ID:
500349
Duration (hours):
72
CFU:
9
SSD:
ANALISI MATEMATICA
Year:
2025
Overview
Date/time interval
Primo Semestre (01/10/2025 - 16/01/2026)
Syllabus
Course Objectives
The course aims to introduce some fundamental notions of mathematics and statistics. The student is expected to learn the meaning and possibility of using analytical tools such as limits, derivatives, integrals and the basic notions of statistics and probability in a scientific framework.
Course Prerequisites
No specific requirements, other than the basic mathematical notions provided by the ordinary school, are requested.
Teaching Methods
Lectures, enriched with examples and exercises, carried out in the classroom by the teachers Pierluigi Colli and Raffaella Carbone. For most of the course, the teachers write on the blackboard. For some topics, use of a presentation via slides shown on the projector. Availability to discuss with the students within the hours of receipt. Availability to discuss with students during office hours.
Assessment Methods
The exam consists of a written part and a possible oral part. The written test includes 6 exercises, of which 3 for the Mathematics part and 3 for the Statistics and Probability part. The exercises are aimed at verifying the learning of both the practical part and the theoretical reference framework. The exercises have a complete text with data and questions asked to the student and require a complete resolution on separate sheets. To pass the exam, the student is required to complete at least one exercise in the Mathematics part and at least one exercise in the Statistics and Probability part. After the written test, the teacher communicates the results and offers only those students who obtain a passing grade in the written test either direct verbalization or an oral interview. If the written grade is n/30, the student who does not take the oral exam will be graded n/30. The oral test will start from an analysis of the written text. During the oral exam, the student has to show that he can master the notions of the course and he is able to use these notions in situations proposed by the teachers. Appropriate compensatory measures are provided for students with disabilities, who are invited to contact the teachers to learn about the support tools available to them.
Texts
Possible reference texts for the course are: - M. Bramanti, F. Confortola, S. Salsa: Matematica per le Scienze. Zanichelli - D. Benedetto, M. Degli Esposti, C. Maffei: MATEMATICA PER LE SCIENZE DELLA VITA. Casa Editrice Ambrosiana - S. Invernizzi, M. Rinaldi, F. Comoglio: Moduli di matematica e statistica - Con l'uso di R . Zanichelli - W. Dambrosio: ANALISI MATEMATICA FARE E COMPRENDERE - Con elementi di probabilità e statistica. Zanichelli - E.N. Bodine, S. Lenhart, L.J. Gross (curatori: G. Caristi, M. Mozzanica, G. Tommei): Matematica per le scienze della vita. UTET Università - V. Villani, G. Gentili: MATEMATICA: Comprendere e interpretare fenomeni delle scienze della vita. McGraw-Hill
Contents
Basic notions on sets and numerical sets. Algebraic calculus. Elementary equations and inequalities. Basic notions on analytic geometry. The notion of function. Some elementary functions (powers, exponentials, logarithms and trigonometrics). Applications (power laws in biology; logarithmic scales; periodic phenomena). The notion of limit for sequences and functions. The notion of derivative. Fundamental derivatives and derivation rules. Definite and indefinite integrals. Elementary hints on differential equations and models of population growth (Malthusian and logistics). Descriptive statistics (sampling, frequency, measures of the centre and of the spread of the data). Essentials of probability (sample space, counting, conditional probability). Discrete and continuous random variables. Normal laws. Central Limit Theorem. Confidence intervals.
Course Language
Italian
More information
The teachers are available to the students to provide them with indications and suggestions for the selection of texts and educational material, as well as proposals for exercises, exam tests and theoretical support material. Students in the categories identified by the project on innovative teaching will have the opportunity to hold receptions also online and by appointment at times to be agreed with the teachers, or view the teachers’ lecture notes.
Degrees
Degrees
NATURAL AND ENVIRONMENTAL SCIENCES
Bachelor’s Degree
3 years
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People
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