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Would you like to take these classes? How much money would you have to spend?
(For what it’s worth, I took differential equations and linear algebra before I took multivariable calculus, so I don’t consider them to be more advanced in the way that Calculus II is more advanced than Calculus I. Some colleges might set one as a prerequisite for the others, but they’re basically at the same level.)
Sort of, because they want you to take the most advanced classes available. But most people don’t have the option of taking multivariable calculus in their high school, and top schools can’t penalize anyone for not taking classes outside their high school because a lot of people have logistical and financial issues that prevent them from doing so. If you only want to take these classes because you think they’ll get you into a top school, then you shouldn’t take them.
You know that the college application process starts before you graduate, right? (Assuming you want to start college the fall after you graduate from high school.) Do you have an affordable safety school? Why do you want to go to Stanford?
You should take a real class whenever possible. Self-study is the blind leading the blind. It’s okay, but it’s not ideal.
This isn’t universally true, and you need to look at the policy of each university you’re interested in to figure out what they accept. </p>
<p>For example, Harvard [url=<a href=“https://college.harvard.edu/admissions/application-process/transferring-harvard-college/transfer-credits]says[/url”>Transfer Applicants]says[/url</a>] they won’t accept “dual-enrollment courses counted for credit toward a high school diploma,” which implies that they may accept them if they weren’t used to meet graduation requirements. Stanford [url=<a href=“Page Not Found : Stanford University”>Eligibility & Transfer Credit : Stanford University]says[/url</a>], “Students who are dual-enrolled in both high school and college programs should apply for freshman admission.” They have a list of the conditions a course needs to meet in order to transfer, and it doesn’t say anywhere that you can’t transfer a dual-enrollment course. I go to Case Western Reserve University, which has a similar [url=<a href=“http://case.edu/ugstudies/academic-policies/transfer-credit-other-colleges.html]policy[/url”>http://case.edu/ugstudies/academic-policies/transfer-credit-other-colleges.html]policy[/url</a>], and I’ve been able to transfer most of the dual-enrollment courses I took at a state university. </p>
<p>I imagine you might have trouble transferring a community college math class to a top university because it’s not likely to be up to their standards, but most colleges don’t have a blanket policy against transferring dual-enrollment courses. Overall, you will have the best chance of transferring your dual-enrollment classes if they were taken for a letter grade of C or higher, taken on a college campus, taught by college faculty, and not used to meet high school graduation requirements.</p>