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Mrs. Mary Salter, chairwoman As a student of Mathematical Science, you’ll be trained in mathematical operations while exploring the applied value of mathematics and the methods of mathematical analysis. You’ll be prepared for advanced work in this field or to enter the teaching field in conjuction with our secondary school teaching certification program. For nonmajors, the department offers courses in basic mathematical skills, which are required in nontechnical pursuits. Bachelor of Science Degree in Mathematical Science FRESHMAN YEAR
SOPHOMORE YEAR
JUNIOR YEAR
SENIOR YEAR
Mathematics Major Requirements Mth 161, 162, 261, 265, 305, 332, 401, 435, and 12 credits of upper-level mathematics courses; Csc 140, 141; Eng 290, 320. Mathematical Science Minor Csc 141; Mth 161-162; and 9 credit hours in 200-400 level mathematics courses. COURSES MTH 115 MATHEMATICS FOR ELEMENTARY TEACHERS I includes such topics as language of sets, introductory logic, basic algebra, and real number systems and its subsystems with related properties. This course is for Elementary Education majors only. (Communications Core) 3 credit hours MTH 116 MATHEMATICS FOR ELEMENTARY TEACHERS II includes topics in intermediate algebra such as functions and graphs, polynomials, factoring, quadratic equations, exponents, radicals, geometry, and probability. This course is for Elementary Education majors only. (Communications Core) Prerequisite: Mth 115 3 credit hours MTH 151 ELEMENTARY APPLIED ALGEBRA presents elementary algebraic concepts along with their applications. The applications are often used as motivation for studying certain algebraic topics. (Communications Core) 3 credit hours MTH 153 COLLEGE MATHEMATICS I is an introduction to mathematical topics and applications required by many college-level major programs. The material covered includes real number properties, essential topics from algebra, equations, inequalities, functions, systems of equations, and probability. (Communications Core) Prerequisite: One year of high school algebra or Mth 151 3 credit hours MTH 154 COLLEGE MATHEMATICS II is intended to follow Mth 153 with additional mathematical ideas and applications of the type required by various college-level majors. Topics covered include sequences, matrices, linear programing, necessary topics from advanced algebra, introduction to differential calculus, and applications. (Communications Core) Prerequisite: Mth 153 3 credit hours MTH 160 PRECALCULUS presents selected topics from algebra and elementary functions as preparation for studying calculus. (Communications Core) Prerequisite: Two years of high school mathematics including algebra and plane geometry or Mth 151 3 credit hours MTH 161 ANALYTIC GEOMETRY AND CALCULUS I studies inequalities, relations, functions, graphs, straight lines, limits and continuity, differentiation, and the definite integral. (Communications Core) Prerequisite: Three years of high school mathematics including two years of algebra or Mth 160 4 credit hours MTH 162 ANALYTIC GEOMETRY AND CALCULUS II studies conics, trigonometric and exponential functions, parametric equation and arc length, polar coordinates, infinite series, and methods of integration and applications. Prerequisite: Mth 161 4 credit hours MTH 220 DISCRETE MATHEMATICS surveys proof techniques, recursion, induction, modeling, and algorithmic thinking. Other topics covered include set theory, discrete number systems, combinatorics, graph theory, boolean algebra, and a variety of applications. Prerequisite: Mth 161 3 credit hours MTH 261 ANALYTIC GEOMETRY & CALCULUS III considers solid analytic geometry, vectors, partial differentiation, and multiple integration. Prerequisite: Mth 162 4 credit hours MTH 265 DIFFERENTIAL EQUATIONS presents ordinary differential equations and their applications with an emphasis on techniques of solution including numerical methods. Prerequisite: Mth 261 3 credit hours MTH 305 INTRODUCTION TO ABSTRACT ALGEBRA develops the structural concepts that characterize abstract algebra. Topics in this course will be selected from the following: elementary number theory, groups, rings, integral domain, fields, and vector spaces. Prerequisites: Mth 161-162 3 credit hours MTH 332 LINEAR ALGEBRA focuses on elementary matrix algebra, which has become an integral part of the mathematical background necessary for such diverse fields as electrical engineering, education, chemistry, and sociology, as well as for statistics and pure mathematics. After a treatment of the algebra of matrices, application of the theory is made to the solution of linear systems, concluding with an introduction to abstract vector spaces. Prerequisites: Mth 161-162 3 credit hours MTH 341-342 OPERATIONS RESEARCH I & II introduce mathematical solutions to a variety of problems in business, industry, and government. The first course concerns deterministic models, and the second course studies probabilistic models. Prerequisite: Mth 261 3 credit hours per semester MTH 391 ADVANCED CALCULUS FOR APPLICATIONS covers the topics of vector field theory, Fourier series, and partial differential equations. Prerequisite: Mth 265 3 credit hours MTH 401 MATHEMATICAL STATISTICS I introduces a statistical basis for decision making to the student of applied science in this modern tool of analysis. This will be accomplished by studies in probability theory for both discrete and continuous sample spaces and in an introduction to statistical inference. Prerequisites: Mth 161-162 3 credit hours MTH 402 MATHEMATICAL STATISTICS II is a continuation of Mth 401 covering additional concepts and techniques of statistics with an emphasis on problem-solving approaches. Prerequisite: Mth 401 3 credit hours MTH 408 INTRODUCTION TO FUNCTIONS OF A COMPLEX VARIABLE liberates the mathematician from the restrictions imposed by the domain of real numbers when the broader field of complex numbers is made available. Beginning with a study of complex numbers, this course introduces the algebra and the calculus of elementary functions. Prerequisite: Mth 261 3 credit hours MTH 410 INTRODUCTION TO HIGHER GEOMETRY inserts the student of mathematics into a world of geometric abstractions in which many of the tools of algebra and analysis are utilized. Topics will be selected from projective, non-euclidean, and algebraic geometry. Prerequisites: Mth 161-162 3 credit hours MTH 435 COORDINATING SEMINAR guides the student toward the frontiers of mathematical discovery in the enriching environment provided by independent research, culminating with the student-faculty seminar. 1 credit hour MTH 450 MATHEMATICS MODELING PRACTICUM attempts to give experience in the solution of problems in business, industry, and government. Identifying problems, formulating models of problems, and testing solutions are emphasized. The simulation of an actual work environment will be sought with all aspects of a group or team solution included. This course can be satisfied by the completion of an internship approved by the department. Arrangements for this internship should be finalized no later than the second semester of the junior year. Anyone wishing to take advantage of this option should contact the Department Chairman as soon as possible. Prerequisite: Junior standing 3 credit hours |
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