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Course Criteria
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3.00 Credits
Using computer packages, study is made of advanced statistical topics, such as design of experiments, analysis of variance, and multiple regression. Students cannot receive credit for both Mathematics 445 and Management 249. 3 credit hours. Prerequisite: MATH 240 or 248 or 441. Offered as needed.
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3.00 Credits
The history of mathematical thought and the development of mathematics from ancient to modern times are studied. 3 credit hours. Prerequisite: MATH 300 or consent of instructor. Offered as needed.
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3.00 Credits
This course is open to students who have demonstrated superior ability in mathematics. Topics depend on the interests of the students and instructor. This course may be repeated for credit once with a change in content. 3 credit hours. Prerequisite: consent of department chair. Offered as needed.
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3.00 Credits
Fundamental concepts in the theory of calculus are presented. Topics include limits, continuity and uniform continuity, differentiation, the Riemann integral, sequences and series, and convergence criteria. 3 credit hours. Prerequisite: MATH 300 and 314. Offered as needed.
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3.00 Credits
Techniques and concepts of the algebra and calculus of functions of one complex variable are studied, including trigonometric, exponential, and logarithmic functions. 3 credit hours. Prerequisite: preceding or concurrent enrollment in MATH 314. Offered as needed.
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3.00 Credits
The foundations of set theory and logic are studied in the context of their application in the construction of number systems, from the natural numbers through the reals. 3 credit hours. Prerequisite: MATH 300, 314, 432, or consent of department chair. Offered as needed.
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3.00 Credits
Advanced topics in geometry are studied, such as foundations and axiom systems, finite and non-Euclidean geometries. Possible additional topics are projective geometry, convexity, and topology. Proofs are stressed. 3 credit hours. Prerequisite: MATH 300. Offered as needed.
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3.00 Credits
Study is made of sets and sequences, various topological spaces, including metric, compactness, connectedness, curves, and mappings. 3 credit hours. Prerequisite: MATH 300 and 314. Offered as needed.
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3.00 Credits
Selected topics in the development of groups, rings, modules, and fields are covered, including homomorphisms, permutation groups, basic Galois Theory, ring extension problems, and ideals. 3 credit hours. Prerequisite: MATH 300, 315, 432. Offered as needed.
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3.00 Credits
Varying topics in mathematical proof are examined, from number systems and functions to abstract spaces. 3 credit hours. Prerequisite: consent of department chair. Offered as needed.
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