At the Department of Mathematics at Embry‑Riddle Aeronautical University, we are dedicated to cultivating a deep understanding of mathematics and data science, providing students with the skills and knowledge necessary to excel in today's data-driven world. Our programs are designed to prepare students for successful careers in academia, industry, and beyond.
The Department of Mathematics offers Bachelor of Science in Data Science and Bachelor of Science in Computational Mathematics degrees as well as two minors, Applied Mathematics and Computational Mathematics. We also offer Master of Science in Data Science, currently one of the most in-demand career fields.
Virtually every Embry‑Riddle student — whether training to be a pilot, engineer, scientist, or manager — will pass through the Department of Mathematics while earning a degree. Our courses lay the foundational knowledge required for success across all disciplines at the university.
Submissions from 2023
Liouville soliton surfaces obtained using Darboux transformations, S. C. Mancas and K. R. Acharya
Submissions from 2022
Hydrodynamics, Andrei Ludu
Kinematics of Fluids, Andrei Ludu
The Replacement Rule for Nonlinear Shallow Water Waves, A. Ludu and Z. Zong
One-Parameter Darboux-Deformed Fibonacci Numbers, Stefani C. Mancas and H. C. Rosu
Submissions from 2021
A Mathematical Model for Transport and Growth of Microbes in Unsaturated Porous Soil, Harihar Khanal, Andrei Ludu, Ramesh Chandra Timsina, and Kedar Nath Uprety
Nonlinear Schrödinger equation solitons on quantum droplets, A. Ludu and A.S. Carstea
A Numerical Solution of Water Flow in Unsaturated Soil with Evapotraspiration, Andrei Ludu, Harihar Khanal, Ramesh Chandra Timsina, and Kedar Nath Uprety
Reduced Multiplicative Complexity Discrete Cosine Transform (DCT) Circuitry, Sirani Kanchana Mututhanthrige Perera
Reduced Multiplicative Complexity Discrete Cosine Transform (DCT) Circuitry, Sirani Kanchana Mututhanthrige Perera
Submissions from 2020
Dynamics of Discontinuities in Elastic Solids, Arkadi Berezovski and Mihhail Berezovski
Discontinuity-Driven Mesh Alignment for Evolving Discontinuities in Elastic Solids, Mihhail Berezovski and Arkadi Berezovski
2N-Dimensional Canonical Systems and Applications, Andrei Ludu and Keshav Baj Acharya
Experimental study of breathers and rogue waves generated by random waves over non-uniform bathymetry, A. Ludu, A. Wang, Z. Zong, L. Zou, and Y. Pei
A Statistical Learning Regression Model Utilized To Determine Predictive Factors of Social Distancing During COVID-19 Pandemic, Timothy A. Smith, Albert J. Boquet, and Matthew V. Chin
Submissions from 2019
Titchmarsh–Weyl Theory for Vector-Valued Discrete Schrödinger Operators, Keshav R. Acharya
Action of Complex Symplectic Matrices on the Siegel Upper Half Space, Keshav R. Acharya and Matt McBride
An Explicit Finite Volume Numerical Scheme for 2D Elastic Wave Propagation, Mihhail Berezovski and Arkadi Berezovski
A Design of a Material Assembly in Space-Time Generating and Storing Energy, Mihhail Berezovski, Stan Elektrov, and Konstantin Lurie
Ice Spiral Patterns on the Ocean Surface, Andrei Ludu and Zhi Zong
Submissions from 2018
Stability of Solitary and Cnoidal Traveling Wave Solutions for a Fifth Order Korteweg-de Vries Equation, Ronald Adams and S.C. Mancas
Full Field Computing for Elastic Pulse Dispersion in Inhomogeneous Bars, A. Berezovski, R. Kolman, M. Berezovski, D. Gabriel, and V. Adamek
Numerical Simulation of Energy Localization in Dynamic Materials, Arkadi Berezovski and Mihhail Berezovski
Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole, A. Ludu
Nonlocal Symmetries for Time-Dependent Order Differential Equations, Andrei Ludu
An Asymptotic Analysis for Generation of Unsteady Surface Waves on Deep Water by Turbulence, Shahrdad Sajjadi
Submissions from 2017
Numerical Simulation of Acoustic Emission During Crack Growth in 3-point Bending Test, Mihhail Berezovski and Arkadi Berezovski
Differential Equations of Dynamical Order, Andrei Ludu and Harihar Khanal
Traveling Wave Solutions to Kawahara and Related Equations, S.C. Mancas
Elliptic Solutions and Solitary Waves of a Higher Order KdV-BBM Long Wave Equation, S.C. Mancas and Ronald Adams
Traveling Wave Solutions for Wave Equations with Exponential Nonlinearities, S. C. Mancas, H. C. Rosu, and M. Perez-Maldonado
Generalized Thomas-Fermi Equations as the Lampariello Class of Emden-Fowler Equations, Haret C. Rosu and S.C. Mancas
Almost-BPS Solutions in Multi-Center Taub-NUT, C. Rugina and A. Ludu
Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations, Shahrdad Sajjadi
A Regression Model to Predict Stock Market Mega Movements and/or Volatility Using Both Macroeconomic Indicators & Fed Bank Variables, Timothy A. Smith and Alcuin Rajan
Submissions from 2016
A Note on Vector Valued Discrete Schrödinger Operators, Keshav R. Acharya
Remling's Theorem on Canonical Systems, Keshav R. Acharya
Thermoelastic Waves in Microstructured Solids, Arkadi Berezovski and Mihhail Berezovski
Growth of Groups of Wind Generated Waves, Frederique Drullion and Shahrdad Sajjadi
Energy Transfer from Wind to Wave Groups: Theory and Experiment, Andrei Ludu and Shahrdad G. Sajjadi
Evolution of Spherical Cavitation Bubbles: Parametric and Closed-Form Solutions, S.C. Mancas and Haret C. Rosu
Existence of Periodic Orbits in Nonlinear Oscillators of Emden-Fowler Form, S.C. Mancas and Haret C. Rosu
Integrable Abel Equations and Vein's Abel Equation, S.C. Mancas and Haret C. Rosu
Micro Cavitation Bubbles on the Movement of an Experimental Submarine: Theory and Experiments, S.C. Mancas, Shahrdad G. Sajjadi, Asalie Anderson, and Derek Hoffman
Signal Flow Graph Approach to Efficient DST I-IV Algorithms, Sirani M. Perera
Nongauge Bright Soliton of the Nonlinear Schrodinger (NLS) Equation and a Family of Generalized NLS Equations, M. A. Reyes, D. Gutierrez-Ruiz, S. C. Mancas, and H. C. Rosu
Ermakov Equation and Camassa-Holm Waves, Haret C. Rosu and S.C. Mancas
Growth of Stokes Waves Induced by Wind on a Viscous Liquid of Infinite Depth, Shahrdad Sajjadi
Exact Analytical Solution of Viscous Korteweg-deVries Equation for Water Waves, Shahrdad G. Sajjadi and Timothy A. Smith
Growth of Unsteady Wave Groups by Shear Flows, Shahrdad Sajjadi, Julian Hunt, and Frederique Drullion
Wave Motion Induced By Turbulent Shear Flows Over Growing Stokes Waves, Shahrdad Sajjadi, Serena Robertson, Rebecca Harvey, and Mary Brown
Submissions from 2015
Two-Dimensional Structures in the Quintic Ginzburg-Landau Equation, Florent Bérard, Charles-Julien Vandamme, and S.C. Mancas
Pattern Formation of Elastic Waves and Energy Localization Due to Elastic Gratings, A. Berezovski, J. Engelbrecht, and Mihhail Berezovski
Student and Faculty Perceptions of Attendance Policies at a Polytechnic University, Loraine Lowder, Adeel Khalid, Daniel R. Ferreira, Jeanne Law Bohannon, Beth Stutzmann, Mir M. Atiqullah, Rajnish Singh, Tien Yee, Keshav R. Acharya, Craig A. Chin, M. A. Karim, Robert Segiharu Keyser, and Donna Colebeck
Pulses and Snakes in Ginzburg-Landau Equation, S.C. Mancas and Roy S. Choudhury
Integrable Equations with Ermakov-Pinney Nonlinearities and Chiellini Damping, S.C. Mancas and Haret C. Rosu
Barotropic FRW Cosmologies with Chiellini Damping, Haret C. Rosu, S.C. Mancas, and Pisin Chen
Barotropic FRW Cosmologies with Chiellini Damping in Comoving Time, Haret C. Rosu, S.C. Mancas, and Pisin Chen
One-Parameter Supersymmetric Hamiltonians in Momentum Space, H. C. Rosu, S. C. Mancas, and P. Chen
Formation of Three-Dimensional Surface Waves on Deep-Water Using Elliptic Solutions of Nonlinear Schrödinger Equation, Shahrdad G. Sajjadi, S.C. Mancas, and Frederique Drullion
An Economic Regression Model to Predict Market Movements, Timothy A. Smith and Andrew Hawkins
Submissions from 2014
An Alternate Proof of the De Branges Theorem on Canonical Systems, Keshav R. Acharya
Self-Adjoint Extension and Spectral Theory of a Linear Relation in a Hilbert Space, Keshav R. Acharya
Titchmarsh-Weyl Theory for Canonical Systems, Keshav R. Acharya
Computational Models for Nanosecond Laser Ablation, Harihar Khanal, David Autrique, and Vasilios Alexiades
Ermakov-Lewis Invariants and Reid Systems, S.C. Mancas and Haret C. Rosu
A Fast Algorithm for the Inversion of Quasiseparable Vandermonde-like Matrices, Sirani M. Perera, Grigory Bonik, and Vadim Olshevsky
One-Parameter Families of Supersymmetric Isospectral Potentials From Riccati Solutions in Function Composition Form, Haret C. Rosu, S.C. Mancas, and Pisin Chen
Shifted One-Parameter Supersymmetric Family of Quartic Asymmetric Double-Well Potentials, Haret C. Rosu, S.C. Mancas, and Pisin Chen
A Regression Model to Investigate the Performance of Black-Scholes using Macroeconomic Predictors, Timothy A. Smith, Ersoy Subasi, and Aliraza M. Rattansi
Not All Traces On the Circle Come From Functions of Least Gradient in the Disk, Gregory S. Spradlin and Alexandru Tamasan
Variable Viscosity Condition in the Modeling of a Slider Bearing, Kedar Nath Uprety and S.C. Mancas
Submissions from 2013
Hydrodynamic Modeling of ns-Laser Ablation, David Autrique, Vasilios Alexiades, and Harihar Khanal
Dispersive Waves in Microstructured Solids, A. Berezovski, J. Engelbrecht, A. Salupere, K. Tamm, T. Peets, and Mihhail Berezovski
Influence of Microstructure on Thermoelastic Wave Propagation, Arkadi Berezovski and Mihhail Berezovski
Time-Stepping for Laser Ablation, Harihar Khanal, David Autrique, and Vasilios Alexiades
Integrable Dissipative Nonlinear Second Order Differential Equations Via Factorizations and Abel Equations, S.C. Mancas and Haret C. Rosu
Weierstrass Traveling Wave Solutions for Dissipative Benjamin, Bona, and Mahoney (BBM) Equation, S.C. Mancas, Greg Spradlin, and Harihar Khanal
A Study of Energy Transfer of Wind and Ocean Waves, Shahrdad Sajjadi and Mason Bray
Asymptotic Multi-Layer Analysis of Wind Over Unsteady Monochromatic Surface Waves, Shahrdad Sajjadi, Julian Hunt, and Frederique Drullion
Submissions from 2012
Wave Propagation and Dispersion in Microstructured Solids, Arkadi Berezovski, Juri Engelbrecht, and Mihhail Berezovski
On the Stability of a Microstructure Model, Mihhail Berezovski and Arkadi Berezovski
ACE - A Model Centered REU Program Standing on the Three Legs of CSE: Analysis, Computation and Experiment, Hong P. Liu and Andrei Ludu
Vortex Patterns Beyond Hypergeometric, Andrei Ludu
Topology and Geometry of Mixing of Fluids, Andrei Ludu, S.C. Mancas, Ionutz Ionescu, Audrey Gbagaudi, and Matthew Schumacher
2D Novel Structures Along an Opitcal Fiber, Charles-Julien Vandamme and S.C. Mancas
Submissions from 2011
Dispersive Wave Equations for Solids with Microstructure, A. Berezovski, Juri Engelbrecht, and Mihhail Berezovski
Two-Scale Microstructure Dynamics, Arkadi Berezovski, Mihhail Berezovski, and Juri Engelbrecht
Waves in Microstructured Solids: A Unified Viewpoint of Modelling, Arkadi Berezovski, Juri Engelbrecht, and Mihhail Berezovski
On the Stability of a Microstructure Model, Mihhail Berezovski and Arkadi Berezovski
Interactions and Focusing of Nonlinear Water Waves, Harihar Khanal, S.C. Mancas, and Shahrdad Sajjadi
Differential Geometry of Moving Surfaces and Its Relation to Solitons, Andrei Ludu
Differential Geometry of Moving Surfaces and Its Relation to Solitons, Andrei Ludu
Solitary Waves, Periodic and Elliptic Solutions to the Benjamin, Bona & Mahony (BBM) Equation Modified by Viscosity, S.C. Mancas, Harihar Khanal, and Shahrdad G. Sajjadi
Turbulence and Wave Dynamics Across Gas–Liquid Interfaces, Shahrdad Sajjadi, Julian Hunt, Stephen Belcher, Derek Stretch, and John Clegg
Submissions from 2010
Spatiotemporal Two-Dimensional Solitons in the Complex Ginzburg-Landau Equation, Florent Berard and S.C. Mancas
Waves in Materials with Microstructure: Numerical Simulation, Mihhail Berezovski, Arkadi Berezovski, and Juri Engelbrecht
Deformation Waves in Microstructured Materials: Theory and Numerics, Juri Engelbrecht, Arkadi Berezovski, and Mihhail Berezovski
Book Review: Visual Motion of Curves and Surfaces, Andrei Ludu
Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field, Andrei Ludu; J. Van Deun; M. V, Milosevic; A. Cuyt; and F. M. Peeters
