I am most likely going to be learning linear algebra and multivariate calculus concurrently as of next school year. Quick follow-up question: is the differential eqs. class hard? I have been told that differential equations comes after calculus III and linear algebra.
Thank you for your insight. I do have some experience with formal logic and mathematical proofs, so I feel inclined to give Spivak a read. Personally, I feel that I am proficient with the application and computation of the calculus so far (I'm almost done with the last chapter of the stewart...
Yes, I found pre-calculus material to be fairly easy. It just seems that the AP test from which the AP calculus course's curriculum is centered around focuses explicitly on computations. Even the epsilon-delta definition of a limit is seldom taught in AP courses. Students scoring the highest on...
I am currently self learning high school level AP Calculus BC over the summer. From a mathematical perspective, I have heard that high school level calculus is just pure and shallow computational work. For this reason, I seek a deeper understanding in calculus. So far, the BC curriculum has been...
Would a smaller scale light source really cost millions? I really think it would be possible to build a small light source. Michio Kaku built his own betatron as a high schooler.
Instead of a synchrotron could I have just an electron linac with an undulator at the end to produce to produce x rays? My goal would be to get the electrons to 20 MeV or more before the electrons get undulated. In the case of a linac, the only magnets i would need are quadrupoles to concentrate...
Lately, I've wanted to build a compact source of synchrotron radiation that is accessible to researchers with size and budget constraints. So far, I've managed to outline designs of the superconducting dipole magnets that will be used to keep electrons moving in a ring path within the booster...