Mathematics

A.Y. 2020/2021
12
Max ECTS
80
Overall hours
SSD
SECS-S/06
Language
Italian
Learning objectives
The goal of the course is to provide elementary notions of calculus and to develop the proper technical language in order to attend more specialized quantitative courses such as "Statistica", "Statistica per le decisioni aziendali", "Statistica per i Big Data Economico/Aziendali" and "Econometria". The above described skills will be developed almost exclusively via a practical approach, that is, by solving exercises and applied problems.
Expected learning outcomes
At the end of the course, the student will possess an adequate mathematical terminology and learned the main quantitative tools related to the study of a real function such as the calculation of limits, differential analysis, integration theory, optimization of univariate and bivariate functions. In addition, the student will learn the fundamentals of linear algebra (linear system resolution, determinant and matrix inverse calculation) and some elements of Financial Mathematics.
In particular, the student will be able to approach a mathematical problem knowing how to write/communicate it in an elegant and concise way, recognizing its form and category, identifying and knowing how to communicate the best resolution strategy.
Course syllabus and organization

Single session

Responsible
Lesson period
First trimester
Of the four lessons scheduled, the first three can be followed either in the classroom (with a limited number of students) either synchronously or asynchronously as they will be recorded and left available to students.

The fourth lesson will be held exclusively on Microsoft Teams and can be followed either synchronously or asynchronously because it will be recorded and left available to students on the same platform.

Program and material:
The program and the material will not change.

Exam
The exam rules could be changed depending on the general faculty guidelines.
Prerequisites for admission
Resolutions of linear, quadratic, rational, exponential and logarithmic equations and inequalities
Assessment methods and Criteria
The exam consists of a written and an optional oral test.

The written exam consists of 5 exercises to be delivered in 90 minutes.
Each exercise concerns a different part of the program, so as to verify that the student has learned all the main calculation tools. Furthermore, the (relatively strict) time available encourages the student to find the best solution strategy for each exercise.

There are 9 weekly on-line intermediate tests (with a bonus on the final grade for those who pass them with a given % of correct answers) to incentivate students to study continuously during all the term, which is pivotal for the subjects treated.
Modulo 1
Course syllabus
1. Prerequisites
2. Natural Domain
3. Limits and Continuity
4. Derivatives
5. Applications of Derivatives
Teaching methods
Lectures with many exercises. Notes of each class will be made available online.
Teaching Resources
Customized book and extra materials provided by the instructor.

For updated extra materials see the course web-site at:
https://sites.google.com/site/giovannipuccetti/matematica
Modulo 2
Course syllabus
6. Linear Systems
7. Integrals
8. Multivariate optimization
9. Linear Algebra
10. Mathematical Finance
Teaching methods
Lectures with many exercises. Notes of each class will be made available online.
Teaching Resources
Customized book and extra materials provided by the instructor.

For updated extra materials see the course web-site at:
https://sites.google.com/site/giovannipuccetti/matematica
Modulo 1
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES - University credits: 6
Lessons: 40 hours
Modulo 2
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES - University credits: 6
Lessons: 40 hours
Educational website(s)