The "mechanics" of QM is linear algebra, so you should get a good base in LA before looking into QM. My upcoming book on LA has chapter on QM, specifically "ma

The "mechanics" of QM is linear algebra, so you should get a good base in LA before looking into QM. My upcoming book on LA has chapter on QM, specifically "matrix" quantum mechanics, which is the subset of quantum physics phenomena that can be represented using finite-dimensional vectors, matrices, projections, etc. For the full "physicsy" QM course, you'll need to learn about the wave function formalism, which is a bit more complicated...