Honoré Daumier, A Panic at the Stock Exchange, 1845

Stéphane Dupraz

Banque de France
Monetary and Financial Studies Division
31, rue Croix des Petits-Champs
75049 Paris cedex 01

Phone: (+33)-1-42-92-64-24
Email: stephane.dupraz@banque-france.fr


In summer 2014 and 2015, I taught the math camp for incoming students to the econ PhD program at Columbia. I wrote the following lecture notes, which cover much of the mathematical tools needed in economics. If you are starting an econ or econ-related program and want to brush up on your math, feel free to use them (also: congratulations on your admission!). Associated problem sets and their solutions are available on the 2014 and 2015 math camp websites.

Basic Set Theory
Proving Things

1. Linear Algebra
2. Analysis
3. Multivariate Calculus
4. Convexity
5. Static Optimization
6. Loglinearization
7. Correspondences
8. Measure Theory


Teaching Assistant