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The Graduate School of Computational Science Ph.D. program offers a Computational and Applied Mathematics specialization tailored for students with bachelor's or master's degrees in mathematics, engineering, or scientific fields. This concentration aims to cultivate advanced research capabilities while ensuring comprehensive mathematical expertise necessary for academic faculty roles or research positions in industry and national laboratories. It also promotes robust interdisciplinary collaboration across science and engineering disciplines at UTC.
The Mathematics Department actively pursues research across diverse mathematical fields, spanning numerical analysis, scientific computation, fluid mechanics (both computational and theoretical), computational biology, statistics, probability, graph theory, operations research, and optimization. Research forms the cornerstone of this program, requiring students to demonstrate mastery through advanced coursework and successfully complete a computational and applied mathematics qualifying examination before advancing to the dissertation phase.
Participants can explore varied research domains while working alongside esteemed mathematics faculty. The program's interdisciplinary approach involves multiple academic groups in both instruction and research guidance. Students must integrate fundamental mathematical training with specialized applied studies. Beyond focused independent research, the curriculum demands thorough command of computational and applied mathematics principles.