Pretty neat offering I came across. Can take either online, or in-person. You can take it as continuing education, or for undergraduate credit. Horse Management Course | Rutgers NJAES Office of Continuing Professional Education | Formerly Cook College
Very cool, but as someone who has spent considerable time with horses (I was on the mounted unit for almost 6 years), I think there really should be a "hands on" component to the course, especially for a newbie to horses. They are huge animals, and can very intimidating to the uninitiated.
Not distance learning but Cal State U Pomona has degrees and a library associated with horses W. K. Kellogg Arabian Horse Center - Home