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ABSTRACT ALGEBRA
3 units
Pre-requisite: MA 101
This course is designed to explore the basic properties of algebra and generalizes them so that they may be applied to structures that are unfamiliar. In particular, the course will discussed the algebra structures called groups. Groups are mathematical structures that are important in many branches of pure mathematics including complex analysis, functional analysis, geometry and topology, as well as in many areas of applied mathematics. Studying groups gain experience in abstract reasoning, formulating and testing conjectures, proving theorems, and constructing counter examples. It includes introduction to the basic theory of another more structured type of algebraic object known as a ring.
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