MATHEMATICS

Academic year
2023/2024 Syllabus of previous years
Official course title
MATHEMATICS
Course code
FOY02 (AF:494251 AR:274737)
Modality
Online
ECTS credits
12
Subdivision
B
Degree level
Corso di Formazione (DM270)
Educational sector code
NN
Period
1st Semester
Course year
1
Where
VENEZIA
Moodle
Go to Moodle page
The course offers an additional learning requirement in mathematics.
In particular, the course is aimed at recovering the basic skills necessary to attend the courses of Mathematics - 1 and Mathematics - 2.
In addition to the students with additional learning requirements, also the students who need to refresh their basic knowledge in mathematics are invited to attend.
1. Knowledge and understanding:
1.1. understanding the terminology and the methodology of mathematics;
1.2. understanding the properties of powers and logarithms;
1.3. recognizing the different types of function and their properties;
1.4. understanding the solution techniques for equations and inequalities.

2. Ability to apply knowledge and understanding:
2.1. understanding a textbook of mathematics;
2.2. formalizing mathematical statements and problems;
2.2. identifying the goal of a given problem;
2.3. making the necessary calculations to solve a given problem.

3. Judgement skill:
3.1. interpreting simple mathematical models;
3.2. analyzing problems formalized in mathematical terms.
The course is compulsory for students recommended by the School. No special prerequisites are required
- Terms and forms of mathematical language: logical connectives, implication, quantifiers; definition; axiom; theorem. Elements and sets. Subsets and operations between sets.
- Natural and integer numbers. Rational and real numbers. Percentages. Properties of powers. Logarithms and their properties. Algebraic expressions, polynomials and algebraic fractions.
- Equations and inequalities: rational, irrational, with absolute value;
- Equations and inequalities: exponential; logarithmic.
- Coordinate systems in the plane and in the space. Distance in the plane. Line and parabola.
- Circumference, ellipse, hyperbole.
- Functions. Composite and inverse functions. Real functions of real variables: monotone; periodic; even; odd.
- Graph of a function. Linear, quadratic, polynomial functions. Transformations of function graphs.
- Exponential and logarithmic functions.
- Basics of Trigonometry.
Teacher's slides

For functions and basics of Trigonometry
David Lippman and Melonie Rasmussen (2020)
Precalculus - An Investigation of Functions
http://www.opentextbookstore.com/precalc/
sections indicated by the teacher.

For basics of algebra et al.
https://www.khanacademy.org/math/
sections indicated by the teacher.
Assessment methods:
- 10% for participation.
- 60% for on-going tests.
- 30% for the outgoing test.
The course is articulated into:
a) lectures dual mode;
b) exercises carried out during the lectures;
c) individual study.
Students are strongly encouraged to actively attend classes.
The exercises to be done partially individually, partially in groups. The correction will be immediate, when possible.
written
Definitive programme.
Last update of the programme: 29/09/2023