courtrigrad said:
I was wondering if there would really be any major difference in studying a subject by yourself, than learning it in a class. Basically, the class just regurgitates information that is in a textbook, right? So, would it be feasible to self study Calculus 3, provided that one has a syllabus at hand? What are your opinions in self-studying in terms of understanding and depth of knowledge?
Thanks
I self-studied Quantum Mechanics I over the summer in order to take Quantum Mechanics II this fall, and did so successfully. So yes, one can certainly do it. But there are some caveats.
First, you have to work at it more than you would if you were just taking the class. Second, I would strongly recommend using several texts for the subjects, and working EVERY single problem. Finally, you want not only the syllabus from the class, but all the solutions you for the problems you are working, and all the exams to test yourself.
I had 3 quantum mechanics textbooks, 2 books of solved problems, all the course exams (provided by the professor I'm taking the QM II from this quarter), and the syllabus, and it still took me 15 weeks to get through the 10 week course on my own, but I did manage to do it.
So yes, you can do it, and proceed on without taking the course (assuming your department will let you. In our department, prereqs are never enforced in anyway, and several students have done this before with QM I). You should not do it as a way to get through the work more quickly or with less effort, because it won't work. The reason I did it had to do with when QM II was offered by our department, only every other year, and I couldn't fit in QM I last spring. Finally, expect that it will take you at least as long as it would take you to take the course in the first place.