Teaching Page

Math 316: Partial Differential Equations

Math 316: Midterm Dates: February 22, March 16th

Homework 0 (Due Never: Review problems M215): Assignment Click here: Solutions Click here

Homework 1 (Due Monday Jan. 18th in class): Assignment Click here: Solutions Click here

Homework 2 (Due: Monday Jan. 25th in class): Assignment Click here: Solutions Click here:

Homework 3: (Due: Monday Feb. 1st in class): Assignment Click here: Solutions Click here:

Homework 4: (Due: Wed. Feb. 10th): Assignment Click here: Solutions Click here:

Midterm 1: Questions and Solutions Click here:

Homework 5: (Due:February 26th): Assignment Click here: Solutions Click here:

Homework 6: (Due:): Assignment Click here: Solutions Click here:

Homework 7: (Due:): Assignment Click here: Solutions Click here:

Homework 8: (Due:): Assignment Click here: Solutions Click here:

Midterm 2: Questions and solutions Click here:

Homework 9: (Due:): Assignment Click here: Solutions Click here:

Homework 10: (Due:): Assignment Click here: Solutions Click here:

Math 316: Some Course Notes Courtesy of Prof. Anthony Peirce

Lecture 1 : Review of ODE Click here:

Lecture 2 : Series Solutions to ODE Click here:

Lecture 3 : Regular Singular Points Click here:

Lecture 4 : Frobenius Series Click here:

Lecture 5 : Example: Bessel's equation and Bessel functions Click here:

Lecture 6 : Introduction to PDE I Click here:

Lecture 7 : Introduction to PDE II Click here:

Lecture 8 : Separation of Variables and Fourier Series Click here:

Lecture 9 : Fourier Sine Series Click here:

Lecture 10 : Fourier Cosine Series Click here:

Lecture 11 : Heat Equation on a Circular Ring Click here:

Lecture 12: Full Range Fourier Series Click here:

Lecture 13 : Half Range Fourier Series Click here:

Lecture 14 : Convergence of Fourier Series Click here:

Lecture 15 : Bessel's Inequality and Parseval's Theorem Click here:

Lecture 16 : Heat Conduction with Inhomogeneous BC I Click here:

Lecture 17 : Heat Conduction with Inhomogeneous BC II Click here:

Lecture 18 : Heat Conduction with Distributed Sources Click here:

Lecture 19 : Heat Equation with Time Dependent BCs Click here:

Lecture 20 : Wave Equation on the Line: D'Alembert's Solution Click here:

Lecture 21 : Wave Equation on the Line: Interpreting D'Alembert's Solution Click here:

Lecture 22 : Wave Equation on Finite Domains: Separation of Variables Click here:

Lecture 23 : Laplace's Equation Click here:

Lecture 24 : Laplace's Equation: Neumann, Mixed-BC, and Semi-Infinite Strip Problems Click here:

Lecture 25 : Laplace's Equation: Circular Domains Click here:

Lecture 26 : More Circular Domain Problems Click here:

Lecture 27 : Sturm-Liouville Eigenvalue Problems Click here:

Lecture 28 : Heat Equation: Robin BC Click here:

Lecture 29 : Heat and Laplace Problems Involving Euler's Equations Click here:

Lecture 30 : Finite Difference Methods for PDEs Click here: