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Mathematics and statistics term 1
Code: G280PA
Teacher:  Paola Morando
Year: 
Term: 
CFU: 
CFU subdivision: Lectures: 3,5
Practices in classroom: 2,5
Basic aims:  Knowledge of the basics of Maths, in particular, of elementary
Calculus (real functions in one variable, limits, derivatives,
integrals).Knowledge of descriptive statistics. Knowledge of the
position and variability indicators. Knowledge of methods of
inferential statistics. Acquisition of the principles and techniques of
regression and correlation between various parameters.
Acquired skills:  Possibility of exploiting the basic tools of Maths in any context.
Describe the phenomena by the main statistical indicators; plan
sample surveys; use the methodology of the analysis of variance
at 1 and 2 factors; understand the results of statistical surveys.
Course contents:  Integer numbers, rational numbers and real numbers.
Coordinates systems, element of analytic geometry, straight
lines, circumferences, parabolas. Elementary functions and
their graphics: exponential, logarithmic and trigonometric
functions. Equations and inequalities: of I and II degrees,
fractional, logarithmic, trigonometric and exponential, systems
of inequalities. Real functions: -Definition of relations and
function -Limits -Continuity -Derivatives: geometrical meaning,
rules of differentiation, relative maxima and minima, -
Asymptotes -The study of a function of one real variable.
Integration: -primitives of a function, the indefinite integral -
the definite integral and the calculus of plane areas -the
fundamental Theorem of Integral Calculus
Program:  Integer numbers, rational numbers and real numbers. Coordinates
systems, element of analytic geometry, straight lines,
circumferences, parabolas. Elementary functions and their
graphics: exponential, logarithmic and trigonometric functions.
Equations and inequalities: of I and II degrees, fractional,
logarithmic and exponential, systems of inequalities. Real
functions: -Definition of relations and function -Limits -Continuity
-Derivatives: geometrical meaning, rules of differentiation,
relative maxima and minima, -Asymptotes -The study of a
function of one real variable. Integration: -primitives of a function,
the indefinite integral -the definite integral and the calculus of
plane areas -the fundamental Theorem of Integral Calculus
Prerequisites:  None.
Preparatory instructions:  None.
Learning materials:  agrimat e matematica assistita reperibile al link
http://ariel.ctu.unimi.it/corsi/mateassistita

Matematica sul campo. Con aggiornamento online
di Silvia Annaratone
Editore: Pearson
Collana: Matematica
Data di Pubblicazione: ottobre 2017
EAN: 9788891901422
ISBN: 8891901423
Other info:  Only students which are regularly registered using SIFA will be
admitted to the exam.
The final examination consists of a written and an oral part.
Both of them are mandatory. Only students who have been
approved (with a mark of at least 18/30) in the written
examination will be admitted to the oral part.
The written examination is designed to test computational
skills, while during the oral part the theoretical understanding
of the different topics discussed during the course will be
checked.
The written examination is organized in three parts: the first
one, called Part A, lasts 30 minutes and is composed by 10
open questions about basic mathematics. The questions,
extremely simple, aim at evaluating if the student possesses
the minimal requirements to approach a university math’s
curse.
The Part A is passed if the student answer correctly to at least
8 question (over 10). Passing Part A is a necessary (but not
sufficient!) condition to pass the written examination. The
second part, or Part B, will last 1.30 hours and will be make of
open exercises about math topics, while the third and last part,
Part C, will consist in open questions about statistics.
The written examination will be passed if all of the three parts
will be passed: the first one with at least 8 over 10, the second
one (Maths) with at least 11 over 18, and the last part
(Statistic) with at least 7 over 12. The final score will be
obtained adding the scores of Maths (part B) and Statistics
(part C). The score of the first part (if passed) does not
contribute to the final score of the written examination.
During the first two parts (Part A and Part B) the use of
calculator is not allowed, while a non-programmable calculator
can be used in the third part.
DOWNLOAD
Program of Mathematics and statistics term 1 (pdf version)
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