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Course Criteria
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3.00 - 4.00 Credits
Topics covered include predicate logic, algorithms, modular arithmetic, counting techniques, recurrence relations, graph theory, and trees. Prerequisite: MATH 2230 and 2310. This course is the same as CSCI 3500. Offered in alternate years.
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3.00 - 4.00 Credits
Solutions of nonlinear equations and systems of linear equations, error analysis, numerical integration and differentiation, solution of differential equations, interpolation, and approximation. Prerequisite: MATH 3540 and 3650, and CSCI 1010 or the equivalent. Offered occasionally.
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3.00 - 4.00 Credits
Prime numbers and their distribution, divisibility properties of the integers, Diophantine equations and their applications, theory of congruencies, Fermat's Theorem, quadratic reciprocity, and the historical back ground in which the subject evolved. Prerequisite: MATH 2310. Offered in alternate years.
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3.00 - 4.00 Credits
Systems of linear equations with emphasis on the Gauss-Jordan technique, determinants geometric vectors with applications to analytic geometry, physics, real finite dimensional vector spaces with applications through linear transformations, eigenvectors, eigenvalues, orthogonal diagonaliza- tion, and symmetric matrices. Prerequisite: MATH 2230.
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1.00 - 4.00 Credits
Research in special areas under the guidance of the instructor. Prerequisite: consent of the instructor.
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1.00 - 4.00 Credits
A study of an area of mathematics that is not covered in regular departmental offerings, or an extension of materials covered in regular departmental offerings. Prerequisite: consent of the instructor.
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1.00 - 4.00 Credits
Practical experience and training with selected research, or teaching mathematics. Credit/no credit grading only.
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3.00 - 4.00 Credits
Topics include sample spaces, discrete and continuous probability distributions, independence and conditional probability, properties of distributions of discrete and random variables, moment-generating functions, sampling distributions, and parameter estimation. Prerequisite: MATH 2240 and 2310. Offered in alternate years.
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3.00 - 4.00 Credits
A rigorous treatment of groups, rings, ideals, isomorphisms, homomorphisms, integral domains, and fields. Prerequisite: MATH 2310. Offered in alternate years.
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3.00 - 4.00 Credits
A rigorous treatment of limits, continuity, differentiation, integration, and convergence in n-dimensional Euclidean spaces. Prerequisite: MATH 2310 and 2240. Offered in alternate years.
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