For a paper based on " Fundamentals of Complex Analysis with Applications to Engineering and Science " by Saff and Snider, here are four structured paper topics ranging from expository to research-focused. 1. Conformal Mappings in Aerodynamics and Fluid Flow

: Solving improper integrals found in quantum mechanics or electromagnetic field theory. 3. Signal Processing and the Z-Transform

: Exploring the relationship between the Laurent series and the Z-transform for discrete-time signals.

Focus on the power of the Residue Theorem to simplify complex problems into algebraic sums.

: The use of conformal mapping to map flow around a complex wing shape (Joukowski airfoil) to flow around a simple circle.