Wide range of content (all of it interesting!), but requires understanding and recalling results from every other analysis module ever (I'm talking Analysis 1 to Differentiation to Fourier Analysis to Measure Theory) which I did not have, so I struggled. I'd also say that because there's so much content, some of it is stated without proof or going into depth. Take that whichever way you want!
MA4A5 Algebraic Geometry
One of the most notoriously difficult modules on offer at Warwick, this took me as much time as my project and two other modules combined in term 1. Well worth the effort however, in my opinion the most interesting area of mathematics there is.
MA4E7 Population Dynamics
This module brings together lots of different modelling techniques which can be used to apply maths to real-world problems (no biology background is needed). The module starts with deterministic models (which overlaps a lot with MA3J3) and then looks at adding in stochasticity (usually Gaussian), age structure (PDEs) and spatial heterogeneity (distance kernels). Familiarity with the 2nd year Stochastic Processes module will be useful. The assignments (which aren't for credit) tend to be much harder than the exam and are full of mistakes. This module is definitely appropriate for 3rd year students who have taken modules covering aspects of continuous-time markov chains and fixed point analysis for a systems of ODEs.
MA4J3 Graph Theory
As a graph theory enthusiast, I really enjoyed this module. Graph Theory doesn't quite focus on the many properties and results that many mathematicians have proved throughout the years, but focuses more on developing your techniques into understanding and proving results. If you like a lot of bookwork and factual recall, this isn't the module for you. The lecturer likes to include many several mark questions which are heavily unseen content, even in the compulsory, which tests your ability to develop your own proofs. This isn't an easy module, and I would only recommend it if you take the time and effort to properly understand not just the content but the general ideas on how the proofs work.