OVERVIEW

The aim of the course is to provide the student with the knowledge of advanced mathematical methods to successfully deal with economic models from a quantitative viewpoint.

AIMS AND CONTENT

LEARNING OUTCOMES

The course will provide the mathematical tools needed to successfully attend the other courses of the Master program. Specifically, the course will offer the student: i) a more in-depth study of linear algebra; ii) the tools to face both unconstrained and constrained optimization problems for functions of several variables; iii) basic knowledge and methods to analyze systems of differential equations. Further, the student will acquire the fundamental concepts of probability necessary to model uncertain events.

AIMS AND LEARNING OUTCOMES

At the end of the teaching unit, students will be able to handle, understand, and apply the mathematical tools learned. The expected learning outcomes are as follows.

• Knowledge and Understanding: Students must acquire adequate knowledge and effective understanding of the mathematical tools presented in the course.

• Ability to Apply Knowledge and Understanding: Students must be able to apply the acquired knowledge to understand and solve, from a mathematical perspective, relevant problems in the economic field.

• Independent Judgment: Students must be able to use the acquired knowledge both conceptually and operationally, with independent evaluation skills and ability in different applied contexts.

• Communication Skills: Students must acquire the technical language typical of the discipline to communicate clearly and unambiguously with both specialist and non-specialist audiences.

• Learning Skills: Students must develop adequate learning skills enabling them to continue using the assimilated mathematical tools, especially in future disciplines."

PREREQUISITES

The contents of the course of Mathematics for Economics and Data Sciences I.

TEACHING METHODS

The course is delivered through lectures and exercise sessions.

At the beginning of the course, students with certified disabilities, Specific Learning Disabilities (SLD), or special educational needs must contact both the instructor and the Departmental Disability Coordinator to agree upon teaching and examination arrangements that accommodate individual learning requirements while preserving the educational objectives of the course.

SYLLABUS/CONTENT

• Review of Integration Theory

• Ordinary Differential Equations (ODEs):

  • First-order separable ODEs

  • First-order linear ODEs

  • Equilibria and stability for autonomous first-order ODEs

  • Second-order linear ODEs with constant coefficients

  • First-order linear systems of ODEs

  • Stability for linear ODEs and systems

RECOMMENDED READING/BIBLIOGRAPHY

• Sydsaeter, K., Hammond, P., Seierstad, A., Strom, A.: Further Mathematics for Economic Analysis (2008), Pearson
• Simon, C., Blume, L.: Mathematics for Economists (1994), Norton and Company
• Peccati, L., D'Amico, M., Cigola, M. : Maths for Social Sciences (2018), Springer

TEACHERS AND EXAM BOARD

LESSONS

LESSONS START

Second semester, February 2026

Class schedule

The timetable for this course is available here: Portale EasyAcademy

EXAMS

EXAM DESCRIPTION

The exam will be written and will contain questions on the the theoretical and modeling features treated in the course as well as exercises.

ASSESSMENT METHODS

The exam will evaluate the understanding of the contents of the course with the goal of assessing the reached skill of applying the tools and the methods learned in an economic perspective

FURTHER INFORMATION

Other information will be provided during the course.

For non-attending students the same rules apply. 

Students with DSA certification ("specific learning disabilities"), disability or other special educational needs are advised to contact the teacher at the beginning of the course to agree on teaching and examination methods that, in compliance with the teaching objectives, take account of individual learning arrangements and provide appropriate compensatory tools.