In Masters she got to cover those off. I think her majoring in Symbolic Systems not CS meant she missed out on compilers, DBs, etc..
Is there some dependency order someone could quickly sketch out for some of these topics? Eg, linear algebra comes before X?
HN is an incredibly useful crowdsourcing resource for the self-motivated!
Do all of these in order first:
Calculus 1 and 2
Linear algebra and multivariable calculus and an introduction to proofs / logic course (you are ready for some electives at this point)
Ordinary differential equations
Any of these can be done concurrently, choose one Analysis and one algebra :
Advanced calculus (eg “understanding analysis” by Abbott)
Linear algebra in the sense of finite dimensional vector spaces
Easier abstract algebra (senior level classes are eg Artin and rudin, these ones are more elementary textbooks)
Core Senior level courses that you take if you want to get good at math:
Analysis sequence (1 year on baby Rudin)
Algebra sequence (1 year on artin)
Topology (munkres)
Electives:
Probability (can be done after multivariable calc)
Linear optimization (after linear algebra + multivariable calc)
Logic (compactness completeness godel etc whatever, can be done after intro to proofs course but will probably make less sense if you didn’t study some more stuff first)
Numerical analysis (after ODEs I guess or calculus + linear algebra if you want to skip tht stuff)
Statistics (after probability)
Combinatorics - after calc 2 and linear algebra
Geometry - after multivariable calc, linear algebra, proofs
Intro Differential geometry: after advanced calculus
Don’t really have much more knowledge for graduate courses etc. or even some common ones like complex analysis. if you know the senior level core stuff you’re probably “good enough” to make some progress on a lot of things. Each of these classes is 100-200 hours of total study so it seems odd to me that someone will just try to study it on their own by there you go I guess
This is true. I think that it's also a religious thing as well, and almost Christians. Other religions are more accepting of death, but Christianity has taught many to sincerely believe that Jesus himself would step into the room and heal their loved one, therefore every attempt must be made to save them.
This is something I've seen first hand in my years as a Paramedic. Patients with absolutely zero quality of life, yet remain a full code, in a nursing home. Family hasn't visited them in months (maybe coming 2-3 times a year tops) but there's evidence of a direct deposited social security or retirement check going somewhere. It's sad and I wish that we had a huge cultural shift regarding end of life care.
We are bad at thinking this way in groups, relatively. We're especially bad when these groups are political. If we're deciding on arming rebels, the political dynamics are the 2nd order effects that dominate thinking, not the war... especially if it's a small foreign war that's unlikely to reach home.
The rebel field commander has no problem recognising these strategic dynamics.
The poor rural kid from Idaho may not be admitted to MIT, Duke, Berkeley, ivies and may not look as good as that 1500+ kid, but you surely will miss kids like: https://www.uidaho.edu/engr/news/features/tom-mueller that would have been successful at an MIT or Caltech. While the 1500+ kid might have gotten that score due to SAT prep, they may not actually be that smart. The Idaho kid could be much more intelligent, but since they're coming in with fewer AP courses and fewer ECs, they wouldn't pass the sniff test.
Typical burdened labor rate is 1.3x to 1.5x of annual salary. Exceptions exist, but usually it’s clear why that’s the exception (e.g., exceptionally generous benefits for a competitve labor category, local laws, etc.).
Obviously there is a cost past salary but it’s not over 100%
I believe no one in my management chain could have done significantly better. They had their budget and even if they had moved things around in my favor it would have just been a different level of inadequate.
Structurally the entire industry is biased towards preventing you from achieving what I call equilibrium. Equilibrium is where you can't leave your current job for a >10% raise.
I believe it's just a cost saving measure (assuming the ability to pay exists which it may not) and the industry has decided that the average wage suppression is more valuable then the cost of the turn over it creates. I'm not going to pass judgement on whether they are right or wrong.
Ability to pay is a big factor. Most of my prior employers could only offer a fraction of what I currently make.