Notes on the Method of Characteristics Click here: Example on Finding 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
Heat Equation, Sturm-Liouville, and Eigenfunction Expansions Click here
Steady-State Solutions for the Heat Equation Click here
Bessel Functions: Heat and Wave Equation Click here
Laplace and Poission's Equation: Qualitative Properties of PDE Click here
Laplacian in a Sphere: Legendre Polynomials Click here
Wave Equation on Infinite Domains: D'Alembert's representation Click here
Integral Transforms and Infinite Domain Problems: Fourier Transforms Click here Laplace Transforms Click here
Notes on the Eikonal Equation Click here: Notes on Finding the Envelope Click here
Homework 0 (Due Never: But Please Review Material): Assignment Click here: Solutions Click here
Homework 1 (Due Sept. 18): Assignment Click here: Solutions Click here
Homework 2 (Due Sept. 25): Assignment Click here: Solutions Click here
Homework 3 (Due October 6th): Assignment Click here: Solutions Click here
Homework 4 (Due October 18th): Assignment Click here: Solutions Click here
Homework 5 (Due October 25th): Assignment Click here: Solutions Click here
Sample Old Midterm : Questions and Solutions Click here:
Midterm 2017 (Oct. 27) Questions and Solutions Click here:
Homework 6 (Due November 8th): Assignment Click here: Solutions Click here
Homework 7 (Due November 24th): Assignment Click here: Solutions Click here
Homework 8 (Due December 1st): Assignment Click here: Bonus question (max 2.5 points) Click here Solutions Click here Bonus Solutions Click here
Homework 9 (Due Never: Not responsible for in 2017): Assignment and solutions Click here:
Sample Finals with Solutions: Questions and Solutions 2013 Click here: Questions and Solutions 2015 Click here: