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Calculus

A.Y. 2022/2023
7
Max ECTS
64
Overall hours
SSD
MAT/05
Language
Italian
Learning objectives
The course intends to give both the basic concepts of the theory of univariate functions and the basic concepts.
Expected learning outcomes
1) Use real-valued functions of real-valued variables, both in calculations and to describe elementary models.
2) Be familiar with the basic software tools of Statistics and Probability.

Lesson period: First semester

Lessons timetable

Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi

Exams calendar

Single course

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Course syllabus and organization

Linea Unica

Lesson period
First semester
Course syllabus
1 Calculus
· Real numbers, real field and its properties
· Functions, their properties, graphs.
· Limits, continuity
· Differential calculus and its applications
· Integral calculus

2 Probability and Statistics
· Probability, conditional probability and applications.
· Random variables
· Sampling and descriptive Statistics
· Parameter estimate
· Hypothesis testing
Prerequisites for admission
Knowledge of high-school Mathematics
Teaching methods
Front lessons and exercise sessions
Teaching Resources
Handouts
M. Bramanti, C. D.Pagani, S.Salsa: Analisi Matematica 1, Zanichelli
S. Ross: Introduzione alla Statistica, Apogeo
Assessment methods and Criteria
Written exam. Students must solve problems using techniques that have been developed during the course
MAT/05 - MATHEMATICAL ANALYSIS - University credits: 7
Practicals: 16 hours
Lessons: 48 hours
Professor: Boella Marco Ugo Claudio