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ANALYSIS I

Academic year and teacher
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Versione italiana
Academic year
2022/2023
Teacher
SEBASTIANO FABIO SCHIFANO
Credits
6
Didactic period
Primo Semestre
SSD
MAT/05

Training objectives

The course covers the basic topics on Calculus I, and provides to students the notions of numerical sets, functions of one variable, limits, derivatives and integrals. At the end of the course, the students will be able to analyzing function and graphs of functions of one variable.

Prerequisites

Equivalent ratios, and basic knowledge of linear and quadratic equations and inequations.

Course programme

Basic concepts on numerical sets, logic, real number, maximum element of a set. Functions of one variables and graphing of functions, limits, continuity, asymptotes, definition of derivative and derivative of functions. Definition of definite and indefinite integrals, area and estimating with finite sums, integrals of functions.

Didactic methods

The course is structured with class lectures and practical exercises on all topics.

Learning assessment procedures

The final exam is a written test with exercises and questions on all topics of the course.

Reference texts

G. Anichini, A. CArbone, P. Chiarelli, G. Conti, Precorso di matematica, Pearson
J. Hass, M. D. Weir G. B. Thomas Jr., Analisi Matematica 1, Pearson
S. Salsa, A. Squellati, Esercizi di Analisi matematica 1, Zanichelli