LOGIC AND MATHEMATICAL REASONING
- Academic year
- 2021/2022 Syllabus of previous years
- Official course title
- LOGIC AND MATHEMATICAL REASONING
- Course code
- CT9000 (AF:364095 AR:193038)
- Modality
- On campus classes
- ECTS credits
- 0
- Degree level
- Bachelor's Degree Programme
- Educational sector code
- NN
- Period
- Annual
- Course year
- 1
- Where
- VENEZIA
- Moodle
- Go to Moodle page
Contribution of the course to the overall degree programme goals
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.
Expected learning outcomes
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.
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.
Pre-requirements
There are no prerequisites for this course.
Contents
- 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.
- 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.
Referral texts
- Sydsæter K., Hammond P., Strøm A., Carvajal A. (2016) Essential Mathematics for Economic Analysis. Pearson.
Assessment methods
Written exam multi-choice test
Teaching methods
Lectures an practical sessions
Teaching language
English
Type of exam
written
Definitive programme.
Last update of the programme: 14/10/2021