Partial Differential Equations I

Department: 
MATH
Course Number: 
4347
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Every fall semester

Method of characteristics for first and second order partial differential equations, conservation laws and shocks, classification of second order systems and applications.

Prerequisites: 

(MATH 2403 or MATH 2413 or MATH 24X3 or MATH 2552 or MATH 2562 or MATH 2X52) and (MATH 1522 or MATH 1553 or MATH 1554 or MATH 1564 or MATH 1502 or MATH 1512)

Course Text: 

At the level of Partial Differential Equations, Fritz John

Topic Outline: 
  • First Order PDEs; The method of characteristics; Conservation laws and shocks
  • Second Order PDEs; Constant coefficients; Boundary conditions; Hyperbolic equations; Parabolic equations; Elliptic equations
  • Separation of Variables and Series Solutions
  • Green's Functions and Fundamental Solutions