#
Mathematics

A.Y. 2020/2021

Learning objectives

The goal of the course is to introduce some mathematical concepts and tools with particular reference to the topics which can be useful for applications to Agricultural and Food Sciences. The course aims at helping students to gain an adequate theoretical understanding of the matter, as well as good computational skills. At the end of the course students should be able to exploit their math knowledge in order to set and solve simple applied problem in a rigorous way.

Expected learning outcomes

Knowledge and understanding concepts of basic mathematics and elementary Mathematical Analysis. In particular, with regard to basic mathematics, the student will be able to manipulate formulas containing algebraic expressions, percentages and proportions, radicals, logarithms and exponentials, to solve equations and inequalities, to use the main tools and techniques of analytical geometry, plane and solid geometry and trigonometry. As far as elementary Mathematical Analysis is concerned, the student will be able to draw and use graphics of real functions of one variable in many different frameworks, to calculate limits, derivatives and integrals and to use these concepts for describing and solving real problems. Moreover, students will be able to understand and execute autonomously simple mathematical steps commonly used in the scientific literature of his own sector.

**Lesson period:**
First semester

**Assessment methods:** Esame

**Assessment result:** voto verbalizzato in trentesimi

Course syllabus and organization

### Single session

Responsible

Lesson period

First semester

**Course syllabus**

Integer numbers, rational numbers and real numbers. Coordinates systems, element of analytic geometry, straight lines, circumferences, parabolas. Elementary functions and their graphics: exponential, logarithmic and trigonometric functions. Equations and inequalities: of I and II degrees, fractional, logarithmic, trigonometric and exponential, systems of inequalities. Real functions: -Definition of relations and function -Limits -Continuity -Derivatives: geometrical meaning, rules of differentiation, relative maxima and minima, -Asymptotes -The study of a function of one real variable. Integration: -primitives of a function, the indefinite integral -the definite integral and the calculus of plane areas -the fundamental Theorem of Integral Calculus

**Prerequisites for admission**

As a first semester course in the first year, there are no specific prerequisites other than those required for entrance to the degree course.

**Teaching methods**

Frontal lessons, exercises, use of e-learning platform associated with the textbook, use of educational software, group work. The course uses the Ariel platform, on which are loaded weekly sheets of exercises and other teaching materials related to the topics covered in the lesson. Attendance at the course, although not compulsory, is strongly recommended.

**Teaching Resources**

Silvia Annaratone, Matematica sul campo. Metodi ed esempi per le scienze della vita. Pearson

**Assessment methods and Criteria**

The examination consists of a written test and an oral test. The written test is organized in two parts:

· Part A, lasting 30 minutes, consists of 10 open questions concerning the prerequisites to the course. The extremely simple questions are intended to assess whether the student has the minimum skills to approach a university course of mathematics. Part A will be passed answering correctly at least 8 out of 10 questions. Passing Part A is a necessary (but not sufficient!) condition for passing the written test

· Part B, which lasts 90 minutes, consists of six exercises related to topics of the course. The written test is passed if and only if both parts A and B are passed. The score obtained in Part A does not contribute to the final score of the written test.

The use of calculator if forbidden during the written test.

To attend the written test, students must be enrolled regularly through SIFA and must be in front of the classroom 15 minutes before the beginning of the written test, with photo ID and protocol sheets.

The total duration of the written test is 2 hours. During the written test it is forbidden to consult books, notes, use calculators of any kind, computers and mobile phones. During all the written test it is also forbidden to leave the classroom.

The oral test may be taken only if the written test has been passed with a score of 18/30 or more, and only at the same session of the written test.

The communication of the passing of the written test and therefore of the schedule of the oral tests, takes place through the Ariel portal.

Students who, after passing the written test, did not show up for the oral part will fail the exam.

The oral test will cover all the subjects dealt with in the course and contributes 20% to the final grade. The final grade of the exam will be expressed in thirtieth. Examples of written tests from past years are available on the Ariel course website.

· Part A, lasting 30 minutes, consists of 10 open questions concerning the prerequisites to the course. The extremely simple questions are intended to assess whether the student has the minimum skills to approach a university course of mathematics. Part A will be passed answering correctly at least 8 out of 10 questions. Passing Part A is a necessary (but not sufficient!) condition for passing the written test

· Part B, which lasts 90 minutes, consists of six exercises related to topics of the course. The written test is passed if and only if both parts A and B are passed. The score obtained in Part A does not contribute to the final score of the written test.

The use of calculator if forbidden during the written test.

To attend the written test, students must be enrolled regularly through SIFA and must be in front of the classroom 15 minutes before the beginning of the written test, with photo ID and protocol sheets.

The total duration of the written test is 2 hours. During the written test it is forbidden to consult books, notes, use calculators of any kind, computers and mobile phones. During all the written test it is also forbidden to leave the classroom.

The oral test may be taken only if the written test has been passed with a score of 18/30 or more, and only at the same session of the written test.

The communication of the passing of the written test and therefore of the schedule of the oral tests, takes place through the Ariel portal.

Students who, after passing the written test, did not show up for the oral part will fail the exam.

The oral test will cover all the subjects dealt with in the course and contributes 20% to the final grade. The final grade of the exam will be expressed in thirtieth. Examples of written tests from past years are available on the Ariel course website.

MAT/02 - ALGEBRA - University credits: 6

Practicals: 40 hours

Lessons: 28 hours

Lessons: 28 hours

Professor:
Poggioli Daniela

Professor(s)