I tried to optimize a box without taking the derivative
I failed that test for sure
I needed an A on this test to get an A in this class and I needed an A to get the minimum gpa requirement for transfer
I cant do anything right on a test for some reason, after reason rolle's theorem and mean value theorem for several hours I forgot it on the test, after doing optimization problems for days I forgot how to do them on the test, I couldnt figure out zeroes for anything
I really want to be good at math, it is a life long goal of mine. I was always told as a kid that I was bad at math because I was good at other things so I sort of gave up on math and was put in special math classes where I basically never learned any math in school at all
@MarianoSuárezAlvarez, what happen with the stared link, I was informed that: The post you were looking for might have been deleted or merged into another question but that don't satisfies my curiosity
I have to take a year of spanish, 2 years of electives, a year and half of physics, womens studies, a year of chemistry and some other crap just to be able to start to learn what I want to
because I have to prove to the college that I can handle college before I can go to college
not sure if you are from the US but they like to make it incredibly hard on transfer students because transfer students are a waste of a student because they make the university look worse by accepting them
@MarianoSuárezAlvarez oh, I thought you could cast the third vote to deletion (as you suggested in a comment) without having to invoke any superpowers.
@TylerBailey well, yes. Scratch paper is more the rule than the exception. Coffee stains aren't too rare either. On the other hand I'm glad that not too many type their results up (I always implore them not to do that).
At the moment I'm on leave, so I don't teach. We usually have homework for them to hand in during the first three years (roughly until they get their B.Sc.), afterwards they have to write some short texts, those aren't too coffee-endangered.
Well, I lived a few years in the mountains of Switzerland, I had my share of blizzards and avalanches... But somehow I find the winters here in the flatlands much tougher. This year was particularly awful. Some guys in Siberia sent cold air for about a month. It was about 10 centigrade colder than usual.
I don't teach, I'm a student. I don't know a whole lot about the other schools, to be honest. I think no matter where you go, the most important part is probably making connections and doing well, so you have people you can use as references when you try to find a job.
yeah that helps so much, my brother got in right out of high school with mediocre grades and I have zero chance of getting in with decent grades as transfer
Well, from Zurich there aren't that many people active here either. Christian Blatter is one of the very few. He's the prof who gave the first lecture I attended at university.
I'm only sure about two other people here. One was a student of mine when I was in Göttingen and the other here in Zürich. I have a few suspicions about others and of course I know a few people on MO.
I think that's really great. The idea that you can interact with your mathematical heroes or whatever, even when it physically isn't possible. Makes me feel good :p
Especially since most of them seem like nice people.
Ahh... one fourier analysis problem to go... hopefully this isn't the one that drives me crazy :)
My impression was that it is always possible to talk to people about math as long as you share some interests. There are of course idiots as everywhere, but most people are pretty approachable. And many of the heroes I met don't like to be treated as heroes :)
I'm trying to prove that an arbitrary intersection of compact sets is compact. I have shown that all sets are closed, however I'm attempting to show that the interesection is also bounded.
It seems somewhat trivial, but I want ot make sure that my proof is rigorous.
The second paragraph of the proof is pretty wrong but you can fix it easily.
@arete The maximum could be a supremum and indeed, it could be infinite.
But the thing is this: let $i_0$ be arbitrary. If $x \in \bigcap_i C_i$ then $x \in C_{i_0}$ in particular. Thus, $|x| \leq M_{i_0}$. But this holds for every $x$ in the intersection, hence the intersection is bounded.
So I am interested in learning dynamic and complex networks (economics, finance, industry and organization and more)
And also building large scale simulations and models. What areas of mathematics could I pursue to have some concrete foundation
I zeroed in on the following: Graph Theory, Probability, Control Theory, Game Theory, a whole lot of statistics and a good knowledge of algebra and calculus. Is this OK?
if $A$ is a Noetherian integral ring, closed in its field of fractions $K$. and $L$ is a separable extension of $K$ such that $B$ is the integral closure of $A$ and $L$, I want to show that $B$ is a finite module over $A$. i can show that there is a basis $\{v_1,\dots,v_n\}$ of $L$ over $K$ such that $B\subset \sum_1^n Av_i$. I feel like I should be done, but i don't see how I can exploit Noetherianess directly
I guess $B$ would be a subset of a Noetherian ring and would thus be Noetherian
can someone confirm that i'm not being stupid, that my argument is ok?
@anon @Tyler To be honest, I don't know calculus but have decent knowledge in Algebra. I have given a period of 2 years to get better at it. Am I on the right track?
And can you just brief (or give an example) of how differential equations can be or used in dynamical systems
your description of what you propose to learn is sufficiently inespecific that it is hard to say something more precise than «you will need to know lots of math»
@Mariano, i guess i should say that $B$ is finitely generated. i think there is a theorem that submodules of a Noetherian module are finitely generated
@MarianoSuárezAlvarez I am interested simulations in the area of quant financing and state policies (economics). How economic policies affects people, how systems interact with each other? How to find the important links in a system? Network analysis in highly inter-connected and complex systems? I want to grasp the basic ideas within the next 2 years(just a intuitive time scale) so that I could start doing something concrete
I am decent with economics and commerce (together with some decent knowledge of programming), know something about psychology and have always approached maths (till now) to solve exam problems
I mostly work with enterprise data (albeit at a smaller level) on costs,price, product specific and market information (data analysis) and I want to move to the next level
@MarianoSuárezAlvarez Can't understand "by economics I mean ctual mathematical economy"
mathematical economy is the mathematical study of economic models
I think you are seriously understimating the complexity of an enterprise such as the study of «how economic policies affects people, how systems interact with each other?»
@MarianoSuárezAlvarez I don't think so. Most complexity problems are NP-complete and I am amazed by its sheer complexity and size that I got interested in it and want to explore more(I am 28+, I have just started getting serious around 6 months back)
the problem, otherwise, is setting up goals for yourself that are, in all likelyhood, beyond the capabilities of Man As We Know It, and will be for the next few hundred years
My major areas of interest are Artificial Intelligence(AI) and Complex dynamical Systems. It took me some time to realize that I needed a heavy dose of mathematics to start designing things (but am still not sure of what's needed except for the list I dished out at the beginning)
I think what you say sounds right out of a commercial
buzzwords
it reminds me of what was called a few decades ago General Systems Theory
As Wikipedia puts it, «Systems theory is the interdisciplinary study of systems in general, with the goal of elucidating principles that can be applied to all types of systems at all nesting levels in all fields of research»
@EricGregor I don't think so(albeit in a much broader way). Macro-economics can be modeled . The biggest problem is it contains a lot of NP complete problems (combinatorial explosion) but I believe large scale collective intelligence together with behavioral economics (and a lot of AI) could lead to a lot of new dimensions
this is not as bizarre as it sound....one might be interested in the density of a demographic group in a market, or what the connected components of a distributions system are
@EricGregor Exactly. But most of the economics have been theoretical. A huge shift to behavioral economics can make policies a lot better (though aggreation is always a problem)
@Eric Gregor well, first you fix an oppresed person in X. then you take the homotopy classes of all oppression loops that start at our oppressed person. viola!
the thing is, not all people are connected so groupoids make more sense
@EricGregor "Maps of bounded rationality: Psychology for behavioral economics" does have a decent introduction. You can always contest me on certain points in the article though. But behavioral economics is better than theoretical economics on a case by case basis
@EricGregor To add to your skepticism, the poverty line in my country is fixed at $12.8 dollars per person per month. An example of how things could go wrong
@EricGregor But poverty must be eradicated. Moving to some old theories, unless the basic needs are fulfilled (Maslow) man is always vulnerable to everything
There is a catch in behavioral economics, in fact a big catch, that modeling policies based on existing norms may turn a populist policy. Throw into it cultural differences and its already a mess
@EricGregor Most people are products of their environment and changing the environment could be a better option rather than trying to change people at the individual level (most people have tried it and have either made things worse or failed but I still believe it)
Back on topic. So any links for calculus for a beginner
@TylerBailey @EricGregor @MarianoSuárezAlvarez and all others. Thank you and leaving now. Hope you weren't thoroughly embarrassed by me :) Would come back again
