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Pure and Applied Analysis

The study of analysis provides a basic understanding of qualitative and quantitative problem-solving techniques, the ability to analyze new areas of interest, and the ability to interact with colleagues from other disciplines in a problem-solving situation. Modern applications of analysis include biomedical modeling, image analysis, robotic control, ecology, environmental modeling, and financial engineering.

Faculty

  • J. Brannan: Mathematical modeling, stochastic analysis, financial mathematics
  • T. Khan: Inverse problems, parameter estimation, optical tomography, biomedical imaging, control problems
  • S. Liu: Inverse problems, boundary control theory, partial differential equations
  • M. Mitkovski: Complex analysis, harmonic analysis, operator theory
  • J. Peterson: West nile virus and tularaemia infection models, soft computing and cognitive modeling
  • M. Schmoll: (geometric) control theory, differential topology, symplectic geometry, differential geometry, dynamical systems, in particular, polygonal billiards
  • J. R. Yoon: Medical imaging, inverse problems, elasticity theory, seismic inversion

Curriculum and Course Descriptions


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