What Math Should I Know for Classical and Quantum Mechanics?

[intwo]

I'm interested in taking Classical and Quantum Mechanics courses next year at my university; however, I won't be able to take the prerequisite mathematics courses due to scheduling conflicts. I have taken differential calculus, integral calculus, and vector calculus and I will be taking an Ordinary Differential Equations course over the summer. If anyone could supply me or direct me to a list of suggested concepts, it'd be extremely beneficial. Books, websites, etc - whatever will explain the concepts thoroughly. A detailed, sequential list would be highly appreciated.

Thanks!

 

[nnnm4]

Linear Algebra for quantum.

 

[intwo]

Linear Algebra for quantum.

Thank you, but I was wondering if you could be a little more specific. I understand that large-scale concepts such as linear algebra and partial differential equations are necessary, but what specific concepts should I note to help me with Classical and Quantum Mechanics?

 

[0xDEADBEEF]

Lagrange multipliers, scalar products, dual space vectors, commutators, lie brackets, variational calculus, principal value decomposition, Hilbert spaces, operators and their eigenfunctions

That should cover your bases.