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I don't know that every school has a math camp, but they are fairly common. Some are quite short; I'd guess average is 2 weeks. UMich started math camp on August 21. and regular classes began after Labor Day.
Math camp isn't mandatory for people who can test out of the math class, but I think you'd have to show up to take the test (and it may not be given the first day of math camp). Also, there are often other orientation activities that take place during math camp.
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