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Course Criteria
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3.00 Credits
This course provides prospective elementary education majors with a deeper and more comprehensive understanding of the fundamental concepts underlying the mathematics taught in grades K through 8. Guided by NCTM Principles and Standards, this course focuses on the big ideas of number theory, number and operations, and algebra. Offered every semester. This course fulfills an upper division elective requirement in mathematics for Elementary Education majors. Prerequisites: MA 105.
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3.00 Credits
Symbolic logic, sets and relations, algorithms, mathematical induction, counting techniques in combinatorics, recurrence relations, trees and other graphs, and other topics. Recommended for secondary mathematics education and computer and information science programs. Offered annually. Prerequisites: MA 110 or equivalent.
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4.00 Credits
Calculus of functions of several variables. Polar coordinates, parametric equations, vectors and vector calculus, plane and space curves, partial derivatives, directional derivatives and gradients, extreme values and second-partials test, double and triple integrals, cylindrical and spherical coordinates, and Green's and Stoke's theorems. Offered annually. Prerequisites: MA 211 or equivalent.
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3.00 Credits
Study of ordinary differential equations leading to solutions by series. Topics also include Laplace transformations and introduction to partial differential equations. Offered annually. Prerequisites: MA 211 or equivalent.
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3.00 Credits
Sample space, random variables, classical distributions, the central limit theorem, estimation, testing of hypotheses for parameters, the first and the second kinds of errors, correlations, regressions, and analysis of variance. Offered annually. Prerequisites: MA 110 or equivalent or placement.
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3.00 Credits
Matrices, elementary row operations, vector spaces, linear transformations, determinants, applications to system of linear equations, bases and orthonormal bases, eigenvalues, and eigen vectors. Offered annually. Prerequisites: MA 110 or equivalent.
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3.00 Credits
Introduction to groups, rings, and fields. Offered alternate years. Prerequisites: MA 401 or consent of instructor; MA 301 is recommended but not required.
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3.00 Credits
Theories on the real number system, limits, continuity, properties of continuous functions, theory of differentiation and integration, and infinite series. Restricted to one variable. Offered alternate years, according to demand. Prerequisite: MA 311, or consent of instructor.
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3.00 Credits
Introduction to point-set topology. Topics include neighborhoods, open and closed sets, compactness, connectedness, separability conditions, metrizable spaces, complete spaces, mapping, continuity of mappings, and homeomorphisms. Not regularly offered. Prerequisite: MA 411 or consent of instructor.
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1.00 - 3.00 Credits
Selected topics in mathematics to prepare students for graduate study or careers. May be repeated for credit. May include: Geometry, Combinatorial Mathematics, Complex Variable, Fields and Galois Theory, Graph Theory, Mathematical Logic, Mathematical Modeling, Numerical Analysis, Probability and Statistics, Real Analysis, Topology, Transform Methods.
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