
Course unit
MATHEMATICS
AG11105558, A.A. 2019/20
Information concerning the students who enrolled in A.Y. 2019/20
ECTS: details
Type 
ScientificDisciplinary Sector 
Credits allocated 
Basic courses 
MAT/02 
Algebra 
8.0 
Course unit organization
Period 
First semester 
Year 
1st Year 
Teaching method 
frontal 
Type of hours 
Credits 
Teaching hours 
Hours of Individual study 
Shifts 
Practice 
2.0 
16 
34.0 
No turn 
Lecture 
6.0 
48 
102.0 
No turn 
Examination board
Board 
From 
To 
Members of the board 
10 Commissione a.a. 2019/20 
01/12/2019 
30/11/2020 
ZANARDO
PAOLO
(Presidente)
RINALDI
FRANCESCO
(Membro Effettivo)
DI SUMMA
MARCO
(Supplente)
LUCCHINI
ANDREA
(Supplente)

9 Commissione a.a. 2018/19 
01/12/2018 
30/11/2019 
ZANARDO
PAOLO
(Presidente)
RINALDI
FRANCESCO
(Membro Effettivo)
DI SUMMA
MARCO
(Supplente)
LUCCHINI
ANDREA
(Supplente)
POLI
FEDERICA
(Supplente)

Prerequisites:

The student is supposed to know the following subjects from the highschool.
Equations and inequalities, both linear and quadratic.
Equations of lines, parabolas and circles in the plane.
Trigonometry; main relations.
Properties of powers and logarithms. 
Target skills and knowledge:

The course intends to provide the students with notions and techniques of basic calculus, aimed to the study of functions; to the computations of areas by integrals; to the solution of concrete problems, using derivatives; to the solution of linear systems with Gauss method; to the solution of problems using differential equations. 
Examination methods:

Written test, based on the solution of standard exercises, like those made in the classroom. 
Assessment criteria:

The grade is based on the exercises of the written test. The score and the evaluation of each exercise are explained to the students in details. 
Course unit contents:

1° credit: Definition of function. Real variable. Elementary functions. Inverse function. Limits of real functions. Operations on limits. Some special limits. Sequences and their limits.
2° credit: Continuity. Derivatives: the meaning in geometry and in physics. Derivative of product, quotient and composition of functions.
3° credit: Theorems of differential calculus. Relative maxima and minima. Problems of related velocities. Problems of max/min. L' Hopital's rule.
4° credit: Study of a function. Differential. Regression line (sketch).
5° credit: Indefinite integral. Integration by parts and by substitution, integration of some rational functions. The concept of definite integral.
6° credit: Fundamental theorem of calculus. Computation of areas. Improper integrals. Examples from
physics.
7° credit: Matrices. Column vectors. Product of matrices. Solution of linear systems. Gauss method.
8° credit: General notions on Differential Equations. First order differential equations. Various applications. Increase of a population. Separable differential equations. 
Planned learning activities and teaching methods:

Teaching in the classroom (in Italian). Exercises made in the classroom 
Additional notes about suggested reading:

Besides the suggested books, a file concerned with credit no. 7, and many tests assigned during the past years are at disposal of the students. 
Textbooks (and optional supplementary readings) 

Giuliano Artico, ISTITUZIONI DI MATEMATICA  Primo corso di matematica per la laurea triennale. Padova: Edizioni Libreria Progetto, .

Giuliano Artico, 333 ESERCIZI SVOLTI. Padova: Edizioni Libreria Progetto, .


