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 2017

Numerical Simulation of Acoustic Emission During Crack Growth in 3-point Bending Test, Mihhail Berezovski and Arkadi Berezovski

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

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

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

#### Submissions from 2015

Two-Dimensional Structures in the Quintic Ginzburg-Landau Equation, Florent Bérard, Charles-Julien Vandamme, and Stefan C. Mancas

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

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

#### Submissions from 2014

A Regression Model to Investigate the Performance if 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

#### Submissions from 2010

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

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 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