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This is my first post although I have referenced this site numerous times. It's a great resource, so many thanks to the admin and participants.

A little background:

I am in my junior year of a physics/mathematics double major at an unremarkable state university. The math/physics department at my school is combined and very small (we only have 8 or 9 tenured faculty) and the focus is strongly on mathematics. There are some very good math professors but physics is lacking I'm afraid. This is too bad because, although I'm a double major, my real interest is in physics. I took the double major because it only requires 3 or 4 more mathematics courses than what is already required for the physics major. So the situation is not ideal but, c'est la vie, I'm a non-traditional student and this university was my only option for my bachelors degree.

Now, I've held straight A's up until this point, but I've sort of hit a bump in the road. I didn't do as well as I would have liked in Theoretical (Classical) Mechanics last semester; grades are not finalized yet but I will most likely be getting a B in the class. There are many factors that contributed to this hiccup and I won't go into all of them. I will say that time and effort are not the problem. In the heat of the semester, I typically spend 70-80 hrs. a week on schoolwork (including attending class). If this isn't sufficient when taking 15 credit hours, theres nothing to be done I guess. I can't devote more time than that.

I think some of the problem is a lack of coordination between the math and physics faculty. I don't feel the prerequisite math courses prepare me well enough for the physics courses that use them. For instance, I've taken O.D.E., multivariable and vector calculus, and linear algebra and I did well in each class but I really struggled applying these concepts in Mechanics. The math courses definitely don't stress application but it could also be that I'm having a hard time bridging the gap. Either way, I want to do better next semester. The grades matter to me but it matters more that I really understand the material as I plan to go on to grad school.

So finally to the question. I'm taking Quantum Mechanics next semester (in about a month) and I want to be sure that I'm prepared. I had a brief intro to QM in the third semester of general physics but this is a full course and the instructor is demanding from what I hear. I'd appreciate any advice you can give on specific mathematics and general physics topics to brush up on. I have copy of "Mathematical Methods in the Physical Sciences" by Mary Boas that I plan on studying in the month before school starts up again. I've encountered most of the topics in it but I'm hoping it will help me better apply the math to physics. Are there any other good references you guys can recommend? I'm also open to suggestions on improving my study habits in order to learn material faster and better than I have been, thus far.

I may have left out pertinent info but I feel the post is long winded enough. Thanks in advance for all replies.