The objective of this course is to acquaint students with the fundamental mathematical logic and tools for formal economic analysis (including both theoretical and empirical economics). This class consists of four parts. In the first, we will study basic notions from set theory. The second part will be devoted to univariate calculus and optimization. The third part will cover linear algebra. In the last part, we will learn techniques to solve multivariate optimization problems. Upon completion of the course, students are expected to know basic knowledge of calculus of functions of several variables, including calculating partial derivatives of explicit and implicit functions, solutions of problems of unconditional and conditional optimization, and methods for comparative static analysis. As a result, students will develop the problem-solving skills through a large number of examples and economic applications.