ADDITIONAL LEARNING REQUIREMENTS OF MATHEMATICS

This course is offered to students who have received an "additional learning requirement (ALR)” in Mathematics based on the CISIA test. In particular, this course covers the basic skills which are prerequisites for Mathematics 1 and Mathematics 2. In addition to the students who are required to take the ALR test, students who need to refresh their basic knowledge in mathematics are also invited to attend.
To facilitate assistance and participation, we will make a lot of use of Moodle: https://moodle.unive.it/course/view.php?id=8352 .

1. Knowledge and comprehension goals:
1.1. understanding mathematical terminology and methodology;
1.2. understanding the properties of powers and logarithms;
1.3. recognizing different types of function;
1.4. understanding solution techniques for equations and inequalities.

2. Ability to apply that knowledge and comprehension:
2.1. ability to read and understand a mathematics textbook;
2.2. formalize mathematical statements and problems;
2.2. identify the goal of a given problem;
2.3. do the necessary calculations to solve a given problem.

3. Judgement skills:
3.1. interpret simple mathematical models;
3.2. analyze problems formalized in mathematical terms.

There are no prerequisites for this course.

- Elements and sets, subsets and operations between sets.
- Useful mathematical terminology: logical connectives; implication; quantifiers; definition; axiom; theorem.
- Natural numbers and integers. Rational and real numbers. Power properties. Logarithms and their properties. Algebraic expressions and polynomials. Percentages.
- Functions. Real functions of real variable. Composite, injective, surjective, inverse, monotone functions. Graph of a function. Transformations of function graphs. Linear, quadratic, exponential and logarithmic functions.
- Equations and inequalities: rational; irrational; with absolute value; exponential; logarithmic.
- Reference systems in the plane and in the space. Distance in the plane. Straight line, circumference, ellipse, hyperbola and parabola.

- Sydsæter K., Hammond P., Strøm A., Carvajal A. (2016) Essential Mathematics for Economic Analysis. Pearson. [Chapters 1, 2, 3 (without the subsection "Newton’s Binomial Formula" and the section 3.7), 4 and 5]
- Other teaching material may be referenced by the teacher during the course.

The written exam consists of 26 multiple choice questions. For each question there are 5 possible answers, of which only one is correct. A correct answer scores 1 point, a wrong answer scores -0.25 points, an unanswered question scores 0 points. A total score of 8 points or higher is considered a pass.

The course will be taught using:
a) frontal lessons;
b) practice exercises;
c) individual study.
Students are strongly encouraged to attend lessons actively, read over the relevant chapters of the textbook before coming to class, and complete the practice exercises after class.

English

This pre-course is coordinated with the course Mathematics 1 to strengthen the basic mathematical skills and background needed in that course.

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