|SCIENTIFIC DISCIPLINARY SECTOR||MAT/05|
Prerequisites (for future units)
The course "Mathematical Analysis I" aims to provide students with some basic mathematical tools, both theoretical and computational, useful for engineering and application-oriented topics of all the next courses.
The course will be focused on functions of one and several real variables, on the related differential and integral calculus, on the resolution of ordinary differential equations and series of functions.
The course introduces general mathematical notions and tools at the basis of engineering modeling, related to the study of the functions of one or more real variables. In particular, the concept of limit and continuity, the differential and integral calculus, also of functions of several real variables, the resolution of ordinary differential equations, the analysis of curves and surfaces, and the study of the convergence of numerical series and series of functions.
The "Mathematical Analysis I" course aims at giving basic mathematical tools necessary to the studies in the engineering field.
At the end of the lessons the student will have acquired sufficient theoretical knowledge:
Elementary algebra: literal calculus, polynomials, equations and inequalities, trigonometry.
72 hours of theoretical lessons, 48 hours of classroom practices. During the theoretical lessons the definitions and the theorems will be presented with many examples and applications. During the other part of the course many exercises will be solved.
In addition, a tutor will solve some exercises in extra (optional) lesson hours.
The teaching program includes both theoretical study and practical resolution of exercises in the following topics:
Handouts: "MATHEMATICS I" and "MATHEMATICS II" by prof. Maurizio Romeo, downloadable for free from the web page of the course.
Sheets containing links to web pages with different solved exercises, downloadable for free from the web page of the course.
Workbook: Laura Recine - Maurizio Romeo, Esercizi di analisi matematica - Volume II, Maggioli Editore.
P. Marcellini – C. Sbordone: Calcolo, Liguori Editore, Napoli, or any other good text of mathematical analysis.
M.Baronti – F.De Mari – R.Van Der Putten – I.Venturi: Calculus Problems, Springer
Office hours: By appointment via email.
CLAUDIO ESTATICO (President)
MARCO BARONTI (President Substitute)
ULDERICO FUGACCI (President Substitute)
The final exam consists of a written test and an oral exam. The student must obtain an evaluation of at least 16/30 in the written test to access the oral exam.
Students with SLD other special educational needs are advised to contact the teachers at the beginning of the course to agree on the most appropriate teaching and exam methods that, in compliance with the teaching objectives, meet the individual needs and to identify student-specific compensatory tools.
The exam consists of a written test and an oral test.
The written test consists in solving exercises concerning the arguments of the course. The written test must be passed before attending the oral examination and can be taken both in previous sessions and in the same session in which the student intends to attend the oral examination.
Only students who have previously passed the written test with a grade greater than or equal to 16/30 can access the oral exam.
Attendance is not compulsory but strongly recommended to all students.