This core MAS course aims to introduce group theory as an abstraction of planar isometries and structures that is essential for more advance algebra courses and applications. The axiomatic concepts serve as a language to study concrete examples in broader sense and helps in developing logical thinking.
Course Content
Planar isometry, symmetry of shape, group axiom, Cayley table, subgroup, quotient group, cyclic group, dihedral group, congruent modulo, permutation group, alternating subgroup, general linear group, group homomorphism, group isomorphism, coset, puzzle.
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With the module introducing fundamental ideas of abstract algebra, specifically focusing on groups and building up to them with isometries, the material is ultimately presented in an organized manner. With a lot of opportunities to practice the knowledge. The material itself is interesting and not very complicated, allowing a good workload management.
January 4, 2024
