CODE 114606 ACADEMIC YEAR 2025/2026 CREDITS 6 cfu anno 1 INGEGNERIA INFORMATICA 11880 (L-8 R) - IMPERIA SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE English TEACHING LOCATION IMPERIA SEMESTER 1° Semester OVERVIEW The course is modulus 1 of four moduli of mathematics that jointly yield to the student the needed concepts and methods for the developments within the whole course of Ingegneria Informatica.. AIMS AND CONTENT LEARNING OUTCOMES The course provides some basic concepts of mathematical analysis: numerical sequences and series, differential calculus in one variable, polynomial approximation of functions, numerical methods for nonlinear equations. AIMS AND LEARNING OUTCOMES The aims are the understanding of the concepts and the applicability through formulae to the solution of problems. In general it is eesential to distinguish clearly hypothesis snd thesis or given data and unknowns. It is required the skill on definitions and methods on numerical sequences and differential calculus in one variable. The exam consists of written and oral parts. PREREQUISITES No prerequisites are required. TEACHING METHODS The lectures are given at the blackboard through a constructive method (definitions, theorems, applications). SYLLABUS/CONTENT The content consists of the following parts. An introductory part involves the main notation, the numerical sets and the induction method. Next numerical sequences and series are developed: increasing and decreasing sequences, limit of a sequence, main examples of sequences, the number e, convergent or divergent series, ratio test. The main part deals with the differential calculus: limit of a function, continuity, differentiability; Rolle, Lagrange and Cauchy theorems; Taylor's formula and application to maxima, minima, and inflection points. The last part treats numerical methods for the research of zeroes of functions. RECOMMENDED READING/BIBLIOGRAPHY Lecture notes relative to the course are provided by the teacher. TEACHERS AND EXAM BOARD ANGELO MORRO LESSONS Class schedule The timetable for this course is available here: Portale EasyAcademy