MATHEMATICS FOR ART AND ECONOMICS

Contribution of the course to the overall degree programme goals
The Mathematics for Art and Economics course is a compulsory course for the “Curriculum: Economics and Management of Arts and Cultural Activities” and it is the only course of quantitative area for this Curriculum.
The main objective is to provide a common language of a logical-mathematical type as well as the essential notions of calculus, which are important analytical tools for addressing the economic and management courses for the “Curriculum: Economics and Management of Arts and Cultural Activities”. The course also aims to let students explore some of the relationships between art and mathematics.

Expected learning outcomes
The course enables students to acquire basic mathematical knowledge and computational skills in the study of mathematical functions and to apply these concepts to formulate and solve some economic problems. The course also allows you to learn the concept of "golden section" and some of its uses in the artistic field Expected learning outcomes.Knowledge and understanding skills: understanding the meaning of the concepts of function, derivative, limit, elasticity; knowledge and understanding of the main calculation techniques for variable functions; understanding of the concept of optimization and its applications to economic problems. knowledge and understanding of the concept of the golden section.
Ability to apply knowledge and understanding: to be able to solve equations, inequalities and systems of equations; to be able to compute derivatives and simple limits; ability to solve simple optimization problems in one variable.

Pre-requirements
During the course it is assumed that students already know some mathematical topics covered in secondary school courses, in particular: set theory, real numbers, algebraic rules, cartesian coordinates.
However, some elements of elementary mathematics will be included in the course (chapter 0 of the textbook is devoted to this subject).

Contents
- Elementary mathematics
- Single variable functions
- Proprietà delle funzioni
- Derivative of single variable functions
- Applications of derivatives
- Single variable optimization
- Golden section in mathematics and art

Referral texts
Knut Sydsæter - Peter Hammond - Arne Strøm
Metodi matematici per l'analisi economica e finanziaria con MyMathLab e eText
Pearson editore Milano

book + MyMATHLAB
ISBN9788865189535

Or e-book + MyMATHLAB
ISBN9788865189542

Assessment methods
The written exam consists of 4 exercises (duration 1 hour). They are open-ended exercises. Some exercises will be taken from the MyMATHLAB platform that students can use during the course to practice. A fifth optional question concerns the subjects covered in the book 'the Golden Section in Mathematics and Art' and allows those who also answer this question to increase the score of the written test.

Teaching methods
The course consists of 30 hours of lectures held by the teacher and 10 hours of exercises held by an exerciser who will propose additional exercises on the topics covered in the lesson.
During the course one or more seminars will be organized on the subject of mathematics and art.
Through the use of the MyMathlab platform for online learning of mathematics associated with the textbook, students can practice further and deepen the topics covered during the course.

Italian

Further information
Detailed information on the program and study materials will be communicated at the beginning of the course on e-learning page (moodle.unive.it).

Accessibility, Disability and Inclusion
Accommodation and support services for students with disabilities and students with specific learning impairments

Ca’ Foscari abides by Italian Law (Law 17/1999; Law 170/2010) regarding support services and accommodation available to students with disabilities. This includes students with mobility, visual, hearing and other disabilities (Law 17/1999), and specific learning impairments (Law 170/2010). If you have a disability or impairment that requires accommodations (i.e., alternate testing, readers, note takers or interpreters) please contact the Disability and Accessibility Offices in Student Services: disabilita@unive.it.

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