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Mathematics

 

Course requirements: 18 hours of mathematics or statistics, 12 hours of which must be chosen from the following courses:

MATH 3310 Theoretical Concepts of Calculus (3 semester hours) Mathematical theory of calculus. Limits, types of convergence, power series, differentiation, and Riemann integration. Prerequisite: MATH 2419. (3-0) Y

MATH 4334 Numerical Analysis (3 semester hours) Solution of linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, solution of ordinary differential equations; computer arithmetic and error analysis. Prerequisites: MATH 2418, 2421, and CS 1315 or equivalent knowledge of a high-level programming language. (Same as CS 4334.) (3-0) Y

PLUS two more upper-division Mathematics courses:

MATH 3303 Introduction to Mathematical Modeling (3 semester hours) An introduction to construction, use, and analysis of empirical and analytical mathematical models. Emphasis on using appropriate technology with tools such as curve fitting, probability and simulation, difference and differential equations, and dimensional analysis. Cannot be used to satisfy mathematics requirements by students in Mathematical Sciences and cannot be used to satisfy the advanced mathematics electives sequence by non-majors. Prerequisites: MATH 2419 and 2418. (3-0) Y

MATH 3310 Theoretical Concepts of Calculus (3 semester hours) Mathematical theory of calculus. Limits, types of convergence, power series, differentiation, and Riemann integration. Prerequisite: MATH 2419. (3-0) Y

MATH 3311 Abstract Algebra I (3 semester hours) Groups, rings, fields, vector spaces modules, linear transformations, and Galois theory. Prerequisite: MATH 2419. (3-0) Y

MATH 3312 Abstract Algebra II (3 semester hours) Continuation of Math 3311. Prerequisite: MATH 3311. (3-0) Y

MATH 3321 Geometry (3 semester hours) Elements of Euclidean, non-Euclidean, and projective geometry. Topics covered will be drawn from the following list: triangles and their distinguishing points, Euler line, nine point circle, extremum problems, circles and spheres, inversions, the circles of Apollonius, projective geometry, axioms of the projective plane, Desargues's theorem, conics, elementary facts of the non-Euclidean geometries. Prerequisite: MATH 2419. (3-0) Y

MATH 3379 Complex Variables (3 semester hours) Geometry and algebra of complex numbers, functions of a complex variable, power series, integration, calculus of residues, conformal mapping. Prerequisites: MATH 2421 and 3310. (3-0) Y

MATH 4301 Mathematical Analysis I (3 semester hours) Sets, real number system, metric spaces, real functions of several variables. Riemann-Stieltjes integration and other selected topics. Prerequisites: MATH 2421 and 3310. (3-0) Y

MATH 4302 Mathematical Analysis II (3 semester hours) Continuation of Math 4301. Prerequisite: MATH 4301. (3-0) Y

MATH 4332 Scientific Math Computing (3 semester hours) Topics covered include introduction to Unix shells, basic and advanced use of Matlab for mathematical and scientific problem solving. Course is conducted in a computer classroom and assignments include applications in numerical and statistical analysis, image processing, and signal processing. Prerequisites: MATH 2418 and MATH 2419 or equivalent. (3-0) S

MATH 4334 Numerical Analysis (3 semester hours) Solution of linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, solution of ordinary differential equations; computer arithmetic and error analysis. Prerequisites: MATH 2418, 2421, and CS 1315 or equivalent knowledge of a high-level programming language. (Same as CS 4334) (3-0) Y

MATH 4341 Topology (3 semester hours) Elements of general topology, topological spaces, continuous functions, connectedness, compactness, completeness, separation axioms, and metric spaces. Prerequisite: MATH 2421 or 3310. (3-0) Y

MATH 4355 Methods of Applied Mathematics (3 semester hours) Topics include some frequently used tools in applied mathematics: Laplace and Fourier transforms, special functions, systems, signals, and their applications in physical sciences and engineering. Prerequisites: MATH 2418 and 2420. (3-0) T

MATH 4362 Partial Differential Equations (3 semester hours) This course presents a survey of classical and numerical methods for the solution of linear and nonlinear boundary value problems governed by partial differential equations. Modeling and application-related issues are included throughout. Prerequisites: MATH 2420, 2421, and knowledge of a high-level programming language. (3-0) T

MATH 4398 Senior Honors in Mathematical Sciences (3 semester hours) For students conducting independent research for honors theses or projects. (3-0) S

MATH 4V03 Independent Study in Mathematics (1-6 semester hours) Independent study under a faculty member's direction. Student must obtain approval from participating math sciences faculty member and the undergraduate advisor. ([1-6]-0) S

MATH 4V91 Undergraduate Topics in Mathematics (1-9 semester hours) Subject matter will vary from semester to semester. ([1-9]-0) S

MATH 4V93 Undergraduate Topics in Applied Mathematics (1-9 semester hours) Subject matter will vary from semester to semester. ([1-9]-0) S

MATH 4V99 Undergraduate Research in Mathematical Sciences (1-9 semester hours) Special undergraduate research project to be arranged with supervising professor. ([1-9]-0) S

For additional information, please contact the Office of Undergraduate Studies