MATHEMATICS-2

This course belongs to the fundamentals teaching activities of the bachelor course called "Commercio Estero e Turismo". In line with the educational objectives of the course, this activity aims to present the main mathematical tools necessary for the analysis of economic phenomena; particular attention will be devoted to the use of formal language and methodological rigor. More specifically, the course aims to provide the main notions of calculus in one or more real variables and the main concepts of linear algebra. To foster engagement and commitment of the students and to encourage "active" learning, the course will be partly delivered in "blended" learning; standard classes are combined with online activities.

Knowledge and understanding skills.
Attendance and active participation in lectures, online activities, exercise sessions, tutoring activities, together with the individual study will allow the student to acquire the following knowledge and understanding skills:
- know and use the main mathematical tools necessary to represent economic phenomena;
- know the mathematical techniques useful to solve and analyze the proposed models.

Ability to apply knowledge and understanding.
Through the interaction with the instructors, the tutors, and peers and through the individual study the student acquires the following abilities:
- know how to use quantitative instruments to cope with issues related to an economic / business environment;
- know how to choose the most appropriate technique in order to solve the concrete problem under analysis.

Judgment skills, communication skills, learning skills.
Regarding the autonomy of judgment, communication skills and learning abilities, through the personal and group study of the concepts seen in class, the student will be able to:
- formulate rational justifications to the approach used to solve economic / business problems, understanding their relative strengths and weaknesses, by means of hypotheses, data and models;
- know how to formulate and communicate an adequate analysis and economic-financial interpretation of business figures also through the use of mathematical models.

Standard topics covered in secondary school courses are supposed to be known. More specifically, the entire program covered during the course: "Matematica (Obbligo Formativo Aggiuntivo)" offered at Ca' Foscari. As an example, see the syllabus of the CISIA tolc-E test on the page http://www.cisiaonline.it/area-tematica-tolc-economia/la-prova-line-2/

The course is splitted in two consecutive parts called MATHEMATICS - 1 and MATHEMATICS - 2 (12 Cfu, 60 academic hours overall).

The complete program of the course is as follows:

MATHEMATICS - 1 (30 hours):
- Functions of a variable.
- Derivatives.
- Optimization in one variable.
- Integration.
- Economic Applications.

MATHEMATICS - 2 (30 hours):
- Functions of several variables.
- Optimization in more than one variable.
- Linear algebra and systems of linear equations.

Detailed information on the program and study materials will be communicated at the beginning of the course.

K. Sydsaeter, P. Hammond, A. Strome (2015) Metodi matematici per l'analisi economica e finanziaria, con accesso a MyMathLab, Pearson.

M. Cardin, P. Ferretti, S. Funari (2008) Introduzione soft alla matematica per l'economia e la finanza: I SISTEMI LINEARI, Quaderni di didattica, n.25, Università Ca' Foscari Venezia.

Other teaching material will be made available on the Moodle platform of the course.

The evaluation is based on a written exam, accompanied by ongoing assessments, particularly with reference to asynchronous classes (the course is delivered in a blended mode). The ongoing activities are presented in the form of Moodle quizzes. Students must successfully complete the activities labelled as "mandatory". They do not contribute to the final grade, but passing these activities is a prerequisite for admission to the written exam.

The final exam is divided into two parts. The first part, called Part 0, aims to assess basic but essential skills. It is based on three simple exercises and is a prerequisite for access to the second part of the exam, which covers knowledge and skills from the entire course. For convenience, this second part is divided into two sections. Each section consists of two exercises that aim to assess the knowledge and the ability to apply the knowledge acquired during the lessons, both synchronous and asynchronous.

Exercises similar to those proposed in the final exam are available on the e-learning platform, either as weekly exercise sheets or as past exam papers or written exam simulations.

Regarding the grading scale (how grades will be assigned):
A. Scores in the range of 18-22 will be awarded for:
- sufficient knowledge and applied understanding of the program;
- sufficient ability to solve the proposed problems;
- limited ability to explain the mathematical procedures underlying the solution of the proposed exercises.
B. Scores in the range of 23-26 will be awarded for:
- fair knowledge and applied understanding of the program;
- fair ability to solve the proposed problems;
- fair ability to explain the mathematical procedures underlying the solution of the proposed exercises.
C. Scores in the range of 27-30 will be awarded for:
- good or excellent knowledge and applied understanding of the program;
- good or excellent ability to solve the proposed problems;
- good or excellent ability to explain the mathematical procedures underlying the solution of the proposed exercises.
D. Honors will be awarded for:
- excellent knowledge and applied understanding of the program, and an outstanding ability to present and explain the solution of the exercises.

The course is delivered in "blended" learning, that is, with traditional lectures (this year, exceptionally offered in a mixed mode in presence and online) and purely online activities. In particular, a number of "non-live" lessons will be proposed (each corresponding to 2 academic hours), together with "live" sessions made by two standard academic hours each (this year offered in a mixed mode in presence and online). The entire course covers 60 academic hours of teaching. There are also 20 extra hours of exercise sessions and dedicated tutorship activities. Detailed information on the structure of online activities and their scheduling will be made available on the Moodle platform (moodle.unive.it) on the online page dedicated to teaching.

In order to participate in all the online activities (some of which are mandatory), students are required to register for the course on the Moodle platform. In case of problems, the student can get in contact with the instructor by mail.

Students are required to register for the course on the Moodle platform of the university (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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