# Economics 590: Introduction to Quantitative Economics, fall 2008

Instructor: Jeremy Sandford

Office hour: Tuesday, 4-5pm

Lecture: TH 9:30-11:45am, 314 B&E

Exam dates: Thursday, October 16th (in class), and Monday, December 15th from 10:30-12:30 (B&E 314)

syllabus, set notation appendix, notes on how to write proofs

Required course book: "A first course in optimization theory," by Rangarajan Sundaram

**Readings to date: Sundaram pages 1-65, chapters 2-8, 11-12**

# Schedule

**Monday, December 15**, Final Exam, 10:30am

Last year's final (updated 12/11)

**Thursday, December 11:** No class

**Tuesday, December 9:** contraction mapping theorem and its relation to dynamic programming problems

**Thursday, December 4:** existence of a value function and the contraction mapping theorem

**Tuesday, December 2:** more infinite-horizon dynamic programming

Homework 11, Answers

**Thursday, November 27:** No class

**Tuesday, November 25:** Begin infinite-horizon dynamic programming: guess and verify

**Thursday, November 20:** More practice with finite-horizon dynamic programming

**Tuesday, November 18:** More finite-horizon dynamic programming

Homework 10, answers

**Thursday, November 13:** Quasiconcavity and optimization, dynamic programming intro

**Tuesday, November 11:** Concavity, quasiconcavity, and optimization

Homework 9, Some answers

**Thursday, November 6:** Concavity and optimization

**Tuesday, November 4:** No class

Homework 8, answers

**Thursday, October 30:** inequality-constrained problems

**Tuesday, October 28:** Multiple equality constraints, inequality-constrained problems

Homework 7, Some answers

**Thursday, October 23:** Equality-constrained optimization, conditions for applying Lagrange multiplier method

**Tuesday, October 21:** Equality-constrained optimization, Lagrange multiplier method, examples

Homework 6

**Thursday, October 16:** **Midterm**, answers

**Tuesday, October 14:** Unconstrained optimization

**Thursday, October 9:** Unconstrained optimization, first and second order conditions, Weierstrass redux

**Tuesday, October 7:** Directional derivatives, derivatives of functions with codomain R^m

**Thursday, October 2:** Taylor's theorem, derivatives of functions on R^n

**Tuesday, September 30:** The derivative of real-valued functions

Homework 5, Answers

**Thursday, September 25:** limsup, liminf, limits of functions, continuity

**Tuesday, September 23:** Sequences

Homework 4, answers

**Thursday, September 18:** Weierstrass theorem (Sundaram, chapters 2 and 3)

**Tuesday, September 16:** Open and closed sets, finite, countable, and uncountable sets

Homework 3, answers

**Thursday, September 11:** Euclidean metric, open and closed sets

**Tuesday, September 9:** orders, metric spaces, the Euclidean metric

Homework 2, some answers

**Thursday, September 4:** functions and their properties

**Tuesday, September 2:** complements, convexity, functions

**Thursday, August 28:** Introduction, sets and their
properties

Homework 1, partial answers