LPP vs Convex optimisation

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I am studying for my statistics exam and we have Linear Programming,Simplex and graphical method, Duality Programming and Integer Programming. I have a great interest in Convex optimisation and wanted to know if any of this knowledge would help me to understand that better. In that case I would go through this more throughly as right now it just seems we need to remember the simplex and dual procedures without much theoretical understanding