Mathematics
A.Y. 2023/2024
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.
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.
Lesson period: First trimester
Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi
Single course
This course can be attended as a single course.
Course syllabus and organization
Single session
Responsible
Lesson period
First trimester
Course syllabus
1. Preliminaries
2. Functions
3. Limits and Continuity
4. Derivatives
5. Univariate Optimization
6. Integrals
7. Linear Systems
8. Matrices
9. Bivariate Optimization
10. Financial Mathematics
2. Functions
3. Limits and Continuity
4. Derivatives
5. Univariate Optimization
6. Integrals
7. Linear Systems
8. Matrices
9. Bivariate Optimization
10. Financial Mathematics
Prerequisites for admission
Resolutions of linear, quadratic, rational, exponential and logarithmic equations and inequalities
Teaching methods
Lectures with many exercises. Notes of each class will be made available online. Online platform with weekly test and extra material.
Teaching Resources
G. Puccetti, Matematica per il corso di Economia e Management; freely available at https://doi.org/10.54103/milanoup.112
Extra materials provided by the instructor.
Extra materials provided by the instructor.
Assessment methods and Criteria
The exam consists of 5 exercises to be delivered in 90 minutes.
Each exercise is focused on 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 10 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.
The exam will be delivered via the same platform used for the exercises,
exams from previous years and a mock exam will be provided, with the same score graduation as the final exam.
Each exercise is focused on 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 10 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.
The exam will be delivered via the same platform used for the exercises,
exams from previous years and a mock exam will be provided, with the same score graduation as the final exam.
SECS-S/06 - MATHEMATICAL METHODS OF ECONOMICS, FINANCE AND ACTUARIAL SCIENCES - University credits: 12
Lessons: 80 hours
Professor:
Puccetti Giovanni
Educational website(s)
Professor(s)