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