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Course Criteria
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3.00 Credits
Common Course Number & Description Selected topics from ordinary differential equations including development and applications of first order, higher order linear and systems of linear equations, general solutions and solutions to initial-value problems using matrices. Additional topics may include Laplace transforms and power series solutions. PreRequisite: MATH-125 3 to 4 semester hours
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3.00 Credits
Common Course Number & Description An introduction to sets, numeration systems, arithmetic operations/algorithms, problem solving, and other topics. This course does not satisfy the mathematics general education requirement for any mathematics area requirements other than those for a degree in elementary education. PreRequisite: MATH-102 MATH-115 MATH-120 MATH-121 MATH-123 MATH-125 or MATH-281 3 semester hours
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3.00 Credits
Common Course Number & Description An introduction to geometry concepts, measurement, problem solving, probability, statistics, and other topics. This course does not satisfy the mathematics general education requirement for any mathematics area requirements other than those for a degree in elementary education. PreRequisite: MATH-102 MATH-115 MATH-120 MATH-121 MATH-123 MATH-125 MATH-281 or MATH-341 3 semester hours
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3.00 Credits
Common Course Number & Description In this course topics will be chose from: axiomatic systems, finite geometries, Euclidean plane geometry, transformational geometry, three dimensional geometry, and non-Euclidean geometries. PreRequisite: MATH-125 3 semester hours
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3.00 Credits
Common Course Number & Description This course is an introduction to numerical methods. Topics include elementary discussion of errors, polynomial interpolation, quadrature, non-linear equations, and systems of linear equations. The algorithmic approach and efficient use of the computer will be emphasized. PreRequisite: MATH-125 MIS-150 3 semester hours
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3.00 Credits
Common Course Number & Description Properties of integers, divisibility, primes, congruencies, Diophantine equations, quadratic residues, continued fractions and the distribution of primes. PreRequisite: MATH-125 3 semester hours
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3.00 Credits
Common Course Number & Description Introduction to the theory and applications of algebraic structures including groups, rings, and fields. PreRequisite: MATH-315 MATH-316 3 semester hours
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3.00 Credits
Common Course Number & Description This is a continuation of topics from MATH 413. PreRequisite: MATH-413 3 semester hours
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3.00 Credits
Unique Course This course provides an introduction to complex analysis including analytical functions. Topics include Cauchy-Riemnn equations, complex exponents, the natural log and its branches, contour integration, Cauchy integral formula, Morera's theorem, Liouville's theorem, series of complex functions, residue theory and conformal mapping. A study of functions, limits and continuity of functions of several variables, partial differentiation and line & surface integrals in this course.PreRequisite: MATH-425 3 semester hours
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3.00 Credits
Common Course Number & Description Properties of real numbers, sequences, and series of real numbers, limits of functions, uniform continuity, differentiation, sequences and series of functions, uniform convergence, and theories of integration. Extensions of R^n may be considered. PreRequisite: MATH-225 3 semester hours
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