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