Unit MATHEMATICS 2
- Course
- Optics and optometry
- Study-unit Code
- A002485
- Curriculum
- In all curricula
- Teacher
- Ilaria Mantellini
- Teachers
-
- Ilaria Mantellini
- Hours
- 35 ore - Ilaria Mantellini
- CFU
- 5
- Course Regulation
- Coorte 2026
- Offered
- 2026/27
- Learning activities
- Base
- Area
- Discipline matematiche e informatiche
- Sector
- MATH-03/A
- 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 2 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.