# Worksheet 25: “0/0 & infinity/infinity”

This WS introduces the cases 0/0 and infinity/infinity when x tends to c or to infinity. It displays a geometric proof of Cauchy’s mean value theorem and a proof of the case infinity/infinity via infinitesimals. Examples are discussed. WS 25 l’Hôpital

# Worksheet 24: “Convolution…”

Once the moving average grounds the Calculus I course, it would be a pity not to show that it is a particular case of a more general operation called convolution. We took the opportunity to introduce Dirac delta function as he unitary operator under convolution. WS-24 Convolution

# Worksheet 22: “Minimum and maximum”

This WS presents detailed solutions, by cartesian and by polar coordinates, of the optimization problem: find the maximum total area of a cylinder inscribed in a sphere. The solution has a minimum of words; the students are required to explain he passages. The apparently strange solution given by MAPLE is discussed. WS-22: Maximum area of Read more about Worksheet 22: “Minimum and maximum”[…]