Mathematics

The Department of Mathematics provides a broad liberal arts foundation in the area of mathematical study. Students are introduced to mathematical topics, principles and foundational preparation that will assist with graduate school entry and/or entry into professional fields. The curriculum emphasizes computing and mathematical modeling designed to give students a modest advantage in the job market. The Department of Mathematics programs leads to the Bachelor of Science degree and/or preparation of the Educator Preparation program.

MATHEMATICS BROCHURE

Mathematics Degree Plan

Mathematics Course Descriptions

*MATH 1314 – College Algebra (3 credit hours). Algebraic concepts with applications including linear models, polynomial and rational models, exponential and logarithmic models and the mathematics of finance.

MATH 1316 – College Trigonometry (3 credit hours). Trigonometric, circular, logarithmic and exponential functions, their properties, and their relationships to topics in mathematics; application of trigonometry to the graphic and non-graphic solution of problems.

MATH 1342 – Statistics (3 credit hours). Course offerings consist of the two basic concepts: descriptive statistics and inferential statistics. Descriptive statistics includes a study of basic vocabulary and description of data collecting; summarizing and presenting data; measures of dispersion and variability and their significance. Inferential statistics deals with survey of concepts of probability; discrete and normal distributions and their application; sampling, tests of hypotheses, and non-parametric tests. Each student will be required to conceptualize, design, and implement a project. Prerequisite: six hours of mathematics. Computer skills will be useful.

MATH 2330 – Discrete and Combinatorial Mathematics (3 credit hours). Bit strings, basic concepts of set theory, algebraic structures, Cartesian products and relations, mappings, Boolean algebra, Boolean functions, applications to circuits, lattices, combinatorial principles, groups, generating functions, and recursion.

MATH 2413 – Calculus and Analytical Geometry I (4 credit hours). Studies rate of change of functions, limits, derivatives of algebraic functions; differentials, continuity, application to relative time rates; curve plotting, maximum and minimum, Rolle’s Theorem; Mean Value Theorem, indefinite integrals, differentiation and integration of sine and cosine functions, and other transcendental functions. Prerequisite: MATH 1314.

MATH 2414 – Calculus and Analytical Geometry II (4 credit hours) Studies applications of definite integrals to areas between curves, volumes, approximations, length of arc; areas of surfaces of revolution, moments, centroids, Pappus theorem; pressure, work; various techniques of integration, and special topics. Prerequisite: MATH 2413.

MATH 3305 – Ordinary Differential Equations (3 credit hours). First-order equations, non- linear and linear; applications, second-and higher-order linear homogeneous and non- homogeneous equations; applications to vibrations and circuits, solutions in series. Cauchy equations, and the Frobenuis method are presented. Prerequisite: MATH 2314

MATH 3315 – Linear Algebra (3 credit hours). Vectors in R and C, linear equations, matrices, vector spaces, subspecies, basis and dimension, and linear operations.

MATH 3325 – Foundations of Mathematics (3 credit hours). A general review of the development of the elementary branches of mathematics; study of the elementary logic, intermediate set theory, relations, functions, and countable number systems.

MATH 3336: Modern Abstract Algebra (3 credit hours). Study of the number system, rings, groups, field, matrix and linear transformations, systems of equations, other algebraic systems, and reducible polynomials. Prerequisite: MATH 2330 or MATH 3325

MATH 3365 – Modern Geometry (3 credit hours). Axiomatic methods, axiomatic systems, finite geometry; postulate of connection, distance, order relations, angles, triangles and polygons; parallels postulates, similarity, Pythagorean Theorem; area, lines and planes in space; circles, four-dimensional geometry, and plane hyperbolic geometry.

MATH 3404 – Multivariate Calculus {Formerly Multivariate Calculus, Vectors, Space Geometry} (4 credit hours). Vectors calculus, functions of several variables, partial differentiation, and multiple integrals. Prerequisite: MATH 2414.

MATH 4340 – Advanced Calculus (3 credit hours). Real numbers, limits and continuity of functions, the Riemann integral; uniform continuity and convergence; compactness, and improper integrals.

MATH 4350 – Probability (3 credit hours). A presentation of set theory, techniques of counting, introduction to probability; conditional and independent probability, random variables, binomial, normal and Poison distributions, and Markov chains.

MATH 4378 – Advanced Applied Mathematics (3 credit hours). Covers formulation, solution, and interpretation of various applied problems; mechanical vibrations, population dynamics, biomedical diagnosis; Markov chains, computer simulation, linear systems, parameter estimations; matrices, stability, eigenvalues, and numerical methods. Prerequisite: MATH 3305.

MATH 4460 – Research Seminar in Mathematics with Applications for Management, Life Sciences, Social Sciences, Education, Psychology, and Computer Science (4 credit hours). Topics to be researched are selected to meet the needs and interests of the student. Examples of topics are finance, trigonometric functions, psychological phenomenon, political situations, medical topics, ecological problems. Application of the basic principles of statistics and probability is made. Results of research must be presented before the faculty, peers, and other interested persons. Required of all mathematics majors. Prerequisite: MATH 1342.

*General Education Courses Offered by the Division