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 29th): Assignment Click here: Solutions Click here:
Homework 6: (Due: March 7th): Assignment Click here: Solutions Click here:
Homework 7: (Due: March 14th): Assignment Click here: Solutions Click here:
Sample Midterm 2: Questions Click here:
Homework 8: (Due: March 23rd): Assignment Click here: Solutions Click here:
Midterm 2: Questions and solutions Click here:
Homework 9: (Due: April 1st): Assignment Click here: Solutions Click here:
Homework 10: (Due: April 8th): Assignment Click here: Solutions Click here:
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:
Fourier series notes : More notes and worked examples 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: