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Mathematics & Modeling

Rigorous mathematics and applied modeling: learning to write proofs, turning real systems into models you can solve and test, and formulating optimization problems that solvers handle well.

Choosing within mathematics & modeling

Choose proofs and problem sets if your challenge is rigor: a first proof course, real analysis, algebra or discrete mathematics, where you need to learn techniques such as induction, contradiction and epsilon-delta arguments and get feedback on your own drafts.

Choose mathematical modeling and simulation when you need to represent a system with differential equations, stochastic processes, Monte Carlo methods or agent-based rules, and test how robust the results are. Choose optimization and operations research when the question is what the best decision is under constraints, solved with linear or mixed-integer programming in tools such as Gurobi, LINGO or Excel Solver.

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