MATHEMATICS-1

This course belongs to the fundamentals teaching activities of the bachlor 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 specifially, 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 engagment and commitment of the students and to encourage "active" learning, the course will be 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 problems 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: "Mathematica (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.
- Economic Applications.

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

Further material will be made available on the Moodle webpage of the course.

Evaluation is based on a final written exam; admission to the final exam is possible only after completing some mandatory online activities.

Online activities.
Quiz (mandatory activity): multiple choice quiz (10 questions each) will be made available weekly 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 to 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 the basic knowledge. The test consists of 3 questions.
Part 1: Referred to the contents of MATHEMATICS - 1; composed of 3 exercises.
Part 2: Referred to the contents of MATHEMATICS - 2; composed of 3 exercises.

The exam is evaluated on a 30-point basis. Part 0 does not give a score but allows, if passed, to access to part 1 and part 2. Part 0 is considered passed if at least two answers out of three are correct. Part 1 and part 2 are evaluated on a basis of 15 points each. The final exam is unique and is considered passed with the achievement of 18 total points over 30.

The course is delivered in "blended" learning, that is, with traditional lectures and online activites. In particular, 9 online lessons will be proposed (each corresponding to 2 academic hours) and 21 sessions made by two standard academic hours each. 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 carry out 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).

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