I've been certain for the last couple years that I wish to pursue a career in research. I'm interested in the spectroscopy of proteins as a means of understanding biological mechanisms. The problem is that I would like to avoid a triple major if possible. Currently, I'm a community college student getting ready to transfer. I thought of my general chem classes like a sort of Feynman physics lectures, a dumbed down physics class that offered unique insight in other perspectives and applications. In the same light, I would like to enter upper division chem classes (like physical chemistry) with, first, a good understanding of intro Quantum Mechanics. If I double major biochem/neuroscience, then I need to learn the physics by myself. My plan for the next year (during free time):  "Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles" Eisberg and Resnick +Schaums  "Introduction to Quantum Mechanics" Griffiths +Schaums Is this plan feasible? I will only have taken a combined intro Linear Algebra/Differential equations class by the time I begin Griffiths QM book. How important are an understanding of Lagrangian/Hamiltonian Mechanics to QM? What math do I need, in what order, and which can be learned concurrently? Vector Calc, ODE/PDE, Linear Algebra, probability, analysis? Any help or advice is appreciated.