MATH 3360

Applicable Algebra

Course Description

Course information provided by the Courses of Study 2021-2022.

Introduction to the concepts and methods of abstract algebra and number theory that are of interest in applications. Covers the basic theory of groups, rings and fields and their applications to such areas as public-key cryptography, error-correcting codes, parallel computing, and experimental designs. Applications include the RSA cryptosystem and use of finite fields to construct error-correcting codes and Latin squares. Topics include elementary number theory, Euclidean algorithm, prime factorization, congruences, theorems of Fermat and Euler, elementary group theory, Chinese remainder theorem, factorization in the ring of polynomials, and classification of finite fields.

When Offered Spring.

Prerequisites/Corequisites Prerequisite: MATH 2210, MATH 2230, MATH 2310, or MATH 2940.
Forbidden Overlaps Forbidden Overlap: due to an overlap in content, students will not receive credit for both MATH 3340 and MATH 3360.

Distribution Category (MQR-AS, SMR-AS)

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