MATH 4010 - Abstract Algebra II

Institution:

Utah Tech University

Subject:

Mathematics

Description:

Continuation of MATH 4000. This course is a continuation of Abstract Algebra I and focuses on a deeper understanding of algebraic structures. We will continue studying group theory, including group actions and the Sylow Theorems. Additionally, we will delve into ring theory, lattice structures and boolean algebras, and field theory. **COURSE LEARNING OUTCOMES (CLOs) At the successful conclusion of this course, students will be able to: 1. Learn advanced group theory topics including group actions and the Sylow theorems, and apply them to the study of algebraic structures. 2. Apply abstract algebra to real-world technologies such as circuits and error-correcting codes. 3. Construct and verify mathematical proofs, particularly those arising in abstract algebra. 4. Demonstrate an understanding of ring theory, including ideals, quotient rings, homomorphisms, isomorphisms, and polynomial rings. 5. Learn about finite fields, algebraic and transcendental extensions, and Galois theory; and explore their applications. Prerequisite: MATH 4000 (Grade C or higher). SP (odd)

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.utahtech.edu/

Phone Number:

(435) 652-7500

Regional Accreditation:

Northwest Commission on Colleges and Universities

Calendar System:

Semester

General Education

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