# Mathematical optimization
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1. fundamentals
- maximum
- argument maximum
- optimization problem
- dependent varaible (DV)
- objective function (OF)
- constraint
- feasible set
2. Linear programming
- standard form LP
- slack & surplus variables
- feasible sets are convex sets
- feasible sets have finite extreme points
- feasible sets have optimal solution at an extreme point
- basic feasible solution (BFS)
- ratio test
- simplex method
- simplex method tableau
- canonical form simplex method tableau
- two phase simplex method
- big M method
- revized simplex method
- normal form LP
- dual LP
- primal LP
- duality operator is an involution
3. nonlinear optimization
4. integer optimization