Yes, it is substantially different with respect to content than standard undergraduate mathematics programs. It covers a few historically important texts and does not teach (if those texts are any indication) most of what is usually taught in an undergraduate math degree. (A poster above writes: "Freshman math was almost entirely the study of Euclid and Nicomachus.")
So this is the books used in an undergraduate liberal arts degree (your degree is IN liberal arts). These are the math tagged books in a quirky bachelors in philosophy degree, essentially. They do not have a math degree (or any degrees aside from bachelors in liberal arts?).
I see - I understood "liberal arts program" above to mean a liberal arts college in general (typically offering a mathematics major). I agree that this reading list is better suited for something like "history of math for humanities students."