Math 257/316 site

Here is a set of lecture notes for this course, courtesy of Dr. Anthony Peirce:

Lecture 1: Review of ODE
Lecture 2: Series Solutions to ODE
Lecture 3: Regular Singular Points
Lecture 4: Frobenius Series
Lecture 5: Example: Bessel's Equation & Bessel Functions
Lecture 6: Introduction to PDE (Part I)
Lecture 7: Introduction to PDE (Part II)
Lecture 8: Finite Difference Methods for PDE
Lecture 9: Separation of Variables and Fourier Series
Lecture 10: Fourier Sine Series
Lecture 11: Fourier Cosine Series
Lecture 12: Heat Equation on a Circular Ring
Lecture 13: Full Range Fourier Series
Lecture 14: Half Range Fourier Series
Lecture 15: Convergence of Fourier Series
Lecture 16: Bessel's Inequality and Parseval's Theorem
Lecture 17: Heat Conduction with Inhomogeneous BCs (Part I)
Lecture 18: Heat Conduction with Inhomogeneous BCs (Part II)
Lecture 19: Heat Conduction with Distributed Sources
Lecture 20: Heat Conduction with Time Dependent BCs
Lecture 21: Wave Equation on the Line: D'Alembert's Solution
Lecture 22: Wave Equation on the Line: interpreting D'Alembert's Solution
Lecture 23: Wave Equation on Finite Domains: Separation of Variables
Lecture 24: Laplace's Equation
Lecture 25: Laplace's Equation: Neumann, Mixed-BC, and Semi-Infinite Strip Problems
Lecture 26: Laplace's Equation: Circular Domains
Lecture 27: More Circular Domain Problems
Lecture 28: Sturm-Liouville Eigenvalue Problems
Lecture 29: Heat Equation: Robin BC
Lecture 30: Heat and Laplace Problems Involving Euler Equations

Supplementary Notes: