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Course Criteria
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3.00 Credits
Prerequisite: MATH 220 with a C or better grade. May be taken concurrently with MATH 265. An introduction to ordinary differential equations and their solution techniques. Topics include linear and nonlinear differential equations, algebraic solution methods, Laplace transforms, power series, and applications of differential equations. 3 lecture hours.
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3.00 Credits
Prerequisite: Junior level standing or consent of the instructor. This course introduces students to statistical methods that are used in business and economics as applied to health care. Students will learn to use graphical and numerical methods to summarize data sets, use probability in decision-making, simple linear regression, and inference procedures for one and two parameters. 3 lecture hours.
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3.00 Credits
Prerequisites: MATH 220 with a C or better grade; and junior level standing or consent of the instructor. Foundations of Euclidean and non-Euclidean geometry, metric and synthetic approaches. Incidence, betweenness, separation, congruence, transformation, similarity, and the role of the parallel postulate. 3 lecture hours.
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3.00 Credits
Prerequisites: MATH 220 with a C or better grade; and junior level standing or consent of the instructor. Probability sampling, statistical inference, graphical and numerical representation of data, correlation, regression and probability distributions, analysis of variance, and covariance. 3 lecture hours.
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3.00 Credits
Prerequisites: MATH 220 with a C or better grade; and junior level standing or consent of the instructor. Set theory, relations and functions, equivalence relations, cardinality, and other topics encountered in modern abstract mathematics. Enhancing the student's ability to read, write, and understand proofs will be emphasized. 3 lecture hours.
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3.00 Credits
Prerequisites: MATH 220 with a C or better grade; and junior level standing or consent of the instructor. The real number system as a complete ordered field, functions of a single real variable, continuity, differentiability, and uniform continuity. 3 lecture hours.
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3.00 Credits
Prerequisites: MATH 223 with a C or better grade; and senior level standing or consent of the instructor. Systems of linear equations, vector spaces, basic properties of matrices and determinants, linear transformations on a vector space, and eigenvectors and eigenvalues. 3 lecture hours.
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3.00 Credits
Prerequisites: MATH 411 with a C or better grade; and senior level standing or consent of the instructor. An introduction to the basic concepts of abstract algebra, including groups, rings, and fields. 3 lecture hours.
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3.00 Credits
Prerequisite: Senior level standing or consent of the instructor. Corequisite: MAED 421. Topics from various areas of mathematics which are not included in the regular undergraduate courses. 3 lecture hours.
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3.00 Credits
Prerequisite: Senior level standing or consent of the instructor. A course intended to synthesize and integrate the knowledge and skills of the major course work and the general and liberal education course work. Students will be required to complete a major research project aimed at addressing a philosophic, social, political, economic, or historical problem connected to Mathematics Education. Activities in the course will include a major research paper and an oral presentation based on significant research and project results. These activities will be opportunities for students to display the content knowledge, research skills, critical thinking, affective learning, and presentation skills needed to be life-long learners. 3 lecture hours.
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