Main presenter
Co-presenter(s)
Name :
Mr. Pedro Rodriguez
Name:
Dr. Jose Luis Galan
E-mail:
prodriguez@uma.es
E-mail:
jl_galan@uma.es
Institution or
Company:
University of Malaga
Name:
Miss M. Angeles Galan
Department:
Applied Mathematics
E-mail:
magalan@cs.umu.se
City:
Malaga
Name:
Dr. Yolanda Padilla
State/Province:
Malag
E-mail:
ypadilla@ctima.uma.es
Country:
Spain
Name:
Type of
presentation:
Lecture : 25 minutes.
E-mail:
Conference
strand and number:
Derive & TI-CAS ,
Number:
D07
Schedule:
Room:
Thursday, 12h00
1350
Related website:
Title of
presentation:
RESIDUE.MTH: SOLVING PROBLEMS OF INTEGRATION USING THE RESIDUE THEOREM
Abstract:
In this paper we present the file RESIDUE.MTH, created to be used in subjects that deal with complex variable, aimed at Engineering students. Such file contains a series of macros which permit to solve integration problems using the residue theorem. The macros contained in the file can be grouped within the following blocks: - Compute of residues (of a given singularity, of the singularities of rational functions). - Complex integrals using the residue theorem. - Improper integrals of a rational function. - Improper integrals of the form f(x)sin(kx) or f(x)cos(kx) where f(x) is a rational function. We also show in the paper some examples of applications that have been carried out with our students of Telecommunication Engineering. The macros have been developed in order to be used as didactical tools with explications of what the macros do step by step (using DERIVE as a PeCAS or as a white-box CAS). Finally, we include the conclusions obtained after using this file with our students and also some future work on this subject.