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Course Criteria
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3.00 Credits
Systems of linear equations, matrices, determinants, vector spaces, linear transformations and the eigenvalue problem. Prerequisite: MA 107. (U) (3 credits)
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3.00 Credits
Historical development of number systems, including contributions from Egypt, Greece, China, India and medieval to early modern Europe.? Topics may include arithmetic, algebra, theory of equations, geometry, trigonometry, number theory, combinatorics, probability, and the beginnings of calculus. Prerequisite: MA 107 and MA 205. (U-G) (3 credits)
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3.00 Credits
A course emphasizing the process of solving mathematical problems. Problems will be drawn from various sources. Students and faculty will meet weekly to exchange ideas and present solutions. Students may earn up to three credits by repeated registrations. Prerequisite: MA 107. (U-G) (1)
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3.00 Credits
Divisibility, the Euclidian algorithm, prime numbers, unique factorization, linear congruencies, the Chinese remainder theorem, and applications to public-key cryptography.? Additional topics may include primitive roots, quadratic residues, factoraization algorithms.? Diophantine equations, continued fractions, and the distribution of primes. Prerequisite: MA 205. (U-G) (3 credits)
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3.00 Credits
Relations and graphs, groups, subgroups, normal subgroups, homomorphism theorems, rings and?fields. Prerequisite: MA 200, MA205 and MA 215. (U-G) (3 credits)
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3.00 Credits
This course is a continuation?of MA 312. Topics include Euclidean rings, principal ideal domains, unique factorization domains, field extensions, and Galois theory. Prequisite: MA 312 (U) (3 credits)
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3.00 Credits
A rigorous study of the principles underlying real-variable calculus. Topics include limits, continuity, differentiation and Riemann integration. MA326 is normally offered as writing intensive. Prerequisites: MA 107, MA 200 and MA 205. (U-G) (3 credits)
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3.00 Credits
Continuation of MA 326. A variety of topics, such as sequences, series, uniform convergence, introduction to Lebesgue measure and integration, line and surface integrals. Prerequisite: MA 326. (U-G) (3 credits)
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3.00 Credits
Complex numbers, analytic functions, complex integration, Cauchy's Theorem, Taylor and Laurent series, contour integrals and the residue theorem. Prerequisite: MA 208. (U-G) (3 credits)
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3.00 Credits
Analytical, numerical and qualitative approaches to differential equations, including linear equations and systems, and nonlinear equations. Prerequisite: MA 107. (U-G) (3 credits)
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