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Rodriguez, Nancy

Associate Professor

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Research Areas research areas

Research

research overview

  • Nancy Rodriguez specializes in the study of nonlinear partial differential equations (PDEs), with a specific emphasis on their applications to urban crime, segregation, biological aggregation, chemotaxis, and ecology. Her primary interest lies in mathematical modeling, employing numerical methods and mathematical analysis to gain insights into the dynamics of 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 3310 - Matrix Methods and Applications
    Primary Instructor - Fall 2023 / Spring 2024
    Introduces linear algebra and matrices with an emphasis on applications, including methods to solve systems of linear algebraic and linear ordinary differential equations. Discusses vector space concepts, decomposition theorems, and eigenvalue problems. Degree credit not granted for this course and MATH 2130 and MATH 2135.
  • 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 / Fall 2023 / Spring 2024 / Fall 2024
    May be repeated up to 6 total credit hours.
    • ... more

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