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It may not be as bad as you think. I looked up the Bachelor of Arts program at the nearest University (Drexel) and found the following required courses.

History of Math

Math

Computer programming

Techniques of Analysis/Evaluation

History of Science

Quantitative Research Methods

BIO 103 and 104, or CHEM 101 and CHEM 102 or PHYS 103 and PHYS 104

I'll bet the LA majors dislike the last requirements even more that Engineering students dislike the LA requirements.

History of Math is history.
Math is usually a remedial course that should have been taken during the freshman year inhigh school (rudimentary algebra).
Computer programming may be teaching logical and disciplined thinking, but it has nothing to do with mathematics.
Techniques of Analysis/Evaluation That's Aristotle, not mathematics or science.
History of Science is history.
Quantitative Research Methods usually deals with surveys, including questionnaire design (more psychology, if anything), some sampling tecgniques, with emphasis on how-to.

Now, the rest are usually science courses:
BIO 103 and 104, or CHEM 101 and CHEM 102 or PHYS 103 and PHYS 104

Usually, Phys 101-102 and 201-202 are a required three- or four-semester sequence for scientists and engineers. Phys 103 must be "Physics for Poets." It is, however, indeed a physics appreciation course: totally devoid of mathematics, it does not constitute a physics course per se.

I know of one college, which I respect greatly, that respects the fundamentals: St. John's. But in the area of science they go overborard: in their bookstore, I saw reproductiond of Newton's works required for some course. To study mathematics, you do not need to go to such sources!