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Abstract Algebra

Kimberly Brehm via YouTube

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Overview

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This introductory abstract algebra course develops foundational group theory concepts, including group definitions and proofs, dihedral groups, Cayley tables, isomorphisms, Cayley’s theorem, and automorphisms.

Syllabus

Abstract Algebra - 1.1 Symmetries of a Square.
Abstract Algebra - 1.2 Cayley Tables and an Introduction to Groups.
Abstract Algebra - 1.3 The Dihedral Groups.
Abstract Algebra - 2.1 Definition and Examples of Groups.
Abstract Algebra - 2.2 Proving a Group.
Abstract Algebra - 6.1 Definition and Understanding of Isomorphisms.
Abstract Algebra - 6.2 Examples and Non-Examples of Isomorphisms.
Abstract Algebra - 6.3 Cayley's Theorem.
Abstract Algebra - 6.4 Properties of Isomorphisms.
Abstract Algebra - 6.5 Automorphisms.

Taught by

Kimberly Brehm

Reviews

3.0 rating, based on 1 Class Central review

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  • Profile image for Umoren Ekwere
    Umoren Ekwere
    I must say it was truly outstanding. The content was presented in a clear and engaging manner, making complex concepts easily understandable. The course structure allowed for a gradual progression, building a solid foundation before delving into more advanced topics. The interactive exercises and quizzes were instrumental in reinforcing my understanding. The instructor demonstrated expertise and a genuine passion for teaching algebra, which enhanced the overall learning experience. I highly recommend this course to anyone seeking a comprehensive and enjoyable approach to mastering algebraic principles. It exceeded my expectations and left me feeling confident in my newfound skills.
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