MATHEMATICS-1

This course belongs to the fundamentals teaching activities of the bachelor course "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 second part of the course (Matematica 2) will be partially 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/ To this end, students can consult the first chapters of the textbook or specific notes such as, for example http://www.batmath.it/matematica/0-appunti_uni/precorso-ve.pdf (in particular chapters 3,4 ,5 and 6).

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 final written exam; admission to the final exam is possible only after completing some mandatory activities.
The students can replace the final exam with two partial exams. The first partial exam will be on November 3rd, 2022.

Online activities.
Quiz (mandatory activity in the second part of the course): multiple choice quiz (10 questions each) will be made available on the Moodle platform; they are intended to verify the acquisition of the contents related to the online activities.


Exercises (optional activities): Sets of exercises proposed on Moodle for self-evaluation of the material carried out during the course.

The exam is written and divided into three parts:
Part 0: It aims to verify basic knowledge.
Part 1: Referred to the contents of MATHEMATICS - 1.
Part 2: Referred to the contents of MATHEMATICS - 2.

The exam is evaluated on a 30-point basis. Part 0 does not give a score but allows, if passed, access to parts 1 and 2. Part 1 and Part 2 are evaluated on the basis of 15 points each. The final exam is unique and is considered passed with 18 total points over 30.
Regarding the grades:
A. scores in the 18-22 range will be awarded in the presence of:
- sufficient knowledge and ability to understand the program;
- limited ability to interpret and solve problems;
B. scores in the 23-26 range will be awarded in the presence of:
- reasonable knowledge and ability to understand the program;
- reasonable ability to interpret and solve problems;
C. scores in the 27-30 range will be awarded in the presence of:
- good or excellent knowledge and ability to understand the program;
- good or excellent ability to interpret and solve problems;
D. The "laude" will be awarded in the presence of excellent
knowledge, understanding of the program, and exceptional problem-solving skills.

The first part of the course will be taught frontally.
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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