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MATHEMATICS COURSES This course provides an introduction to modern statistics. Students will analyze and critically interpret real world data using information such as the U.S. Census, election results and health issues.This course emphasizes communication, use of technology and collaborative learning.Topics covered include descriptive statistics, inferential statistics and regression analysis. A specific graphing calculator is required. Prerequisite: MTH 100 or placement exemption Offered fall, and spring. MTH 115. TRIGONOMETRY 4 sh This course provides a study of algebraic, trigonometric, exponential and logarithmic functions and their behavior. Constructing, analyzing and describing mathematical models of everyday phenomena is emphasized. A specific graphing calculator is required. Prerequisite: MTH 100 or placement exemption. Offered fall. MTH 116. APPLIED CALCULUS 4 sh This introduction to linear systems and differential calculus emphasizes applications to problem solving in business and economics. Students gain enhanced ability to analyze a problem mathematically and study the following topics: functions, limits, derivatives and applications of derivatives. No credit for students with MTH 121 or its exemption. A specific graphing calculator is required. Prerequisite: MTH 100 or placement exemption. Offered fall, winter and spring. MTH 121. CALCULUS AND ANALYTIC GEOMETRY I 4 sh Students are introduced to analytic geometry, functions, limits and continuity, differentiation of algebraic functions with applications, the definite integral and the fundamental theorem of integral calculus. A specific graphing calculator is required. Prerequisite: MTH 115 or placement exemption. Offered fall and spring. MTH 210. MATHEMATICS FOR ELEMENTARY AND MIDDLE GRADES TEACHERS 4 sh This course is open only to students majoring in elementary education, special education or middle grades education with a concentration in mathematics.Topics include problem solving, numeration systems, set theory, rational and irrational numbers (concepts, operations, properties and algorithms), geometry, measurement and selected topics in probability and statistics. Prerequisite: General Studies mathematics requirement. Offered fall, winter and spring. MTH 221. CALCULUS AND ANALYTIC GEOMETRY II 4 sh Students explore applications of the definite integral, differentiation and integration of transcendental functions, techniques of integration, indeterminate forms, improper integrals, infinite sequences and series. A specific graphing calculator is required. Prerequisite: MTH 121. Offered fall and spring. MTH 231. MATHEMATICAL REASONING 4 sh This study of proof techniques and reasoning skills introduces the student to another side of mathematics, namely proof. The student's preceding courses (e.g., precalculus and calculus) usually focus on calculations.Topics include mathematical logic, sets, mathematical induction, combinatorics, relations and countability arguments. Approved for advanced-level designation. Prerequisite: MTH 121. Offered fall and spring. MTH 241. DISCRETE STRUCTURES 4 sh This course offers an intensive introduction to discrete mathematics as it is used in computing sciences.Topics include functions, relations, propositional and predicate logic, simple circuit logic, proof techniques and elementary and discrete probability. Prerequisite: MTH 116 or MTH 121. Offered spring. MTH 311. LINEAR ALGEBRA 4 sh This introductory course in linear algebra includes systems of linear equations, matrices, determinants, vector spaces, eigenvalues, eigenvectors, orthogonality and linear transformations. Proofs of the major theorems and a variety of applications are also covered. Prerequisites: MTH 221, 231. Offered fall and spring. MTH 312. ABSTRACT ALGEBRA 4 sh Students who have had an introduction to the rules of logic and proof construction are introduced to abstract algebra, including topics such as functions, groups (cyclic, permutation, normal and quotient), properties of groups, rings, fields, homomorphisms, isomorphisms, real and complex numbers and polynomials. Prerequisites: MTH 231, 311. Offered spring. MTH 321. CALCULUS AND ANALYTIC GEOMETRY III 4 sh This course provides a study of advanced techniques of differential and integral calculus, including plane curves and polar coordinates, three-dimensional analytic geometry including vectors, differentiation and integration of multivariable functions and applications. A specific graphing calculator is required. Prerequisite: MTH 221. MTH 331. MODERN GEOMETRY 4 sh This rigorous treatment of axiomatic foundations of Euclidean geometry through Hilbert's axioms includes the role and independence of the parallel postulate (revealed through models and neutral geometry), straightedge and compass constructions, historical and philosophical implications of the discovery of nonEuclidean geometry with an introduction to both hyperbolic and elliptic geometry. Prerequisite: MTH 231. Offered fall of odd-numbered years. MTH 341. PROBABILITY THEORY AND STATISTICS 4 sh Topics include axiomatic probability, counting principles, discrete and continuous random variables and their distributions, sampling distributions, central limit theorem, confidence intervals and hypothesis testing. Prerequisites: MTH 221 and 231. Offered fall of even-numbered years. MTH 351. THEORY OF COMPUTATION 4 sh (Same course as CSC 351. See CSC 351 for description.) MTH 361. SEMINAR I 2 sh This course prepares mathematics majors for Seminar II, the capstone seminar, by instruction and experience in library research and formal oral presentations on advanced mathematical topics selected by the instructor and students. Prerequisite: junior/ senior standing or permission of the mathematics department. Offered spring. MTH 371. SPECIAL TOPICS 2-4 sh Topics are selected to meet the needs and interests of students. MTH 415. NUMERICAL ANALYSIS 4 sh This introduction to numerical analysis includes floating point arithmetic, interpolation, approximation, numerical integration and differentiation, nonlinear equations and linear systems of equations. Prerequisites: CSC 130; MTH 311, 321; or permission of the instructor. (CSC 415 is the same as MTH 415.) Offered spring of even-numbered years. MTH 421. DIFFERENTIAL EQUATIONS 4 sh Topics in this in-depth study of methods of solution and applications of ordinary differential equations include first-order differential equations (linear and nonlinear), linear differential equations of higher order, mathematical models using second-order equations, systems of differential equations and numerical techniques including Euler, Improved Euler and the Runge-Kutta method. Computers or programmable calculators may be used. Prerequisite: MTH 321. Offered spring. MTH 425. ANALYSIS 4 sh This course provides an in-depth study of topics introduced in the three-course calculus sequence, including sequences and series, continuity and differentiation of functions of a single variable, the Riemann integral and the fundamental theorem of calculus. Prerequisites: MTH 312 and 321. Offered fall. MTH 461. SEMINAR II 2 sh In this capstone experience for senior mathematics majors, students conduct extensive research on a mathematical topic and formally present their work in writing and orally. Course requirements include a satisfactory score on the ETS major field achievement test. Prerequisites: MTH 361 and junior/senior standing or permission of the department. Offered fall. MTH 471. SPECIAL TOPICS 2-4 sh Topics are selected to meet the needs and interests of the students. MTH 481. INTERNSHIP IN MATHEMATICS 1-4 sh The internship provides advanced work experiences in some aspect of mathematical sciences and is offered on an individual basis when suitable opportunities can be arranged. Prerequisite: permission of the department. MTH 491. INDEPENDENT STUDY 1-4 sh Prerequisite: permission of the department. May be repeated with different topics for up to a total of eight semester hours. |
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