Calculus

A.Y. 2021/2022
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.
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
Educational website(s)