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MATH 266: Differential Equations
3.00 Credits
Vincennes University
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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MATH 266 - Differential Equations
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MATH 310: Statistics in Health Care Research
3.00 Credits
Vincennes University
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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MATH 310 - Statistics in Health Care Research
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MATH 311: Geometries
3.00 Credits
Vincennes University
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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MATH 311 - Geometries
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MATH 312: Probability and Statistics
3.00 Credits
Vincennes University
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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MATH 312 - Probability and Statistics
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MATH 321: Introduction to Abstract Mathematics
3.00 Credits
Vincennes University
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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MATH 321 - Introduction to Abstract Mathematics
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MATH 322: Introduction to Analysis
3.00 Credits
Vincennes University
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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MATH 322 - Introduction to Analysis
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MATH 411: Linear Algebra II
3.00 Credits
Vincennes University
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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MATH 411 - Linear Algebra II
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MATH 412: Abstract Algebra
3.00 Credits
Vincennes University
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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MATH 412 - Abstract Algebra
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MATH 422: Topics in Mathematics
3.00 Credits
Vincennes University
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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MATH 490: Capstone Experience, Mathematics Education
3.00 Credits
Vincennes University
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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MATH 490 - Capstone Experience, Mathematics Education
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