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Course Catalog 2018-2019 
    
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Course Catalog 2018-2019 [ARCHIVED CATALOG]

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MATH 328 - Computational Algebra


Semester Offered: First Semester
Full Course
Credits: 4 credits
Attribute: 4NS, QFR

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.

Enrollment Limit: 32
Instructor: S. Colley

Prerequisites & Notes: MATH 231 and MATH 232. MATH 220 is also highly recommended. Note: Given in alternate years only.


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