I assume by MVC expands to multivariate calculus? In which case, I don't think it makes sense to do multivariate calculus before linear algebra. The derivativ

I assume by MVC expands to multivariate calculus? In which case, I don't think it makes sense to do multivariate calculus before linear algebra. The derivative of a multivariate function f: R^n → R^m at a point x is a linear map L: R^n → R^m so that f(x + v) = f(x) + Lv + o(|v|) for small v. That means that multivariate calculus is about approximating nonlinear functions using linear ones in a small neighborhood, which enables you to apply tools from linear algebra to it. You can kind of do multivariate calculus without linear algebra by essentially treating f as a collection of m × n univariate functions that you do ordinary calculus with (lots of partial derivatives) but I doubt it would be very enlightening.