MATH 417                      SEMESTER SYLLABUS              Fall 1996 
                                                                               
                                                                               
Title: Complex Analysis with Applications                                      
                                                                               
Catalog description:                                                           
Complex numbers, analytic functions, Complex integration, Taylor and           
Laurent Series, residue calculus, branch cuts, conformal mapping,              
argument principle, Rouche's theorem, Poisson Integral formula,                
Analytic continuation.                                                        
                                                                               
Prerequisites:                                                                 
Grade C or better in MATH 210: CALCULUS III                                    
                                                                               
Semester Credit hours:  3                                                      
                                                                               
 List of Topics                            Hours (Total at end of list)        
                                                                               
                                                                              
                                                                              
Complex numbers and their geometric representation     3                             
Analytic functions                                     8                             
Integration, Laurent Series, residues                 11                             
Branch cuts                                            3                             
Conformal mapping                                      5                             
Argument principle, Rouche's theorem                   5                             
Poisson Integral formula                               5                             
Analytic Continuation                                  5                             
                             Total                    45                             
                                                                              
TEXT:                                                                         
                                                                              
R.V. Churchill, Complex Variables and Applications, 6th Ed., McGraw-Hill