This repository hosts course material for Math Camp 2019 for the MA program at Columbia. Lecture notes will be uploaded in due course. A more detailed syllabus has been uploaded above and can also be accessed at this link : https://github.com/vinayakiyer/Columbia-MA-Math-Camp-2019/blob/master/Syllabus.pdf

• Instructor : Vinayak Iyer
• Email : [email protected]
• Dates : Monday, August 12th - Thursday, August 29th
• Place and Time : 9:30 AM - 12 PM in Hamilton 717
• Office Hours : Thursday 12 - 1 in IAB 1006A
• Website : https://github.com/vinayakiyer/Columbia-MA-Math-Camp-2019
• Exam : MATH CAMP EXAM ON WEDNESDAY FROM 11:40 - 12:55

This course provides an overview of the mathematical concepts needed for the first year Master's sequence in economics; its goal is to prepare students for their first-year economics classes. Focus will be put on thinking about and writing proofs as well as problem solving. Problem sets will be assigned weekly and due on Mondays. Although these will be graded, no grade will be given for the class. There will be an exam covering the material from math camp during the first meeting of the Math Methods course.

Lecture notes/ slides will be available on the course website, and the material presented in the course will largely be self-contained. Students are expected to have taken courses in single-variable calculus, and some familiarity with concepts in probability and linear algebra will be assumed, although we will spend some time reviewing these topics.

Classes will meet every weekday from 9:30AM - 12PM, running from Monday, August 12th through Thursday, August 29th. The course room is Hamilton 717.

The material from this course will primarily pull from two reference texts:

1. Essential Mathematics for Economic Analysis (5th Edition) by Knut Sydsæter, Peter Hammond, Arne Strøm, and Andrés Carvajal
2. Further Mathematics for Economic Analysis (2nd Edition) by Knut Sydsæter, Peter Hammond, Atle Seierstad and Arne Strøm

1. Introduction to Set Theory
2. Real Analysis
3. Linear Algebra
4. Convexity
5. Multivariable Calculus and Optimization