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Course Criteria
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3.00 Credits
Prerequisite, MATH 111, or equivalent. The ring of integers. Divisibility. Prime numbers and factorization. Number-theoretic functions such as the Moebius function and the Euler function. Congruences, Moebius inversion, perfect numbers, diophantine equations, quadratic residues. (Offered alternative years.) 3 credits.
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6.00 Credits
(Offered as needed.) 1-6 credits.
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1.00 - 6.00 Credits
(Offered as needed.) 1-6 credits.
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3.00 Credits
Prerequisite, MATH 211. Students gain a solid foundation in ordinary differential equations and introduce applications of differential equations to the sciences. (Offered as needed.) 3 credits.
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3.00 Credits
Prerequisite, MATH 210. This course covers the fundamentals of probability theory. Topics include discrete and continuous probability models, conditional probability, random variables, probability distributions, multivariate distributions, functions of random variables, sampling distributions and the Central Limit Theorem. This course is a prerequisite for Mathematical Statistics. (Offered fall semester, alternate years.) 3 credits.
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3.00 Credits
Prerequisite, Math 360. This course covers standard inferential statistics and includes the theoretical basis for these procedures. Topics include a review of sampling distributions and the Central Limit Theorem, point and interval estimation, properties of estimation, hypothesis testing, linear models including multiple linear regression, experimental design, analysis of variance, analysis of categorical data, and non-parametric statistics. (Offered spring semester, alternate years.) 3 credits.
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3.00 Credits
(Offered as needed.) 3 credits.
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3.00 Credits
Prerequisite, MATH 250. A first course on algebraic structures, including semigroups, monoids and groups, with many examples, some basic concepts and results about these structures (subalgebras, homomorhpisms, Cayley's Theorem, Lagrange's Theorem, Isomorphism Theorems, Modular arithmetic) and applications to error-correcting codes and cryptography. (Offered alternate years.) 3 credits.
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3.00 Credits
Prerequisite, Math 210. Students will learn elements of elementary Differential Geometry. They will study the classification of curves and surfaces in the Euclidean Space, as well as enter the world of abstract surfaces. (Offered as needed.) 3 credits.
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6.00 Credits
(Offered as needed.) 0.5-6 credits.
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