Hi, I am in need of some expert advice please. I am enrolling for my honours degree in mathematics next year. I am trying to mix it up in order to have a strong foundation in pure mathematics with specialisation in applied mathematics. My interests are financial mathematics, probability and mathematical modelling. Below may seem a bit imbalanced on the pure vs. applied, but both measure theory and functional analysis will be covered in depth (two modules each). For the pure part I have chosen: >Measure Theory >Functional Analysis For the applied, I have gone for: >Applied functional analysis (which is based on a PDE textbook) >Optimization theory >Continuous time stochastic processes >Fluid mechanics I still need to choose one of the following for pure mathematics: >Graph Theory >Set Theory and Topology >Nonlinear ODE's So I guess the question is which would be a stronger choice to ensure a good foundation in pure mathematics with application to mathematical modelling. I can see the advantages of enrolling for set theory (much used in measure theory) but I am not sure what use topology would have from a mathematical modelling point of view. Perhaps someone has a different view entirely - any guidance would be much appreciated. Thanks in advance!