Physics and Mathematics Self-Study Project

Hats off, I think it takes some real dedication to stick with it.<p>&gt; One of the things I found useful here was to get immediate practice once I knew just enough. I think this is one of the reasons project-based learning can be so powerful: you have a problem and research your way into it versus researching your way into it and then seeing what to apply.<p>This. Perhaps it varies from person to person, but this is also how I learn best. I want to start with a problem, struggle to solve it, and then learn how to actually solve it. That way the material immediately clicks and sticks with me longer. Why don&#x27;t schools teach this way?

I&#x27;m thinking about a historical approach. For example what exactly is Ptolomy system? What&#x27;s the math involved? Why did the phases of Venus rebutes the model? How did Tycho make his observations? Can we repeat it for say a few months? How did Newton come up his ideas? What are Einstein&#x27;s thought experiments.<p>Basically I want to put myself in the shoes of great minds, learn what math tools were available at the time, do their observations, know how their thought processes work.<p><i>edit</i> Would appreciate if someone could recommend a textbook that follows such approach.

If people want to replicate the same feats as this kid you should check out <a href="http:&#x2F;&#x2F;mathacademy.com" rel="nofollow">http:&#x2F;&#x2F;mathacademy.com</a><p>People are constantly talking about chatGPT and reinforcement learning but mathacademy is using AI to teach <i>humans</i>. And from my experience very effectively.

I&#x27;ve been studying MIT&#x27;s OCW for Probability with a partner. It&#x27;s a great course.<p><a href="https:&#x2F;&#x2F;ocw.mit.edu&#x2F;courses&#x2F;6-041sc-probabilistic-systems-analysis-and-applied-probability-fall-2013&#x2F;" rel="nofollow">https:&#x2F;&#x2F;ocw.mit.edu&#x2F;courses&#x2F;6-041sc-probabilistic-systems-an...</a><p>We&#x27;re 4 months in and on Lecture 15. These do take a while. I feel like I&#x27;m not getting everything and will need another round. I&#x27;ve been binge watching Stat 110 too:<p><a href="https:&#x2F;&#x2F;projects.iq.harvard.edu&#x2F;stat110" rel="nofollow">https:&#x2F;&#x2F;projects.iq.harvard.edu&#x2F;stat110</a><p>&quot;All probabilities are conditional&quot;

Maybe this isn&#x27;t the exact right place to bring it up, but is related. But there is a lot of self-paced learning things coming up between schools and alternative to schools. But an issue I have is that this self paced learning is really limited in scope. Why can I take classes so easily for an MS in computer science or IT, or get an MBA or take data analysis courses, but I can&#x27;t easily get a degree &#x2F; certificate for say a bachelors in Mathematics? Or literature? There seems to be a big split where so much is focused on <i>job</i> training but very little is being done on <i>education</i>.

I would love to learn a much deeper level of mathematics but where do people find the time for that? If it&#x27;s not related to work, or future work I couldn&#x27;t find the large amount of time required. And self study doesn&#x27;t get recognized on resumes very well. Perhaps spread out over the course of many many years on your own personal time.

People love self-study materials, but do you really have the time to absorb it? Yeah you could do this stuff every day after work, but then you may not go to the gym, go on that date, etc... Not enough time in the world to go through even a single learning resource people promote.

A lot of my favorite physics classes were Applied Physics. These were great as you used the building blocks from 1st&#x2F;2nd year level to show complex phenomena in the universe. It is a shame this list has none of these.<p>Things like:<p>* Stellar Nucleosynthesis - S-process, R-process, stellar evolution<p>* Fluid mechanics - Navier Stokes equations<p>* Physical Oceanogrpahy - Ocean currents, tides, Pressure and Salinity effects<p>* Plasma Physics - MHD equations, Alfven waves<p>* Medical Physics - CAT, PET, MRI scanners. Radiation treatments.<p>* Planetary Science - Plate tectonics, Gas giant phenomena.<p>* Geophysics - EM, seismic, anisotropy<p>* Electron Microscopy - SEM, TEM, AFM etc.

Can you 2 sigma yourself? (<a href="https:&#x2F;&#x2F;wikipedia.org&#x2F;wiki&#x2F;Bloom%27s_2_sigma_problem" rel="nofollow">https:&#x2F;&#x2F;wikipedia.org&#x2F;wiki&#x2F;Bloom%27s_2_sigma_problem</a>)<p>Can you identify gaps - and worse, misconceptions - that you don&#x27;t know you have?<p>I think you can &quot;debug&quot; yourself, to some extent, starting with what you do know: you have trouble with that something . Start with the symptom, and diagnose. Narrow down where the problem occurs, by attempting sub-parts of the problem, simpler versions, and prerequisites.<p>If you can&#x27;t identify it, it&#x27;s a sign that the problem is not where you think itis. i.e. you have a misconception about something you think you know.<p>Then, there are many resources available to try to remedy it: textbooks, courses, subreddits, stackexchanges.<p>Of course... so much easier to have a perceptive coach who can instantly see where and why you stumble.

This is inspiring. I&#x27;m a student in the Arizona State University online Physics BA degree (soon to transition to BSc). And by student I mean adult learner with a full plate of other commitments doing this for fun and I dont know when I&#x27;ll finish.

Context would be nice here.<p>Who is this? Is this am unemployed autistic kid with nothing else to do? A brilliantly gifted high school student? A software engineer? A college student at a school without relevant courses? An independently wealthy semi-retired rich kid?<p>Why? To be macho? As an alternative to college? To level up his skills?<p>Quick web search answers a few of those, but not all of those.<p>If OP is the creator, look at the web site from the perspective of a visitor, and give some answers.<p>As a footnote, there really ought to be a way to give college credit for this sort of thing.

I looked through his topology problems and notes, and he could really use the guidance of a professor, or at least <i>someone</i> to give him feedback. It&#x27;s not practical to teach yourself mathematics to start before you can really check your own work. There are quite a few mistakes and misquoted&#x2F;misunderstood definitions that have no way of ever getting corrected.

I wonder if you could build a service that ingests self taught students’ notes, uses ML to investigate their displayed level of mastery, and upon decision associates with a university that will give them credit for a course, or even a full on degree.

I am still struggling to find the motivation to learn a new language(Japanese)

Pre-calc to quantum field theory in 2 years? nuts

Holy shit that&#x27;s ballsy. In 2 years? There are quite a few of tough courses there. Respect.

I would add axiomatic set theory and discrete mathematics to his list.