Acquire the main basic elements of mathematics to aid the learning of the subjects that use them (Statistics, Economics and others). Allowing, with a limited commitment, the understanding of the main tools of mathematical analysis even to those who have not had the opportunity to learn them previously, thus reducing the differences in preparation between students from different types of pre-university studies.

Knowledge and understanding: the student will have acquired the main basic elements of mathematics for the analysis of functions, such as evaluation of trends, search for minima, maxima or inflection points as well as some basic rudiments for the study of discrete and continuous random variables. Applying knowledge and understanding: during the course of study the student will be able to use both the language and the acquired contents in Statistics, Economics or other disciplines that make use of mathematical modeling. During the subsequent professional life, whenever possible, the acquired rudiments will allow to address quantitative questions; moreover when the complexity of the problem requires the involvement of experts, the contents of the course will help in order to design the requests and evaluate, effectively and consciously, the related answers. Making judgements: the student will have developed a greater critical awareness and judgment skills in the evaluation of results inherent in trend analysis, optimization, search for maxima or minima, in part also probability assessments, etc. Communication skills: both during the course of studies and subsequently in professional life, the student will have enriched his/her vocabulary with lexical terms mediated by mathematics and widely used. This knowledge will allow a more effective communication with experts in case of indepth analysis on specific topics. Learning skills: the student, thanks to the acquired mathematical "tools", will be able to face and more easily understand the topics of the applied disciplines that use them.

Set theory and numerical sets (natural numbers, integers, rational numbers, real numbers). The concept of function. Real function of real variable. First degree polynomial functions, geometrical representation, angular coefficient. Basics on polynomial functions of higher degree. Basics on fractional, exponential and logarithmic functions. Basics on sequences and series. Limits. Limits of functions. Continuity of a function, definition of derivative and geometrical meaning. Properties of derivatives; second order derivatives. Function study and graphs: domain, sign, intersections, extremal points, flexes, asymptotes. Basics on indefinite and definite integral, the fundamental theorem of calculus. Gaussian functions. Elements of combinatorics.

During the lectures didactic material will be made available; no specific reference text is required. Any introductory text in mathematical analysis can be helpful or serve as a complement. For example: Ernest Haeussler, Richard Paul, Richard Wood, Codice Descrizione "Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences", Global Edition, Pearson Education Limited 2022, ISBN 9781292413020 (Chapters 1-5 and 10-15)

Lectures with the use throughout the course of presentations projected on the screen and use of graphics made with web applications (GeoGebra, WolframAlpha, Desmos ...) Encouragement to interact. Examples and learning assessment exercises.

Multiple-choice test administered face-to-face on Luiss Learn platform, with learning assessment exercises. Alternatively: two intermediate tests during the course (same rules)

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