Cracking on with TMA4
TMA3 away and making reasonable progress with TMA4.
I have also started looking at past exam papers for M381 and have realised I will need to commit a lot of stuff to memory as the handbooks which accompany the course during the exam seem pretty light.
I’m hoping to have TMA4 away by the end of March, leaving me around 10 weeks for revision.
I have “analysed” the question types by sifting past papers and, in the number theory section alone, the following seem a good bet:
Proof by induction
Some sort of GCD proof
Infinitely many primes of the form… blah… proof
Least positive residues
Some form of modular arithmetic proof
Fermat’s Little Theorem
Wilson’s Theorem – applications and proof
Sigma(n)/Euler’s phi function
Legendre symbol manipulation
Law of Quadratic Reciprocity
Some form of Diophantine equation-related proof
That’s just the number theory side.
The mathematical logic side looks equally long. I’ll detail that later, when I’ve completed it.
One long course, when both the number theory and mathematical logic aspects are combined, for just 30 undergrad credits.