math375_PDE - Honours Partial Differential Equations...

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Honours Partial Differential Equations MATH-375 Lecture notes by Alexandre Tomberg Prof. Charles Roth Roth McGill University Fall 2008 Lecture Notes Page 1
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Table of Contents December-03-08 12:16 PM Lecture Notes Page 2
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Lecture Notes Page 3
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Vector Spaces September-09-08 6:39 PM Lecture Notes Page 4
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Fundamental theorem of ODEs September-09-08 6:51 PM Lecture Notes Page 5
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Inner Product Spaces September-09-08 6:57 PM Lecture Notes Page 6
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Fourier Expansions September-09-08 7:04 PM Lecture Notes Page 7
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Best Approximation in the Mean September-09-08 7:24 PM Lecture Notes Page 8
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Best Approximation in the Mean September-09-08 7:14 PM Lecture Notes Page 9
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Bessel's inequality September-09-08 7:43 PM Lecture Notes Page 10
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Hermitian operators Lecture Notes Page 11
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Hermitian operators September-09-08 8:21 PM Lecture Notes Page 12
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Eigens of Hermitian operators September-09-08 8:23 PM Lecture Notes Page 13
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Eigens of Hermitian operators September-09-08 8:33 PM Lecture Notes Page 14
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Eigens of Hermitian operators September-09-08 8:38 PM Lecture Notes Page 15
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Lecture Notes Page 16
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Eigens of second order differential operator September-11-08 2:46 PM Lecture Notes Page 17
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Lecture Notes Page 18
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Expansion in terms of Fourier sines September-11-08 3:08 PM Lecture Notes Page 19
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Lecture Notes Page 20
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Parseval's Theorem September-11-08 3:35 PM Lecture Notes Page 21
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Lecture Notes Page 22
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Lecture Notes Page 23
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Lecture Notes Page 24
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Complete Fourier Series September-16-08 3:24 PM Lecture Notes Page 25
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math375_PDE - Honours Partial Differential Equations...

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