CODE 101117 2024/2025 6 cfu anno 1 MARITIME SCIENCE AND TECHNOLOGY 10948 (L-28) - GENOVA MAT/05 English GENOVA 1° Semester AULAWEB

## AIMS AND CONTENT

### LEARNING OUTCOMES

The aim of this teaching unit is to provide a practical working tool for students where rigorous Calculus is needed. The main focus is on the study of functions of one real variable (continuity, derivative, maxima/minima, integration). The last part of the teaching unit is oriented towards basic ordinary differential equations (for example separation of variables, linear first-order, and constant coefficients ODE).

### AIMS AND LEARNING OUTCOMES

The aim of this teaching unit is to provide a practical working tool for students where rigorous Calculus is needed. The main focus is on the study of functions of one real variable (continuity, derivative, maxima/minima, integration).

The second part of the unit is oriented towards basic ordinary differential equations.

### TEACHING METHODS

The teaching unit is divided into a theoretical part and exercises . During theory classes, definitions, theorems and main proofs will be given. During the exercises lessons, examples will be discussed and solved with the students, aiming to a ameliorate the calculus skills.

Working students and students with certified SLD (Specific Learning Disorders), disability or other special educational needs are advised to contact the teacher at the beginning of the teaching unit to agree on teaching and examination arrangements so to take into account individual learning patterns, while respecting the teaching objectives.

### SYLLABUS/CONTENT

Numbers: natural, integer, rational, real numbers. Definitions and first examples of functions; continuity, derivability and theorems about them, study of maxima/minima, integration. Ordinary differential equations: separation of variables, constant and nonconstant linear differential equations; Cauchy problem.

Claudio Canuto, Anita Tabacco: "Mathematical Analysis 1", Pearson

## LESSONS

### LESSONS START

https://corsi.unige.it/10948/p/studenti-orario

### Class schedule

The timetable for this course is available here: Portale EasyAcademy

## EXAMS

### EXAM DESCRIPTION

The exam will consist of a written part and an oral part. The oral part is accessible only if the score in the written test is higher or equal to 14.

### ASSESSMENT METHODS

During the written test, the student will solve exercises mainly concerning limits, integrals, study of functions and ordinary differential equations. During the oral examination student must highlight critical analysis, skills and ability to apply the concepts learnt to solve exercises, possibly some applications to the real world.