The goal of this course is to present many of the mathematical tools that you will typically encounter throughout your first year at the PhD program.
Keep in mind that this course should serve as a warm-up for the challenging first year that you'll have. We expect that, at the end of the Math Camp, students will be familiarized with the theory presented and will be able to apply it throughout the first year.
Finally, many of the topics we will cover will be presented in a “Cookbook” way, perhaps without the details a rigorous and formal student ideally would want. A more rigorous presentation of the topics we will expose will come shortly (ECON 2010).
You can download a PDF copy of the full syllabus here.
The topics covered are as follows: proofs and logic, functions, countability, metric spaces, introduction to topology, and limits. There's also a final section titled "Fun Remarks" with some fun math facts.