# Class Notes at Minneapolis College of Art and Design

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MA 3065pSpring

## MA 3065 Lecture 4: hw4

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Math 5588 homework 4 (due thursday february 9: consider the following version of the isoperimetric problem: max u( 1)=0=u(1)z 1 u:[ 1,1] r. 1p1 + u (x)

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## MA 3065 Lecture 11: hw11

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Math 5588 homework 11 (due thursday april 20: a weak solution of burger"s equation has the form ut + uux = 0 for x r, t > 0 u(x, t) =( x t+1 , 0, for x

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## MA 3065 Lecture Notes - Lecture 9: Leibniz Integral Rule, Unit Disk, Unit Square

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Math 5588 homework 9 (due thursday april 6: prove the leibniz integral rule d dx z b(x) a(x) f (x, t) dt! = f (x, b(x))b (x) f (x, a(x))a (x) +z b(x) a

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## MA 3065 Lecture Notes - Lecture 8: Maximum Principle, Maxima And Minima, Viscosity Solution

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What happens if max f < 0: use the maximum principle to show that if. U(x) = f (x) for |x| < 1 and u(x) = 0 for |x| = 1 then u(x) max f. 2n (1 |x|2) fo

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## MA 3065 Lecture Notes - Lecture 4: Viscosity Solution, Uniform Convergence, Lipschitz Domain

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Note: please choose a paper for your term end project/presentation by friday oct 5. Math 8590 homework 2 (due friday oct 5) Please hand in your solutio

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## MA 3065 Lecture Notes - Lecture 2: Lipschitz Continuity, Eikonal Equation, Viscosity Solution

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## MA 3065 Lecture 1: hw1

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Math 5588 homework 1 (due thursday january 19: read the entire course syllabus: http://math. umn. edu/~jwcalder/5588s17. Include some latex code in you

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## MA 3065 Lecture Notes - Lecture 7: Rayleigh Quotient, Symmetric Matrix, Ellipse

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Math 5588 homework 7 (due thursday march 9) Recall a matrix a = (aij) rn n is symmetric if aij = aji, so that at = a. We say a symmetric matrix a is po

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## MA 3065 Lecture 3: hw3 (1)

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Math 8590 homework 3 (due friday oct 19) Please hand in your solution to 1 problem from those below: complete the proof of theorem 5. 2 in the notes. A

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## MA 3065 Lecture 5: hw5

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Fourier transform: find the fourier transform of the box function u(x) =(1, What is: nyquist-shannon sampling theorem: let f be an integrable function

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## MA 3065 Lecture 6: hw6

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Math 5588 homework 6 (due thursday march 2) This homework aims to examine the fourier transform of generalized functions, or distri- butions, more rigo

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