# Mathematics

The mission of the mathematics program at Texas A&M University at Qatar is to provide its students with a foundation for quantitative reasoning and problem solving skills necessary to be a successful engineer, as well as to introduce technology tools such as Matlab to solve non routine problems. By completing a rigorous sequence of courses in Calculus, Differential Equations, and Linear Algebra with applications in a variety of scientific and engineering fields, the engineering student at Texas A&M at Qatar is prepared to think critically, to analyze nonroutine problems, and to use technology to help solve these problems when necessary. Members of the mathematics faculty are dedicated teachers whose research areas include mathematical modeling, chaos synchronization theory, neural networks, electrical power systems, fluid dynamics, and inverse problems. Faculty are applying these areas of research through projects funded by the Qatar National Reserach Fund (QNRF) for both Undergraduate Research Experience Programs (UREP) and National Priorities Research Programs (NPRP).

To view the full list of Mathematics courses offered by the home department at Texas A&M University in College Station, please follow the link Department of Mathematics.

## Curricula in Mathematics

A comprehensive understanding of mathematics is a key foundation to engineering. The Texas A&M University at Qatar Mathematics Curriculum is structured to teach mathematical concepts that enhance the students' analytical abilities and to use quantitative mathematical tools and apply them to problems in engineering. Students will learn coordinate systems, vectors, analytical geometry, functions, differentiation and integration techniques, computer algebra systems (Maple and Matlab), multiple integration techniques, gradients, line and surface integrals, stokes' theorems, differential equations, matrices, determinants, and topics in applied mathematics such as Fourier series and wavelets with application to data compression and signal processing.

## Course Descriptions

**MATHEMATICS (MATH)**

**150. Functions, Trignometry and Linear Systems. (3-2). Credit 4.**

Graphs, functions, college algebra and trignometry, linear systems and vectors.

**151. Engineering Mathematics I. (3-2). Credit 4.**

Rectangular coordinates, vectors, analytical geometry, functions, limits, derivatives of functions, applications, integration, computer algebra (Maple). Prerequisite: MATH 150 or equivalent. Credit will not be given for more than one of MATH 131, 142, 151, and 171.

**152. Engineering Mathematics II. (3-2). Credit 4.**

Differentiation and integration techniques and their application (areas, volumes, work), improper integrals, approximate integration, analytic geometry, vectors, infinite series, power series, Taylor series, computer algebra (Maple). Prerequisite: MATH 151 or equivalent. Credit will not be given for both MATH 152 and 172

**251. Engineering Mathematics III. (3-0). Credit 3.**

Vector algebra, calculus of functions of several variables, partial derivatives, directional derivatives, gradient, multiple integration, line and surface integrals, Stokes' theorems. Prerequisite: MATH 152 or equivalent. Credit will not be given for more than one of MATH 221, 251, and 253.

**308. Differential Equations. (3-0). Credit 3.**

Ordinary differential equations, solutions in series, solutions using Laplace transforms, systems of differential equations. Prerequisites: MATH 251 or equivalent; knowledge of computer algebra system.

**311. Topics in Applied Mathematics I. (3-0). Credit 3.**

Matrices, determinants, systems of linear equations, eigenvectors, diagonalization of symmetric matrices, special functions; vector analysis, including normal derivatives, gradient, divergence, curl, line, and surface integrals, Gauss', Green's and Stokes' theorems. Prerequisites: MATH 221, 251, or 253; MATH 308 or concurrent enrollment therein.

**411. Mathematical Probability. (3-0). Credit 3.**

Probability spaces, discrete and continuous random variables, special distributions, joint distribution, expectations, law of larger numbers, the central limit theorem. Prerequisite: MATH 221 or equivalent.

**414. Fourier Series and Wavelets. (3-0). Credit 3.**

Fourier series and wavelets with applications to data compression and signal processing. Prerequisite: MATH 222 or 304 or 311.

## Minor in Mathematics

The courses listed below constitute 17 credit hours, all of which are required for a minor in Mathematics. A grade of "C" or better must be earned in each of the specified courses.

- MATH 151: Engineering Mathematics I. Credit 4
- MATH 152: Engineering Mathematics II. Credit 4
- MATH 308: Differential Equations. Credit 3
- MATH 311: Topics in Applied Mathematics I. Credit 3
- MATH 414: Fourier Series and Wavelets. Credit 3