ECON703 – Mathematical Economics I (Ph.D. – Fall 2023 – TA)
Instructor: Prof. John Kennan
Handouts for Discussion Sessions:
– Handout 01 – General Information and Proofs
– Extra: The Lamp Game Proof
– Handout 02 – Suprema, Metric Spaces, and Sequences
– Handout 03 – Bolzano-Weierstrass, Completeness, and Contraction Mappings
– Handout 04 – Squeeze-Theorem, Lipschitz-Continuity, and Sequence Definition of Continuity
– Handout 05 – Vector Spaces, Norms, and Inner Products
– Handout 06 – Lattices, Convex Sets, and (Quasi-)Convex Functions
– Handout 07 – Graphs, Contour Sets, Differentiability, and Homogeneity
– Handout 08 – Monotone Comparative Statics and Differentiation Rules
– Handout 09 – Extrema and Kuhn-Tucker-Optimization
– Handout 10 – Linear Algebra, Integration, and Taylor-Approximation
– Handout 11 – Midterm, Cost-Functions, and Implicit Function Theorem