MAT 450 - Abstract Algebra I

Institution:

DigiPen Institute of Technology

Subject:

Description:

Prerequisite(s): MAT 250 & MAT 258 This course provides an introduction to the foundations of abstract algebra. The fundamental objects of study are groups, rings, and fields. The student will build on previous courses in algebra, particularly linear algebra, with an even greater emphasis here on proofs. The study of groups is an ideal starting point, with few axioms but a rich landscape of examples and theorems, including matrix groups, homomorphism theorems, group actions, symmetry, and quotient groups. This course will extend these ideas to the study of rings and fields. Topics in ring theory include polynomial rings and ideals in rings. The course will also cover fields, their construction from rings, finite fields, basic theory of equations, and Galois theory.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.digipen.edu

Phone Number:

(425) 558-0299

Calendar System:

Semester

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