Charchil Building The Graduate School
  Sylabus

partial differential equations/t - 104220
  Lecture Tutorial Project/
Seminar
Laboratory
Weekly
Hours
2 1    
Credit
Points
2.5
 

Prerequisites: ( differential and integral calculus 2t 104014
and ordinary differential equations/t 104135 )
or ( differential and integral calculus 2t 104014
and ordinary differential equations a 104285 )
or ( ordinary differential equations/t 104135
and infinitesimal calculus 3 104282 )
or ( infinitesimal calculus 3 104282
and ordinary differential equations a 104285 )
or ( differential and integral calculus 2t 104013
and ordinary differential equations/t 104135 )
or ( differential and integral calculus 2t 104013
and ordinary differential equations a 104285 )
Incorporated Courses: differential equations for mechanic.eng. 104213
partial differential equations 104216
partial differential equations/h 104218
partial differential equat.for aeron.eng 104219
Incorporating Courses: int.to partial differential equations 104030
partial differen.equa.and fourier series 104223


Basic concepts for partial equations (PDES) and associated conditions.
Solving pdes of first order, the cauchy problem, and characteristic curves.
Classification of second-order pdes, and canonical forms. Well-posedness.
The one-dimensional wave equation, d'alambert's method.
the method of separation of variables and sturm-liouville problem.
The heat and wave equations on finite interval. the laplace and poisson equations.
The maximun principle and properties of harmonic functions.
Introduction to numerical methods for solving pdes.

 
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Created in 20/06/2013 Time 00:51:55