MTH316 - Algebra

Schedule

Here is a course timetable showing exactly where we are in class. I will attempt to update it at least weekly, to give you an idea of the reading you need to do to prepare for class.

Week beginning	Chapter	Reading	Notes
01/23	Introductions Admin Discussion of Worksheet (in groups) 2. Groups	Prerequisites: Chapter 0,"Are you ready" sheet, Intro sheet. Read Chapters 1 and 2	First week of class.
01/30	3. Finite Groups and Subsets	Tuesday: Read Ch3 up to end of "Subgroup tests" Thursday: Read to end of Ch3
02/06	4. Cyclic Groups	Tuesday: Read to end of Theorem 4.1 and its corollaries. Thursday: No class	Class cancelled 02/09
02/13	4. Cyclic groups	Tuesday: Read up to end of Theorem 4.2 and its corollaries. Thursday: Read to end of Chapter 4.
02/20	5. Permutation Groups	Tuesday: Read Ch3 up to start of "Cycle Notation" Thursday: Read Ch5 up to Theorem 5.4.
02/27	5. Permutation Groups 6. Isomorphisms	Tuesday: Read Ch5 up to Table 5.1 Thursday: Read Ch6 up to Cayley's Theorem.
03/06	Midterm I 6. Isomorphisms	Tuesday: Revision Thursday: Read Ch6 up to Automorphisms
03/13	Spring Break	Tuesday: The Very Hungry Caterpillar Thursday: When is a group isomorphic to a proper subgroup?	Have a good one!
03/20	6. Isomorphisms 7. Cosets and Lagrange's Theorem	Tuesday: To the end of Ch6 Thursday: Read Ch7 up to Lagrange's Theorem
03/27	7. Cosets and Lagrange's Theorem 8. External Direct Products	Tuesday: Read to end of Ch7 Thursday: Read Ch8 up to Corollary 2 to Theorem 8.2
04/03	8. External Direct Products 9. Normal Subgroups and Factor Groups	Tuesday: Read to end of Ch8 Thursday: Read Ch9 up to section on Factor Groups