PREPARATORY COURSE ON MATHEMATICS

The course is suggested to students keen to review basic math principles before starting the courses of the Chemistry and Sustainable Technology curriculum, of the Science and Technologies for Cultural Heritage curriculum and of the Engineering Physics curriculum. In particular, the course is strongly suggested for students that have mandatory additional credits (OFA).

The module aims at synthetically reviewing basic math skills, acquired during the first 3-4 years of the secondary school with the goal of completing successfully activities of the first year of the Degree.

Exercises from previous tests will be analyzed.

Knowledge and understanding
- Properties of numbers (natural, integer, rational, real) and of operations;
- Principles for solving polynomial, exponential, logarithmic, trigonometric, irrational equations and inequalities;
- Properties of elementary functions.

Applying knowledge
- Handling of expressions with power elevation, exponential, logarithm, trigonometric functions;
- Solving polynomial, exponential, logarithmic, trigonometric, irrational equations and inequalities equations and inequalities;
- Plotting graph of elementary functions.

Evaluation ability
- Self evaluation of own preparation through tests.

Basic math principles of intermediate school level

ALGEBRA

-Properties and operations with numbers (natural, integer, rational, real);
-Absolute value;
-Power of a number, root;
-Logarithm and exponential;
-Division and factorisation of polynomials;
Linear and second order equations and inequalities;
-Equations and inequalities with ratio and powers;
-Equations and inequalities with exponential and logarithm.
-Systems of equations and inequalities.
-Equations and inequalities with exponential and logarithm.

FUNCTIONS

-Cartesian coordinate system;
-Definition of function;
-Linear and second grade functions
-Elementary functions (power law, logarithm, exponential, etc.).

TRIGONOMETRY

-Properties and graph of sine, cosine and tangent functions.
-Fundamental trigonometric relations (sum, duplication, etc.)
-Trigonometric equations and inequalities.

Course material provided through the moodle platform.

No final exam for this specific course. Students with OFA must repeat the TOLC-I test.

- Front lectures;
- Exercise sessions in class;
- Exercise sessions using smartphone applications allowing student-teacher interactions;
- Self-evaluation tests in moodle online learning platform.

Italian

At the end of [CT0110] AHEAD-MATHEMATICS GENERAL there will be an optional self-assessment test. Passing this test may entitle you to bonus points for the courses [CT0560] CALCULUS I for the Bachelor's Degree programme [CT8] ENGINEERING PHYSICS and [CT0522] MATHEMATICS AND EXERCISES - 1 for the Bachelor's Degree programmes [CT7] SUSTAINABLE CHEMISTRY AND TECHNOLOGIES and [CT60] SCIENCE AND TECHNOLOGIES FOR CULTURAL HERITAGES, according to the procedures described in the syllabus of these courses.

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.

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