August 22 Announcement: Starting August 25, we will meet in RH 205.
August 27 Announcement: Starting August 27, we will meet in RH 213.
PART I: Language and Mathematics Review
August 18th Set
Readings: Lecture 1 (Section 1 and 2)
Additional Readings: [O] A.1, [D] 1.1, 1.2, [JR] A1.2
August 20th Logic
Readings: Supplement on Logic
Additional Readings: [JR] A1.1
August 25th Logic and Linearity
Readings: Supplement on Logic (on De Morgan Law, and contrapositive), Lecture 2 (Section 1.1, Section 2.1)
Additional Readings: [SB] Chapter 6,8,10,11; [O] Chapter F
August 27th Geometry and Convexity
Readings: Lecture 3 (Section 1.1,1.2, Section 2 before the start of Section 2.1)
Additional Readings: Supplement on Dot Product, [O] A.4, G, [K] Appendix 3, [SB] 21, [JR] A1.4
Mandatory Assignment A (Due on September 10, Optional Submission)
September 1st Linear Independence, Matrix Sign, Convexity, and Linear Programming
Readings: Lecture 2 (Section 1.2, 2.2), Section 3 (Section 2.1), Supplement on Dot Product and Linear Programming
Additional Readings: Section 2 (Section 1.3,1.4, 2.3) , [O] A.4, G, [K] Appendix 3, [SB] 21, [JR] A1.4S
September 3rd Multivariate Calculus
Readings: Lecture 5
Additional Readings: [JR] A2.1, [SB] Chapters 2-5, 14, 16, [JR] A2.2-A2.4, [SB] Chapters 17-19, [K] Appendix 5
Additional Reference:
For consumer and producer theory:
[K] David M. Kreps, Microeconomic Foundations I: Choice and Competitive Markets (Princeton University Press, 2013)
[OB] Osobrne, M. and Rubinstein, A., Models in Microeconomic Theory (Open Book Publishers, 2020)
[JR] Geoffrey A. Jehle and Philip J. Reny, Advanced Microeconomic Theory (3rd edition, Prentice Hall, 2011)
For mathematics:
[O] Efe OK, Real Analysis with Economic Applications (Princeton University Press, 2007)
[SB] Carl Simon and Lawrence Blume, Mathematics for Economists (Norton, 1994)
For general equilibrium theory:
[D] Gerard Debreu, Theory of value: An axiomatic analysis of economic equilibrium. (Yale University Press, 1959)
[B] Truman Bewley, General Equilibrium Theory, Overlapping Generations Models, and Optimal Growth Theory (Harvard University Press, 2010)