I suppose BA focuses on depth and BS is broader. With BA discipline, I reckon it is possible to do independent thinking. That's not to say that BS is not good; it depends what you want.
If I had a choice; a good mix of pure and applied maths is a good hedge
At my university the BA and BS degrees differ in the required general education courses. You would have to take more science courses for a BS while you would have to take more humanities/art type of courses for a BA.
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