| Time | Class content | Section covered | Remarks | R Jan 18 | Preliminaries | chapter 0 | T Jan 23 | Introduction to groups-1 | chapter 1-2 | R Jan 25 | Introduction to groups-2 | chapter 1-2 | T Jan 30 | Subgroups-1 | chapter 3 | R Feb 1 | Subgroups-2 | chapter 3 | T Feb 6 | Cyclic groups-1 | chapter 4 | R Feb 8 | Cyclic groups-2 | chapter 4 | T Feb 13 | Permuation groups-1 | Chapter 5 | R Feb 15 | Permutation groups-2 | Chapter 5 | T Feb 20 | Isomorphisms-1 | Chapter 6 | R Feb 22 | Isomorphisms-2 | Chapter 6 | T Feb 27 | Test 1 review | in class | Chapter 1-6 | R March 1 | Test 1 | in class | Chapter 1-6 | T Mar 6 | no class (Spring break) | R Mar 8 | no class (Spring break) | T Mar 13 | Cosets and Lagrange's Theorem-1 | Chapter 7 | R Mar 15 | Cosets and Lagrange's Theorem-2 | Chapter 7 | T Mar 20 | External Direct Products | Chapter 8 | R Mar 22 | Normal subgroups and Factor groups-1 | Chapter 9 | T Mar 27 | Normal subgroups and Factor groups-2 | Chapter 9 | R Mar 29 | Introduction to rings | Chapter 12 | T Apr 3 | Integral domains | Chapter 13 | R Apr 5 | Ideals and factor ring | Chapter 14 | T Apr 10 | Test 2 | in class | Chapter 7-9, 12-14 | R Apr 12 | Group homomorphism-1 | chapter 10 | T Apr 17 | Group homomorphism-2 | chapter 10 | R Apr 19 | Ring homomorphism | Chapter 15 | T Apr 24 | Fundamental Theorem of finite Abelian groups | Chapter 11 | R Apr 26 | Final Review | Thursday May 3 | Final Exam: 2-5pm Location: TBD | Chapter 0-15 | in class |