Rutgers Math 421 -- Advanced Calculus for Engineering -- Spring 1999

General Information

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.


Textbook and Syllabus

Erwin Kreyszig; Advanced Engineering Mathematics (eighth edition); Wiley (text), 1999; (ISBN# 0-471-15496-2)

A list sections of the text covered in lectures during the Spring 1999 semester prepared by Dr. R. Doran follows.
 
 

Section in Text Topics
5.1
Laplace transforms; inverse transforms; linearity; shifting.
5.2
Transforms of derivatives and integrals.  Differential equations.
5.3
Unit step function; second shifting theorem; Dirac delta function.
5.4
Differentiation and integrations of transforms.
5.5
Convolution; integral equations.
5.6
Partial fractions; differential equations.
   
10.1
Periodic series; trigonometric series.
10.2
Fourier series.
10.3
Functions of any period.
10.4
Even and odd functions; half-range expansions.
   
11.1
Partial differential equations: basic concepts.
11.2
Modeling:  vibrating strings and the wave equation.
11.3
Separation of variables; use of Fourier series.
11.4
D'Alembert's solution of the wave equation.
11.5
The heat equation; solution by Fourier series.

Archives

Available material from previous semesters.



 

Comments on this page should be sent to: R. T. Bumby
Last updated: June 7, 2000