MATHEMATICS-1

Academic year 2017/2018 Syllabus of previous years
Official course title MATEMATICA-1
Course code ET0045 (AF:257975 AR:149832)
Modality Frontal Lesson
ECTS credits 6 out of 12 of MATHEMATICS
Subdivision Surnames Pat-Z
Degree level Bachelor's Degree Programme
Educational sector code SECS-S/06
Period 1st Term
Course year 1
Where VENEZIA
Course objectives
The main Calculus (one or more variables) and Linear Algebra concepts are presented. In order to develop language precision and a rigorous reasoning, several examples and applications to economics are discussed during the lectures.
Pre-requirements
Topics usually taught in undergraduate courses are assumed to be well known, in particular: Set theory notation, real numbers; Algebraic rules; fractions; powers; inequalities; absolute value; Single variable elementary functions, linear, power, exponential, logarithmic and their graphs; Graphs obtained by translation from graphs of elementary functions; Equations and inequalities (even parametric), first and second degree, fractional, exponential and logarithmic; Analytical geometry: Cartesian coordinates, distance between two points, equation of a straight line, parabola and circumference and their graphic representation; Symbol of summation.
Contents
The program of the whole course (12 cfu, 60 hours) is the following:

Single variable functions. Derivatives. Single variable optimization. Integrals. Several variable functions. Optimization with several variables. Matrix algebra and linear equations systems. Applications to economics.
Chapters 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, of the textbook.
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
Type of exam
written
Assessment methods
Written exam.
The exam consists in 4 exercises concerning the first part of the course (chapters 3, 4, 5, 6, 7 of the textbook) and 4 exercises concerning the second part of the course (chapters 8, 9, 10, 11, 12 of the textbook) with open questions; among the exercises, at least 4 will be taken from the MyMATHLAB platform.

Partial exams
A possibility of an intermediate evaluation of the students' preparation level (first partial exam) will be provided at the end of the first teaching period (first 5 weeks), provided that the students solved the exercises assigned weekly on the MyMATHLAB platform which associated to the textbook. The students with sufficient preparation level at this stage will be allowed to answer only to the questions concerning the second part of the course (second partial exam, chapters 8, 9, 10, 11, 12 of the textbook) at the first written exam (primo appello). The final evaluation in this case is obtained as the mean value of the two partial examinations.
Teaching methods
Traditional lectures on theory and exercises. Tutorship is possible upon registration as will be explained during the first lecture.
Teaching language
Italian
Sustainability
  • Course with sustainable contents
  • University credits of sustainability: 1
  • Lecture notes, material for reference or for self-assessment available online or as e-book
  • E-learning, moodle platforms