Dr. Vernerey's research interests are mathematical modeling and solving systems of nonlinear reactiondiffusion equations. This work in applied mathematics utilizes her training in mathematical physics, differential equations, asymptotical and perturbation methods, and numerical solutions of partial differential equations. These areas have been the building blocks for her research in the mathematical modeling of frontal polymerization. This area of research opens the door to fascinating studies at the interface between mathematics, physics, chemistry, and biology. One such multidisciplinary topic is combustion theory (exothermic polymerization waves are in many respects similar to combustion waves) and another involves the emerging field of tissue engineering and tissue growth. This later application typically deals with diffusionreaction equations, which can, in some cases lead to the propagation of degradation fronts.
APPM 4120  Introduction to Operations Research
Primary Instructor

Spring 2018 / Spring 2020 / Spring 2022
Studies linear and nonlinear programming, the simplex method, duality, sensitivity, transportation and network flow problems, some constrained and unconstrained optimization theory, and the KuhnTucker conditions, as time permits. Same as APPM 5120 and MATH 4120 and MATH 5120.
APPM 4650  Intermediate Numerical Analysis 1
Primary Instructor

Spring 2019 / Spring 2021 / Spring 2022
Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant computer applications and software. Department enforced prerequisite: knowledge of a programming language. Same as MATH 4650.
APPM 5120  Introduction to Operations Research
Primary Instructor

Spring 2018 / Spring 2020 / Spring 2022
Studies linear and nonlinear programming, the simplex method, duality, sensitivity, transportation and network flow problems, some constrained and unconstrained optimization theory, and the KuhnTucker conditions, as time permits. Recommended prerequisites: APPM 3310 OR MATH 2130 OR MATH 2135 or equivalent. Same as APPM 4120 and MATH 4120 and MATH 5120.
CSCI 2820  Linear Algebra with Computer Science Applications
Primary Instructor

Fall 2023
Introduces the fundamentals of linear algebra in the context of computer science applications. Includes vector spaces, matrices, linear systems, and eigenvalues. Includes the basics of floating point computation and numerical linear algebra.
CSCI 3104  Algorithms
Primary Instructor

Spring 2024
Covers the fundamentals of algorithms and various algorithmic strategies, including time and space complexity, sorting algorithms, recurrence relations, divide and conquer algorithms, greedy algorithms, dynamic programming, linear programming, graph algorithms, problems in P and NP, and approximation algorithms. Same as CSPB 3104.
CSCI 3656  Numerical Computation
Primary Instructor

Fall 2023
Covers development, computer implementation, and analysis of numerical methods for applied mathematical problems. Explores topics such as floating point arithmetic, numerical solution of linear systems of equations, root finding, numerical interpolation, differentiation, and integration.
MATH 1150  Precalculus Mathematics
Primary Instructor

Spring 2018 / Summer 2018 / Fall 2018
Develops techniques and concepts prerequisite to calculus through the study of trigonometric, exponential, logarithmic, polynomial and other functions. For more information about the math placement referred to in the "Enrollment Requirements", please contact your academic advisor. Degree credit not granted for this course and APPM 1235 or MATH 1021.
MATH 1212  Data and Models
Primary Instructor

Spring 2019 / Fall 2019 / Fall 2020 / Fall 2021
Engages students in statistical and algebraic problem solving through modeling data and real world questions taken from the social and life sciences. The course will emphasize these skills and the mathematical background needed for a university level statistics course. Credit not granted for this course and MATH 1011.
MATH 3430  Ordinary Differential Equations
Primary Instructor

Summer 2018 / Fall 2018 / Summer 2019 / Fall 2019 / Spring 2020 / Summer 2020 / Fall 2020 / Summer 2021
Involves an elementary systematic introduction to firstorder scalar differential equations, nth order linear differential equations, and ndimensional linear systems of firstorder differential equations. Additional topics are chosen from equations with regular singular points, Laplace transforms, phase plane techniques, basic existence and uniqueness and numerical solutions. Formerly MATH 4430.
MATH 3850  Seminar in Guided Mathematics Instruction
Primary Instructor

Spring 2018 / Spring 2019
Provides learning assistants with an opportunity to analyze assessment data for formative purposes and develop instructional plans as a result of these analyses. These formative assessment analyses will build on the literature in the learning sciences. Students gain direct experiences interacting with the tools of the trade, especially with actual assessment data and models of instruction. May be repeated up to 3 total credit hours. Restricted to learning assistants in Math.
MATH 4120  Introduction to Operations Research
Primary Instructor

Spring 2018 / Spring 2020 / Spring 2022
Studies linear and nonlinear programming, the simplex method, duality, sensitivity, transportation, and network flow problems, some constrained and unconstrained optimization theory, and the KuhnTucker conditions, as time permits. Same as MATH 5120 and APPM 4120 and APPM 5120.
MATH 4470  Partial Differential Equations
Primary Instructor

Fall 2021
Studies initial, boundary, and eigenvalue problems for the wave, heat, and potential equations. Solution by separation of variables, Green's function, and variational methods. Same as MATH 5470.
MATH 4650  Intermediate Numerical Analysis 1
Primary Instructor

Spring 2019 / Spring 2021 / Spring 2022
Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant computer applications and software. Department enforced restriction: knowledge of a programming language. Same as APPM 4650.
MATH 4820  History of Mathematical Ideas
Primary Instructor

Spring 2021
Examines the evolution of a few mathematical concepts (e.g., number, geometric continuum, or proof), with an emphasis on the controversies surrounding these concepts. Begins with Ancient Greek mathematics and traces the development of mathematical concepts through the middle ages into the present. Recommended restriction: completion of upper division Written Communication requirement. Same as MATH 5820.
MATH 5120  Introduction to Operations Research
Primary Instructor

Spring 2018 / Spring 2020 / Spring 2022
Studies linear and nonlinear programming, the simplex method, duality, sensitivity, transportation and network flow problems, some constrained and unconstrained optimization theory, and the KuhnTucker conditions, as time permits. Recommended prerequisites: APPM 3310 OR MATH 2130 OR MATH 2135 or equivalent. Same as APPM 4120 and MATH 4120 and APPM 5120.
MATH 5470  Partial Differential Equations
Primary Instructor

Fall 2021
Studies initial boundary and eigenvalue problems for the wave, heat and potential equations. Solution by separation of variables, Green's function, and variational methods. Department enforced prerequisite: MATH 3430 or MATH 5430. Instructor consent required for undergraduates. Same as MATH 4470.
MATH 5820  History of Mathematical Ideas
Primary Instructor

Spring 2021
Examines the evolution of a few mathematical concepts (e.g., number, geometric continuum, or proof), with an emphasis on the controversies surrounding these concepts. Begins with Ancient Greek mathematics and traces the development of mathematical concepts through the middle ages into the present. Recommended requisite: completion of upper division Written Communication requirement. Same as MATH 4820.