The content of this course includes three parts:
The first part of the course covers some basic concepts of linear algebra used in most fields of applied science, including economics, finance, and management. Topics include matrix algebra, determinants, systems of linear equations, and their applications in economics such as input-output models.
In the second part, students will learn the fundamental concepts of integration for both single-variable and multivariable functions. In addition to presenting a system of mathematical concepts, the course will also cover and discuss various examples of economic applications of integration: marginal functions and elasticity, optimization problems (maximizing revenue, maximizing profit), etc.
The final part is dedicated to a brief introduction to the theory of ordinary differential equations and its applications. Students will learn how to solve first-order and second-order linear differential equations and use them to model various real-world problems (exponential growth models and logistic growth models).