Quadratic Forms

  Limits of Functions in Euclidean Spaces

  Approximation and Taylor Polynomials

  Unconstrained Optimization

  Derivatives and Maximization of Concave Functions

  Second-Order Conditions and Quadratic Forms with Constraints

  Nonlinear Programming and the Kuhn-Tucker Conditions

  Example: Linear Programming and the Kuhn-Tucker Conditions

  Maximization vs. Minimization

  Differentiable Quasiconcave Functions

  The Solution Function and Value Function for a Maximization Problem

  Example: The Pareto Maximization Problem

  The Implicit Function Theorem

  The Envelope Theorem

  The Basic Model of Demand Theory (introduction to Econ 501A)