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Would it be wise for me to take the precal with trig this summer then take Calculus I by itself in the fall and then Physics I in the Spring so that I am able to reestablish a good base of math for myself because it's been so long and I'm not extremely skilled in it? Or would I be fine taking Physics I and Calculus I at the same time in the fall? I'm afraid that I may be kicking myself for taking them simultaneously if concepts are being covered in Physics I that require things I am still trying to learn or have yet to get to in my Calculus I class.

Just for clarity, here are the links to all three classes that describe what will be covered so that you may see whether or not there may be a problem:

Pre-cal with trig (irrelevant really, taking either way):

https://wwwb.is.tcu.edu/classsearch/showsyl.aspx?Syl=MATH100540024115

Calculus I: https://wwwb.is.tcu.edu/classsearch/showsyl.aspx?Syl=MATH105240604117

Physics I: https://wwwb.is.tcu.edu/classsearch/showsyl.aspx?Syl=PHYS204740104117

EDIT: I'm now noticing that the Physics I class has the option of "instructor approval", so a third option would be to take physics first and then Cal I in the Spring. Might that also be a possible option? Just throwing it out there.