Heat Equation, Sturm-Liouville, and
Eigenfunction Expansions
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Bessel Functions: Heat and Wave Equation
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Laplace Transform Techniques
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here
Laplace and Poisson's Equation: Qualitative
Properties Click here
Laplacian in a Sphere: Legendre Polynomials
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Appendix: Generating function for Legendre Click here
Appendix: Spherical Harmonics Click here
Wave Equation on Infinite Domains:
D'Alembert's representation
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Fourier Integral Transforms:
Fourier Transforms Click here
Method of Characteristics:
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General Solution Click here
Notes on Quasiliner PDE, Shocks, Fans, and
Traffic Flow Click here
New notes on shock formation,expansion fans. Worked
problems Click here
Notes on the Eikonal Equation
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Envelope Click here
Homework 0 (Due Never: But Please Review Material): Assignment
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Homework 1 (Due ): Assignment
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Homework 2 (Due):
Assignment Click here: Solutions
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Homework 3 (Due): Assignment
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Homework 4 (Due ): Assignment
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Homework 5 (Due: ): Assignment
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Sample Problems/Material for Midterm 2024:
Questions and Solutions
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Midterm 2024:
Questions and Solutions
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Homework 6 (Due ): Assignment
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Homework 7 (Due ): Assignment
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Homework 8 (Due ): Assignment
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Bonus question (max 2.5 points)
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Bonus Solutions
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Homework 9 (Due ): Assignment
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Sample Old Midterm :
Questions and Solutions Click here:
Midterm 2017 (Oct. 27)
Questions and Solutions Click here:
Sample Finals with Solutions:
Questions and Solutions 2013
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Questions and Solutions 2015
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