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I know this forum has gotten a lot of questions like this but none of them really fit my particular needs so I thought I would ask it again.

Do the math subjects I am interested in lead me to Quantum Mechanics? If not what would be the best place for me given my passions (see below).

These are the subjects I find interesting. I simply devoured Calculus 1-Calculus 3 (Derivatives, Integrals, Vector Calculus, Sequences and Series, Partial Derivatives, and Double/Triple Integrals). While I was taking those I was grabbing Linear Algebra books from the library and reading them in my spare time and I was disappointed I couldn’t take the class on Differential Equations. From what I understand these are the subjects that will ultimately direct me to Quantum Mechanics. Is this correct? What else?

Secondly, I was wondering what kind of occupation I would have if I decide to do Quantum Mechanics. Quite frankly I don’t want to end up being a teacher for my whole life. I would like to have a long carrier first then later in my life become a teacher. So what kind of work is there for someone who does QM?

Thanks,

Tristan Barrow