Last modified on 24 November 2014, at 20:56

Mathematics for Economics

  1. univariable calculus
    1. Chain rule
    2. Higher order derivative
    3. Taylor series
    4. Optimization
    5. Implicit differentiation
    6. Antiderivative
    7. Basic formulas of Integral
    8. Improper integral
    9. Leibniz's rule
    10. Differential equation
  2. Linear Algebra
    1. Basics
    2. Linear subspace
    3. System of linear equations
    4. Scalar product
    5. Hyperplane
    6. Eigenvalue
      1. Quadratic forms
    7. Semidefinite matrix
    8. Dominant diagonal
  3. Basic analysis
    1. Closed set and Open set
    2. Compact set
    3. Convex set
    4. Separation theorem
  4. Correspondence
    1. Continuity of correspondence
    2. Maximum theorem
  5. Multivariable calculus
    1. Level surface
    2. Gradient
      1. tangent plane
    3. Chain rule
    4. Taylor's theorem
    5. Optimization
    6. Convex function
      1. Concave function
      2. Global solution
    7. Duality
    8. Homogeneous function
      1. Homothetic function
  6. Nonlinear programming
  7. Comparative statics
    1. Implicit function theorem
    2. Method of Lagrange multiplier
    3. Envelope theorem
    4. Inequality constraint
  8. Path integral
    1. Path Independence
  9. Stability
    1. Local and global stability
    2. Linear system
    3. Lyapunov function
  10. Dynamic programming
    1. Finite horizon discrete-time problems
    2. Infinite horizon
    3. Stochastic dynamic programming