Disclaimer: I'm a product manager at Maplesoft. I've also worked at a Mathcad reseller as a trainer, so I know both products well.
Both Maple and Mathcad provide tools for *doing* calculus and linear algebra.
Maple also provides explicit support for the *teaching* of calculus and linear algebra. It has
interfaces that let you step through Gaussian and Gauss-Jordan elimination, deriving the inverse & eigenvalues of a matrix and more
interfaces that let you step through the solution of differentials and integrals
visualize cross products, vector projections and more
video lectures and course material (e.g. https://www.maplesoft.com/teachingconcepts)
internal experts that can demonstrate how best to use Maple to teach these concepts, for example, Dr Robert Lopez: https://www.maplesoft.com/applications/Author.aspx?mid=1629)
Maple also offers a gradual step up into more advanced tools for engineering and math.