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Forums - General Discussion - What math have you learned?

I'm currently reading "Philosophiæ Naturalis Principia Mathematica", a book made by isaac Newton.

In all honesty, math is simply amazing. I wouldn't be surprised if terrestrial life used math as well. It can be considered a universal language.



 

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12/22/2016- Made a bet with Ganoncrotch that the first 6 months of 2017 will be worse than 2016. A poll will be made to determine the winner. Loser has to take a picture of them imitating their profile picture.

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Past: High School math, Calc 1, 2, 3

Present: Linear Algebra & Differential Equations

Future: Differential Equations and Partial Differential Equations



I don't know how to put this into understandable terms. But for what it's worth, I'll be out of math classes to take before the end of high school. I'll be heading into high school in a few months, too, so I have a ways to go.



bet: lost

K-12(Arithmetic - AP Calculus AB), Calculus Sequence (Differentiation/Integration, Series and Approximations, Multivariable and Vector Calculus), Matrix Theory, Introductory Abstract Algebra and Linear Algebra, Introduction to Ordinary Differential Equations and Partial Differential Equations, Real Analysis, Numerical Analysis, Discrete Math/Number Theory, Graph Theory, and assorted extras in my Mathematical Physics courses (Tensors, especially.) I hope to take courses on Differential Geometry, elementary Topology, and Complex Variables in the future. But at this point, I am a more excited with applying the math I know rather than learning much of anything new. 

edit: Oh I want to learn some Chaos Theory too, I am intrigued by chaotic systems when I've played with them in Physics and Economics. 



hershel_layton said:
I'm currently reading "Philosophiæ Naturalis Principia Mathematica", a book made by isaac Newton.

In all honesty, math is simply amazing. I wouldn't be surprised if terrestrial life used math as well. It can be considered a universal language.

You mean ... humans?  Bears?  Sea sponges?



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pokoko said:
hershel_layton said:
I'm currently reading "Philosophiæ Naturalis Principia Mathematica", a book made by isaac Newton.

In all honesty, math is simply amazing. I wouldn't be surprised if terrestrial life used math as well. It can be considered a universal language.

You mean ... humans?  Bears?  Sea sponges?

http://phys.org/news/2012-07-dolphins-nonlinear-mathematics.html

:P 



In university I studied Algebra and Calculus 1 and 2. Thankfully the computer science department had just dropped the requirement for any higher math by the time I was taking Calc 2, so I could stop there. Oh, I guess I should count Computer Science data algorithms as well. That was a freakin pain in the ass too.



superchunk said:
In university I studied Algebra and Calculus 1 and 2. Thankfully the computer science department had just dropped the requirement for any higher math by the time I was taking Calc 2, so I could stop there. Oh, I guess I should count Computer Science data algorithms as well. That was a freakin pain in the ass too.

I am surprised they didn't make you take an introductory Linear Algebra (arrays/multidimensional lists are pretty much just matrices) and a Discrete Mathematics/Number Theory course. Both seem quite necessary for computer science. A proof-based class would also help (where you learn things like proof by induction, which would help a lot when learning recursion and functional programming, for example.) Although maybe you learned some of these things in your "data algorithms" course. 



sc94597 said:
superchunk said:
In university I studied Algebra and Calculus 1 and 2. Thankfully the computer science department had just dropped the requirement for any higher math by the time I was taking Calc 2, so I could stop there. Oh, I guess I should count Computer Science data algorithms as well. That was a freakin pain in the ass too.

I am surprised they didn't make you take an introductory Linear Algebra (arrays/multidimensional lists are pretty much just matrices) and a Discrete Mathematics/Number Theory course. Both seem quite necessary for computer science. A proof-based class would also help (where you learn things like proof by induction, which would help a lot when learning recursion and functional programming, for example.) Although maybe you learned some of these things in your "data algorithms" course. 

Discrete was the requirement they had dropped. I took multiple Algrebra classes, but I don't remember their distinct names. And the data algorithms was a proof based class. That was one of the 3 final classes I took right before graduation. So very difficult.



superchunk said:
sc94597 said:

I am surprised they didn't make you take an introductory Linear Algebra (arrays/multidimensional lists are pretty much just matrices) and a Discrete Mathematics/Number Theory course. Both seem quite necessary for computer science. A proof-based class would also help (where you learn things like proof by induction, which would help a lot when learning recursion and functional programming, for example.) Although maybe you learned some of these things in your "data algorithms" course. 

Discrete was the requirement they had dropped. I took multiple Algrebra classes, but I don't remember their distinct names. And the data algorithms was a proof based class. That was one of the 3 final classes I took right before graduation. So very difficult.

I see, that makes sense. It seems like just enough to get a decent theoretical foundation of whats going on mathematically in certain computations.  Today it seems to me as if Computer Science majors learn a lot more math than they might've in the past, mostly because there is this want by the professors to develop functional programming, which is very mathematical in nature. I've met some Computer Science majors who've taken as many if not more math courses than I have and I am a physics major (former math/physics double major) lol.