2009-10 Course DescriptionsMATH - Mathematics
Department of Mathematics (CAS)
MATH 109 Precalculus I (3-0-3), fall, spring. Properties, graphs, and applications of linear functions, quadratic functions, logarithmic functions, exponential functions. Prerequisite: meet one of the following - MATH SAT score of 500; MATH ACT score of 20; MATW 019; or COMPASS placement into MATH 109. May be taken only by students whose majors require precalculus mathematics or higher (animal science, biology, chemistry, computer science, environmental science, mathematics, physics, or engineering majors). A student may not receive credit for this course after receiving credit for MATH 124, 131, 185 or 186.
MATH 120 Quantitative Reasoning (3-0-3), fall, spring. Statistics and data analysis, mathematics of finance, probability, models including ratio, proportion, linear, exponential. Calculator intensive. Prerequisite: meet one of the following - MATH SAT score of 500; MATH ACT score of 20; or COMPASS placement into MATH 120. For non-science, non-business majors. Will satisfy University Core mathematics requirement.
MATH 123 Introduction to Probability and Statistics (3-0-3), fall, spring. Introductory survey of probability including discrete probability and common probability models. Includes techniques for describing, exploring and comparing data and basic estimation procedures. Prerequisite: meet one of the following - MATH SAT score of 500; MATH ACT score of 20; MATW 019; or COMPASS placement into MATH 123. Will satisfy University Core mathematics requirement.
MATH 124 Precalculus II (3-0-3), fall, spring. Rational, trigonometric, exponential, logarithmic, and inverse functions with emphasis on graphical techniques. Further topics may include analytic geometry, polar coordinates, mathematical induction, the binomial theorem, and sequences and series. Prerequisite: MATH 109 or COMPASS placement. A student may not receive credit for this course after receiving credit for MATH 185 or 186.
MATH 130 Finite Math for Applications (3-0-3), fall, spring. Fundamental concepts of mathematics applications for business, economics, and the social and behavioral sciences. Math of finance, sets, introduction to probability, functions and mathematical modeling. Prerequisite: meet one of the following - MATH SAT of 500; MATH ACT of 20; or COMPASS placement into MATH 130. For COBA, information technology, and agribusiness majors only. Will satisfy University Core mathematics requirement. Same as MATW 130.
MATH 131 Calculus for Application (3-0-3), spring. Introduction to differential and integral calculus of algebraic, exponential, and logarithmic functions. Emphasis on applications. Prerequisite: MATH 109, 130 or COMPASS placement. Not for MATH, MASC, or MATT majors. Credit will not be given for more than one of MATH 131 and MATH 185.
MATH 147 Fundamentals of Number and Arithmetic (3-0-3), fall, spring. Study and investigation of concepts related to numbers, number systems, and their properties; representations of operations; development of computational algorithms; patterns, relations, functions and algebraic reasoning as specified by national and state standards for teaching EC-4 mathematics. Prerequisite: MATH SAT score of 500; MATH ACT score of 20; MATW 019; or COMPASS placement into MATH 147. For IDSC, IDSP, and MATM majors only. Does not satisfy University Core mathematics requirements.
MATH 148 Concepts of Mathematics (3-0-3), fall, spring, summer. Study of concepts and principles of geometry and measurement, probability and statistics and their applications as specified by national and state standards for teaching EC-4 mathematics. Prerequisite: grade of "C" or better in MATH 147. For IDSC and IDSP majors only. Will satisfy University Core mathematics requirement.
MATH 185 Calculus I (3-0-3), fall, spring. Limits, differentiation and integration of elementary functions, applications to curve sketching, max/min problems, rates, and approximations. Units on exponential and logarithm functions, the trigonometric functions, and inverse trig functions. Prerequisite: MATH 124 or a satisfactory score on COMPASS placement exam. Will satisfy University Core mathematics requirement. Credit will not be given for more than one of MATH 131 and MATH 185.
MATH 186 Calculus II (3-0-3), fall, spring. Continuation of MATH 185. Techniques for finding antiderivatives, applications of integration including volumes of solids of revolution, arc length, and center of mass. Sequences, infinite series, and polynomial approximation. Prerequisite: MATH 185.
MATH 187 Calculus Computer Laboratory (0-2-1), fall, spring. Introduces students to a computer algebra system and its use in studying calculus. Prerequisite: MATH 131 or MATH 185.
MATH 227 Discrete Mathematics (3-0-3), fall, spring. Elementary set theory, logic, combinatorics, relations, and applications. Prerequisite: CS 115 or MATH 185.
MATH 247 Number Concepts of Middle School Mathematics (3-0-3), fall. Number systems, properties, and concepts involving operations, modeling of computational algorithms (integers, fractions, and decimals), number theory, proportionality, algebraic thinking, and mathematical processes (problem solving) as specified by national and state standards for teaching grades 4-8 mathematics. Prerequisites: MATH 147 and one of MATH 124, 131, 148. For IDSP and MATM majors only.
MATH 248 Foundations of Middle School Mathematics (3-0-3), spring. Sets, logic, number theory, algebraic structure, mathematical processes (logical reasoning and mathematical proof) as specified by national and state standards for teaching grades 4-8 mathematics. Prerequisite: MATH 131 or 185. For MATM majors only.
MATH 286 Calculus III (3-0-3), fall. Calculus of several variables and elements of vector analysis, including partial derivatives and applications, multiple integrals and applications, gradient, line integrals, surface integrals, divergence and curl of vector functions, and vector integral theorems. Prerequisite: MATH 186.
MATH 287 Projects in Calculus (0-3-1), fall. Project laboratory consisting of calculus projects most of which will be done using a computer algebra system or other applicable software. Prerequisite: credit in, or concurrent enrollment in, MATH 286.
MATH 309 Algebraic Concepts for Teachers I (3-0-3), fall. Algebraic concepts associated with development of algebraic habits of mind, linearity, non-linear relationships, and mathematical processes (multiple representations, connections, communication) as specified by national and state standards for teaching grades 4-8 and 8-12 mathematics. Prerequisites: Either MATH 247 and MATH 248 or MATH 185 and MATH 227. For MATM and MATT majors only. Admission to Teacher Education Program required.
MATH 311 Geometric Concepts for Teachers I (3-0-3), spring. Euclidean geometry as an axiomatic system, its properties, geometric relationships, results, uses, and applications. Exploration and application of coordinate, transformational and vector geometry. Prerequisites: Either MATH 247 and 248 or MATH 185 and 227. For MATM and MATT majors only. Admission to Teacher Education Program required.
MATH 325 Linear Algebra (3-0-3), spring. Vectors, linear geometry of three dimensional space, vector spaces, linear systems of equations, linear transformations, matrix algebra, determinants, diagonal matrices, and eigenvalue problems, change of bases in a vector space. Gram-Schmidt process, and unitary matrices. Prerequisite: MATH 186.
MATH 334 Linear Programming (3-0-3), fall, even years. Linear programming models, simplex algorithm, duality theory, and sensitivity analysis. Applications to graphical networks, scheduling problems, dynamic programming, and game theory. Prerequisite: MATH 130 or 227.
MATH 341 Numerical Methods (3-0-3), fall, even years. Survey of elementary numerical methods used in scientific computing applications. Topics include computer representation of integer and real numbers, sequences, series approximations, finite differences, interpolation, curve fitting, numerical differentiation and integration, and roots of a single non-linear equation. Selected algorithms to be solved using the computer. Programming experience required. Prerequisite: MATH 186. Same as CS 341.
MATH 351 Abstract Algebra I (3-0-3), spring. Introduction to the abstract fundamentals of algebra. Topics include number theory, fields, polynomials over a field, and field extensions. Introduction to integral domains, rings, and groups. Prerequisites: MATH 227, 325.
MATH 361 Ordinary Differential Equations (3-0-3), spring. Population and predator-prey models; first order equations; systems of first order equations and equilibrium points; oscillations and second order equations; Laplace transforms. Prerequisite: MATH 186.
MATH 377 Statistical Methods I (3-0-3), fall. Measurement concepts and scales, populations versus samples, descriptive statistics, random variables and their properties, sampling processes and distributions, special probability distributions, confidence intervals on means and variances from samples, hypothesis tests, one-way analysis of variance, linear correlation and regression, estimation of proportions, and introduction to contingency tables. Prerequisite: MATH 131 or 185.
MATH 381 Analysis I (3-0-3), fall. A study of the fundamental concepts of calculus including real numbers, convergence, continuity, differentiation, and the integral. Prerequisites: MATH 227, 325.
MATH 397 Mathematics Seminar (2-0-2), spring. Students use mathematical literature, software and technology to improve their problem-solving, writing, and presentation skills. Results are presented in both written and oral form. Prerequisites: CS 115 and MATH 227 or 248.
MATH 410 Algebraic Concepts for Teachers II (3-0-3), spring. Algebraic concepts linked to geometry, algebraic habits of mind as seen in non-linear relationships (exponential and logarithmic), recursive thinking, applications of sequences and series, mathematical processes (multiple representations, connections, communication) and perspectives (historical and international) as specified by national and state standards for teaching grades 4-8 and 8-12 mathematics. Prerequisite: MATH 309. For MATM and MATT majors only. Admission to Teacher Education Program required.
MATH 412 Geometric Concepts for Teachers II (3-0-3), fall. Major geometric ideas, their historical development, their connections to grades 6-12, in-depth work with secondary topics of Euclidean geometry, non-Euclidean geometry, conic sections, taxicab geometry, and modeling. Heavy use of dynamic geometry software. Topics are as specified by national and state standards for teaching grades 4-8 and 8-12 mathematics. Prerequisite: MATH 311. For MATM and MATT majors only. Admission to Teacher Education Program required.
MATH 432 Introduction to Operations Research (3-0-3), spring, odd years. Mathematics applies to decision-making in business and other large scale operations, probability, queuing theory, inventory theory, Markov theory, and decision analysis. Prerequisite: MATH 334 or linear programming experience.
MATH 442 Numerical Analysis (3-0-3), spring, odd years. Solution of linear systems of equations by direct and iterative methods, matrix inversion, and evaluation of eigenvalues. Selected algorithms to be solved using the computer. Prerequisites: CS 341; MATH 325. Same as CS 442.
MATH 445 Theory of Interest (3-0-3), spring, even years. Annuity functions including present value and accumulated nominal and effective interest and discount rates and the force of interest; applications of interest theory. Prerequisite: MATH 186.
MATH 453 Abstract Algebra II (3-0-3), fall, even years. Topics include polynomials, vector spaces and modules, linear groups, field theory, the structure of the real and complex numbers. Prerequisites: MATH 325, 351.
MATH 477 Statistical Methods II (3-2-3), spring, even years. Experimental design and analysis of variance, multiple regression analysis, analysis of covariance, time-series analysis, nonparametric methods, and extended concepts of categorical data analysis, including logistic regression and log-linear models. Includes an introduction to contemporary statistical software. Laboratory graded and credited with course and contains lecture with software instruction. Prerequisite: MATH 377.
MATH 478 Mathematical Statistics (3-0-3), spring, odd years. Distributions of random variables and functions of random variables, conditional probability, stochastic independence, some special probability distributions, limiting distributions and estimation. Prerequisites: MATH 286, 377.
MATH 483 Analysis II (3-0-3), spring, even years. A theoretical discussion of the topology of the real numbers and of metric spaces with applications. Prerequisite: MATH 325, 381.
MATH 490 Topics in Mathematics (3-0-3).* Studies in topics of current interest. May be repeated for additional credit. Prerequisite: Consent of the instructor.
MATH 497 Mathematics Capstone (2-0-2), fall. Students explore the historical development of some of the basic concepts of modern mathematics; examine cultural, political, and religious issues; and explore important problems on which mathematicians have focused throughout history. Includes research and presentation of findings in both written and oral form. A writing-intensive course. Prerequisite: MATH 397.
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