# Teaching - F21

**Part I: ****Math ****Review**

**Lecture 1: ****Sets, Relations and Orders**** **

Write-ups: 8/9 (Section 2, Section 3), 8/11 (Section 2, Section 3), 8/16 (Section 2, Section 3)

Additional Readings: [O] A.1, [D] 1.1, 1.2, 1.4, [JR] A1.1, A1.2

**Lecture 2: ****Linear Algebra**

Write-ups: 8/16 (Section 2, Section 3), 8/18 (Section 2, Section 3), 8/23 (Section 2, Section 3)

Additional Readings: [SB] Chapter 6,8,10,11; [O] Chapter F

**Lecture 3: ****Convexity**

Write-ups: 8/23 (Section 2, Section 3), 8/25 (Section 2, Section 3)

Additional Readings: [O] A.4, G, [K] Appendix 3, [SB] 21, [JR] A1.4

**Assignment 1** (Due: 4 pm on August 30th)

**Lecture 4: ****Real Analysis**

Write-ups: 8/25 (Section 2, Section 3), 8/30 (Section 2, Section 3)

Additional Readings: [O] A.3-A.4, C.1, C.3, D, [K] Appendix 2, [D] 1.6-1.8

**Lecture 5: ****Differentiation**

Write-ups: 8/30 (Section 2, Section 3), 9/1 (Section 2, Section 3)

Additional Readings: [JR] A2.1, [SB] Chapters 2-5, 14, 16

**Lecture 6: ****Smooth Optimizations**

Write-ups: 9/1 (Section 2, Section 3), 9/6 (Section 2, Section 3), 9/8 (Section 2, Section 3)

Additional Readings: [JR] A2.2-A2.4, [SB] Chapters 17-19, [K] Appendix 5

**Assignment**** 2** (Due: 4 pm on September 13th)

**Part II: Choice and Uncertainty**

** ****Lecture ****7****: ****Preference and Utility Presentation**

Additional Readings: [D] 4.4-4.7, [JR] 1.2, [K] Ch 1 - 2, [OR] Ch 1,4

** ****Lecture ****8****: ****Choices and Revealed Preference**

Write-ups: 9/15 (Section 2, Section 3), 9/20 (Section 2, Section 3)

Additional Readings: [K] Ch 3 - 4, [OR] Ch 2, 5.5, [JR] 2.3

** ****Lecture ****9****: ****Uncertainty and Expected Utility**

Write-ups: 9/20 (Section 2, Section 3), 9/22 (Section 2, Section 3)

Additional Readings: [K] Ch 5, [JR] 2.4, [OR] 3.1-3.4, [O] H.1

** ****Lecture 1****0****: ****Attitude Towards Risks**

Write-ups:

Additional Readings: [JR] 2.4, [OR] 3.5

**Assignment 3** (Due: 11:59 pm on October 8th)

**Part III: ****General Equilibrium Theory**

**Lecture ****11****: ****Utility Maximization**

Write-ups:

Additional Readings: [D] Ch 2,4 [B] Ch 6 [JR] 1.1-1.3, 1.5 [K] Ch 3 [OR] 5.1-5.3

** ****Lecture 1****2****: ****Walrasian Economy**

Write-ups:

Additional Readings: [D] Ch 2,5, [B] Ch 2, 4.1-4.6

** ****Lecture 1****3****: ****Existence of Walrasian Equilibria**

Write-ups:

Additional Readings: [D] Ch 5, [B] Ch 4.7-4.9

**Lecture 1****4****:**** Efficiency of Walrasian Equilibria**

Write-ups:

Additional Readings: [D] Ch 6, [B] Ch 3, 5

**Lecture 1****5****: ****Core**

Write-ups:

Additional Readings: Debreu-Scarf (1963)

**Part I****V****: ****Topics**

**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 general equilibrium theory:

[D] Gerard Debreu,*Theory of value: An axiomatic analysis of economic equilibrium.*

[B] Truman Bewley,*General Equilibrium Theory, Overlapping Generations Models,**and Optimal**Growth Theor*y (Harvard University Press, 2010)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)