Abstract Algebra
Offered By: Kimberly Brehm via YouTube
Course Description
Overview
Explore a comprehensive video playlist covering a typical first course in Abstract Algebra, following Joseph Gallian's Contemporary Abstract Algebra text, 9th edition. Delve into topics such as symmetries of a square, Cayley tables, introduction to groups, dihedral groups, group definitions and proofs, isomorphisms, Cayley's Theorem, and automorphisms. Download accompanying slide decks for enhanced learning. Gain a solid foundation in abstract algebraic concepts through this 2.5-hour educational resource.
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
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