LOGIC AND MATHEMATICAL REASONING

This course is offered to students who have received an "additional learning requirement (ALR)” in Logics and Comprehension based on the CISIA test. In particular, this course covers the basic skills which are prerequisites of the INTRODUCTION TO TOURISM ECONOMICS AND SUSTAINABILITY, DATA ANALYSIS FOR TOURISM and INTRODUCTION TO BUSINESS ADMINISTRATION courses.

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.

The achievement by the students of learning outcomes is assesses by means of a written exam multi-choice test.

Lectures an practical sessions

English

written