The little things you hate about Maths...

These are all physics subjects, they describe the real world using maths. It just seems applied mathematicians like to steal a few classical ideas and plough through the 2nd order ode's and pde's for some reason, maybe relativity or quantum idea's was too obscure for them?

I understand this only too well that a lot of pure maths is used in physics at some point but my point was that what was the point of solving the pure maths problem when there wasn't a physics motivation behind it in the first place.

Again, this is your opinion. One of my lecturers thinks exactly the same as you and thinks it's a great idea to draw circuits on the board or talk about shock absorbers or various other physicsy things, you know, just to broaden our horizons, or whatever; I don't understand a word he says and I'm not interested in any of it (and the two are definitely linked), and every time he starts talking about it I wish he'd shut up.

Yeah, it would be nice if he would just massage more equations for us.

Mechanics and physics are different things? I hope that was a joke, I don't think you could get any further from the truth.
The whole point of quantum mechanics is to predict mechanics, i.e. the motion of particles, at the microscopic level.

Also, mechanics and quantum mechanics are definitely two different things.
"Quantum Mechanics: the dreams stuff is made of"

div curl F = 0....What is a div curl and what is F?

My username is just a vector identity. F is a vector field, and the divergence of the curl of any vector field F is always zero.
The divergence of a vector is a differential operator, that depends on the choice of coordinate system, that when applied to a vector, returns a scalar. This tells you about how the field "spreads out".
The curl of a vector is a very similar differential operator that returns a another vector field, and this tells you about the rotational properties of the field.

The upside down triangle in my avatar is the differential operator in question, most commonly called "del", or "grad", or "nabla".

When doing things like Electromagnetism or Electrodynamics, or newtonian gravitation, your always happy when you can use a vector identity like this because problems simplify upon its use in general.
If you apply this identity to faraday's law for instance, it immediately tells you that there can exist no magnetic monopoles, because the divergence of the magnetic field is always zero, for dynamic and static cases.

If your interested in these types of "equations", wikipedia is your best bet

That video was ****e, I thought he was going to burst into song or do something lavish and exciting.

Ow yeh, and this, THIS IS A FLOWER.

Lol you joker...You should watch numb3rs...Great show . For mathematicians and otherwise. Check it out

I agree with hamtomilton. I was hoping the woman was gonna slap the man.

why cant dy/dx just act like a fraction