Program Overview
MATHEMATICAL ANALYSIS 1 A
Course Overview
The aim of this course is to provide the basic elements of differential calculus for functions of one variable.
Aims and Content
Learning Outcomes
The unit provides some basic concepts of mathematical analysis and the first elements of differential calculus for functions of one variable.
Aims and Learning Outcomes
The main expected outcomes are:
- to master the mathematical notation;
- the knowledge of the properties of the main elementary functions;
- the ability to follow the logical concatenation of arguments;
- the ability to solve elementary exercises.
Prerequisites
Numerical sets, equations and inequalities, analytic geometry, trigonometry.
Teaching Methods
Lecture classes and exercises classes.
Syllabus/Content
Real numbers, the real plane, graphs and elementary functions. Operations on functions and their graphical interpretation. Monotonicity, composition and inversion. Supremum and infimum. Numerical sequences. Limits of functions, infinitesimal and infinite functions. Continuous functions and their local and global properties. Derivatives, differentiation rules and elementary derivatives. Sign of derivatives and study of monotonicity and convexity. Theorems of Rolle, Lagrange, and de L'Hopital. Study of the graph of functions. Taylor expansions and their applications.
Recommended Reading/Bibliography
- M. Baronti, F. De Mari, R. van der Putten, I. Venturi - Calculus Problems - Springer International, 2016.
- C. Canuto, A. Tabacco - Analisi Matematica 1 - Springer Italia, 2014.
Teachers and Exam Board
Teacher
Alberto Perelli
Exam Board
- Alberto Perelli (President)
- Marco Baronti
- Robertus van der Putten
Lessons
Lessons Start
Lessons start when the first semester starts.
Class Schedule
The timetable for this course is available on the Portale EasyAcademy.
Exams
Exam Description
Written examination by tests with multiple answers. To participate in a written exam, students must register on the specific Unige web site at least 7 days before the date of the exam.
Assessment Methods
The test aims to verify the ability of students in performing short computations and simple deductive reasonings.
Exam Schedule
| Exam Date | Time | Location | Degree Type | Notes |
|---|---|---|---|---|
| 14/01/2026 | 10:00 | LA SPEZIA | Scritto + Orale | |
| 03/02/2026 | 10:00 | LA SPEZIA | Scritto + Orale | |
| 09/06/2026 | 10:00 | LA SPEZIA | Scritto | |
| 07/07/2026 | 10:00 | LA SPEZIA | Scritto | |
| 08/09/2026 | 10:00 | LA SPEZIA | Scritto |
Further Information
On the AulaWeb page of the course, you can find the text of previous written examinations and lists of exercises.
Course Details
Code
Not specified
Academic Year
2025/2026
Credits
6 cfu anno 1 INGEGNERIA NAUTICA 11882 (L-9 R) - LA SPEZIA
Scientific Disciplinary Sector
MAT/05
Language
Italian
Teaching Location
LA SPEZIA
Semester
1° Semester
Prerequisites
Propedeuticitŕ in uscita. This course is propedeutic for the following courses:
- Pleasure Craft Engineering 8721 (coorte 2025/2026)
- MATHEMATICAL ANALYSIS + MATHEMATICAL PHYSICS 60502
- Pleasure Craft Engineering 11882 (coorte 2025/2026)
- MATHEMATICAL ANALYSIS 2 60503
- Pleasure Craft Engineering 11882 (coorte 2025/2026)
- MATHEMATICAL PHYSICS 60504
Teaching Materials
AULAWEB