Entry Requirements

Bachelor's Degree Programmes in Engineering

Mathematics

Integer, rational and real numbers and their properties. Absolute value. Powers and roots. Manipulation of algebraic expressions. Polynomials (factorization and other operations). Algebraic equations and inequalities of (or reducible to) the first and second degree. Simultaneous linear equations. Equations and inequalities involving roots. Exponentials and logarithms. Exponential and logarithmic equations and inequalities.

Basic elements of combinatorics, statistics and probability.

Segments and angles; their measurement and properties. Lines and planes. Simple geometrical loci. Simple plane figures (triangles, circles, regular polygons etc), their lengths, areas and other properties. The principal solids (spheres, cones, cylinders, prisms, parallelepipeds, pyramids etc), their volumes and surface areas.

Cartesian coordinates. Concept of a function. Equations of lines and simple loci (including circles, ellipses, parabolas). Graphs and properties of elementary functions (powers, logs, exponentials etc). Working with logarithms. Equations and inequalities involving logs and exponentiation.

Graphs and properties of the sine, cosine and tangent functions. The main trigonometric formulae. Trigonometric equations and inequalities. The relationship between the sides and angles of a right triangle.

Physics

Vector and scalar quantities, measuring a physical quantity and units of measurement; definition of the fundamental physical quantities (displacement, velocity, acceleration, mass, momentum, force, weight, work and power); Newton's laws, inertia and the principle of action and reaction.

The concept of temperature, heat, specific heat, compressibility and the equation of state of an ideal gas; basic understanding of the principles of thermodynamics.

A basic understanding of electrostatics (Coulomb's law, the electrostatic field and capacitors), and of magnetostatics (measuring current, Ohm's law and the magnetic field). Also a basic idea of electromagnetic radiation and its propagation.

Bachelor's Degree Programme in Design and visual communicationThe questions aim to verify the applicant’s ability to critically deal with

The questions tend to inquire the sensitivity and the interest of the candidates to the issues of environmental sustainability (such as the life cycle of products / services and reduction of environmental impact for the pursuit of a sustainable development), technological culture (knowledge about how and why we make the products in relation to their social use and how to understand the form / function / materials), the history of the project (history of architecture, design, visual communication and graphic design, knowledge of the historical placement of buildings, products and graphics), and representation (ability to relate the spatial objects with their representation - two-dimensional and three-dimensional - and to verify the minimum knowledge of the chart-technical language codes) without requiring specific knowledge related to the course’s topics.

To access the test is recommended to use as a test training course materials on line for the area of Architecture.

To train yourself to test so you can download the guides in the entrance exam in previous years; also registering on the website of the Apply@Polito you can train yourself to the test through the simulator and other teaching materials.

Bachelor's Degree Programme in Territorial, urban, environmental and landscape planning

The test is divided into four parts.

The questions require to show aptitude for logical-abstract thinking, to complete a logical consistent reasoning pertinent with the premises which are set out in numerical, symbolic or verbal way. The questions related to mathematics involve knowledge of sets of numbers, calculus (natural, relative, rational and real numbers, sorting and comparing of numbers, orders of magnitude, operations, powers), algebra, fundamentals of probability and statistics.

Questions will focus on understanding Italian scientific essays or classical or contemporary author's fiction, or on topical texts appeared in newspapers, generalist or specialist magazines. rational and real numbers, sorting and comparing of numbers, orders of magnitude, operations, powers), algebra, fundamentals of probability and statistics.

The questions will be related to the fields of history, geography, literature, art, music and current events. The questions have been designed to highlight the existence of minimal cultural basis for candidates who aspire to get a bachelor degree, therefore no special knowledge will be required in each of these areas. rational and real numbers, sorting and comparing of numbers, orders of magnitude, operations, powers), algebra, fundamentals of probability and statistics.

4

The questions are used to verify the ability to deal with problems related to the use of the territory and its interferences with the economic and social life. Therefore, without requiring any special knowledge, questions tend to determine whether candidates possess sensitivity to the institutions, the political economy, the city and environmental problems. rational and real numbers, sorting and comparing of numbers, orders of magnitude, operations, powers), algebra, fundamentals of probability and statistics.

To access the test is recommended to use as a test training course materials on line for the area of Architecture and Engineering. To train yourself to test so you can download the guides in the entrance exam in previous years; also registering on the website of the Apply@Polito you can train yourself to the test through the simulator and other teaching materials.

Architecture

In order to be admitted to courses, students are expected to have sufficient general knowledge, with special focus on history, social sciences and institutions, together with the ability to work with different written texts (in the domains of art, literature, history, sociology philosophy, etc.), and the aptitude to abstract reasoning, both in mathematics and languages.

**General knowledge and abstract reasoning (logic)**

**History**

- Assessment of the ability to complete a logical argument in a way consistent with assumptions that are stated symbolically or verbally through multiple-choice questions.
- The questions will focus on scientific texts or narrative essays of classical or contemporary authors, or current cuttings from newspapers or more specialized journals; they will concern cases or problems, possibly of an abstract nature, whose solution calls for various forms of logical argument.
- The evaluation will be completed by questions on general cultural knowledge.

The test aims to assess a consistent chronological understanding relating to the main individuals and events of historical significance (from antiquity, the early and late middle ages, and the modern and contemporary periods). Such an understanding will also be judged by the candidate's knowledge of specific developments in art and architecture (i.e. architectural styles or artistic movements).

The test aims to assess knowledge of the capacity to analyse graphics, design, and iconic drafting or correspondences with the objects in question, by the mastery of elementary methods (plans, elevations, axonometric projections).

The test aims to assess mastery of the following topics:

- Sets of numbers and arithmetic (natural and negative numbers, rationals, reals; the ordering and comparison of numbers; orders of magnitude, operations, powers, roots, logarithms); algebra, Euclidean geometry (polygons, circles, lengths, surface and volume, geometric loci), analytic geometry (basics), probability and statistics (basics);
- Elementary principles of mechanics: definitions of the fundamental physical quantities (displacement, velocity, acceleration, mass, momentum, force, weight, work and power); Newton's laws, inertia and the principle of action and reaction;
- The basics of thermodynamics (general concepts of temperature, heat, specific heat, compressibility).

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