Politecnico di Torino
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Politecnico di Torino
Academic Year 2007/08
20ACIHL, 20ACIHI
Mathematical analysis II
1st degree and Bachelor-level of the Bologna process in Computer Engineering - Verres/Ivrea
1st degree and Bachelor-level of the Bologna process in Mechatronic Engineering - Verres/Ivrea
Teacher Status SSD Les Ex Lab Tut Years teaching
Ziggioto Andrea       6 3 0 0 10
Ziggioto Andrea       6 3 0 0 10
SSD CFU Activities Area context
MAT/05 9 A - Di base Matematica, informatica e statistica
Objectives of the course
Objectives of the course

The aim of the course is to provide the student with the foundations of differential and integral calculus, together with a thorough grasp of all the basic concepts.
Prerequisites

Elementary analytic geometry in the plane. Elementary functions. Algebraic, trigonometric, exponential and logarithmic equations and inequalities.
Syllabus


Elementary logic. Sets, relations, functions. Composition of functions, inverse functions.
Limits and continuity. Computation of limits. Discontinuities. Sequences. Landau symbols. Basic results on limits and on global properties of continuous functions.
Derivatives and associated properties. The theorems of Fermat, Rolle, Lagrange, de l'Hopital. Taylor expansions.
The fundamental theorem of calculus. Definite integrals. Improper integrals.
Laboratories and/or exercises
Laboratories and/or exercises

These are supervised sessions in which students solve problems, either at the board or individually, under the supervision of a teacher.
Attendance is compulsory for all those who did not obtain a sufficient mark in the mathematics part of the admisssion test.
Bibliography

Bibliography

C. Canuto, A. Tabacco, Analisi Matematica 1, Springer 2005, Second Edition (complements can be downloaded from the site http://calvino.polito.it/canuto-tabacco/analisi_1 )
F. Fagnani, G. Grillo, Dispense di Analisi Matematica 1 (can be downloaded from the site http://calvino.polito.it/~fagnani/AnMat1/Anmat1.html )
Further information and additional exercises can be downloaded from the site http://calvino.polito.it/~terzafac





Programma definitivo per l'A.A.2008/09
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