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Some Notation: Set of All Functions, Set of All Subsets **

Vector Spaces, with S&B page numbers

Convexity; Concave and Convex Functions

Norms and Metrics, Normed Vector Spaces, and Metric Spaces

Limits of Functions in Euclidean Spaces

The Bolzano-Weierstrass Property and Compactness

Approximation and Taylor Polynomials

Second-Order Conditions and Quadratic Forms with Constraints

Derivatives and Maximization of Concave Functions

Differentiable Quasiconcave Functions

The Solution Function and Value Function for a Maximization Problem

Nonlinear Programming and the Kuhn-Tucker Conditions

Example: Linear Programming and the Kuhn-Tucker Conditions

Example: The Pareto Maximization Problem

Constrained Maximization vs. Constrained Minimization

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