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Course Criteria
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3.00 Credits
Systems of linear equations, Gaussian elimination, and matrices; vectors in Euclidean space; linear mappings and matrix multiplication; vector spaces, linear independence, and bases; determinants; characteristic roots and vectors, Cayley-Hamilton theorem, and similar matrices; quadratic forms; spectral theory; multilinear functions.
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3.00 Credits
Systems of linear equations, Gaussian elimination, and matrices; vectors in Euclidean space; linear mappings and matrix multiplication; vector spaces, linear independence, and bases; determinants; characteristic roots and vectors, Cayley-Hamilton theorem, and similar matrices; quadratic forms; spectral theory; multilinear functions. Prerequisite: MATH 1412.
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3.00 Credits
Properties of integers, Euclidean algorithm, unique factorization, arithmetic functions, perfect numbers, linear and quadratic congruences, public-key encryption.
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3.00 Credits
Basic concepts of modern abstract algebra: groups, rings, and fields, with illustrations and applications, particularly in elementary number theory; some applications of the theory of fields to the theory of equations.
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3.00 Credits
Basic concepts of an algebraic system, a sub-system, a factor-system, an isomorphism and a homomorphism. Examples and initial results from the theory of groups, rings, and fields. The second semester will be devoted to advanced topics, including recent developments. Prerequisite: MATH 2105 or permission of the instructor.
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3.00 Credits
No course description available.
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0.00 - 3.00 Credits
No course description available.
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3.00 Credits
Application of probability theory to the classical parametric models: moment-generating functions, chi-square and t distributions, central limit theorem, sampling distributions, maximum likelihood and interval estimation, confidence intervals, hypothesis testing; nonparametric models; the Bayesian controversy. Examples from natural science and social and behavioral research. Prerequisite: MATH 2461.
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3.00 Credits
Ordinary differential equations, with applications to problems in physics and geometry; linear systems of equations.
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3.00 Credits
Solution of parabolic, hyperbolic and elliptic equations, initial and boundary value problems arising in physical situations such as heat conduction, wave propagation and gravitational potential, method of characteristics, separation of variables, Laplace and Fourier transforms. Prerequisites: MATH 1510, MATH 2601.
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