Pages for the previous version of this course `Introduction to abstract algebra":
2017 Spring, 2016 Spring (WARNING : The syllabus has been altered - use at your risk)
Tutorial 1 Divisibility, GCD, Euclidean algorithm : Solving ax+by=d (Appendix : Set language and operations)
Tutorial 2 BIG Theorem (Ver 1), General Solution to ax+by=d, GCD and LCM via prime factorisation
Tutorial 3 Binary Operations (commutative & associative), Identities and inverses, Congruences (basic)
Tutorial 4 Introduction to Groups, the group Z_n, Z_n*, Dihedral groups (rotations and reflections)
Tutorial 5 On permutations and S_n, More on groups, Order of an element in Z_n, Z_n*, S_n and D_n
Tutorial 6 Subgroups : Examples and non-examples, New groups from Olds : intersections
Tutorial 7 Reviews on classical groups : Z_n, Z_n*, S_n and their properties
Tutorial 8 (Substituted by Kristina Kubiliute) Cyclic groups, Left cosets, Fermat's little theorem
Tutorial 9 (Substituted by Kristina Kubiliute) New groups from Olds : Direct products, Order divisibility lemma, Group homomorphisms
Tutorial 10 Reviews on orders, cyclic groups, homomorphisms of groups