Problem solving skills is kind of a generic answer, but that's what I'm getting at. What courses have you taken that could have built these? Any chem-e courses? Math?
It's hard for me to imagine that someone who seems reasonably intelligent just by their writing, and someone who aced a calculus 3 course would be asking some of the questions you are. I think you are too wrapped up in societies impression of you compared to other students. It sounds like you...
I think you may want to choose the course best fitted for your major. Are you in engineering or physics?
We have these same courses I believe at my uni, and there is a different emphasis. The engineering course is more focused on vector mechanics(Newton), whereas the physics course works it...
After elementary algebra/trigonometry/geometry/pre-calculus I think a good progression is(in order):
Calc 1
Calc 2
Calc 3
Differential Equations
Linear Algebra
Partial differential equations(not required, but I recommend)
Set Theory
Abstract Algebra
Real Analysis
...
I think there...
If you will have taken 4 more proof based courses before doing this, then I think you should be fine. These courses are highly professor-dependent(as all courses are). Where I go to school, its generally spoken of that real analysis 1 is the hardest undergraduate math course, and that abstract...
Electrodynamics 1
Real Analysis 2
Numerical Analysis 1
Introduction to QM
Very excited! Intro to QM is a course my department offers that is in between the level of QM covered in a typical Modern Physics course and the full on senior QM course. Using it as a refresher before QM in the spring
Someone correct me if I am wrong, but I don't think physics grad programs care much about extra math. They just want to know how good at physics you are.
Take the physics courses. You want to be a physicist right? Sure math is great and useful, but not as useful as physics courses.
You know I am not entirely sure. I took the undergraduate course and it covered linear transformations, vector spaces, etc. I know that the book we are using is Linear Algebra by Hoffman. I looked at the book and it seems to be more or less the same as the one I used for undergrad linalg, except...
Summer
Statistics both sessions
Fall
E&M 1(excited!)
Numerical Analysis 1
Grad Linear Algebra
Real analysis 2(may drop, thought 1 wasn't that interesting)
Intro to scientific programming(learning how to use Python for solving physics problems)
Modern physics was very cool. I ended up with a C+ in the class unfortunately. Its the only C I have ever gotten in math or physics in college so it was hard to accept. I realize why I got the grade though. I didn't put the effort in and neglected the class compared to other harder classes, so...
Office,
Are you saying that you could consider the interval containing 1 infintesimally small so that mk and Mk are zero on it? So this would be summing zero for the interval? I am not sure
Dickfore,
Thanks for the quick reply! So essentially all comes down to the uncertainty principle? I understand classical scattering and understood the connection you made to an impact parameter.