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Course Criteria
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4.00 Credits
Groups, homomorphisms, rings, integral domains, ideals, polynomials and fields. Offered every spring. Prerequisite: MA2030 & MA3160
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4.00 Credits
Continuation of MA5120 and includes the Sylow Theorems, free groups, extension fields, Galois theory, finite fields. Offered as needed. Prerequisite: MA 5120.
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4.00 Credits
Review of set theory, probablility, random variables and some standard distributions. Focuses on estimation of parameters, confidence intervals, hypothesis testing, likelihood ration tests, sampling & distributions, one-sample and two-sample test. Offered as needed. Prerequisite: MA4200.
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4.00 Credits
An analytical study of topics from calculus. Topics will include limits, continuity, uniform continuity, differentiability, sequences and series of functions, uniform convergence, Taylor series, theory of integration, elemntary transcendental functions, vectors, functions of several variables, partial derivatives, and directional derivatives. Offered every fall. prerequisites: MA3160, MA3330.
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4.00 Credits
A continuation of MA5320. Topics will include differentiability of vector valued
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4.00 Credits
Theory of the Lebesque integral; outer measure, measure and measurable sets; simple functions and the space L1(m) of Lebesque integrable functions; theorems of Fatou and Lebesque; dominated ( and bounded) convergence theorems; Riemann-Stieltje's integrable; the Lp spaces; inequalities. Signed measure; the decomposition theorems of Hahn and Jordan. Offered as needed. Prerequisite: MA5320.
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4.00 Credits
Introduction to the theory of analytical functions of complex variables including such topics as complex arithmetic, power series expansion, conformal mapping, analytical functions, and residues. Offered as needed. Prerequisite: MA3330.
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4.00 Credits
A study of general topology, including such topics as topological spaces, metric spaces, continuity, connectedness, compactness, product and quotient spaces, homotopy, isotopy, fundamental groups. Offered as needed. Prerequisite: MA3330.
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2.00 - 4.00 Credits
Research project carried out under the supervision of a faculty member. Prerequisite: Permission of instructor.
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4.00 Credits
Selected topics in mathematics. Offered as needed Prerequisite: Permission of instructor.
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