First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Agricultural Sciences and Veterinary Medicine
Course unit
AG11105558, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course First cycle degree in
AG0056, Degree course structure A.Y. 2017/18, A.Y. 2019/20
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Number of ECTS credits allocated 8.0
Type of assessment Mark
Course unit English denomination MATHEMATICS
Website of the academic structure
Department of reference Department of Agronomy, Food, Natural Resources, Animals and the Environment
E-Learning website
Mandatory attendance No
Language of instruction Italian
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Teacher in charge PAOLO ZANARDO MAT/02

ECTS: details
Type Scientific-Disciplinary 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 of
Individual study
Practice 2.0 16 34.0 No turn
Lecture 6.0 48 102.0 No turn

Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2017 course timetable

Prerequisites: The student is supposed to know the following subjects from the high-school.
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
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, --. Cerca nel catalogo
  • Giuliano Artico, 333 ESERCIZI SVOLTI. Padova: Edizioni Libreria Progetto, --. Cerca nel catalogo