I have a BA and MA in political science.
The only math that I took as an undergrad was calc 1, calc 2, and elementary linear algebra...so yeah, I need to take a lot of math courses.
In grad school, I had stats courses on linear regression, logistic regression, statistical computing with R, multilevel modeling, etc...but the mathematical theory was often ignored. For example, in one of my classes, we used John Fox's "Applied Regression Analysis and Generalized Linear Models", which is pretty dense, but we rarely touched on the mathematical theory behind dummy variables, interaction terms, statistical modeling, etc.
Unfortunately, I'll be pursuing my second Bacheor's at a school which doesn't have a stats department (Univ of Kansas). They have a math department and supposedly offer some mathematical stats courses, but it doesn't seem to be a priority.