<p>I think it would be good for her to start in math 240 (ODEs, vector calculus, a bit of linear algebra) and then take Math 312. This is a more in depth linear algebra that would be useful to people in engineering or the physical science. I don’t think there is a need to retake MV Calc (most of which is done in 114, apart from vector calculus which is in 240) since it sounds like she knows it and 114 is also a very poorly taught class. Math 240 is usually poorly taught too (unless a good professor happens to be teaching that semester) but it sounds like it would be of more use to your daughter.</p>