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Course Criteria
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3.00 Credits
Prerequisite: MTH 2210. Topics include matrices, vectors and vector spaces, and linear transformations.
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3.00 Credits
Prerequisite: MTH 1180 or MTH 1220. An introduction to the laws of probability, mathematical expectation, probabilistic model building, random variables, and probability distributions.
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3.00 Credits
Prerequisite: MTH 3210. A development of the mathematical basis for measures of central tendency and variation, sampling distributions, statistical inference, hypothesis testing, and decision theory.
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3.00 Credits
Prerequisite: MTH 2250 or CSC 2250. A continuation of the introduction to graph theory begun in MTH 2250. Topics include trees, planar graphs, Hamilton cycles, Euler tours, matchings, coverings, and colorings.
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3.00 Credits
Prerequisite: MTH 2250 or CSC 2250. A continuation of the introduction to combinatorics begun in MTH 2250. Topics include the principles of counting patterns by means of generating functions, recurrence relations, and Polya's Theory; the existence of patterns by means of the pigeonhole principle and its generalizations; and the optimization of patterns by means of the minimax principle.
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1.00 Credits
Prerequisite: Consent of instructor. Using a set topic that serves as the major's culminating experience, the student will take time to reflect on how all the expereinces encountered through the BELL Core - human, global, experimental, mesh with the specifics of your major. As part of this course, the student will be expected to reflect on and articulate views on what a 'meaningful life' might look like, and what it might entail in the 21st century.
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3.00 Credits
Prerequisite: 10 hours toward the major. An axiomatic approach to the study of elementary geometry. Euclidean geometry, non-Euclidean geometries, and finite geometries are examined.
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3.00 Credits
Prerequisite: 10 hours toward the major. A theoretical study of properties of the real numbers, functions, metric sets, limits, continuity, differentiation, and integration.
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3.00 Credits
Prerequisites: 10 hours toward the major. An overview of the historical development of elementary mathematics including arithmetic, geometry, algebra, trigonometry, and calculus. Biographical and historical content will be reinforced with studies of procedures and techniques of earlier mathematical cultures. Required for all students seeking to meet secondary licensing standards in mathematics. Gen. Ed. Designation: GS (G - Global Studies).
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3.00 Credits
Prerequisite: MTH 2260. Topics include sets, number theory, functions and mappings, rings, groups, and fields.
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