Real analysis: inequalities, the continuum property ... Complex analysis: geometry in the complex plane, limits and continuity, holomorphic functions, line integrals, Cauchy's theorem and some ...

This area of research blends techniques from partial differential equations, complex analysis and differential ... Seminal work has demonstrated that partial Cauchy data on the boundary can ...

The course will cover the fundamental concepts and methods in complex analysis. The basic objects of study in the ... complex differentiation, Cauchy-Riemann equations, Cauchy's integral theorem and ...