Contribution of the course to the overall degree programme goals
The course will furnish fundamental of calculus with particular reference to statistical and economical data. To this purpuse, the items of functions and matrix calculus will be focused on economical applications like utility and production theory.
Expected learning outcomes
1. Knowledge and understanding:
1.1. understanding how the concept of function can represent economic phenomena and analyzing the relative properties, for istance, considering the link between price, demand and offer even in dynamic term
1.2. understanding how the linear algebra models are useful to represent multi dimensional quantities
1.3. comprehension of basic concepts of calculus, like monotonicity and optimality, to represent, model and optimize economical phenomena
2. Applying knowledge and understanding:
2.1. ability to use the concept of function and its properties
2.2. ability to model economic quantities with particual reference to the concept of istantaneous change and properties of incresing/decreasing
2.3. apply calculus tools to solve quantitative problems, in particular but not limited to, optimization problems
2.4 to know the main operations between matrices and the matrix representation of a linear system
3. Making judgements:
3.1. interpreting concepts like average and istantaneous variation
3.2. understanding calculus and linear algebra
3.3. reflecting on limits and capabilities of quantitative analysis
A preparatory course in mathematics (Additional Learning Requirements, OFA) is organized for the course Mathematics. This preparatory course provides prerequisites that are necessary to successfully take Mathematics.
The program of the whole course (12 cfu, 60 hours) is the following:
Single variable functions. Derivatives. Single variable optimization. Integrals. Interest rates and present values. Several variable functions. Optimization with several variables. Matrix algebra and linear equations systems.
Grading is based on a final written exam, based on two consecutive proofs. The first is formed by some questions with multiple answers, and its overcoming is necessary condition to be admitted to the second. The second proof consists on the solution of some exercices.
Lectures, room exercises, tutorials.
Detailed information and study materials on the e-learning page of the course.
Type of exam
Last update of the programme: 16/09/2021
If you close the banner, only essential cookies will be automatically activated
Ca' Foscari University of Venice, as part of its institutional aims and in fulfillment of the obligations set forth in article 13 of the EU Regulation 2016/679 ("Regulation"), gives you information regarding the processing of personal data collected by cookies and/or similar technologies when you visit the www.unive.it website (“Website”). Cookies are small pieces of information that a website sends to the user’s device where it is automatically stored and then sent back to the same website or to a third party every time that the website is visited using the same device.
In this notice, the term “cookie” will mean cookies as defined above as well as any other similar tracking technology used in the Website.
1. Data Controller
The data controller is Ca' Foscari University of Venice, with headquarters in Dorsoduro n. 3246, 30123 Venice (VE), legally represented by the Rector pro tempore.
2. Data Protection Officer
The University has appointed a "Data Protection Officer" ("DPO"), who can be contacted by writing to the email address: firstname.lastname@example.org or to the following address: Ca' Foscari University, Venice, Data Protection Officer, Dorsoduro n. 3246, 30123 Venice (VE).
3. Types of cookies, data collect, purposes and legal basis
The cookies used on the website are (please refer to the cookie list for specific information on each cookie):
essential cookies: cookies that are necessary to support the login system and the access to the “Personal Area” of the Website as well as to remember users’ cookie preferences.
Personal data associated with these cookie is: user’s IP address, date and time of the visit, means of data transfer, requested resource, response, response size in byte, link connected to the user requesting the resource, user’s operating system, browser and device used. The legal basis for this processing activity is represented by art. 6.1.b) (“performance of a service asked by the data subject”) and art. 6.1.e) of the Regulation (“execution of a task of public interest or connected to the exercise of public powers''). Being the University is a public body and it is required to have a website where the users can find useful information on its activities (artt. 53 e 54 D.lgs. n. 82/2005). You can disable these cookies at any time by clicking on the “click here to change your cookie preferences” button, this action will only have an effect on the navigation of the Personal Area.
analytics cookies: cookies that collect aggregated and statistical data on the navigation of the Website aimed at measuring the number of visits for each page of the Websites as well as the performance and the usability of the Website. The analytics cookies used on the Website are “Web Analytics Italia” set by the Agenzia per l’Italia Digitale (AGID). Personal data associated with these cookies is: user’s IP address, date and time of the visit, means of data transfer, requested resource, response, response size in byte, link connected to the user requesting the resource, user’s operating system, browser and device used, number of pages visited, ecc. The legal basis for this processing activity is represented by art. 6.1.e) of the Regulation (“execution of a task of public interest or connected to the exercise of public powers''), as the University aims at collecting statistical data on the visits of its Website pages especially with regards to the pages of “Amministrazione Trasparente”. You can disable these cookies at any time by clicking on the “click here to change your cookie preferences” button, this action will have no effect on your navigation.
third party cookies (social media and profiling): these cookies are set by third parties that collect the data in order to analyze the navigation and the preferences of the users. On the website, there are cookies set by Facebook called Facebook-Pixel, aimed at collecting data to target promotional content to specific users, and by Google namely Google-Youtube that allow users to watch Youtube videos on the Website and the University to measure the performance of its communication campaigns. These cookies are managed by Facebook and Google respectively and the University only processes anonymous and statistical information collected by them, who act as joint controllers on the basis of the CJEU ruling n. C-210/16 (5 June 2018). The legal basis for this processing activity is represented by art. 6.1.a) of the Regulation (“consent of the data subject''). The first time you land on the Website, a banner pops up asking whether you consent to enable these cookies. If you do not consent or withdraw consent at a later time through the “click here to change your cookie preferences” button, this will have no effect on your navigation.
You can always manage your cookie preferences through the browser setting. If you disable all cookies, please note that some activities on the website will not be possible anymore (i.e. the ones on the pages accessible in the Personal Area). To find out more on how to manage cookies through browser settings, please visit:
The processing of personal data will be carried out by authorized employees (in compliance with Article 29 of the Regulation and art. 2-quaterdecies of D. lgs. 196/2003), with the use of computerized procedures, adopting appropriate technical and organizational measures to protect them from unauthorized or illegal access, destruction, loss of integrity and confidentiality, even if accidental in nature.
5. Data retention
For information on the retention period of each cookie, please refer to the list below.
6. Recipients and categories of recipients of personal data and data transfer outside the European Economic Area
For the purposes set out above, in addition to specifically authorized employees and collaborators of the University, personal data may also be processed by those who execute outsourced activities on behalf of the University in their capacity as data processors (the updated list is available at: https://www.unive.it/pag/36643/).
Personal data collected by third party cookies may be transferred outside the European Economic Area (EEA) in compliance with the provisions of the Regulation.
7. Data subjects rights and how to exercise them
As a data subject, you have the right to obtain from the University, in the cases provided for by the Regulation, the access, the rectification and the erasure of your personal data as well as ask for the limitation of the processing of your personal data or to object to the data processing itself (articles 15 and following of the Regulation). The request can be submitted, without any particular formal procedures, by contacting the Data Protection Officer directly at email@example.com or by sending a communication to the following address: Ca' Foscari University of Venice - Data Protection Officer, Dorsoduro 3246, 30123 Venice. Alternatively, you can contact the Data Controller, by writing a PEC (certified email) to firstname.lastname@example.org.
Data subjects, who believe that the processing of their personal data is in violation of the provisions of the Regulation, have the right to file a complaint with the Data Protection Authority, as provided for by art. 77 of the Regulation, or to take legal action (art. 79 of the Regulation).
Appendix on social media:
In addition to the privacy notice published at: www.unive.it/pag/29567, the University provides you with information on the processing of your personal data collected through its social media pages (Facebook, Instagram). In particular, the University only processes anonymous and statistical information collected by the social media providers, who act as joint controllers on the basis of the CJEU ruling n. C-210/16 (5 June 2018). Moreover, the University informs you that when you leave a comment or a post on its social media pages, it will process your data only to administer your request/comment.
Last updated: 27/07/2022
List of cookies
Last update of the list of cookies: 27/7/2022
They maintain the session data of the SingleSignOn.