Most information can be found on the main course page. The outline below is taken a syllabus in the department files that was prepared by Dr. R. Doran.
A list sections of the text covered in lectures
during the Spring 1999 semester prepared by Dr. R. Doran follows.
Section in Text  Topics 


Laplace transforms; inverse transforms; linearity; shifting. 

Transforms of derivatives and integrals. Differential equations. 

Unit step function; second shifting theorem; Dirac delta function. 

Differentiation and integrations of transforms. 

Convolution; integral equations. 

Partial fractions; differential equations. 

Periodic series; trigonometric series. 

Fourier series. 

Functions of any period. 

Even and odd functions; halfrange expansions. 

Partial differential equations: basic concepts. 

Modeling: vibrating strings and the wave equation. 

Separation of variables; use of Fourier series. 

D'Alembert's solution of the wave equation. 

The heat equation; solution by Fourier series. 
Available material from previous semesters.
Comments on this page should be sent to: R. T. Bumby
Last updated: June 7, 2000