Unit MATHEMATICS 2

Course
Optics and optometry
Study-unit Code
A002485
Location
TERNI
Curriculum
In all curricula
Teachers
• Ilaria Mantellini (Codocenza)
Hours
• 35 ore (Codocenza) - Ilaria Mantellini
CFU
5
Course Regulation
Coorte 2023
Offered
2023/24
Learning activities
Base
Area
Discipline matematiche e informatiche
MAT/05
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
Italian
Contents
Concept of limit and relative theorems. Continuous and differentiable functions and relative theorems. Study of a function. Integration theory.
Reference texts
Bramanti, Pagani, Salsa: Matematica: Calcolo infinitesimale e algebra lineare, Zanichelli

Notes supplied by the teacher.
Educational objectives
The main objective of the course is to provide the tools to describe the graph of a mathematical law.
The main knowledge acquired will concern the properties of continuous and differentiable functions and the geometric consequences
The main skills that the course aims to transmit are:
- to be able to qualitatively describe mathematical laws and their geometric properties (existence of a tangent line, maximum and minimum) and to know how to calculate the underlying area.
- knowing how to solve, following a standard procedure, the calculations needed to determine the graph or area.
Prerequisites
All basic notions of mathematics, in particular those relating to the mathematics course given in the first semester
Teaching methods
Lessons
Other information
All students are strongly invited to follow the lessons of mathematics of the first semester
Learning verification modality
The examination involves an individual written test lasting 1,5 hours. The written test is aimed at verifying the correct application of the rules and all theoretical skills reached by the student in manipulating the calculation methods .
In particular during the exam the student will solve two different exercises: one about the functions (study of graphics) and one about integral calculation.

Info on the support service for students with disability and/or DSA can be found at http://www.unipg.it/disabilita-e-dsa
Extended program
Concept of limit and relative theorems. Continuous and differentiable functions and relative theorems. Study of a function. Integration theory.
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