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.
APPM 2360 - Introduction to Differential Equations with Linear Algebra
Primary Instructor
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Spring 2019 / Fall 2020 / Fall 2021 / Fall 2022 / Spring 2025
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
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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
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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
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Spring 2019 / Spring 2020 / Spring 2021 / Spring 2022
Continuation of APPM 5440. Department enforced prerequisite: APPM 5440.
APPM 5470 - Methods of Applied Mathematics: Partial Differential and Integral Equations
Primary Instructor
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Fall 2025
Studies properties and solutions of partial differential equations. Covers methods of characteristics, well-posedness, wave, heat and Laplace equations, Green's functions and related integral equations. Department enforced prerequisites: APPM 4350 or MATH 4470 and APPM 4360 or MATH 3450.
APPM 6470 - Advanced Partial Differential Equations
Primary Instructor
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Spring 2026
Continuation of APPM 5470. Advanced study of the properties and solutions of elliptic, parabolic, and hyperbolic partial differential equations. Topics include the study of Sobolev spaces and variational methods as they relate to PDEs, and other topics as time permits. Department enforced prerequisite: APPM 5470.
APPM 6920 - Professional Internship
Primary Instructor
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Fall 2025
This class provides a structure for Applied Mathematics graduate students to receive academic credit for internships with industry partners that have an academic component to them suitable for graduate-level work. Participation in the program will consist of an internship agreement between a student and an industry partner who will employ the student in a role that supports the academic goals of the internship. Instructor participation will include review of internship agreement, facilitation of mid-term and final assessments of student performance, and support for any academic-related issues that may arise during the internship period. May be repeated up to 6 total credit hours.
APPM 6950 - Master's Thesis
Primary Instructor
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Fall 2020 / Spring 2021 / Fall 2023 / Spring 2024 / Fall 2024
May be repeated up to 6 total credit hours.
APPM 8400 - Mathematical Biology Seminar
Primary Instructor
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Fall 2021 / Fall 2023 / Fall 2024
Introduces advanced topics and research in mathematical and computational biology. Instructor consent required.
