COMPUTER SKILLS II
cod. 1004684

Academic year 2017/18
2° year of course - First semester
Professor
- Adriano TOMASSINI
Academic discipline
Informatica (INF/01)
Field
Inglese scientifico e abilità linguistiche, informatiche e relazionali, pedagogia medica, tecnologie avanzate e a distanza di informazione e comunicazione
Type of training activity
Characterising
14 hours
of face-to-face activities
2 credits
hub: PARMA
course unit
in - - -

Integrated course unit module: LINGUISTICS SKILLS AND COMPUTER SKILLS II

Learning objectives

Give the bases of calculus for functions of one real variable, in such a way that the students are able to solve simple problems in the field. Students should be able to draw and read graphs of functions of one variable, to study functions of one real variable and to compute elementary integrals.

Prerequisites

Mathematics taught in high schools

Course unit content

Real numbers, elementary algebra, equations and inequalities. Functions and their graphs, elementary functions. The principle of induction. Maximum, minimum, supremum and infimum of sets of real numbers. Limits of sequences and of functions of a real variable. Continuity, derivatives, primitives and their properties. Integrals of continuous functions over intervals. Study of the graphs of functions of one real variable.

Full programme

1.1. Real numbers.
1.2. Functions and their graphs.
1.3. Operations between functions.1.4. Polynomials, rational and trogonometric functions.
2.1. Limits.
2.2. Continuos functions.
2.3. Theorems on continuos functions.
3.1. derivatives and tangent lines.
3.2. Rules of differentiation.
3.3. Derivatives of elementary functions
3.4. Exponential and logarithm functions.
3.5. Graph of functions.
4.1. Riemann integrals.
4.2. Fundamental Theorem od calculus. Definite integrals.
4.3. Indefinite integrals and methods of integrations.

Bibliography

P. Marcellini, C. Sbordone: Calcolo, Liguori Editore
A. Nannicini, L. Verdi, S. Vessella: Note ed esercizi svolti di Calcolo 1, Pitagora Editrice

Teaching methods

Lectures and exercises in the classroom

Assessment methods and criteria

The examination consists of a written test.

Other information

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