MATH 731 - Modern Algebra

(3 units)

Groups, fields, linear dependence, linear transformations, Galois theory.

Grading Basis: Graded
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).

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