Unit MATHEMATICAL ANALYSIS IST
- Course
- Physics
- Study-unit Code
- GP005443
- Curriculum
- In all curricula
- Teacher
- Patrizia Pucci
- Teachers
-
- Patrizia Pucci
- Hours
- 70 ore - Patrizia Pucci
- CFU
- 10
- Course Regulation
- Coorte 2021
- Offered
- 2021/22
- Learning activities
- Base
- Area
- Discipline matematiche e informatiche
- Academic discipline
- MAT/05
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- Italian
- Contents
- Basic elements of Calculus on the real line and first notion of Topology.
- Reference texts
- 1. E. Acerbi, G. Buttazzo: Analisi Matematica ABC. 1. Funzioni di una Variabile. Pitagora Editrice, Bologna (2003), 316 pp, ISBN 88-371-1412-5.
2. G. Buttazzo, V. Colla: Temi d'Esame di Analisi Matematica I. Pitagora Editrice, Bologna (2000), 248 pp, ISBN 88-371-1221-1.
Enrolled student will also have access to extra material such as written proofs of the main theorems, tools to reconstruct and memorize them, sample of solved problems, groups of proposed problems, weekly test for self evaluation. - Educational objectives
- Computation in the main Calculus techinques (limits, derivatives and integrals); solving optimization problems; reproducing statements and proofs of the main theorems presented in the course; answering questions deriving from the above topics.
- Prerequisites
- Mostly required are the topics usually covered in any mathematical course of secondary school, such as analytic geometry, exponentials, logarithms, trigonometry.
- Teaching methods
- Lectures, weekly on-line tests, exercise sessions.
- Other information
- Parallel introductory course (corso di allineamento) for freshmen who did not pass the initial test; attendance in the tutorial hours.
- Learning verification modality
- Final exam: a first test concerning exercises (consulting of books and notes allowed), and an oral exam on theorems.
For information on support services for students with disabilities and / or DSA visit the page http://www.unipg.it/disabilita-e-dsa - Extended program
- 1. Properties of the real line. A survey of prerequisites.
2. Limits and continuity of real functions.
3. Derivatives.
4. Integration (continuos functions, Riemannn).
5. Real series.