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Applied and Pure mathematics with focus on modelling 
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#1
Sep1910, 10:23 AM

P: 9

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! 


#2
Sep1910, 12:31 PM

P: 3,243

The obvious answer is Nonlinear ODE if you into Applied Maths.
If you plan to procceed to a PHD degree in math (either pure or applied), I guess you could take a set theory or graph theory courses as extra classes. Best of luck, either way. 


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