Ateneo - UPO

The course covers the following main topics:
Numbers and Basic Algebra: The real line. The cartesian plane. Curves in the plane.
Plane and Solid Geometry: Areas and volumes.
Basics of Trigonometry: Angles and their measurements.

Any good high school mathematics book is recommended. For instance:
The "libri blu" by Bergamini et al. (http://online.scuola.zanichelli.it/bergaminiblu/).
The PDF file “Basi di Matematica” coming with "Moduli di Matematica e Statistica" di Invernizzi, Rinaldi e Comoglio, Zanichelli 2018.

This course is designed to provide or review the fundamental mathematical knowledge necessary to successfully undertake the Mathematics and Statistics course.

It is particularly recommended for students who have shown deficiencies in the basic mathematics knowledge test, but it is open to all.

Lectures consist of screencasts with included quizzes. Material is published on the DIR website, where additional quizzes and a discussion board are also available.

Material and Forum are provided on the DIR website (of the course - Elementi Propedeutici di Matematica)
Students with physical disabilities, Learning Disabilities or Special Education Needs can request specific services and tools via the Staff Sviluppo e Coordinamento Carriere e Servizi alle Studentesse e agli Studenti, consulting the University webpage: https://www.uniupo.it/en/services/services-students-physical-or-learning-disabilities
Students with disabilities, learning disabilities or special education needs, once they have contacted the University Staff, can refer to the tutor in charge of the course to define the examination modalities, concerning academic aspects.

Learning will be assessed through a test on the DIR website consisting of 15 questions with 5 answers on the course material. Each correct answer is worth 1 point, while each wrong answer results in a penalty of -1/4 point. A score of 6 points is required to pass the test.

The detailed program includes:
Numbers and Basic Algebra:
Numbers. Decimal representation.
Scientific notation and number of significant digits.
Roots and powers with integer and rational exponent.
The real line. Intervals.
Distance between points and midpoint of a segment.
Simple equations and inequalities.
The absolute value.
The Cartesian plane.
Coordinates of a point.
Equation of the line in the plane.
Circle, ellipse.
Solution of the second degree equation, factorization of y=ax^2+bx+c.
Parabola, vertex and sign.
Hyperbole.
Plane and Solid Geometry:
Areas and volumes (rectangle, trapezoid, cube, cylinder, pyramid, sphere, cone).
Trigonometry and Functions:
Coordinates on the circle, angles and their measurement in degrees and radians.
Cosine and Sine. The number pi.
Elementary table of values of sine and cosine.
Addition and duplication formulas.
Solving triangles with circular functions.
Periodicity. Graphs of sine and cosine.
Tangent function.
Functions: powers, logarithmic and exponentials functions.

We expect the student to be able (in case the logic skills test is also passed) to follow in an efficient way the course of Mathematics and Statistics