Ateneo - UPO

Numbers and basic algebra. The real line. The cartesian plane. Curves in the plane. Plane and solid geometry, areas and volumes. Angles and their measurements, basics of trigonometry.

Any good high school mathematics book. For instance the “Blue book” by Bergamini et al
http://online.scuola.zanichelli.it/bergaminiblu/
The pdf file “Basi di Matematica” companion of the book Moduli di Matematica e Statistica, Invernizzi, Rinaldi, Comoglio, Zanichelli 2018

Goal of the lectures is to provide the students with the basic mathematical knowledge needed to follow adequately the course of Mathematics and Statistics.

The course is dedicated to students with a low score on the test of basic mathematics but any interested student is welcome to subscribe to the relevant DIR website.

Screencasts, quizzes, and online discussion board.

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.

15 questions on the course material. 1 point for every correct answer, -1/4 for wrong answers. Passing threshold 6

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. Distance of two points. Midpoint of a segment in the plane. Equation of the line in the plane.
Circle, ellipse, parabola and hyperbole. Solution of the second degree equation, vertex of a parabola. Factorization of y = ax^2 +bx+c. Characterization of the sign of y.
Plane and solid geometry: areas and volumes (rectangle, trapezoid, cube, cylinder, pyramid, sphere, cone).
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