|SCIENTIFIC DISCIPLINARY SECTOR
Propedeuticità in uscita
The main aim is to provide students with the fundamental elements of differential and integral calculus for functions of one variable, also by using graphing software.
AIMS AND CONTENT
This course aims to provide students with basic knowledge on various topics, such as:
- numerical sets, functions and elementary functions;
- the approximation of real functions through polynomials;
- single-variable differential calculus;
- the problem of measurement: integral calculus;
- using spreadsheets for the analytical study of a function and its graphic representation.
AIMS AND LEARNING OUTCOMES
The main expected learning outcomes for this course are:
- mastering mathematical notation;
- knowing the properties and graphs of the main elementary functions;
- being able to follow logical chains of reasoning;
- mastering simple demonstration techniques;
- being able to solve exercises and discuss the reasonableness of the results.
Lectures with the use of the blackboard. 60 hours of teaching (2/3 theory 1/3 exercises).
- Real numbers: Real numbers. Maxima, minima, upper extreme, lower extreme.
- Functions: Elementary functions, compound function, inverse function.
- Limits and continuity: Limits of functions. Continuity. Global properties of continuous functions. Theorems of zeros and intermediate values. Weiestrass Theorem.
- Derivatives: Derivative. Tangent line. Derivative of compound functions and the inverse function. Lagrange's theorem. De l'Hôpital's rule.
- Integrals: Indefinite integral. Area of a plane region. Integral function. Fundamental theorem of integral calculus. Some integration techniques.
Teaching contributes to achieving the following Sustainable Development Goals of the UN 2030 Agenda
- Goal 4: provide quality, equitable and inclusive education and learning opportunities for all
- Goal 5: Achieve gender equality and empower all women and girls
- G. Crasta, A. Malusa, Elementi di Analisi Matematica e Geometria con prerequisiti ed esercizi svolti, La Dotta, 2015
Lecturer's notes (in italian) are available.
TEACHERS AND EXAM BOARD
Ricevimento: Send a message to email@example.com
Ricevimento: By appointment wich can be fixed in person or via email : firstname.lastname@example.org
ERNESTO DE VITO (President)
L'orario di tutti gli insegnamenti è consultabile all'indirizzo EasyAcademy.
The exam consists of a written test with open questions
To take part in the written test, you must register by the deadline at
The exam is aimed at verifying the student's mastery of calculation techniques and knowledge of the main tools of differential and integral calculus, introduced in the course of the course, and consists of three exercises consisting of several questions of varying difficulty. The student must be able to correctly solve the exercises and be able to justify the steps required to obtain the final result and use the correct formalism.
The duration of the test is 2.30 hours. Notes and textbooks may be consulted and the calculator may be used. The use of computers or mobile phones is not permitted.
Students with a certified DSA, disability or other special educational needs are advised to contact the lecturer at the beginning of the course to agree on teaching and examination methods that, while respecting the teaching objectives, take into account individual learning methods and provide suitable compensatory tools.