Weekly schedule
Week 1 Properties of the integers, modular arithmetics, introduction and first examples of groups
Week 2 Examples of groups and morphisms
Week 3 Subgroups, normal subgroups, normalizers
Week 4 Quotients, isomorphism theorems
Midterm 1
Week 5 Classifying groups, alternating groups
Week 6 Products, actions and semidirect products
Week 7 Basics of ring theory
Week 8 Examples, morphisms, ideals
Midterm 2
Week 9 Localization, the Chinese reminder theorem
Week 10 Euclidean domains, P.I.D's and U.F.D's
Week 11 Polynomial rings
Week 12 More on polynomial rings
Midterm 3
Week 13 Basics of linear algebra
Week 14 The basis theorem, fields
Week 15 Field extensions
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