Can anyone help me better comprehend Partial Differential Equations?

Removed by me…

You could check out MIT’s open courseware on the subject.

As I remember (none-too-fondly) it was a daily grind. You have to keep up with every class; if the prof is aloof, ask him/her for a tutor.

PDE was the last math class I ever took.

…...... PDE-wiki

…...... many examples… ideal for self-study
Partial Differential Equations for Scientists and Engineers (Dover Books on Advanced Mathematics) (Paperback)
by Stanley J. Farlow
PDE-book-ideal for home study

I think the people who had the most trouble with PDEs were making the whole thing harder than it had to be. It’s just a matter of using what you know about an inverse operation to “guess” the form your solution will have in general and using what you know about some specific points to nail down your constant and the leading coefficients.

Get an REI manual or a Schaum’s series to work lots of problems if your current text doesn’t have enough of them for you. Go see your prof or TA often with questions. Math is something you do, not something you read about. Do lots of problems. Cheers!