Math 456: Partial differential equations

Welcome to the Math 456-556 homepage. Here you will find information on homework, supplementary notes, and other resources.

Notes

• Introduction and preliminaries (PDF)
  
• Linearity and linear operators (PDF)
  
• Conservation principles and PDE models (PDF)
  
• Separation of variables (PDF)
  
• Higher dimension PDEs and eigenvalue problems (PDF)
• Green's functions and distributions (PDF)
  
• Fourier transforms (PDF)
  
• First and second order wave equations (PDF)
  
• Method of characteristics (PDF)
  
• Quasilinear transport, shocks and rarefactions (PDF)
  
• Dispersion relations, linearization and stability (PDF)
  

Homework and Exams

• Homework 1A (due Wednesday, Jan 28 )
  
• Homework 1B (due Wednesday, Feb 4 )
  
• Homework 2A (due Wednesday, Feb 11)
  
• Homework 2B (due Wednesday, Feb 18)
  
• Homework 3 (due Wednesday, Feb 25)
  
• Exam 1, Monday, March 2
  
• Homework 4 (due Wednesday, March 11)
  
• Homework 5A (due Friday, March 27)
  
• Homework 5B (due Wednesday, April 1)
  
• Homework 6 (due Wednesday, April 8)
  
• Exam 2, Wednesday April 15
  
• Homework 7 (due Wednesday April 22)
  
• Homework 8 (due Wednesday, April 29)
  
• Homework 9 (due Wednesday, May 6)