My current interest is flows: flowing on a beat, flowing along a manifold, flows on the electromagnetic spectrum, flow curves, flows of a vector field, the flow of time, time as currency, the flow of electrons: currency, like electric currents, electric daisies, current interest rates, current events, swimming against the current, fluid flow, flux and divergence... you know... flowers.
3 thoughts on “Physics GRE Prep”
tried to buy. says please setup page for checkout. jas!
Thank you so much for attempting to purchase this course! I only played these courses in my imagination, and haven’t created lectures yet, which is why you are unable to pay for them. This is more of a preview than an actual subscription, but I hope to teach this course in the future.
As you can see from the picture, a calculus-based definition of Work is required as a prerequisite. So if you want to simply study this picture, you’re one step closer to being prepared for the course.
The mathematical equation for work: Work = Force x Distance. Integrals can be used to measure distance, which is how this formula was derived. It is an infinitesimal type of distance, where the steps are summed up over lengths that get infinitely smaller, and is technically some sort of approximation. This approximation is called the Riemann Integral.
Thus, the prerequisites for this course could be: Introductory Newtonian Mechanics (for theory), Caluclus 1 (Differential Single-Variable Calculus) and Calculus 2 (Differential Multivariable Calculus).
The notion of distance, and even force, can be abstracted, and then we start to calculate work on Manifolds (Vector Calculus of 3-dimension is called Calculus 3). Manifolds however, require Linear Algebra and Differential Equations. Differential Equations as a topic is introduced in Calculus 2, usually in a Stewart Textbook. I like the 6th edition of Stewart, as that’s where I’ve stopped. I also use Larson’s Calculus of a Single Variable, which is beautiful in its own right.
If you can confidently say you’ve taken these courses (or self-taught these courses) and have a solid foundation in the material, I’d say you’re prepared for this Physics GRE Prep.
However, there is more to it than that, and even I haven’t learned all of the Physics language required to teach it to you, but I am learning as I study the mechanics of my car. I believe this is tangible way of demonstrating the material that physically makes sense.
Here are some other words you may want to study: force, torque, inertia, momentum. I’ll stop right there, as those are already enough to keep you entertained.
Thank you for visiting Metaphysics and I hope you have a great holiday.
I made a few typos, I apologize.
Calculus 2 is Integral Single-Variable Calculus. It could Differential Multivariable Calculus if you are in a semester-based system, but I am referencing a quarter-based system.
Integration is the key to this course.