MATEMATICA E INFORMATICAMathematicsAcademic Year 2022/2023

9796613 - ANALISI MATEMATICA 1 PARTE B

Teacher: Salvatore Angelo MARANO

Expected Learning Outcomes

The student must be able to identify qualitative and quantitative properties of a real function of one real variable and to apply them to both theoretical and practical problems. He must be able to draw the graph of a function, motivating it based on the theoretical information acquired, be able to calculate an integral (indefinite, defined, generalized or improper) of a real function of one real variable, and solve simple first or second-order differential equations.

General educational objectives of teaching in terms of expected learning outcomes.

Knowledge and understanding: the aim of the course is to acquire the theoretical foundations and the main applications concerning differential and integral calculus for functions of one real variable.

Applying knowledge and understanding: the student will acquire the necessary skills to study simple mathematical models.

Making judgments: through concrete examples and exercises the student will be able to independently develop their own solutions to simple problems.

Communication skills: the student will acquire further communication skills and expressive appropriateness in the use of theoretical language in the general context of mathematical analysis.

Learning skills: the course aims, as an objective, to provide the student with the necessary theoretical and practical methodologies to be able to independently address and solve problems that may arise during the project activity.

Course Structure

Frontal lessons in the classroom.

PLEASE NOTE: Information for students with disabilities and / or DSA

To guarantee equal opportunities and in compliance with the laws in force, interested students can ask for a personal interview in order to plan any compensatory and / or dispensatory measures, based on the didactic objectives and specific needs.

It is also possible to contact the referent teacher CInAP (Center for Active and Participated Integration - Services for Disabilities and / or SLD) of our Department, prof. Filippo Stanco.

Required Prerequisites

Topics treated in the corse Mathematical Analysis 1, Part A..

Attendance of Lessons

Strongly recommended.

Detailed Course Content

Differential calculus and applications. Integration of functions of one real variable. Simple first and second-order differential equations.

Textbook Information

G. DI FAZIO – P. ZAMBONI, Analisi Matematica Uno, Monduzzi Editore, Bologna, 2007.

G. EMMANUELE, Analisi Matematica 1, Pitagora Editrice, Bologna, 2010.

P. MARCELLINI – C. SBORDONE, Analisi Matematica uno, Liguori Editore, Napoli, 1998.

C.D. PAGANI – S. SALSA, Analisi matematica 1, Zanichelli Editore, Bologna, 2015.

M. BRAMANTI, Esercitazioni di Analisi Matematica 1, Società Editrice Esculapio, Bologna, 2011.

P. MARCELLINI – C. SBORDONE, Esercitazioni di Matematica, Vol. I, Liguori Editore, Napoli, 1988.

Course Planning

	Subjects	Text References
1	Differentiation	1)-6)
2	Integration	1)-6)

Learning Assessment

Learning Assessment Procedures

The exam can be taken after passing tests required in the first module. Alternatively, it can be done in full mode, which consists of solving questions on the entire course. The exam relating to the second module requires the performance of some theoretical and practical exercises relating to the topics covered in the second semester. In the event that the work is deemed sufficient, the exam will be completed with an interview relating to theory.

Verification of learning can also be carried out electronically, should the conditions require it.

Versione in italiano