If I remember correctly you're in Chemistry?
Things are probably slightly less competitive in other fields.
Admittedly, I may be a little pessimistic on the matter as I knew quite a few people who got rejected with a >3.95, few pubs and great GRE scores (though they were from international/Asian...
Take a look at PhysicsGRE and it'll give you a brief idea of how things really are.
Unless you went to a top 10 school as an undergrad, or else something lower than 3.9 would probably keep you away from the top 10 schools.
The admission difficulty simply increases exponentially as you go up...
I think you should start off with MAT157/240/247 sequence first and see whether you can get used to it. Many people simply drop out within a week or so.
In my year, 150 people enrolled for MAT157 and by the end of second year there was 25-30 people left. (so there's even less people in Maths and...
It also confuses me since this result certainly seems non-trivial. (somewhat counter-intuitive by considering extreme cases)
I found the question from some local university physics exam.
"www.cap.ca/" + "sites/cap.ca/files/UPrize/cap_2008.pdf"
Thanks:smile:
I'm aware how to find the period for a S.H.M., but how would I find the period for a non-linear differential equation after the full Taylor Expansion?
So obviously \left. \frac{d V}{ d x} \right|_{x = x_1} is zero at x= x1
but I don't really see any significance of \left. \frac{d^2 V}{ d x^2}...
So F(x) \equiv 4ax^3 + 3bx^2 + 2cx + d
and so around for small x around the equilibrium,
By Taylor Expansion,
F(x) \equiv F'(eq)x + H.O.T.
How should I continue from here?
It doesn't seem to be quite true that the two roots of the F(x) is symmetric with respect to the local/global minimum of...
Hi, thanks for the quick respond!
No, unfortunately I haven't learned Lagrangian mechanics.
I've tried using linear approximation by Taylor's Theorem to find a expression for SHM, but that doesn't seem to help since there's no simple expression to the root for a general case.
More importantly...
Homework Statement
Consider a quartic potential,
i.e. V(x) \equiv ax^4 + bx^3 + cx^2 + dx + e
s.t. there are two local minimums for the potential.
For a given particle with energy E, prove that the period of oscillation around the two minimums are the same.
Homework Equations
dt \equiv...
I took Cal1&2 instead of Hon Cal. in first year, but it still involved a good deal of Epsilon-Delta, proving properties of abstract functions and evaluating the convergence of integrals.
(my favorite one was to determine for what r this integral converges..)
\int_{0}^{\infty} \frac{x^r}{e^x} dx...
I certainly wouldn't mind doing more proofs, but does the material or extra rigor in Complex Analysis add any extra utility for a Physics major in the long-run?
For instance I took Honors multivariable Cal (Calculus on Manifolds) last year thinking that there would be limited applications...
Hi everyone,
I'm a Physics student going into my Junior year and I'm currently registering for my courses for the following semester and I have two options for my "complex" course, namely:
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Complex Variables
Theory of functions of one complex...