BASIC MATHEMATICS

This course is positioned at the beginning of the degree programme and is intended to strengthen the basic mathematical knowledge required to successfully attend first-year courses. It is aimed at fulfilling additional learning requirements (OFA) and provides the essential tools to develop independent study skills and competencies that are useful for subsequent quantitative courses within the programme.

At the end of the course, students will have strengthened the basic mathematical knowledge needed to attend first-year courses successfully. In particular, they will be able to understand and use elementary symbolic language, handle algebraic expressions, equations, inequalities, and basic functions, and apply correct solution procedures to essential mathematical problems. Students will also have developed greater autonomy in study and in checking the correctness of the results obtained.

Knowledge of high-school level mathematics.

Set theory; numbers, properties, and operations.
Powers, roots, and absolute value.
Cartesian plane and the concept of function.
Elementary operations on functions and graph transformations.
Linear and quadratic functions.
- Polynomials, roots, polynomial division, and factorization.
- First- and second-degree equations and inequalities.
- Equations and inequalities involving absolute value.
- Rational and radical equations and inequalities.
- Exponential and logarithmic functions.
- Exponential and logarithmic equations and inequalities.
- Systems of equations and inequalities.
- Introductory elements of trigonometry.
- Trigonometric equations and inequalities.

Bergamini, M., Barozzi, G. e Trifone, A. (2022) Matematica.blu (vol. 1). 3a edizione. Bologna: Zanichelli
Bergamini, M., Barozzi, G. e Trifone, A. (2022) Matematica.blu (vol. 2). 3a edizione. Bologna: Zanichelli
Portaluri, A., Barbero, S. e Mosconi, S. (2022) Precorso di Matematica. Milano: Pearson
Zwirner, G. e Scaglianti, L. (1998) Funzioni in ℝ. Per il Liceo scientifico (vol. 1). Padova: CEDAM
Zwirner, G. e Scaglianti, L. (1998) Funzioni in ℝ. Per il Liceo scientifico (vol. 2). Padova: CEDAM

Students who have not fulfilled the OFA through the other available methods must demonstrate the understanding of the topics through a written test, which includes exercises and theoretical questions. The evaluation will consider the accuracy of the solutions.
Students who have fulfilled the OFA through the other available methods will not be required to take the written test.

written

The lecturer has a duty to ensure that the rules regarding the authenticity and originality of exam tests and papers are respected. Therefore, if there is suspicion of irregular conduct, an additional assessment may be conducted, which could differ from the original exam description.

The final assessment awards a pass/fail result, based on the achievement of the expected learning outcomes and on the ability to apply basic mathematical tools correctly.

Theory and exercises lectures.

Accommodation and support services for students with disabilities and students with specific learning impairments:
Ca’ Foscari abides by Italian Law (Law 17/1999; Law 170/2010) regarding support services and accommodation available to students with disabilities. This includes students with mobility, visual, hearing and other disabilities (Law 17/1999), and specific learning impairments (Law 170/2010). In the case of disability or impairment that requires accommodations (i.e., alternate testing, readers, note takers or interpreters) please contact the Disability and Accessibility Offices in Student Services: disabilita@unive.it.