Four Ways of Using MathCheck

1. Problem web pages prepared by the teacher
   • we already saw a demo
2. Web course
   • a demo
3. Problems given by the teacher on paper             MathCheck home
   • “Compute `frac(del)(del x) sin^2 x^2`.”
   • student solution
     DD x sin^2 x^2 = 2 sin x^2 * DD x sin x^2 = 2 sin x^2 * cos x^2 * DD x x^2
     = 2 sin x^2 cos x^2 * 2x = 4x sin x^2 cos x^2 = 2x sin 2x^2
4. Students work entirely on their own
   • “What is wrong with my calculation?”
     assume n >= 0 enda
     (x+1)^(n+1) = (x+1) (x+1)^n >= (1+x) (1 + n x)
     = 1 + n x + x + n x^2 >= 1 + (n+1)x