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Course Criteria
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2.00 Credits
Prerequisite: A grade of C or better in MTH 182. Multivariate calculus topics include three-dimensional analytic geometry, partial derivatives, and multiple integrals. Students who have passed MTH 281 may not register for MTH 283. A student who attempts to do so will be given a grade of W.
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2.00 Credits
Prerequisite: A grade of C or better in MTH 182. Matrix algebra, topics include matrices and systems of linear equations, determinants, inverses, eigenvalues and eigenvectors. Students who have passed MTH 288 may not register for MTH 284. A student who attempts to do so will be given a grade of W.
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4.00 Credits
Prerequisite: A grade of C or better in MTH 182. Topics include first-order differential equations, linear differential equations first order systems, Laplace transform techniques, and applications. Course also includes an introduction to the use of a computer algebra system, such as Maple or MATLAB.
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4.00 Credits
Prerequisite: A grade of C or better in MTH 182. Topics include systems of linear equations, matrices, determinants, vector spaces, linear transformations, eigenvalues, and eigenvectors. Only two of the four credits may be counted toward graduation by students who have passed MTH 284. Course also includes an introduction to the use of a computer algebra system, such as Maple or MATLAB.
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4.00 Credits
Prerequisite: A grade of C or better in at least one of the courses MTH 220, MTH 281, MTH 282, MTH 284, MTH 286, or MTH 288, or instructor permission. This course is an introduction to number theory and its applications. Topics covered include divisibility, greatest common divisor and Euclid’s algorithm, congruences the algebra of congruence classes, the theorems of Fermat and Euler, the Chinese Remainder Theorem, quadratic residues and primitive roots. Applications include cryptography, computer security, and coding theory.
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4.00 Credits
Prerequisites: MTH 284 or MTH 288, MTH 286, and a computer programming language. Course covers numerical methods for solving nonlinear equations, systems of linear equations, interpolation problems, integration problems, and differential equations.
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4.00 Credits
Prerequisites: MTH 182 and a 200-level mathematics course. Course covers issues of data collection, graphical and numerical summary techniques, basic probability, discrete random variables, continuous random variables, central limit theorem, confidence intervals, hypothesis testing of a proportion, hypothesis testing of a mean, 2 sample hypothesis testing, chi square testing, regression. Appropriate statistical software used extensively. MTH 323 counts toward the statistics minor; one course from MTH 323 or MTH 347 counts toward the mathematics minor, but not both.
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4.00 Credits
Prerequisite: Enrollment is restricted to students seeking middle childhood licensure with mathematics as one of their two areas of concentration or by permission of Mathematics Department chairperson. This course is an in-depth study of mathematical topics in middle school curricula in the area of numbers, patterns and operations. Topics include numeration concepts, concepts of measurement, study of rational and irrational numbers, proportionality, estimation and operations. No credit toward the mathematics major or minor.
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4.00 Credits
Prerequisite: Enrollment is restricted to students seeking middle childhood licensure with mathematics as one of their two areas of concentration or by permission of Mathematics Department chairperson. This course emphasizes on algebra as a powerful symbolic language for studying patterns, relations, and variation; for solving linear and quadratic equations and inequalities; and for modeling real life situations. Emphasis is placed on variables and functions in symbolic and graphical forms, especially linear, quadratic, exponential, logarithmic, and inverse functions. Goals include developing deep understandings of these topics as appropriate for middle school teachers. No credit toward the mathematics major or minor.
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4.00 Credits
Prerequisite: Enrollment is restricted to students seeking middle childhood licensure with mathematics as one of their two areas of concentration or by permission of Mathematics Department chairperson. This course is designed to increase the conceptual understanding of geometry for middle school teachers. Topics include dynamic geometry integrating use of computer software; basic geometry theorems and constructions; similarity, proportion, scaling, and geometric growth; tessellations; simple trigonometric relationships; van Hiele levels of geometric graphical representations; transformational geometry and analytic geometry. No credit toward the mathematics major or minor.
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