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The course consists of lessons describing the fundamental concepts of differential and integral calculus real for real functions of one real variable.

Mathematical Analysis T-1 (L-Z) / — University of Bologna

Extrema and critical points. Supremum and infimum of a set. The course aims to develop the ability to perform studies of functions, derivation, integration and solve simple differential equations.

Linear differential equations of second order with constant coefficients: Real numbers and functions. Partition of an interval. Theorems of Rolle, Lagrange, Cauchy.


The Neper’s number and related limits. Elementi di Analisi Matematica, vol.

Cauchy criterion for convergence of a serious. Derivative of composite functions. Other suggestions for exercises books: Corollari interpretation of T. Roots of an equation: Bramanti Esercitazioni di analisi matematica 1, Esculapio Editore. The De L’Hospital’s Theorems. Absolute convergence of integrals. In order to sustain it the student must register at the test on AlmaEsami [https: Convex and concave functions.

Elementi di analisi matematica 1. Versione semplificata per i nuovi corsi di laurea

Description News Office hours matemayica Forma Algebraic and trigonometrica. Integrating by parts and by marce,lini. Properties of the integral: Esercitazioni di Matematica, volume 1, ed. The exam is passed when the rating is greater than or equal to Theorems about limits of sequences: In the second test the student must demonstrate that he has learned the theoretical themes proposed in the lessons. Liguori Teaching methods The course consists of lessons describing the fundamental concepts of differential and integral calculus real for real functions of one real variable.


Nicola Fusco (matematico)

Elements of mathematical logic. Ability to apply the knowledge: The Malthus and Elemeni models for the population dynamics. Supremum and infimum of a function.

Continuous functions on a closed bounded interval. Piecewise continuous functions and propeties of their integrals. Further objective is to analyze, set up correctly, with the necessary logical rigor, a mathematical problem. Series in terms of alternating signs. Criteria for measuring learning outcomes: Fermat’s, Rolle, Cauchy and Lagrange and their anailsi.

Visite Leggi Modifica Modifica wikitesto Cronologia. Exponential, logaritmic and angular functions.

Continuity of the composition of two continuous functions and the theorem on the change of variable in a limit. Derivative of inverse functions and applications.