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Mathematics EducationProfessors Ezell, McShea; Lecturer Shepherd; Visiting Lecturer Roberts The aims of the department of mathematics are: (1) to give each student enrolled in the department an insight into the nature of mathematics and to acquaint students with some of its fundamental principles, (2) to offer the appropriate mathematical preparation to students pursuing a course of study for which certain mathematics courses are prerequisites, and (3) to provide training for those students whose major interest is mathematics, including those preparing to teach mathematics in secondary schools, those seeking industrial employment, and those planning to do graduate work in mathematics. REQUIREMENTS Mathematics Major: A major consists of 33 semester hours including MAT 151, 152,251, 252, and eighteen additional hours in courses numbered above 252, excluding MAT 316 and MAT 345. Mathematics majors are required to take three of the four seminar courses, MAT 109, 209, 309, and 409. MAT 109 is required, and the other two may be chosen from the remaining three. The specific program of study for each student is planned with the consultation and approval of the faculty advisor. Students may elect either the Bachelor of Science (B.S.) or Bachelor of Arts (B.A.) degree. Mathematics Minor: A minor consists of eighteen semester hours including MAT151, 152 and six semester hours numbered above 252. No course numbered below 131 is to be used in meeting the requirements for a minor in mathematics. Mathematics Major, Teacher Licensure: To be licensed to teach mathematics atthe secondary level, a student must meet the following requirements: 1) completion of all core curriculum requirements for the B.A. or B.S. degree, 2) completion of all professional requirements mandated by the State of Mississippi licensure standards, 3) completion of the requirements for a major in mathematics that includes MAT 335, 336 or 337, 341, 436, 441, and three hours of approved mathematics electives numbered above MAT 252. Students must be advised from the both the department of mathematics and the department of education. 111 COURSE DESCRIPTIONS FOR MATHEMATICS (MAT) No student will be allowed to enroll in a mathematics course numbered below MAT 131 after earning credit in a mathematics course numbered MAT 131 or above unless such a course is required by the program in which the student is enrolled. 100. Elementary Mathematics: (3 hours) A course that is designed to provide basic skillsin arithmetic, algebra, and geometry. Whole numbers, fractions, decimals, percentage problems, beginning algebra, formulas and measurement. The class meets five times a week. May not be used for core curriculum requirements. Grade: Pass/Fail. 109. Mathematics Seminar I: (1 hour) How to use graphing calculators or computerprograms to explore mathematics topics. 116. Fundamental Mathematics I: (3 hours) In this course special attention is given to thenature of mathematics as well as to the structure and properties of the real number system. Topics include logical reasoning, problem solving, the real number system and its subsystems: natural numbers, integers, and rational numbers. 121. Intermediate Algebra: (3 hours) A course that treats beginning and intermediatetopics in algebra including quadratic equations and systems of linear equations. Prerequisite: one unit of high school algebra. 131. College Algebra: (3 hours) Linear and quadratic equations, graphs of relations andfunctions, systems of equations, polynomial functions, logarithmic and exponential functions. Prerequisite: Two units of high school algebra or MAT 121. 132. Trigonometry: (3 hours) Trigonometric functions, applications, trigonometricidentities and equations, graphs, inverse trigonometric functions, and triangle solution. Prerequisite: Two units of high school algebra or MAT 121. 150. Precalculus: (3 hours) A modified study of polynomial, rational, exponential,logarithmic, trigonometric, and two-variable functions. Emphasis is on analyzing and graphing these functions using analytic methods as well as with the use of graphing calculators. Prerequisite: Two units of high school algebra and one unit of geometry or MAT 131 or permission of the instructor. 151. Calculus with Analytic Geometry I: (3 hours) Topics will include limits,derivatives and applications of derivatives. Prerequisite: MAT 150. 152. Calculus with Analytic Geometry II: (3 hours) Topics will include the definiteintegral, analytic geometry, and transcendental functions. Prerequisite: MAT 151 (trigonometry required as a prerequisite or corequisite). 209. Mathematics Seminar II: (1 hour) A sophomore level course, primarily formathematics majors or minors but open to all students. Sample topics: computer algebra systems, problem-solving. 220. Elementary Statistics: (3 hours) Frequency distributions, central tendency,dispersion, normal distribution, and sampling. Prerequisite: Two units of high school algebra, MAT 116 or MAT 121. 251. Calculus with Analytic Geometry III: (3 hours) Topics will include applications ofintegration, indeterminate forms, improper integrals, and infinite series. Prerequisite: MAT 152. 252. Calculus with Analytic Geometry IV: (3 hours) Topics include vectors, analyticgeometry in three dimensions, partial derivatives, and multiple integrals. Prerequisite: MAT 251. 309. Mathematics Seminar III: (1 hour) A junior level course for mathematics majors orminors. Sample topics: famous theorems, readings in mathematics. 316. Fundamental Mathematics II: (3 hours) Topics will include basic concepts ofgeometry, measurement, probability, and statistics, with an emphasis on reasoning, problem solving, and communication of mathematical ideas. Prerequisite: MAT 116. 335. Foundations of Mathematics: (3 hours) Logic, sets, relations, functions,denumerable sets, cardinal numbers, and ordered sets, with emphasis throughout on the nature and technique of mathematical proof. Prerequisite: MAT 152 and consent of instructor. 336. Probability: (3 hours) An introduction to probability with some statisticalapplications. Equally likely events, finite sample spaces, and random variables. Prerequisite: MAT 152. 337. Mathematical Statistics: (3 hours) A study of statistical theory and applicationswith emphasis on inferential statistics. Topics include confidence intervals, hypothesis testing, correlation and regression, analysis of variance, and simulation. Prerequisite: MAT 152. 338. Discrete Mathematics: (3 hours) Topics will include sets, mathematical induction,relations and functions, algorithms, difference equations, graphs, combinatorics, and Boolean algebra. Prerequisite: MAT 152. 341. Linear Algebra I: (3 hours) A first course in linear algebra. Systems of linearequations, matrices, determinants, vector inner product, vector cross product, and applications of linear algebra, with an introduction to vector spaces and linear transformations. Prerequisite: MAT 131 or MAT 150. 342. Linear Algebra II: (3 hours) A continuation of MAT 341. An in-depth study oflinear algebra topics and applications with emphasis on vector spaces, inner product spaces, linear transformations, eigenvectors, eigenvalues, and an introduction to numerical methods. Prerequisite: MAT 341. 345. Teaching Mathematics in the Secondary School: (3 hours) The study of methodsand problems related to teaching mathematics in secondary school. 353. Differential Equations: (3 hours) A first course in differential equations.Differential equations of the first order, applications, linear differential equations and series methods. Prerequisite: MAT 252. 409. Mathematics Seminar IV: (1 hour) A capstone course for mathematics majors. Acomprehensive overview of the mathematics curriculum with emphasis on a thorough knowledge of key concepts and an exploration of relationships between topics. 436. Geometry: (3 hours) Euclidean and non-Euclidean geometries with emphasis givento their logical development from basic assumptions. Prerequisite: MAT 151, and trigonometry. 441. Abstract Algebra: (3 hours) The algebraic structure of the rational, real, andcomplex numbers. Prerequisite: MAT 335 or permission of instructor. 451. Advanced Calculus: (3 hours) An intensive and detailed study of continuous anddifferentiable functions. Prerequisite: MAT 252. Offered on demand. 471. History and Philosophy of Mathematics: (3 hours) The origins, philosophy, andchronological development of the mathematical sciences with emphasis on mathematical concepts and their interrelations. Prerequisite: MAT 252 or permission of instructor. COURSE DESCRIPTIONS FOR PHYSICS (PHY) 101-102. General Physics: (4 hours each) A study of the fundamental principles ofmechanics and sound the first trimester; of heat, light, magnetism, and electricity, the second semester. Prerequisite: Mathematics 131, 132. Three hours lecture and three hours laboratory a week, both trimesters. 211-212. Engineering Physics: (4 hours each) A study of the principles of physics withcalculus designed especially for pre-engineering students. Prerequisite: Mathematics 151. Three hours lecture and three hours laboratory a week, both trimesters. Offered on demand.
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