First section

Linear Algebra

• Calculations with matrices
• Systems of linear equations and inverting matrices
• Inner product
• Transposition and quadratic forms

Second section

Functions with several variables

• Partial derivatives
• Implicit differentiation
• Optimization with several variables
• Optimization with constrains

Third section

Differential equations

• Linear equations with constant coefficients
• Second order ordinary and partial differential equations

The goal of this course is to teach students the mathematical skills they need in order to deal with basic and more advance problems of economics. The course provides an introduction to the mathematical concepts and methods used in economics and covers material from calculus, matrix algebra and optimization theory. Besides the theory, several applications are developed for many different branches of economics and finance.

Upon successful completion of the course students will be able to:
use the knowledge of mathematical analysis to create and use models on financial and investment issues. They will also be able to research and further deepen to applied mathematics in the economic sciences, as well as be able to apply mathematical results, and with the use of computers, to find solutions to economic and financial issues.

Autonomous work
Team work
Work in inter-scientific environment
Adjustment in new conditions

Writing exams (90%) that refers to the theoretical questions and exercises on the material developed in the class.

Homeworks (10%) that ask students to solve some related to the course exercises.

• “Mathematics for Economists: An Introductory Textbook”, M. Pemberton and N. Rau.
• “Maths for Economics”, G. Renshaw.