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Rodriguez, Nancy

Associate Professor

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Research Areas research areas

Research

research overview

  • Nancy Rodriguez focuses on the study of nonlinear partial differential equations (PDEs), in particular those with applications to urban crime, segregation, biological aggregation, chemotaxis, and ecology. Fundamentally, she is interested in mathematical modeling and the use of numerical and mathematical analysis to shed light into social, biological and ecological systems.

keywords

  • mathematical modeling, partial differential equations, chemotaxis, biological modeling

Publications

selected publications

Teaching

courses taught

  • APPM 2360 - Introduction to Differential Equations with Linear Algebra
    Primary Instructor - Spring 2019 / Fall 2020 / Fall 2021 / Fall 2022
    Introduces ordinary differential equations, systems of linear equations, matrices, determinants, vector spaces, linear transformations, and systems of linear differential equations. Credit not granted for this course and both MATH 2130 and MATH 3430.
  • APPM 5440 - Applied Analysis 1
    Primary Instructor - Fall 2018 / Fall 2020 / Fall 2021 / Fall 2022
    Discusses the elements of basic real and complex analysis, Banach spaces, Lp spaces and many relevant inequalities. Includes applications of existence and uniqueness of solutions to various types of ordinary differential equations, partial differential equations, and integral equations. Department enforced prerequisites: APPM 4440 and APPM 4450.
  • APPM 5450 - Applied Analysis 2
    Primary Instructor - Spring 2019 / Spring 2020 / Spring 2021 / Spring 2022
    Continuation of APPM 5440. Department enforced prerequisite: APPM 5440.
  • APPM 6950 - Master's Thesis
    Primary Instructor - Fall 2020 / Spring 2021
    May be repeated up to 6 total credit hours.
  • APPM 8000 - Colloquium in Applied Mathematics
    Primary Instructor - Fall 2019
    Introduces graduate students to the major research foci of the Department of Applied Mathematics.
  • APPM 8400 - Mathematical Biology Seminar
    Primary Instructor - Fall 2021
    Introduces advanced topics and research in mathematical and computational biology. Instructor consent required.

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