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Applied and Pure mathematics with focus on modelling
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Sep19-10, 10:23 AM
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:
For the applied, I have gone for:
>Applied functional analysis (which is based on a PDE textbook)
>Continuous time stochastic processes
I still need to choose one of the following for pure mathematics:
>Set Theory and Topology
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!
Sep19-10, 12:31 PM
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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