I'm a physics major and I have space for one more class the coming fall semester: either advanced mathematics for engineers and scientists or applied complex analysis. Advanced Mathematics for Engineers and Scientists- Vector analysis, fourier analysis and partial differential equations. Prerequisites: Calc III and Differential Equations Applied Complex Analysis- Analytic functions, complex integration, Taylor and Laurent series, residue theorem, conformal mapping, and harmonic functions. Prerequisite: Calc III I'm leaning towards applied complex analysis because most of the topics in advanced mathematics for engineers and scientists will be covered in two classes I'll be taking later: Mathematical Methods in Physics I&II. Is complex analysis useful for the undergraduate physics major? (I will be taking Linear Algebra and a mathematical structures course at the same time.) Thanks in advance.