Supplements to the Lectures: (.pdf files)

Notes on the Method of Characteristics Click here

Notes on Quasiliner PDE, Shocks, and Traffic Flow Click here

Notes on Envelopes Click here

Notes on Eikonal Equation and Fully Nonlinear First Order PDE's Click here

Steady-State Solutions for the Heat Equation Click here

Heat Equation, Sturm-Liouville, and Eigenfunction Expansions Click here

Bessel Functions: Heat and Wave Equation Click here

Wave Equation on Infinite Domains: D'Alembert's representation Click here

Laplace and Poission's Equation: Qualitative Properties of PDE Click here

Laplacian in a Sphere: Legendre Polynomials Click here

Integral Transforms and Infinite Domain Problems: Brief Overview Click here

Homeworks: (.pdf files)

Homework 0 (Due Sept. 8): Assignment Click here: Solutions Click here

Homework 1 (Due Sept. 15): Assignment Click here: Solutions Click here

Homework 2 (Due Sept. 22): Assignment Click here: Solutions Click here

Homework 3 (Due Oct. 1st): Assignment Click here: Solutions Click here

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

Homework 5 (Due Oct. 20): Assignment Click here: Solutions Click here

Midterm : Questions Click here: Solutions Click here

Homework 6 (Due Nov. 3rd): Assignment Click here: Solutions Click here

Homework 7 (Due Nov. 12th): Assignment Click here: Solutions Click here

Homework 8 (Due Nov. 21th): Assignment Click here: Solutions Click here

Homework 9 (Due Nov. 28th): Assignment Click here: Solutions Click here

Homework 10 (Not Due): Assignment Click here: Solutions Click here