Seth Major
Offering "...sparking Legendre magic in [your] soul" since at least 2001! (Thanks to Ryan Tamburrino)
Course information (pdf):
Course syllabus & info
Special functions presentation info
Questions, Problems and Reading (pdf):
Some recent topics:
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Complex Numbers
Methods of solving Ordinary Diff. Equ's (ODEs)
First order, linear second order equations,
Laplace transformations, Green functions, series method, ...
Sturm-Liouville Theory
The remarkable properties of solutions to self-adjount differential equations
Special Functions
Gamma, Legendre, Hermite, Bessels, Laguerre, Chebyshev even Hypergeometric functions will be our delight -
Fourier Series & Transforms
A theorem, computation of coefficients, Fourier transform, Dirac
delta-function
Partial Diff Equ's (PDEs)
Waves, diffusion, Schrodinger, Laplace, separation of
variables
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Techniques of Complex Analysis
Complex number review, analytic functions, integration,
integral theorems
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Tensors
(Notes) definition and applications
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Groups
Introduction, examples, rotations in 3-space, representations, applications
Handy links:
The NIST Digital library of Mathematical Functions.
Wolfram Alpha (launches a new tab):
Math Methods Poetry (pdf):
Spring 2017 Creations
Spring 2009 Creations
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