The Core is an opportunity to inquire into the fundamental aspects of being and our relationship with God, nature and our fellow human beings.

Explore the Core

Applied Mathematics, Concentration

Applied mathematics explores the pure mathematical principles that undergird subjects of interest to other disciplines. The concentration includes a series of mathematics courses, an elective in applied mathematics or computer science, and an elective in another field.

The Scope and Requirements of the Applied Mathematics Concentration

Philosophy: Much of the history and philosophy of applied mathematics can be summarized by a quote from the preface to The Functions of Mathematical Physics by Harry Hochstadt: "The topics covered ... were first studied by the outstanding mathematicians of the 18th and 19th centuries. Among the many who devoted themselves to these studies are Gauss, Euler Fourier, Legendre and Bessel. These men did not recognize the modern and somewhat artificial distinction between pure and applied mathematics. Much of their work was stimulated by physical problems that led to the studies of differential equations. Frequently they developed generalizations to obtain results having no immediate or obvious applications. As a consequence, mathematics was often ahead of its time, having tools ready before physicists and engineers felt the need for them." The concentration reflects this historic interplay by presenting topics of obvious interest to applied scientists as well as being of purely mathematical interest.

The concept of transformations plays a central role in applied mathematics. Partial differential equations are transformed into ordinary differential equations. Ordinary differential equations are transformed in algebraic equations. Algebraic systems are transformed into simple algebraic systems. Thus, one can understand why linear algebra plays a fundamental role in the concentration.

Applied Mathematics Courses

Vectors, vector calculus, functions of several variables, multiple integrals. Prerequisite: Grade of C (2.0) or better in Mathematics 1411, or satisfactory placement. Fall.
Geometry of R2 and R3 including the dot product and parametric equations of lines and planes. Systems of linear equations, matrices, determinants, vector spaces, and linear transformations. Applications to the sciences and economics are included. Prerequisite: Mathematics 1411 or consent of instructor. Fall

Symmetric linear systems, equilibrium equations of the discrete and continuous cases, Fourier series, complex analysis and initial value problems. Prerequisite: Math 2412. Spring, odd years.

Choose from a course such as Differential Equations (Math 3324), Probability (Math 3326), Statistics (Math 3327), Numerical Analysis (Math 3338) or a Computer Science course approved by the director.

Choose from a course from a field other than Applied Mathematics. Possible choices include:

CHE 3331 Physical Chemistry I
ECO 3327 Statistical Theory and Methods
ECO 3328 Business and Economic Forecasting
PHI 4333 Philosophy of Science
PHY 3341 Optics
PHY 3363 Computational Physics
PHY 4327 Electromagnetic Theory
PHY 4423 Theoretical Mechanics
PHY 4424 Quantum Mechanics
PSY 3337 Statistical Methods
Other electives as approved by the department.

Applied Mathematics Concentration Faculty

David Andrews Ph.D.

Associate Dean, Constantin College, Math

Phone: (972) 721-5039

Email: andrews@udallas.edu

Office: Braniff Graduate Building, First Floor

Said Bakkar Ph.D.

Affiliate Assistant Professor, Physics

Phone: (972) 721-5372

Email: sbakkar@udallas.edu

Office: Haggerty Science Center #38

Erick Chastain PH.D

Assistant Professor, Computer Science

Email: echastain@udallas.edu

Office: Patrick E. Haggerty Science Building #46

Will H. Flanagan Ph.D.

Affiliated Research Assistant Professor, Physics

Phone: (972) 721-5072

Email: wflanagan@udallas.edu

Office: Haggerty Science Center #12

Sally Hicks Ph.D.

Professor, Physics

Robert Hochberg (Rob) Ph.D.

Associate Professor, Computer Science

Phone: (972) 721-5307

Email: hochberg@udallas.edu

Office: Patrick E. Haggerty Science Building #50

Sarka Malkova Ph.D

Phone: (972) 721-5175

Email: smalkova@udallas.edu

Office: Patrick E. Haggerty Science Building #44

Russell Mirabelli MS-INSY

Phone: (972) 721-5175

Email: rmirabelli@udallas.edu

Office: Patrick E. Haggerty Science Building #44

Jacob Moldenhaur Ph.D.

Department Chair and Associate Professor, Physics

Phone: (972) 721-4117

Email: jmoldenhauer@udallas.edu

Office: Haggerty Science Center #40

Richard Olenick Ph.D

Professor, Physics

Phone: (972) 721-5313

Email: olenick@udallas.edu

Office: Haggerty Science Center #41

John Osoinach Ph.D.

Associate Professor, Chairman, Mathematics

Phone: (972) 265-5732

Email: josoinach@udallas.edu

Office: Patric E. Haggerty Science Building #47

D. Phillips (Paul) Ph.D.

Associate Professor, Mathematics

Phone: (972) 721-5224

Email: phillips@udallas.edu

Office: Haggerty Science Center #49

Diego Rojas Ph.D.

Postdoctoral Instructor of Mathematics

Phone: (972) 721-4083

Email: darojas@udallas.edu

Office: Patrick E Haggerty Science Building #51

Teresa Schichl Ph.D.

Phone: (972) 721-5175

Email: tschichl@udallas.edu

Office: Patrick E. Haggerty Science Building #44

Arthur Sweeney

Laboratory Manager, Physics

Phone: (972) 721-5072

Email: sweeney_a@sbcglobal.net

Office: Patrick E. Haggerty Science Center #19