| Math 200 | Fall 2009 |
This is a tentative schedule of lecture topics, exams and assignments. Assignments are due at the beginning of class.
The assignments and handouts are PDF files which may be viewed or printed with a recent version of the free Adobe Acrobat Reader.
This is a living document: the topics and assignments listed here are subject to change.
| Date | Topics | Text | Assignments |
| Tuesday 25 August | Introduction, notation; equivalence relations | 0.1 | Assignment 1 (due 1 September) |
| Thursday 27 August | The integers: divisibility, primes, gcd | 0.2 | |
| Tuesday 1 September | Congruence arithmetic | 0.3 | Assignment 2 (due 8 September) |
| Thursday 3 September | Groups, first examples | 1.1 | |
| Tuesday 8 September | More examples of groups | 1,2, 1.3 | Assignment 3 (due 15 September) |
| Thursday 10 September | Homomorphism and isomorphism | 1.4-1.6 | |
| Tuesday 15 September | Subgroups | 2.1 | Assignment 4 (due 22 September) |
| Thursday 17 September | Cosets and Lagrange | 3.1 | |
| Tuesday 22 September | Normal subgroups and quotient groups | 3.2 | Assignment 5 (due 1 October) |
| Thursday 24 September | Applications, groups of order pq | 3.3 | |
| Tuesday 29 September | |||
| Thursday 1 October | Assignment 6 (due 13 October) | ||
| Tuesday 6 October | Fall Break! | ||
| Thursday 8 October | Group actions | ||
| Tuesday 13 October | Sylow theorems | Assignment 7 (due 20 October) | |
| Thursday 15 October | Sylow theorems | ||
| Tuesday 20 October | Applications; groups of order 30 and 42 | ||
| Thursday 22 October | Rings | ||
| Tuesday 27 October | Examples | ||
| Thursday 29 October | More examples; ideals | Assignment 8 (due 5 November) | |
| Tuesday 3 November | Group rings and idempotents | ||
| Thursday 5 November | Ring homomorphisms, examples | Assignment 9 (due 12 November) | |
| Tuesday 10 November | Noetherian rings | ||
| Thursday 12 November | Unique factorization; modules | Assignment 10 (due 19 November) | |
| Tuesday 17 November | The F[x]-module associated to a matrix | ||
| Thursday 19 November | Classification of f.g modules over a PID;rational canonical form | Assignment 11 (due 24 November) | |
| Tuesday 24 November | Computing the rational canonical form from the presentation matrix | Assignment 12 (due 3 December) | |
| Thursday 26 November | Thanksgiving | ||
| Tuesday 1 December | Rational to Jordan canonical form | ||
| Thursday 3 December | Finding the Jordan form: generalized eigenspace |