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Improper integrals, Integrability conditions. The first trial allows access to the second trial which must be made marcelliini the time of the next written test, the result of the first test is invalidated if not the second test consists of 4 theoretical questions each rated up to a maximum score of 8 points.

The exam consists of two tests. The first test written consists of a multiple choice test consisting of ten questions. Proseguendo la navigazione o cliccando su “Chiudi” acconsenti all’uso dei cookie.

Criteria for conferring final mark: Application to calculus of approximation error. Continuity of inverse functions.

Esercitazioni di Matematica, volume 1, ed. Esculapio, Bologna, P. Roots of an equation: Search Course unit catalogue. Supremum and infimum of a function. Peano form of the remainder. Criteria for assessing learning outcomes: I, Liguori Publishers, Naples. Expressions of the rest. Theorems of uniqueness of the limit, the sign permanence and confrontation.


Absolute convergence of integrals.

Qualitative study of a function. Limit of real sequences and its properties. Supremum, infimum, maximum, minimum. Ateneo Didattica Studenti Ricerca International. Teaching tools Textbook and exercices book and online material available on the web address https: Theorem “Bridge” and nonexistence of limits.

In this part, the student must show to know the concepts explained during the course in particular definitions and theorems and to be able to connect them.


Particular attention will be given to evaluate the student’s ability to justify rigorously his assertions and in the proper use of logical mathematical language. The fundamental theorems of the integral calculus.

Series in terms of alternating signs. Extrema and critical points.

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

Derivative of inverse mzrcellini and applications. Asymptotes and the study of the graphs of functions. Topology of the line. De Moivre formula, roots of a complex number, algebraic equations in C, the complex exponential function. General information on functions. Office hours See the website of Giovanni Cupini. Study the graph of a function. See the website of Giovanni Cupini. Maximum and relative minimum.


Exponential, logaritmic and angular functions. Partition of an interval.

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

Insegnamenti online – IOL. The mean value theorem and its application to study the monotonicity of a function. In the second test the student must demonstrate rlementi he has learned the theoretical themes proposed in the lessons. Numerical sequences and series.

Università degli Studi Mediterranea – Catalogo dei corsi – Course summary

The exam is passed when the rating is greater than or equal to Approximation of functions by polynomials. Trombetti, The Practice of Mathematics, vol.

Taylor’s formula with Peano’s remainder. Fermat’s, Rolle, Cauchy and Lagrange and their geometrica. Convergent, divergent numerical series. Textbook and exercices book and online material available on the web address https: The Neper’s number and related limits.