Difference between revisions of "Talk:2117: Differentiation and Integration"

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Riemann integration was the first rigorous definition of integration. This has been superseded by Lesbesgue integration.
 
Riemann integration was the first rigorous definition of integration. This has been superseded by Lesbesgue integration.
 
Bessel functions are like 2d versions of sin and cos, and turn up sometimes when doing integration.[[Special:Contributions/162.158.89.61|162.158.89.61]] 20:14, 27 February 2019 (UTC)
 
Bessel functions are like 2d versions of sin and cos, and turn up sometimes when doing integration.[[Special:Contributions/162.158.89.61|162.158.89.61]] 20:14, 27 February 2019 (UTC)
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Shouldn't Wolfram Alpha be somewhere in that flowchart?  [[Special:Contributions/162.158.255.142|162.158.255.142]] 20:54, 27 February 2019 (UTC)

Revision as of 20:54, 27 February 2019

Darn, I have no idea what this comic is about. Randal has eluded my yet again. Linker (talk) 17:43, 27 February 2019 (UTC)

Calculus. 162.158.79.143 18:16, 27 February 2019 (UTC)

And Calc 2 is why I stopped being a Computer Science major and moved (eventually) to majoring in English. Consistent 4.0s in math through Trig and Calc I ... 1.6 in Calc II, retook and got a 1.8. Without the Calc, couldn't do the physics; without the physics, couldn't get my 2-yr degree and move on from community college to a full university. I don't know what all the integration stuff in the flowchart is (since I didn't do well in Calc and it was a long time ago), but there's so very many things that become nonelementary integrals that all sorts of special tricks have to be employed for things that look like they should be easy. It's like having a problem that's very easy to do division on, but requires special advanced mathematical tricks to use multiplication upon.108.162.216.208 19:07, 27 February 2019 (UTC)

Basic ideas: Integration by parts is the reverse of the Product Rule. Substitution is the reverse of the Chain Rule. Cauchy's Formula gives the result of a contour integration in the complex plane, using "singularities" of the integrand. Partial fractions is just splitting up one complex fraction into a sum of simple fractions, which is relevant because they are easier to integrate. Stokes theorem is the relationship between an integral over an area, and an integral over the boundary of said area. Riemann integration was the first rigorous definition of integration. This has been superseded by Lesbesgue integration. Bessel functions are like 2d versions of sin and cos, and turn up sometimes when doing integration.162.158.89.61 20:14, 27 February 2019 (UTC)

Shouldn't Wolfram Alpha be somewhere in that flowchart? 162.158.255.142 20:54, 27 February 2019 (UTC)