Lecture notes for Econ 4111


Logic and Proof
Set Theory
Metric Spaces
Compactness
Compactness and Completeness in R^N
Compactness and Completeness in R^infinity
Continuity
Continuity and Connectedness
Connected Sets
The Rational and Real Numbers
Existence of Optima
Multivariate Differentiation
Finite Dimensional Optimization, Part I
Envelope Theorem
Finite Dimensional Optimization, Part II
Convexity
Definite Matrices
Concave and Convex Functions
Inverse Function Theorem
Implicit Function Theorem
Quasi-Concavity
Competitive Consumer Demand
The Law of Demand
Monotone Comparative Statics
Measure Theory Basics
What Tortoise Said to Achilles