<p>The school or its engineering division should have placement guidelines for students with AP calculus. Sometimes, old final exams of the courses that may be skipped are somewhere on the school’s web site, so the student can check his/her calculus knowledge using those old final exams.</p>
<p>It is very odd if the school does not allow students who place into a more advanced course to actually take the the more advanced course. What school is this?</p>
<p>Yes, students who skip courses with AP or college credit earned while in high school basically gain extra schedule space to take free electives, either in or out of their major (although the extra free electives tend to come in later semesters, since incoming frosh in this situation tend to just take the more advanced required courses in math, physics, etc.). If the school allows unit credit as well as subject credit for the AP scores, there is also the option to take no additional courses in place of the skipped courses. Early graduation is also an option in the latter case.</p>
<p>The sophomore level math courses one usually takes after frosh calculus are multivariable calculus, linear algebra, and differential equations.</p>