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## MATHEMATICS FOR ECONOMICS AND DATA SCIENCE

CODE 106835 2022/2023 15 cfu during the 1st year of 11267 ECONOMICS AND DATA SCIENCE (LM-56) - GENOVA SECS-S/06 GENOVA This unit is composed by: AULAWEB

## 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 goal of the course is to provide the quantitative tools and knowledge to address the other courses of the Master program

### AIMS AND LEARNING OUTCOMES

At the end of the course, the student will be able to deal, autonomously and properly, with the learned mathematical topics and apply them to economic problems with the needed methodological rigor.

Knowledge and understanding: The students must learn the main mathematcal techniques for the optmization and the description of dynamical systems.

Ability to apply knowledge and understanding: The students must be able to model and solve mathematical problems of static optimization and dynamical system in the field of social sciences.

Making judgments: The students must be able to use the acquired knowledge with an autonomous evaluating assessment.

Communication skills: Students must be able to use the correct technical language for the communication of the results and for the description of the techniques.

Learning skills: Students will develop adequate learning skills in order to continue with further studies about other aspects of the subject and different fields of application than those illustrated.

### PREREQUISITES

Calculus and optimization in one variable and basic notions of linear algebra.

### TEACHING METHODS

The course will be taught by frontal lectures.

### SYLLABUS/CONTENT

First module:

• Advanced topics in integration theory and applications to Economics
• Differential and difference equations in one variable and applications to Economics
• Calculus in several variables and optimization

Second module:

• Advandced topics in linear algebra
• Constrained optimization and applications to Economics
• Differentiable equations in two variables and applications to Economics

- Simon, C., Blume, L.: Mathematics for Economists (1994), Norton and Company

- Peccati, L., D'Amico, M., Cigola, M. : Maths for Social Sciences (2018), Springer

- Knut Sydsaeter, Peter Hammond, Atle Seierstad, Arne Strom, "Further mathematics for Economic Analysis" (2nd edition), Pearson

## TEACHERS AND EXAM BOARD

### Exam Board

SALVATORE FEDERICO (President)

MARIA LAURA TORRENTE (President Substitute)

## LESSONS

### LESSONS START

First semester: September 2022

Second semester, February 2023

### Class schedule

All class schedules are posted on the EasyAcademy portal.

## 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.

### Exam schedule

Date Time Location Type Notes

### 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.