# Mathematics for Economics

The following topics treated in other Wikibooks prepare one for technical economics:

- Calculus, including the Chain rule, higher order derivatives, Taylor series, optimization, implicit differentiation, antiderivatives, integra formulas, improper integrals, Leibniz's rule, differential equations,
- Linear Algebra, including bases, linear subspaces, systems of linear equations, scalar products, hyperplanes, eigenvalues, quadratic forms, semidefinite matrices, dominant diagonal.
- Multivariable calculus, including open and closed sets, convex sets, level surfaces, gradients, tangent planes, chain rule, Taylor's theorem, convex and concave functions

- Nonlinear programming
- Comparative statics
- Implicit function theorem
- Method of Lagrange multiplier
- Envelope theorem
- Inequality constraint

- Path integral
- Path Independence

- Stability
- Local and global stability
- Linear system
- Lyapunov function

- Dynamic programming
- Finite horizon discrete-time problems
- Infinite horizon
- Stochastic dynamic programming