Calc 2 and Linear Algebra?

At my school, Calc 2 is a prereq for Matrix (linear) Algebra.  I would really like to take these to together so that this summer I can move on to Differential Equations, Calc 3 and Intro to Abstract Math.  Do I need to get conscent from faculty, or should I just sign up?  Also, would it even be possible to take both together?  It seems to me like it would be fine...
I agree I don't see that the two overlap a great amount, I'm attempting to be a math major too...I just have to get through all these because I had changed my major twice before...

I emailed my calc 1 prof who is teaching the class this semester but he's really slow to respond and I don't want the seats to get taken up...