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
09/04	Welcome; Introductory worksheet.
09/11	2. Groups	Introductory Worksheet Chapters 0-2	Chapter 0 should be familiar, just read to check you know the material. Chapter 1 contains motivation; Chapter 2 is the true start of the material.
09/18	3. Finite Groups and Subgroups	Chapter 3
09/25	3. Subgroups	Chapter 3 (with emphasis on the latter part).
10/02	4. Cyclic Groups	Chapter 4
10/09	5. Permutation Groups	Chapter 5
10/16	6. Isomorphisms, Midterm I	Reread Chapters 1-4 for revision	Midterm I is on 10/19. Here is a review sheet.
10/23	6. Isomorphisms	Chapter 6
10/30	6. Isomorphisms 7. Cosets & Lagrange's Theorem	Chapter 6 from definition of autmorphism to the end; Chapter 7 up to Lagrange's Theorem.	When is a group isomorphic to a proper subgroup of itself?
11/06	7. Lagrange's Theorem 8. External Direct Products	Chapter 7 from Lagrange's Theorem to end (omit "Applications of Cosets..." onwards); Chapter 8.
11/13	8. External Direct Products 9. Normal Subgroups and Factor Groups	Ch 8 - Theorem 8.3 up to (not including) Applications; Chapter 9 up to (not including) "Applications of Factor Groups".
11/20	Midterm II	Revision	Happy Thanksgiving!
11/27	9. Factor Groups & Applications 10. Homomorphisms	Chapter 9 from Applications of Factor Groups, then Chapter 10 up to (not including) First Isomorphism Theorem