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