Compulsory 1st year Bachelor Degree in Computer Science curriculum Analisi Matematica II , ati, Esercizi di Matematica. G. De Marco, C. Mariconda: Esercizi di calcolo in una variabile, Zanichelli Decibel. S. Salsa, A. Squellati: Esercizi di analisi matematica 1, Zanichelli. E. Acerbi, L. ,ati, Esercizi di Analisi Matematica 1, Zanichelli. Recine L. e Romeo M. Esercizi di analisi matematica Volume I (Edizione 2), Maggioli Editore .
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Teaching Mode Traditional lectures. Insegnamenti online – IOL. Course Timetable from Sep 25, to Dec 13, Fornire una buona padronanza metodologica ed operativa degli aspetti istituzionali del calcolo differenziale ed integrale per le funzioni di una variabile.
Pecularities ddi real-valued functions of one real variable. Definition of convergent and of divergent sequences of real numbers. Theorems about limits of sequences: Zanifhelli algebra of limits. Monotone sequences and their limits. Decimal representation of real numbers. Definition of a continuous function of one real variable. The Weierstrass theorem and the intermediate value theorem. Definition of limit of a real function of one real variable; generalization of results established for sequences.
Continuity of the composition of two continuous functions and the theorem on the change of variable in a limit. Monotone functions and their limits. The inverse circular functions. The hyperbolic functions and their inverse functions.
Definition of a differentiable function and of derivative of a function. The algebra of derivatives.
The mean value theorem and its application to study the monotonicity of a function. Taylor’s formula with Peano and Lagrange forms of the remainder. Relative maxima and minima of a function: Definition of the Riemann integral. Properties of the integral: Sufficient conditions of integrability.
The fundamental theorems of the integral calculus. The theorems of integration by substitution and of integration by parts. Piecewise continuous functions and propeties of their integrals.
wsercizi Definition and operations on complex numbers. Algebraic form of a complex number, modulus and argument of a complex number, exponential form of a complex number. De Moivre formula, roots of a complex number, algebraic equations in C, the complex exponential function. Linear differential equations of first order: Linear differential equations of second order with constant coefficients: Generalization to variable coefficients and arbitrary order equations.
Giacomelli – Analisi Matematica, ed. Elementi di Analisi Matematica, vol. In general, the student may use any good textbook of Mathematical Analysis which contains the arguments of the program. The student will check with the professors the validity of the chosen alternative textbook depending on the program. Bramanti – Esercitazioni di Analisi 1, Ed. Esculapio, Bologna, M. Bersani – Esercizi di Analisi Matematica 1, Ed. Esculapio, Bologna, S.
58048 – Mathematics with Exercises
Progetto Leonardo -Bologna oppure S. Esercizi di Matematica, Vol.
The course consists of zanichelpi describing the fundamental concepts of differential and integral calculus real for real functions of one real variable. Lessons are completed with examples and counterexamples illuminating the theoretical content. Futhermore a lot of exercises are solved in the classroom. The examination consists of a preliminary written test and a test about the theoretical part. The written part contains exercises, and that could contains also basilar theoretic questions.
In order to sustain the written test the student must register through AlmaEsami [https: During this written exam the student cannot use books or notes. Electronic devices of any kind are also forbidden. If this written test is passed, the student can sit for the test concerning the theoretical aspects squellat the course. Access to the test concerning the theoretical aspects of the course is allowed only to the students passing the written part.
This part of the exam dwells upon the comprehension of the relevant concepts and on the knowledge of definitions and the statements of fundamental theorems. Proofs of some theorems, may be required. The theoretical part of the exam must be passed in the same session of the written part. Only in the period january – february the oral part may be passed in the subsequent session. See the website of Annalisa Baldi.
Mathematical analysis 1 (/)er Science-University of Verona
My e-mail for students My e-mail for staff Close. Home Prospective aquellati Current students Exchange students Graduates. Search Course unit catalogue. Analisi Matematica 1 – Liguori Editore oppure M. Zanichelli Teaching methods The course consists of lessons describing the fundamental concepts of differential and integral calculus real for real functions of one real variable.