** Homework 0 (Due Never: Review problems M215):
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** Homework 1 (Due Monday Jan. 18th in class):
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** Homework 2 (Due: Monday Jan. 25th in class):
** Assignment
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** Homework 3: (Due: Monday Feb. 1st in class):
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** Homework 4: (Due: Wed. Feb. 10th):
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** Midterm 1: ** Questions and
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** Homework 5: (Due:February 26th): **
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** Homework 6: (Due:):
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** Homework 7: (Due:):
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** Homework 8: (Due:):
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** Midterm 2: ** Questions and
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** Homework 9: (Due:):
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** Homework 10: (Due:):
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** Lecture 1 :
** Review of ODE
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** Lecture 2 :
** Series Solutions to ODE
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** Lecture 3 :
** Regular Singular Points
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** Lecture 4 :
** Frobenius Series
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** Lecture 5 :
** Example: Bessel's equation and Bessel functions
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** Lecture 6 :
** Introduction to PDE I
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** Lecture 7 :
** Introduction to PDE II
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** Lecture 8 :
** Separation of Variables and Fourier Series
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** Lecture 9 :
** Fourier Sine Series
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** Lecture 10 :
** Fourier Cosine Series
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** Lecture 11 :
** Heat Equation on a Circular Ring
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** Lecture 12:
** Full Range Fourier Series
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** Lecture 13 :
** Half Range Fourier Series
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** Lecture 14 :
** Convergence of Fourier Series
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** Lecture 15 :
** Bessel's Inequality and Parseval's Theorem
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** Lecture 16 :
** Heat Conduction with Inhomogeneous BC I
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** Lecture 17 :
** Heat Conduction with Inhomogeneous BC II
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** Lecture 18 :
** Heat Conduction with Distributed Sources
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** Lecture 19 :
** Heat Equation with Time Dependent BCs
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** Lecture 20 :
** Wave Equation on the Line: D'Alembert's Solution
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** Lecture 21 :
** Wave Equation on the Line: Interpreting D'Alembert's Solution
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** Lecture 22 :
** Wave Equation on Finite Domains: Separation of Variables
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** Lecture 23 :
** Laplace's Equation
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** Lecture 24 :
** Laplace's Equation: Neumann, Mixed-BC, and Semi-Infinite Strip Problems
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** Lecture 25 :
** Laplace's Equation: Circular Domains
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** Lecture 26 :
** More Circular Domain Problems
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** Lecture 27 :
** Sturm-Liouville Eigenvalue Problems
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** Lecture 28 :
** Heat Equation: Robin BC
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** Lecture 29 :
** Heat and Laplace Problems Involving Euler's Equations
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** Lecture 30 :
** Finite Difference Methods for PDEs
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