January 17th Logic and Set
Readings: Lecture 1 (Section 1, 2.1), Supplement on Logic (Section 1.1 - 1.12)
January 31st Linear Structure
Readings: Supplement on Logic (Section 1.12), Lecture 2 (Section 1, 2.1), Lecture 3 (Section 1)
February 7th Convexity, Farkas' Lemma and No Arbitrage Theorem
Readings: Lecture 1 (Example 7), Lecture 3 (Section 2), Supplement on Farkas' Lemma
February 14th Set Topology and Differentiability
Readings: Lecture 4, Lecture 5 (Section 1)
February 21st Differentiability and Smooth Unconstrained Optimization
Readings: Lecture 1 (Section 3.6), Lecture 2 (Section 1.2), Lecture 5 (Section 2), Lecture 6 (Section 1)
February 28th Smooth Constrained Optimization
Readings: Lecture 6 (Section 2.1 - 2.2)
March 7th Maximum Theorem, Shadow Value of Money and Consumer's problem
Readings: Supplement on Maximum Theorem, Lecture 6 (Section 2.3), Lecture 7 (Section 1)
March 14th Utility Maximization
Readings: Lecture 7 (Section 2 -3)
March 28th Cost Minimization and Comparative Statics
Readings: Lecture 8, 9
April 11th Consumer Welfare, Production, and Binary Relation
Readings: Lecture 10, 11, 1 (Section 3)
April 18th Utility Representation and Matchings
Readings: Lecture 12, additional material on Matching
April 25th Revealed Preference
Readings: Lecture 13
May 2nd Uncertainty, Expected Utility, and Risk Attitude
Readings: Lecture 14 (Section 1, 2), Lecture 15
May 9th Axiomatization of expected utility
Readings: Lecture 14 (Section 3-7)
Final Exam: May 17-18