# 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**