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Dec 14, 2025
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University General Course Catalog 2018-2019 ARCHIVED CATALOG: LINKS AND CONTENT ARE OUT OF DATE. CHECK WITH YOUR ADVISOR.
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MATH 731 - Modern Algebra (3 units)
Groups, fields, linear dependence, linear transformations, Galois theory.
Units of Lecture: 3
Offered: Every Fall - Odd Years
Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate an advanced level of competency in the theory of rings (ideals, factorization in commutative rings, localization, rings of polynomials and of power series).
2. demonstrate an advanced level of competency in the theory of modules (exact sequences, projective and injective modules, modules over principal ideal domains).
3. demonstrate an advanced level of competency in linear algebra (determinants, rational canonical form, Jordan canonical form, minimal and characteristic polynomials, eigenvalues and eigenvectors).
Click here for course scheduling information. | Check course textbook information
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