<p>
Yes there are books titled “College Algebra”. The topics are still algebra, trig, and pre-calculus at best. And pre-calculus is still high school level math. The students resorting to these courses once they are in college did not get enough preparation at the high school level (or they are rusty or not confident with their skills). Some schools accept a course of this material as fulfilling their “math requirement” and others don’t.</p>
<p>Think about it. The student who arrives at college prepared for Calculus I must have gotten this material already somewhere. Either that or the material in your hypothetical course is so esoteric or arcane as to be irrelevant to the understanding of any future mathematics the individual may choose to study, since the course isn’t required at the college level as a precursor to any other math course of anyone but the underprepared.</p>