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Course Criteria
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4.00 Credits
Further applications of integration, transcendental functions, methods of integration, indeterminate forms and L’Hopital’s Rule, improper integrals, andinfinite series. Prerequisite: MATH 211.
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4.00 Credits
Plane curves, parametric equations and polar coordinates, vectors and vectorvalued functions, partial differentiation with applications, multiple integration with applications, and vector analysis. Prerequisite: MATH 212.
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4.00 Credits
An introduction to the concepts and applications of linear algebra with emphasis on employing graphing calculators and MAPLE as analytical tools. Topics include matrices and systems of equations, determinants, vector spaces, linear transformations, orthogonality, eigenvalues and eigenvectors, numerical linear algebra. Offered in the Spring of even-numbered years. Prerequisite: MATH 211.
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4.00 Credits
An introduction to the methods of solution of differential equations. Analytical, numerical, and graphical solutions will be studied. Emphasis will be on mathematical models using ODE's, with applications for a variety of fields of interest. Topics include first and second order linear ODE's, non-linear ODE's, the phase plane.Offered in the Spring of odd-numbered years. Prerequisites: MATH 212 and MATH 220.
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3.00 Credits
An introduction to topics encountered in advanced mathematics courses with emphasis on mathematical notation, reasoning, and methods of proof. Topics include logic, methods of proof, set theory, relations, functions, Boolean algebra, basic combinatorics, and elementary graph theory. Prerequisite: MATH 211.
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3.00 Credits
Axiomatic systems and finite geometries, finite projective planes, Euclidean and non-Euclidean geometries and their significance, and transformations of the Euclidean plane. Offered in the Fall of odd-numbered years. Prerequisite: MATH 150 or equivalent.
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3.00 Credits
Divisibility, prime numbers, linear congruences, continued fractions, Diophantine equations, perfect numbers, Pell's equation and public-key cryptography. Offered in the Fall of odd-numbered years. Prerequisite: MATH 211 and MATH 250.
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3.00 Credits
Topics include basic probability and counting principles, discrete and continuous random variables, expectation, probability distributions, joint distributions, and the central limit theorem. Emphasis on problem-solving. Offered in the Fall of oddnumbered years. Prerequisite: MATH 212.
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3.00 Credits
Graph Theory is a subject on the cutting edge of mathematics and has applications to such diverse subject areas as operations research, economics, chemistry, sociology, computer science, and genetics. This course will provide a thorough introduction to graph theory. Topics to be covered include: paths, cycles, trees, planar graphs, graph colorings, digraphs and applications to optimization problems.
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3.00 Credits
An introduction to the theory of groups, rings, and fields. Understanding and writing mathematical proofs will be emphasized. Topics include groups and subgroups, permutation groups, cyclic groups, homomorphisms and isomorphisms, factor groups, rings, fields and integral domains. Offered in the Fall of even-numbered years. Prerequisite: MATH 250.
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