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Course Criteria
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3.00 Credits
Probability random variables, special distributions, sampling distributions, estimation, hypothesis testing, correlation and regression, analysis of variance, nonparametric statistics. Prerequisites: MA 204 for MA 321; MA 321 for MA 322.
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3.00 Credits
Probability random variables, special distributions, sampling distributions, estimation, hypothesis testing, correlation and regression, analysis of variance, nonparametric statistics. Prerequisites: MA 204 for MA 321; MA 321 for MA 322.
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3.00 Credits
Approximation methods; numerical solutions to equations; approximation of functions of polynomials, orthogonal functions, numerical integration; elements of linear algebra; inversion of matrices, numerical solution of differential equations. Prerequisites: MA 204 and 253.
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3.00 Credits
Mathematical models in the social and life sciences, including deterministic, axiomatic, and probabilistic models. Examples include population change, stable and unstable arms races, Markov chains, and social choice. Prerequisites: MA 203 and 253.
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3.00 Credits
Historical introduction to geometry, Hilbert's axioms for Euclidean geometry, absolute geometry, the parallel postulate, Saccheri quadrilaterals, hyperbolic geometry, geometric models. Prerequisites: MA 203 and 253.
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3.00 Credits
Basic properties of the integers, congruences, numbertheoretic functions, quadratic reciprocity, the representation of numbers, Diophantine equations, primes. Prerequisites: MA 203 and 253.
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3.00 Credits
Real number system, functions, limits, continuity, derivative, L'Hospital's rule, Riemann integration,Taylor polynomial, sequences and series, improper integrals, Laplace transform. Prerequisites: MA 204; MA 351 for MA 352.
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3.00 Credits
Real number system, functions, limits, continuity, derivative, L'Hospital's rule, Riemann integration,Taylor polynomial, sequences and series, improper integrals, Laplace transform. Prerequisites: MA 204; MA 351 for MA 352.
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3.00 Credits
Rings, fields, integral domains, polynomial rings. Groups through quotient groups. Graph theory. Applications. Prerequisites are MA 204 and MA 253 for MA 353; MA 353 for MA 354.
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3.00 Credits
Rings, fields, integral domains, polynomial rings. Groups through quotient groups. Graph theory. Applications. Prerequisites are MA 204 and MA 253 for MA 353; MA 353 for MA 354.
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