<p>Check the transferability of the dual-credit class. If it is a real true college course, the credits should transfer just about anywhere. And if it is real, live Calculus 1 then that is what it will transfer as. Don’t as your teacher, ask the registrar’s office at the college/university that offers it.</p>
<p>A high school course with AP in its name will not give you any college credit or advanced placement into a higher level math course in college. It is just one more math class on your HS transcript. For credit and/or placement, you would need to take the AP exam and/or a placement exam at the college/university where you ultimately enroll.</p>
<p>If an equivalent amount of material is covered in the two courses you are considering (compare the textbooks and course syllabi), I would definitely go for the dual-enrollment as it will yield more bang for your buck/effort.</p>