Bertsch: Analisi matematica by Bertsch at – ISBN – ISBN – Mcgraw-Hill Companies – – Softcover. DOWNLOAD ANALISI MATEMATICA BERTSCH DAL PASSO GIACOMELLI. Page 1. Page 2. International Journal of Secure Software Engineering, Vol. 4, No. Analisi matematica by Bertsch, , available at Book Depository with free delivery worldwide.

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Department of Statistical Sciences.

Analisi matematica: Michiel Bertsch, Roberta Dal Passo, Lorenzo Giacomelli: : Books

Teaching methods The course consists of lessons describing the fundamental concepts of real and vector functions of several real variables. Planned learning activities and teaching methods:. Office hours See the website of Annalisa Baldi See the website of. The integral of a vector field over an oriented curve. Ahalisi learning activities and teaching methods: First cycle degree courses.

ANALISI MATEMATICA T-2 / — University of Bologna

Double integrals on rectangular and normal domains computed by iterated integrals. Properties of the double matmeatica. Textbooks and optional supplementary readings M. The correctness, clarity of exposition and completeness of the answers given to the different exercises are the criteria for the evaluation.

In the period jenuary-february the oral part may be passed in a subsequent session.

Analisi matematica

Assessment methods The assessment mateematica in a written and an oral exam. Partial derivatives, Schwarz theorem. Access to the oral part is allowed only to the students passing the written part. Generalities on real and vector functions of several real variables.


Smooth and piecewise smooth curves, length of a curve, integral of a function over a curve. The flux of a vector field through an oriented surface. Conservative vector fields and their potentials. Pagani e Sandro Salsa, Matemagica Matematica 1.

Teaching tools Tutorship if appointed. Target skills and analiso The Weierstrass theorem and the intermediate value theorem for functions of several variables. Geometric, harmonic and generalized harmonic series. Outline of double improper integrals. Lessons are completed with examples and counterexamples illuminating the theoretical content. Definition of a continuous function and of limit of a function. To this aim tutorial activities will be organized and supervised by the teacher. The change of variables theorem for a double integral.

The definition and the properties of the derivative of one variable functions. Enrolment, transfer, and final examination Degree Programmes Course unit catalogue Professional masters PhD programmes Specialisation Schools Postgraduate vocational training programmes Summer and winter schools International Education Projects Teacher training Transversal competencies and other learning opportunities.

The teacher will use, as far as possible, various technological tools to improve the learning and to let the students to have as much as possible education material to their disposal. An exercise book on functions of several real variables, such as, for example: The detailed contents with analixi list of theorems and proofs, up to dated for each weak, can be found in the web course page.


The assessment consists in a written and an oral exam. Absolute convergence of a series. Course Timetable from Feb 21, to May 03, My e-mail for students My e-mail for staff Close.

Give now Alma orienta Job placement. Proofs of some theorems, clearly detailed, may be required. Definition of Riemann double integral for functions defined on a bounded and measurable set.

The matematia are required to attend the lectures and to devote a right amount of time to autonomous study. Theorems on existence, uniqueness and continuation of solutions.


Information on the course unit. Futhermore a lot of exercises are solved in the classroom. Search Course aalisi catalogue.

Convergence criteria for numerical series. The course will provide tools, like integral calculus, number series and functions of two variables, that are used for courses on Probability and Statistics. The course consists of lessons describing the fundamental concepts of real and vector functions of several real variables. In the written part, lasting three hours, the solution of various exercises is required. Definition of a convergent series.

Learning modules Annalisa Baldi Modulo 1 Modulo 2.