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Messages - Daniel Clark

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MAT244--Lectures & Home Assignments / The Flowchart^(tm) V2.
« on: December 05, 2018, 04:07:10 PM »
Sorry for taking so long, but here it is.  Dashed lines represent reducing to a previous problem, e.t.c.  Read the last post for more info.  I didn't put in approximating non-linear equations simply because I personally don't think they fit in the spirit, but the linear equivalent is still there.   Constructive criticism still welcome. 

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RE: Kathryn Bucci
Incorrect, counterexample x +(x^2-y^2)y' = 0
using the substitution gives us x +(x^2-v^2x^2)v' =0 which is arguably worse. 
That would work if the derivative is a function of the ratio, which i covered in my unholy diagram on the left. 

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MAT244--Lectures & Home Assignments / Behold, MAT244 in flowchart form!
« on: October 12, 2018, 03:43:18 PM »
So I had this idea of putting all of the lecture material of MAT244 in a giant flowchart. So I did.

A few notes:
Dotted lines means the question is reduced to the smaller one

For the partial derivatives I used notation not used in class, the curly "d" with a subscript just means a derivative with respect to the variable in the subscript

I tried to keep it on one page and have all the notation as general as possible, which might have made it nigh impossible to read.  Sorry about that.

I don't have EVERYTHING, and I'm planning to update it as the class goes on.  Constrictive criticism welcome.

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