Mathematics for Economists I: Basics of linear algebra and calculus
The goal of this course is to help students master some basic mathematical tools that are used in micro- and macroeconomics, econometrics, applied economics and business applications. Its emphasis is put on developing students’ intuition for how and why the various mathematical techniques work, thereby preparing them for handling more advanced economic models. We will cover the following topics: matrices and determinants; vectors, their length and inner product; linear independence; limits, closed and open sets; functions of several variables and their derivatives; implicit functions; concave and convex functions (if time permits). A number of economic applications will be studied.