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MATH 443 Algebraic Structures with Programming For Majors

This course covers topics in both the linear and abstract algebra. Linear algebra topics of matrix operations, determinants, systems of linear equations, linear transformations, eigenvectors, and vector spaces are covered. Linear programming, solving matrices, and determinants with computer software, and graphing calculators are used to illustrate applications. Abstract Algebra topics including modular arithmetic, groups, isomorphisms, fields, rings, and integral domains are learned through the study of real numbers, integers, rational numbers, polynomials, and complex numbers. Prerequisite: MATH 165.