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Re:Carnegie Mellon Launches Undergraduate Degree in Artifici... by Retric on Thursday May 10, 2018 @04:42PM (#17042777)
Going from 1 variable to 2 or 20 never seemed like a big jump to me. I can see taking 1-2 weeks to go over it quickly, but you don't need a lot of problem set's to get it.

It's like learning a new computer language, it takes about as long to do that on it's own as to have a class in something else that happens to use your that new language.

Re:Carnegie Mellon Launches Undergraduate Degree in Artifici... by beojan on Thursday May 10, 2018 @04:48PM (#17042823)
Line / surface / volume integrals are certainly a jump from one-variable integrals.
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici... by fooker on Thursday May 10, 2018 @04:57PM (#17042906)
Not a big jump, if you conceptually stick to the 'area under curve' definition.

Analytically computing surface/volume integrals, yes, that is a big jump. But I don't understand why students need to memorize N algorithms and M substitution rules for that.

Re:Carnegie Mellon Launches Undergraduate Degree in Artifici... by woopwoop on Thursday May 10, 2018 @05:53PM (#17043280)
What is the straightforward "area under the curve" definition of a line integral?
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici... by fooker on Thursday May 10, 2018 @05:55PM (#17043292)
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici... by woopwoop on Thursday May 10, 2018 @06:11PM (#17043385)
Okay. I am used to this being called a path integral, and the phrase line integral being reserved for the integral of a vector field over a curve. This does not, as far as I know, admit a straightforward definition as an area under a curve.
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici... by fooker on Thursday May 10, 2018 @06:17PM (#17043426)
If you replace area under curve with volume under surface, it seems to me that the same intuition holds.
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici... by gowld on Thursday May 10, 2018 @08:13PM (#17043979)
Sure, and AI isn't a big jump from statistics.
Re:Carnegie Mellon Launches Undergraduate Degree in Artifici... by fooker on Friday May 11, 2018 @08:03AM (#17046603)
I would say AI:Statistics :: Engineering:Physics .

Sometimes it is a big jump, sometimes it is all common sense.

Re:Carnegie Mellon Launches Undergraduate Degree in Artifici... by fooker on Thursday May 10, 2018 @04:55PM (#17042887)
I don't get this focus on 'maths via arcane problem solving' either.