Mathematics and Probability for Economics

This course provides essential mathematical knowledge on topics such as Linear Algebra, Constrained and Unconstrained Optimization, Linear Programming, and Probability. Its aim is to equip students with both theoretical foundations and practical insights, highlighting how mathematical results can be applied within an economic framework through real-world examples. The first part of the course introduces the fundamentals of linear algebra and calculus, which serve as the backbone for optimization theory. Building on this basis, the course addresses unconstrained and constrained optimization problems, including Lagrange multipliers and the Karush-Kuhn-Tucker (KKT) conditions. The final part of the course focuses on the fundamentals of probability, providing the necessary background for subsequent studies in statistics and microeconomics.

The course aims to provide students with Mathematicaltopics needed in economic framework. The main scope is to make student develop the ability to model the probelms at hand and employ the right mathematical tool to solve it.