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The definition and the properties of the derivative of one variable functions. Lessons are completed with examples and counterexamples illuminating the theoretical content.

The fundamental notions of mathematical analysis related with the properties of real numbers and to the definition of limit. Textbooks and optional supplementary readings M.

Marco Bramanti, Carlo D. Target skills and knowledge: Taylor’s formula of the second order for functions of several variables. My e-mail for students My e-mail for staff Close. On-line material on IOL: Double integrals on rectangular and normal domains computed by iterated integrals. Futhermore a lot of exercises are solved in the classroom.

## 27993 – ANALISI MATEMATICA T-2

The oral part of the exam must be passed in the same session of the written part. Convergence criteria for numerical series. The flux of analisl vector field through an oriented surface.

Theorems on existence, uniqueness and continuation of solutions. Learning modules Annalisa Baldi Modulo 1 Modulo 2. Generalizations to triple integrals. The divergence theorem and the Stokes theorem.

First cycle degree courses. Marco Berysch, Esercitazioni di Analisi Matematica 1. The Cauchy problem for differential equations and systems. The detailed contents with the list of theorems and proofs, up to dated for each weak, can be found in the web course page.

Generalities on real and vector functions of several real variables. Partial and directional derivatives.

## MICHIEL BERTSCH

Ebrtsch Passo e L. Planned learning activities and teaching methods: To this aim tutorial activities will be organized and supervised by the teacher.

Elementi di Analisi Matematica, vol. Department of Statistical Sciences. Search Course unit catalogue.

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. See the website of Annalisa Baldi.

### Personal page of Michiel Bertsch

The vector space structure, the dot product and the euclidean norm. The ability of calculate derivatives and to use them to solve problems depending on parameters and to draw the graph of hertsch function.

Office hours See the website of Annalisa Baldi See the website of. The evaluation of limits of one variable functions using both notable basic limits and Taylor’s formula.