I can understand your approach. It helps to learn a topic (like linear algebra) when you can immediately see it's applications. However, I'm not sure it would w

I can understand your approach. It helps to learn a topic (like linear algebra) when you can immediately see it's applications. However, I'm not sure it would work here; for one, quantum mechanics is not an "easily" understood application, like, say PCA, or DFT, or other such things.