to a curve again

• [High prio] Riemann sums simple, double, and polar integrals (2D / 3D)

  • Given is a fixed function y = f(x)
  • Slider for number of divisions
  • dropdown for: lower, upper, left, right, middle, random (somewhere between [dx, dx+1]) [sum]

• Level curves (https://prime-applets.ewi.tudelft.nl/prime-interactive-videos/#/part2)

TODO

• Create sub issues of these points
  • Assign who ever wants to take responsibility of these points
  • Create a sketch of what needs to be developed
  • Ask Christophe for feedback on these sketches