Monotonicity Method for Extreme, Singular and Degenerate Inclusions in Electrical Impedance Tomography

This course teaches the monotonicity method for extreme, singular, and degenerate inclusions in electrical impedance tomography. The learning outcomes include understanding how to reconstruct definite and indefinite inclusions with mild assumptions on conductivity perturbations. The course covers skills such as analyzing extreme inclusions corresponding to perfectly conducting or insulating parts of the domain and extending the method to include singular and degenerate behavior in the governing elliptic equation. The teaching method involves lectures on topics such as forward and inverse problems, monotonic relations, and convergence of nomenclature maps. The intended audience for this course includes researchers, practitioners, and students interested in electrical impedance tomography and related fields.