CODE 52344 ACADEMIC YEAR 2024/2025 CREDITS 6 cfu anno 1 SCIENZE BIOLOGICHE 8762 (L-13) - GENOVA SCIENTIFIC DISCIPLINARY SECTOR MAT/02 LANGUAGE Italian TEACHING LOCATION GENOVA SEMESTER 1° Semester PREREQUISITES Propedeuticità in uscita Questo insegnamento è propedeutico per gli insegnamenti: Biological Sciences 8762 (coorte 2024/2025) GENERAL PHYSIOLOGY 67062 Biological Sciences 8762 (coorte 2024/2025) ECOLOGY 67081 Biological Sciences 8762 (coorte 2024/2025) GENERAL HYGIENE 62264 Biological Sciences 8762 (coorte 2024/2025) ORGANIC CHEMISTRY AND LABORATORY 65529 Biological Sciences 8762 (coorte 2024/2025) PHYSIOLOGY OF EXCITABLE CELLS 67061 Biological Sciences 8762 (coorte 2024/2025) DEVELOPMENTAL BIOLOGY 65535 Biological Sciences 8762 (coorte 2024/2025) MICROBIOLOGY AND LABORATORY 65537 Biological Sciences 8762 (coorte 2024/2025) ANIMAL PHYSIOLOGY AND LABORATORY 67060 Biological Sciences 8762 (coorte 2024/2025) MOLECULAR PHYSIOLOGY 61766 Biological Sciences 8762 (coorte 2024/2025) BIOLOGICAL CHEMISTRY AND LABORATORY 65531 TEACHING MATERIALS AULAWEB OVERVIEW The teaching aims to provide the mathematical skills indispensable for the language of science, presenting basic concepts and methodologies of algebra and mathematical analysis. AIMS AND CONTENT AIMS AND LEARNING OUTCOMES With this teaching the student will acquire the following competences: numerical sets and their operations, factoring of polynomials, solving linear systems, calculation of limits of successions and functions, elementary properties of continuous functions of a real variable, elementary properties of differentiable functions of a real variable, calculation of integrals for functions of a real variable. TEACHING METHODS Frontal lecture. Students who have valid certification of physical or learning disabilities on file with the University and who wish to discuss possible accommodations or other circumstances regarding lectures, coursework and exams, should speak both with the instructor and with Professor Sara Ferrando (sara.ferrando@unige.it), the Department’s disability liaison. SYLLABUS/CONTENT Preliminaries: Recollactions on numeric sets and arithmetic calculus, properties of real and complex numbers. Elementary set theory: union, intersection and applications. Functions of a real variable, their graph and properties. Elementary functions: polynomials (finding roots and factoring), trigonometric functions, exponential functions and logarithm. Linear algebra: solutions of linear systems using the Gauss algorithm, geometrical aspects (intersection of two lines in the plane). Matrices: product, determinant, rank. Functions of a real variable: Domain of definition, image, composition, graph. Limits: Definitions, properties, elementary limits and calculation rules, asymptotes. Continuous functions: Definition, elementary properties, existence of zeros, global maxima and minima. Derivable functions: Definition, geometric interpretation, derivatives of elementary functions and calculation rules, successive derivatives and Taylor polynomials. Use of derivatives in studying the graph of a derivable function: tangent lines to the graph, critical points, monotony, relative maxima and minima. Defined integrals: Definition, geometric interpretation, primitives, fundamental theorem of integral calculus, use of primitives for calculating integrals, integration by substitution and by parts. RECOMMENDED READING/BIBLIOGRAPHY A.M. Bigatti, L. Robbiano, "Matematica di base", Casa Editrice Ambrosiana. TEACHERS AND EXAM BOARD MARCO BENINI Ricevimento: By appointment. LESSONS Class schedule INSTITUTIONS OF MATHEMATICS EXAMS EXAM DESCRIPTION Written exam and oral exam. ASSESSMENT METHODS The written exam may include exercises on factoring polynomials, solving linear systems, geometry of lines in the plane, calculating limits, studying continuous and derivable functions and calculating integrals. The oral exam may involve carrying out an exercise on the blackboard or verifying the learning of the definitions and theorems covered in the course. Agenda 2030 - Sustainable Development Goals Quality education