Science Forums 2

[Lightfuzz]

I hope I'm doing this right. This is my first topic.

Well, as I said in my introduction topic. I'm a really 'wonky' person. I like to learn things miles away from my level. For example, (I'm in Year 7, by the way) I learned calculus before I had any knowledge of trig. And my geometry skill is still... well, let's just say not great. I learned relativity and quantum mechanics before classical physics. So now I hope to get some advice on the order to learn maths and physics and great websites or books on them. (That's the main idea of the topic.)

Maths:
Algebra: I'm familliar with one-degree equations and I think I'm alright with inequalities and quadratics)
Geometry: I have a problem with inductive thinking and I have to memorize some of the formulas.
Trigonometry: I know the six trigonometric functions but I only know a few identities.
Precalculus: I'm familiar with functions, exponents, logarithms. I just have to learn the Binomial Theorem. So I'm pretty good with this one.
Statistic: Ok. Now this one I've almost got no knowledge on.
Calculus: I'm alright with limits and differentiation. But I'm not too good with partial fraction and trig integrals. I don't really remember infinite series.

Well this is my idea of the curriculum for high school mathematics. And I'm not too sure about university but I'm not too urgent with that. I do know there's linear algebra, abstract algebra. But if anyone has one then please post it. I'll do the same with physics.

Forces: I'm still practicing. I know Newton's laws of motion, the law of universal gravitation, friction and mostly circular motion. Do not really understand inclined planes.
Energy: Still practicing. I know my kinetics and potential energy and momentum. Do not understand torque.
Thermodynamics: I just have to practice. But I've heard about statistical mechanics and I don't know a thing about it.
Electrodynamics: Still reading. Do not understand voltages and resistors. Know not a single thing about Maxwell's equations except that they are best shown in vector calculus.
Relativity: Slowly progressing. Know the basic idea and learning the equations.
Quantum Mechanics: Know the basic idea but not the maths.
Quantum Field Theory: I've read about the basic ideas.

I've probably missed some topics but this is long enough. So please help and give recommendation of where to learn it. Thanks.