The Department of Mathematics provides the mathematical foundation for Embry-Riddle’s degree programs, as well as a Bachelor of Science in Computational Mathematics degree and two minors, Applied Mathematics and Computational Mathematics.

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. The flexibility of the Computational Mathematics degree allows well-prepared students to pursue dual majors, increasing their career options and enhancing their marketability to potential employers. Some students will gain foundational math skills, while others pursue innovative programs in pure and applied mathematics. The degree in Computational Mathematics allows students to blend mathematical theory and computational techniques to address problems that arise in a variety of scientific disciplines.

#### Submissions from 2018

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

Traveling Wave Solutions to Kawahara and Related Equations, Stefan C. Mancas

Elliptic Solutions and Solitary Waves of a Higher Order KdV-BBM Long Wave Equation, Stefan C. Mancas and Ronald Adams

Generalized Thomas-Fermi Equations as the Lampariello Class of Emden-Fowler Equations, Haret C. Rosu and Stefan C. Mancas

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

Growth of Groups of Wind Generated Waves, Frederique Drullion and Shahrdad Sajjadi

Evolution of Spherical Cavitation Bubbles: Parametric and Closed-Form Solutions, Stefan C. Mancas and Haret C. Rosu

Existence of Periodic Orbits in Nonlinear Oscillators of Emden-Fowler Form, Stefan C. Mancas and Haret C. Rosu

Integrable Abel Equations and Vein's Abel Equation, Stefan C. Mancas and Haret C. Rosu

Micro Cavitation Bubbles on the Movement of an Experimental Submarine: Theory and Experiments, Stefan C. Mancas, Shahrdad G. Sajjadi, Asalie Anderson, and Derek Hoffman

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 Stefan 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 Stefan C. Mancas

Pulses and Snakes in Ginzburg-Landau Equation, Stefan C. Mancas and Roy S. Choudhury

Integrable Equations with Ermakov-Pinney Nonlinearities and Chiellini Damping, Stefan C. Mancas and Haret C. Rosu

Barotropic FRW Cosmologies with Chiellini Damping, Haret C. Rosu, Stefan C. Mancas, and Pisin Chen

Barotropic FRW Cosmologies with Chiellini Damping in Comoving Time, Haret C. Rosu, Stefan 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, Stefan C. Mancas, and Frederique Drullion

An Economic Regression Model to Predict Market Movements, Timothy A. Smith and Andrew Hawkins

#### Submissions from 2014

Ermakov-Lewis Invariants and Reid Systems, Stefan C. Mancas and Haret C. Rosu

One-Parameter Families of Supersymmetric Isospectral Potentials From Riccati Solutions in Function Composition Form, Haret C. Rosu, Stefan C. Mancas, and Pisin Chen

Shifted One-Parameter Supersymmetric Family of Quartic Asymmetric Double-Well Potentials, Haret C. Rosu, Stefan 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 Stefan C. Mancas

#### Submissions from 2013

Interactions and Focusing of Nonlinear Water Waves, Harihar Khanal, Stefan C. Mancas, and Shahrdad Sajjadi

Integrable Dissipative Nonlinear Second Order Differential Equations Via Factorizations and Abel Equations, Stefan C. Mancas and Haret C. Rosu

Weierstrass Traveling Wave Solutions for Dissipative Benjamin, Bona, and Mahoney (BBM) Equation, Stefan 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 2011

Solitary Waves, Periodic and Elliptic Solutions to the Benjamin, Bona & Mahony (BBM) Equation Modified by Viscosity, Stefan 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

Numerical Studies of Particle Laden Flow in Dispersed Phase, Shahrdad Sajjadi and Rumma Dutta

On Osgood's Criterion for Classical Wave Equations and Nonlinear Shallow Water Wave Equations, Timothy Smith and Greg Spradlin

Heteroclinic Solutions to an Asymptotically Autonomous Second-Order Equation, Gregory S. Spradlin

#### Submissions from 2009

Periodic and Chaotic Traveling Wave Patterns in Reaction--Diffusion/Predator--Prey Models with General Nonlinearities, Stefan C. Mancas and Roy S. Choudhury

Interaction of Tollmien-Schlichting Waves in the Air with the Sea Surface, Shahrdad G. Sajjadi and Harihar Khanal

On Nonlinear Generalizations of the KdV and BBM Equations from Long Range Water Wave Theory, Timothy A. Smith

#### Submissions from 2008

On Existence and Uniqueness Results for the BBM Equation with Arbitrary Forcing Terms, Timothy A. Smith

#### Submissions from 2007

Scattered Homoclinics to a Class of Time-Recurrent Hamiltonian Systems, Gregory S. Spradlin

#### Submissions from 2006

Oscillation Criteria for First-Order Forced Nonlinear Difference Equations, Ravi P. Agarwal, Said R. Grace, and Tim Smith

On Doubly Periodic Solutions of Quasilinear Hyperbolic Equations of the Fourth Order, T. Kiguradze and T. Smith

An Elliptic Equation with No Monotonicity Condition on the Nonlinearity, Gregory S. Spradlin

#### Submissions from 2004

Existence of Solutions to a Hamiltonian System Without Convexity Condition on the Nonlinearity, Gregory S. Spradlin

#### Submissions from 2002

Coupling of COAMPS and WAVETECH with Improved Wave Physics, Shahrdad Sajjadi, Pat Fitzpatrick, Gueorgui Mostovoi, Yongzuo Li, and Matt Bettencourt

#### Submissions from 2001

Interfering Solutions of a Nonhomogeneous Hamiltonian System, Gregory S. Spradlin

#### Submissions from 2000

An Elliptic Equation With Spike Solutions Concentrating at Local Minima of the Laplacian of the Potential, Gregory S. Spradlin

#### Submissions from 1996

An Almost Periodic Function of Several Variables With No Local Minimum, Gregory S. Spradlin