Recent years have seen many attempts to program learning based on many principles ranging from intuition to mathematics. The area of criterion establishment for advancement or conversely additional training at the same or lower levels remains primarily in the realm of intuition. The intuition used is only as good as the experience and background of the program designer however. In the case of a very experienced program designer the criteria may be very efficient. In the case of less experienced program designers the criteria are usually arbitrary. The report describes a method of analyzing learning programs determining mathematically sound criteria. The mathematical foundation for this analysis is the Markovian learning model as opposed to the linear learning model. (Author)