Log and lecture notes
The schedule for this the term year with all lecture videos, lecture notes, lecture problem sheets and solutions to problems not discussed in class.
The complete set of lecture notes.
| Day | What | Videos | Notes | Problems |
|---|---|---|---|---|
| Wed 20 Aug | Chap 9: rings, examples, some properties | Lecture 1 | ||
| Fri 22 Aug | Chap 9: more rings, examples, properties | Lecture 2 | Lecture 2 | Problems 2 |
| Wed 27 Aug | Chap 10: characteristic and algebras | Lecture 3 | Lecture 3 | Problems 3 |
| Fri 29 Aug | Chap 10: ideals | Lecture 4 | Lecture 4 | Problems 4 |
| Wed 3 Sep | Chap 10: factor rings, homomorphisms | Lecture 5 | Lecture 5 | Problems 5,Solutions 5 |
| Fri 5 Sep | Chap 10: fundamental theorem of hom and ideal correspondence | Lecture 6 | Lecture 6 | Problems 6,Solutions 6 |
| Wed 10 Sep | Chap 10: sums and products of ideals, nil, nilpotent and minimal ideals | Lecture 7 | Lecture 7 | Problems 7,Solutions 7 |
| Fri 12 Sep | Chap 11: maximal and prime ideals, Zorn's Lemma | Lecture 8 | Lecture 8 | Problems 8, Solutions 8 |
| Wed 17 Sep | Chap 11 & 14: UFDs, PIDs, Euclidean domains and modules | Lecture 9 | Lecture 9 | Problems 9, Solutions 9 |
| Fri 19 Sep | Chap 14: submodules, sums and direct sums | Lecture 10 | Lecture 10 | Problems 10, Solutions 10 |
| Wed 24 Sep | Chap 14: external direct sums, homomorphisms and factor modules | Lecture 11 | Lecture 11 | Problems 11, Solutions 11 |
| Fri 26 Sep | Chap 14: semisimple modules | Lecture 12 | Lecture 12 | Problems 12, Solutions 12 |
| Wed 1 Oct | Chap 14: free modules, Chap 19: noetherian modules and rings | Lecture 13 | Lecture 13 | Problems 13, Solutions 13 |
| Fri 3 Oct | Chap 19: noetherian and artinian modules and rings | Lecture 14 | Lecture 14 | Problems 14, Solutions 14 |
| Wed 8 Oct | Chap 19: Wedderburn-Artin structure theorem | Lecture 15 | Lecture 15 | Problems 15 |
| Fri 10 Oct | Chap 19/Chap 20: Maschkes Theorem and Smith normal form | Lecture 16 | Lecture 16 | Problems 16, Solutions 16 |
| Wed 15 Oct | Chap 20: Smith normal form | Lecture 17 | Lecture 17 | Problems 17, Solutions 17 |
| Fri 17 Oct | Chap 20/21: Smith normal form, row and column rank and modules over PID | Lecture 18 | Lecture 18 | Problems 18, Solutions 18 |
| Wed 22 Oct | Chap 21: Modules over PID and applications | Lecture 19 | Lecture 19 | Problems 19, Solutions 19 |
| Fri 24 Oct | Chap 21: Normal forms of matrices | Lecture 20 | Lecture 20 | Problems 20, Solutions 20 |
| Wed 29 Oct | Path algebras, representations and homomorphisms | Lecture 21 | Lecture 21 | Problems 21, Solutions 21 |
| Fri 31 Oct | Relations, sub- and factor representations | Lecture 22 | Lecture 22 | Problems 22, Solutions 22 |
| Wed 05 Nov | Modules of finite length | Lecture 23 | Lecture 23 | Problems 23, Solutions 23 |
| Fri 07 Nov | Finite length = artinian + noetherian | Lecture 24 | Lecture 24 | Problems 24, Solutions 24 |
| Wed 12 Nov | Reviewing theory and problem solving | Older exam problems, Exam problems 2004-2009 | ||
| Fri 14 Nov | Reviewing theory and problem solving | |||
| Wed 19 Nov | Reviewing theory and problem solving | |||
| Fri 21 Nov | Reviewing theory and problem solving |
Problems for the reviewing and problem solving sessions
| Day | Problems |
|---|---|
| Wed 12 Nov | Exam in MA321, 16.12.1988, Problem 4, Exam in MA321, 15.12.1989, Problem 5, Exam in MA321, 30.11.2005. Problem 1 (d) |
| Fri 14 Nov | Exam in MA321, 16.12.1988, Problem 4 (d) and (e), Exam in MA321, 15.12.1989, Problem 5, Exam in MA321, 30.11.2005. Problem 1 (d) |
| Wed 19 Nov | Exam in MA321, 13.06.1996, Problem 3 ( c ) and (d), Exam in MA321, 30.11.2005, Problem 4, Exam in MA321, 11.12.2009, Problem 3 and Problem 4. |
| Fri 21 Nov | Exam in MA321, 18.12.1986, Problem 2, Exam in MA321, 04.12.1993, Problem 1 (d), Exam in MA3201, 09.12.2004, Problem 3, Exam in MA3201, 15.12.2006, Problem 1 |