Learning objectives
The main purpose of the course is to give some mathematical theoretical and practical tools, useful in some applications of interest.
Goals at the end of the course
- KNOWLEDGE AND UNDERSTANDING: students will know the main analytical tools to study functions of multiple variables and the main statistical tools for data analysis;
- APPLYING KNOWLEDGE AND UNDERSTANDING: students will be able to apply the mathematical tools in exercises and applications of interest;
- MAKING JUDGEMENTS: students will be able to deal with new exercises, choosing autonomously the more appropriate method;
- COMMUNICATION SKILLS: students will be able to communicate correctly contents and methods of the course;
- LEARNING SKILLS: students will be able to use tools of the course in applications and problems in different frameworks.
Prerequisites
Main tools in the analysis of functions of one variable.
Course unit content
Funzioni reali di più variabili reali. Strumenti della statistica descrittiva. Introduzione alla statistica inferenziale.
Full programme
REAL FUNCTIONS OF MULTIPLE VARIABLES
Limits, continuity, Differential calculus, Curves and line integrals, Implicit functions and constrained extrema, Multiple integrals, Divergence and curl.
DESCRIPTIVE STATISTICS
Vocabulary, Data visualization, Central and dispersion indices, Bivariate analysis, Probability.
INTRODUCTION TO INFERENTIAL STATISTICS
Stochastic variables, Expectation and variance, Confidence intervals, Hypothesis verification.
Bibliography
The suggested book is
Matematica Applicata (a.a. 2020-21, Giorgio Martalò, Create McGrawHill – ISBN: 9 781307 661750)
Other notes in PDF format will be given during the lessons.
Teaching methods
Theoretical lectures and several examples and exercises.
Assessment methods and criteria
Written exam with theoretical questions and exercises about course contents. Minimum mark: 18/30.
Alternatively, two written intermediate exams during the lessons. Minimum mark in both exams: 15/30. Final mark: mean of the two intermediate marks, if greater than 18/30.
Other information
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