It has begun. This is my fifth year with the OU and this is the proper start of what would be third year if I was full time. This particular course has something of a reputation already in it's short life (this is the second presentation). It consolidates a number of previously independant courses into one 60 point - that's basically a whole year part time or half a year full time equivilant. The main topics covered are:
- Number Theory - congruence equations, quadratic reciprocity, prime number theorems
- Group Theory - Sylow theorems, classification, finite fields, introductory Galois Theory
- Rings & Fields - extensions, elliptic curves (& crypto)
- Metric Spaces & Topology
As this is probably the most complicated and deep module I've studied yet I'm attempting to actually take notes. I update the following as I work through the material. I recommmend having a look and bookmarking the resources over at Shirleen Stibbe's site, it's a great collection of additional material!