MIT's single variable course without theory (18.01) is the equivalent of calc 1 and 2 and the MiT's multivariable calculus without theory course (18.02) is the equivalent of calc 3.
I would suggest you take the ordinary multivariable course (https://ocw.mit.edu/courses/18-02sc-multivariable-calculus-fall-2010/) after the single variable course you linked or at least complete the ordinary single variable calculus course you listed then this single variable calculus with...
It's extremely unlikely that a randomly selected high school biology class will contain a similar amount of gore/blood to PLTW's Human Body Systems course
At least two people in this thread believe OP is capable/deserving of making these decisions despite them using a no-no [sic] word (which is...
I meant physics 271 and 275. You can take the full credit proficiency exams for math 131 and math 132: https://www.math.rutgers.edu/academics/undergraduate/proficiency-exam
Suppose I accelerate a mass from rest to 1 m/s using n J of energy. From the sun's perspective, I've just accelerated it from (say) 29,785 m/s to 29,786 m/s, which would require 59571n J of energy. Where is the extra 59570n J coming from?
If the answer is "nowhere, changes in KE are relative to...
Maxwell's theory of heat is in the public domain: https://www3.nd.edu/~powers/ame.20231/maxwell1872.pdf
https://www.amazon.com/Understanding-Thermodynamics-Dover-Books-Physics/dp/0486632776#aw-udpv3-customer-reviews_feature_div?tag=pfamazon01-20...
Another thought: these universities likely have specific discord servers for physics majors, or a university-wide discord server with a channel for physics majors. They're likely to be much more active than reddit, so hopefully you can get better answers to the question of research opportunities...
Stony Brook because of the miserable campus, UofA because it's optics-focused and you aren't.
Wherever you go, make sure to take the most advanced courses you can (honors/sophomore classes); this will play a big role in developing a network of similarly motivated students.
This is a bit late, but do you think this would have helped if you had seen it when you were having trouble understanding the cross product? https://betterexplained.com/articles/cross-product/