I was wondering whether the notes online are the complete set? I have noticed that towards the end there are certain chapters which do not have any notes e.g. Lecture 24, 25, 26. Is the content of those topics essential and if yes, then will there be material provided to cover those areas? ——————————————————– Yes. [...]
March 23, 2011 – 11:08 am
There will be revisions sessions for Math 3704 and Math M211 as follows: 3704 Wednesday, 20 April, 10:00-12:00 in Math 706 M211 Wednesday, 20 April, 14:00-16:00 in Math 706. Because of the many holidays towards the end of the month, it was hard to find any other days possible. I hope many of you can [...]
March 22, 2011 – 12:41 am
A question regarding the optional coursework, and my reply.
February 10, 2011 – 3:45 pm
There was a question about a classic exercise: Let be a cubic irreducible polynomial, which we take to be monic, and let be the roots. Let and . Clearly, , but the exercise is about the degree of . Fact: is 1 or 2. Proof: We have , so that we can divide by in [...]
February 1, 2011 – 10:50 am
I am asking a question about Sheet 2 Problem 9 (solutions are provided for up to 8). Why and are conjugates of ? I’ve managed to find minimal polynomial using DeMoivre’s Theorem and I’ve shown that , satisfy it (). But the question asks to do the opposite: show that they are conjugates and hence [...]
January 23, 2011 – 11:44 pm
There is one thing that you haven’t discussed in detail in the lectures is the computation of the inverse of any given nonzero element alpha in an algebraic number field. In question 2 of Exercise Sheet 2, where the number field is isomorphic to I managed to work out that the inverse of the element [...]
January 12, 2011 – 2:40 pm
I have just a couple of quick questions about the lecture yesterday. In the notes you have lectures 1 to 3, and are these the notes for the 3 hour lecture yesterday? ——————————————————– The material is more or less the same, but I am presenting the material in different order. Eventually, I will put up [...]
A number of students have expressed concern about an exam during the 3704 revision session tomorrow. For them, I will also have an extra office hour tomorrow from 5 to 6 pm in the 5th floor common room.
Because people haven’t been coming to my office hours, I thought I’d have the one on the coming Tuesday, 26 April, in the 5th floor common room. I’ll be there from 5 to 6.
There will be a revision session for algebraic number theory on Tuesday, 4 May, 2-4 pm in room 505. By this time, you should have read the notes several times and seriously attempted all practice questions.
