I have been independently considering two edX courses in mathematics. The first, a course on probability theory drawing from a financial crisis case study, appeared to me plausibly comparable in scope to an actual undergraduate class in probability theory. However, the second, a course on partial differential equations emphasizing Fourier Series, looks like it might be much narrower in scope than an actual undergraduate class in PDEs. Glancing at the program which the latter belongs to, I wonder if it's more akin to the brief introduction to PDEs sometimes given at the end of an ODE class. This, needless to say, has caused me to question the probability theory course as well.
How does the scope and depth of an edX course compare to that of an average undergraduate class? Is the class more comparable to an entire edX program instead of an individual course? Does it depend on the specific program/course? If so, what criteria can be used to decide whether a particular course, such as the two I'm considering, would be sufficient to use as a self-study alternative to an undergraduate class on the subjects?