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[quote=Anonymous][quote=Anonymous]DS will take calc BC as a junior and will have several options for math classes senior year, including MVC, linear algebra, and an advanced math seminar. If he takes MVC and/or linear algebra, will he likely need to repeat in college?

Similarly, he will take physics C mechanics junior year. If he takes E&M senior year, will he be able to start with advanced physics in college?[/quote]

It depends on the college and the kid. Both of mine started in MVC, one had taken it as well as LA/partial differentials in high school one had stopped at BC. One Engineering one premed, and it was no problem for either to start in MVC. The high school is a known challenging private that taught above and beyond the AP coursework, and both are at T10, one ivy one not, neither is MIT. YMMV from a weaker high school or at a different college. Most of the engineering kid's college friends started in MVC, and many had already taken it in high school albeit not as rigorous a course as the college version. Plenty of premeds start in MVC too, then take Stats and are done with math after freshman year or at least that is how it is advised there. If you start in MVC or BC, which seem to be the predominant starting places for premeds there: take that then stats then no more unless you want to major in math and be premed.
Physics C Mechanics with a 5 for one school and a high placement score for the other school allows one to skip the first semester of college calc-based physics. Physics C E&M credit/placement seems more variable based on the schools my kids seriously considered. The engineering student placed out of mechanics, the premed decided not to because that school advises two semesters of physics based coursework taken in the college for med school even with AP credit; they were not as confident in physics and did not have higher levels they were trying to get to. It was nice to have an easier A and it was, as promised, much harder than the AP course by many levels of magnitude. The engineering student got to start in Phys E&M and get to upper level coursework in their major and second E-major sooner. 
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