Comments on: A Calculus Analogy: Integrals as Multiplication http://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/ Learn Right, Not Rote. Wed, 16 May 2012 12:30:32 +0000 hourly 1 http://wordpress.org/?v= By: kalid http://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/#comment-71241 kalid Fri, 20 Apr 2012 01:22:42 +0000 http://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/#comment-71241 @thereader: Thanks for the comment. I put in the triangle (it could have been a curve) because I wanted to show the actual speed over time, vs. the "computed" formula we'd get with the rectangles. distance = 2*t * t is actually meant to be incorrect, to show we can't just plug in speed * time directly. @thereader: Thanks for the comment. I put in the triangle (it could have been a curve) because I wanted to show the actual speed over time, vs. the “computed” formula we’d get with the rectangles. distance = 2*t * t is actually meant to be incorrect, to show we can’t just plug in speed * time directly.

]]> By: thereader http://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/#comment-65824 thereader Fri, 30 Mar 2012 12:43:51 +0000 http://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/#comment-65824 Hi, Thank you for this post! Regarding the first example with the formula Distance = 2*t *t, in my opinion the accompanying drawing is not correct. There should have been a set of rectangles, not triangles, otherwise the formula should have been Distance = (2*t*t)/ 2. Regards and thanks again Hi,
Thank you for this post!

Regarding the first example with the formula Distance = 2*t *t, in my opinion the accompanying drawing is not correct. There should have been a set of rectangles, not triangles, otherwise the formula should have been Distance = (2*t*t)/ 2.

Regards and thanks again

]]> By: Calculus: Building Intuition for the Derivative | BetterExplained http://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/#comment-65617 Calculus: Building Intuition for the Derivative | BetterExplained Thu, 29 Mar 2012 18:37:03 +0000 http://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/#comment-65617 [...] see the integral as better multiplication, where you can apply a changing quantity to [...] [...] see the integral as better multiplication, where you can apply a changing quantity to [...]

]]> By: Vector Calculus: Understanding the Dot Product | BetterExplained http://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/#comment-57863 Vector Calculus: Understanding the Dot Product | BetterExplained Tue, 28 Feb 2012 19:04:12 +0000 http://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/#comment-57863 [...] growth and make it 4x larger (i.e., 12x)”. Complex multiplication lets us combine rotations. Integrals let us do piece-by-piece [...] [...] growth and make it 4x larger (i.e., 12x)”. Complex multiplication lets us combine rotations. Integrals let us do piece-by-piece [...]

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