Basics of general mathematics, first degree equations and mathematical symbology, elementary knowledge office package
Statistics and data analysis:
▪ Organization, sinthesys and data representation
▪ Numerical Relationships
▪ Descriptive statistics
▪ Probability concepts and distributions
▪ Experimental observation of phenomena
basics of understanding and website design
With reference to the scientific and technical skills that graduates must possess, this teaching provides tools for understanding and analyzing data and information for the synthesis, description and forecasting of phenomena related to marketing and technical-economic management of gastronomic activities. We want to stimulate the elaboration of a critical vision of economic activity aimed at the professional management of the same.
Furthermore, the course provides tools for acquiring the computational skills applicable in the study of the courses included in the study plan.
He must be able to put his knowledge into practice through the use of specific software that will be learned during classroom exercises.
Present the expected learning outcomes in line with the Dublin Descriptors indicated in SUA-CdS (outline A4.b.1, A4.b.2 and A4.c).
The course sheet must, therefore, take care of the detailed description in terms of:
Knowledge and understanding
The student will need to know the basic statistical methods for analyzing data relating to consumption and business management and the necessary tools.
Ability to apply knowledge and understanding
The student will be able to put into practice the knowledge through the use of specific software for the application of the theoretically learned statistics. The use of data processing software will be learned during classroom exercises.
Autonomy of judgment
By studying the theoretical foundations and application insights provided during the course, the student can practice statistical analysis on data collected independently or on official sources.
The course will provide skills and development of technical language. The exercises will end with the elaboration of reports containing the critical analysis of the statistical results obtained in order to develop the communication skills useful for analysis in the profession.
The structuring of the teaching through innovative methods will allow the development of new learning skills based on learning by doing, on the use and experimentation through the practice of theoretical intuitions and technical language. The non-use of powerpoint, the interpersonal interaction and the consequentiality of the concepts starting from the level of learning of the class will improve the learning abilities of the class. The level of attention will be stimulated through examples based on real and current data useful in the profession. Peer tutoring will enable the development of peer discussions by channeling information and teaching tools more effectively than traditional delivery methods.
▪ Materiale fornito dal docente.
▪ M. Middleton: Analisi statistica con EXEL - APOGEO. Un buon testo per imparare ad usare le funzioni di EXCEL per l'analisi statistica e la rappresentazione di dati. (www.apogeonline.com).
▪ M.A. Ricci Dispense di statistica e analisi dei dati sperimentali.
▪ L'uso di Excel per la statistica - manuale ad opera dell'ISTAT, disponibile online
▪ Massimo Bergamini, Anna Trifone, Graziella Barozzi: Corso base blu di Matematica. Volumi 3, 4 e 5.
The exam part of the mathematics module consists of a written test lasting 2 hours based on the resolution of exercises by applying calculation tools acquired during the course. The ability to understand the problem and the choice of the most suitable instrument for its resolution will be evaluated. There is also an oral exam to assess the theoretical bases of the student.
The data processing part is based on an ongoing evaluation of 5-7 exercises to be performed at home on real data. The tests will be given one for each week of the course and their delivery will take place no later than the end of the lessons. The ability to use software tools for statistical analysis, the ability to manage databases of different structuring and size, and the ability to use technical language for critical analysis will be evaluated. Furthermore, an oral examination is foreseen to confirm the degree of learning or to assess the skills developed in the event of failure to deliver the exercises. In the latter case, the oral exam will consist of questions on the theory and verification of the learning of the practical application on software.
Finally, the exam will be evaluated as a weighted average compared to the credits of the results obtained.
Verification of learning will take place in two ways.
1) Written exam on the appeal date OR an exemption check during the course, with voluntary participation, concerning written exercises for solving problems involving the use of the logics learned in class and verifying the ability to define statistical concepts I learned.
2) Oral and practical test to be discussed during the examination concerning the analysis with the software learned of real problems that take inspiration from the exercises done in the classroom.
Statistics and Data Analysis
Organization, synthesis and representation of data
Types of data: nominal, ordinal, discrete or continuous.
Tables: absolute and relative frequencies
Cumulative frequencies (absolute and relative)
Frequency histograms, bar charts, box plots.
Standardization and rates.
Exercises: use of an electronic spreadsheet (EXCEL) for the creation of tables, simple frequency histograms, elementary operations on the data.
Position indexes: average, fashion, median.
Dispersion indices: variance and standard deviation. Quartiles and percentiles. Inequality:
Indices of asymmetry.
Moments of a distribution.
Position and dispersion indexes for frequency histograms: weighted average and variance.
Computer exercises: use of the EXCEL statistical functions. Calculation of weighted indices in the case of grouped data (histograms) on e-commerce data.
▪ Elements of probability calculation
▪ Definition of probability and elementary operations.
▪ Conditional probabilities.
Computer exercises: use of the EXCEL statistical functions on trade and e-commerce data
▪ Experimental observations and measurement tools
▪ The central limit theorem
▪ Confidence intervals
▪ Characteristics of the measuring instruments: operating range, readiness, sensitivity, resolution, precision.
Significant figures. Absolute errors and relative errors. Accuracy and accuracy of measurements.
Exercises: practical exercises of measurements and interpretation of trade and / or electronic commerce data
▪ Statistical inference: hypothesis test
▪ t-test: comparison between average values
ANOVA one way
Computer exercises: statistical tests on trade data.
▪ Correlation, variance and covariance
e-commerce and the main strategies
Exercises: the application of the analysis by regression for the identification of the best e-commerce strategies
SET OF REAL NUMBERS: Operations with real numbers, functions and their domain.
GEOMETRY AND TRIGONOMETRY: trigonometric functions and their inverse form; triangle theorems; rect; parabola; ellips; hyperbole; circumference.
REAL FUNCTIONS OF REAL VARIABLE: operations between functions; function study;
DIFFERENTIAL CALCULUS: first and second derivatives and their applications on study of a function; operations with derivatives.
INTEGRAL CALCULUS: integrative methods; calculus of areas by integral calculus; partial differential equations; Chauchy’s problems.