Physics and Mathematics

Metrology. Measurement of a physical quantity. Samples and units of measurement. Historical evolution of units of measurement. The International System of units (SI). Legal metrology. Metrological institutes. The International Vocabulary of Metrology (VIM). Definitions. Uncertainty in Measurement: definition, its evaluation and propagation. Definition of electric current, electric field and electric voltage. Measurement of voltages and currents and related instrumentation. Power sources. Conductive, insulating and semiconducting materials. Ohm's law. Power. Energy. The capacitor. Study of simple electrical circuits. Industrial electrical quantities. Notes on electrical safety. Current in human body. Direct and indirect contacts. Safety in medical clinics. Measurements and instrumentation in orthopedics. Electro-medical equipment: metrological and safety characteristics. Medical devices. Builder. Traceability. Conformity marks.

Principles of mechanics: Forces and motion of the material point: kinematics, gravitational force, elastic force. Extended body: center of mass, free and bound extended body balance. Energetic: work, mechanical energy, power. Principles of Thermology: heat and heat transport, temperature, heat capacity and specific heat, thermal conductivity. Principles of thermodynamics. Fluids: static, dynamics of ideal (Bernoulli) and Newtonian fluids (Poiseuille). Viscoelastic materials, hints.

Numbers, operations between numbers, numerical sets and their properties, Cartesian product. Scientific notation. Algebra: literal calculus, monomials, polynomials, notable products, decomposition of polynomials, expressions, equations (definitions, principles of equivalence, I° equations, II° equations, fractional, literal and parametric, systems of equations with algebraic resolution, graphics resolution and meaning in the Cartesian plane); inequations (I° inequations, II° inequations, fractional). Definition of function, properties of functions; examples of functions: line, parabola, logarithmic and exponential functions; logarithmic and exponential equations. Function studies. Analytical geometry: limits of functions intuitive concept and formal definition, indeterminate shapes; the derivative of a function, definition and meaning, fundamental derivatives and theorems on derivatives; historical notes on integrals.

General concepts on the role of statistics in clinical studies. Observational and experimental clinical studies, association measures to evaluate disease risk factors and the effectiveness of therapies
Elements of descriptive statistics: frequency distributions, graphical representation and numerical summary measures (position and dispersion indices).
The Gaussian distribution and its role in statistical inference
Elements of inference: theoretical sampling distributions for means and proportions, confidence intervals and one-sided and two-sided hypothesis tests.