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MATH 404: NumberTheory
3.00 Credits
Shepherd University
An introductory course in number theory with emphasis on the classical theorems and problems. Prerequisite: MATH 307 or MATH 312.
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MATH 404 - NumberTheory
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MATH 405: TopicsinModernMathematics
3.00 Credits
Shepherd University
A course designed to acquaint the advanced student with certain topics outside the traditional course in mathematics. Prerequisite: Consent of instructor.
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MATH 405 - TopicsinModernMathematics
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MATH 409: IntroductiontoComplexVariables
3.00 Credits
Shepherd University
The course begins with the arithmetic of complex numbers, including powers, roots, and polar representation, with special emphasis on the geometric view. Several function classes are studied in the setting of the complex plane, especially linear, linear fractional, exponential, logarithmic, and trigonometric. Includes basic notions from calculus, particularly limits, continuity, and the derivative, are reexamined in the complex setting. Special attention is given to the properties of analytic functions,
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MATH 409 - IntroductiontoComplexVariables
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MATH 410: AdvancedCalculus
3.00 Credits
Shepherd University
A thorough examination of the fundamentals of elementary calculus and its extensions, with emphasis on interrelation with other areas of mathematics, and upon various applications. Prerequisites: MATH 309; MATH 307 or MATH 312.
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MATH 410 - AdvancedCalculus
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MATH 413: QuantitativeMethods
3.00 Credits
Shepherd University
See BADM 413 in Business Administration course listings.
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MATH 413 - QuantitativeMethods
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MATH 414: HistoryandDevelopmentofMathematics
3.00 Credits
Shepherd University
A capstone course requiring mathematical maturity. A survey of mathematical topics dating from ancient times, with emphasis on the development of numbers, algebra, theory of planetary motion, and non-Euclidean geometry. In preparation for a comprehensive test, a structured review of core mathematical ideas and techniques will be included. Prerequisites: MATH 208, (309 or 312), and permission of instructor.
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MATH 414 - HistoryandDevelopmentofMathematics
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MATH 415: IntroductiontoTopology
3.00 Credits
Shepherd University
Study of the properties of regions unaffected by continuous mappings. Includes consideration of open and closed sets, interior and boundary of a set, and neighborhood systems; motivation for concrete applications of the idea of a topological space and its separation properties. Other topics may include various applications of the notions of convergence and compactness. Prerequisites: MATH 207; MATH 307 or MATH 312.
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MATH 424: FoundationsofGeometry
3.00 Credits
Shepherd University
A careful axiomatic development of certain parts of elementary Euclidean and non-Euclidean geometry. The examination of the axiomatic method as an important pattern of thought. Prerequisite: MATH 207 or MATH 254.
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MATH 424 - FoundationsofGeometry
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MATH 430: IndependentStudy
1.00 - 3.00 Credits
Shepherd University
Under certain conditions, advanced students may be admitted to independent study in mathematics. See detailed requirements elsewhere in the Catalog.
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MATH 430 - IndependentStudy
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MATH 433: AppliedMathematics
3.00 Credits
Shepherd University
This course is a brief introduction to methods of solving PDE using Green's Functions, Fourier Series, etc., and advanced topics from Calculus III. Prerequisites: MATH 309 and MATH 310.
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MATH 433 - AppliedMathematics
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