Dec 26, 2024  
Course Catalog 2022-2023 
    
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Course Catalog 2022-2023 [ARCHIVED CATALOG]

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MATH 328 - Computational Algebra

FC NSMA QFR
4 credits
This course examines connections between the algebra and geometry of the set of solutions to a system of polynomial equations (called a variety) and the use of algorithms to effect concrete calculations. Topics studied include rings and ideals, Grobner bases, resultants and elimination theory, Hilbert’s Nullstellensatz, the correspondence between polynomial ideals and algebraic varieties, and applications of the methods to other areas of mathematics. There will be opportunities for computer experimentation and student projects.
Prerequisites & Notes: MATH 231 and MATH 232. MATH 220 is also highly recommended. Given in alternate years


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