Contacting a Professor Regarding Possible Schedule

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A math major accepted into two schools for transfer admission is seeking advice on how to effectively contact the head of the undergraduate program at a school in a different state. The individual is considering whether to introduce themselves with a brief email followed by a detailed one or to include all relevant information in a single email. They are contemplating sharing their current and prospective course lists to demonstrate their academic standing, particularly due to their independent study experience. It is suggested to first check the school's website for answers to common questions and to note that the program likely already has access to the student's transcript from their application. A single, comprehensive email is recommended for clarity and efficiency.
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I'm a math major who was accepted into two schools for transfer admission. One school is near my home, so I've spent a lot of time talking with the head of the undergraduate program about the courses I'd take if I went there. The other school is in a different state, though, so I haven't been able to visit.

What is the most appropriate way to contact the head of the undergraduate program there? Should I introduce myself with a short email and then send a longer one with all of my information (classes, grades, research experience) in another email when he responds? Or, should I write everything relevant about me in one email? Also, should I include the list of courses I'd take at my current school if I stayed another year and the courses I'd take at the other school? I think this information might help because, due to a lot of independent study, they're more indicative of where I'm at in math than the courses I've taken.
 
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First, look at the school's website to make sure you aren't asking any questions that can be answered by a quick search. (My school has a program you can use to see what transfer credit you'll get from class X at college Y.)

One email would probably suffice. They should already have your transcript if you've applied/been accepted, too.
 
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