Algebra 2

Algebra 2

Tim Dokchitser, Spring 2018, official course page

Lecture times

Monday 13-14: Frank LT (Physics G44)
Thursday 14-15: Frank LT
Friday 15-16: Frank LT

Friday 13-14 (week 13,14,16,18,20): Feedback session, Enderby LT (Physics, B16/17)
Friday 11-12: Maths Cafe with Anna Young, Portacabin 3.

Office hour: Mondays 2-3pm (Howard House, Room 2.07, from Feb 19th)

Lecture notes

Full lecture notes (taken by Charles Lynch).
(If you discover any mistakes, please let me know and I will correct them; last edit 16.3.18)

Visualiser notes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29.
Revision R1, R2, R3, E1 (notes, boards), E2 (notes, boards), E3 (boards), E4 (boards).

The proof of last proposition of Lecture 16 (pp. 63-64 on visualiser slides), the proof of the first theorem of Lecture 17 (p. 65) and the proof of the Proposition on finding roots of Lecture 18 (p.69) are non-examinable, due to adverse weather conditions. You just need to know the statements.

Similarly, you do not need to know the proofs for which it is either (a) stated that you don't need to know them (those using axiom of choice, and the ones in the last section on ruler and compass constructions), or (b) those that are omitted in the lecture notes/lectures (like the proofs of the 2nd/3rd isomorphism theorems).

Exercises & assigned homework

There are 10 exercise sheets for this course. Each one contains one assigned question that has to be handed in on Thursday the week after the sheet is set (either after the Thursday lecture or in the Algebra 2 box) by 4pm. Your question will be marked, and the 10 set questions count towards the final grade. Late homework is not marked.

Exercise sheet 1 - Q7 assigned for Feb 1; solutions
Exercise sheet 2 - Q15 assigned for Feb 8; solutions
Exercise sheet 3 - Q21 assigned for Feb 15; solutions
Exercise sheet 4 - Q25 assigned for Feb 22; solutions
Exercise sheet 5 - Q34 assigned for Mar 1; solutions
Exercise sheet 6 - Q38 assigned for Mar 8; solutions
Exercise sheet 7 - Q46 assigned for Mar 15; solutions
Exercise sheet 8 - Q56 assigned for Mar 22; solutions
Exercise sheet 9 - Q60 assigned for Apr 19; solutions
Exercise sheet 10 - Q66 assigned for Apr 26; solutions

Past exam papers

2013, 2014, 2015R, 2016 + solutions, 2017.

Assessment

85% final examination, 15% homework. Good luck on the exam!