Mathematics and Physics

Preliminary elements: physical quantities; unit of measure; scientific notation and orders of magnitude; significant figures; scalar quantities and vector quantities; operations with vectors (sum, subtraction, scalar product and vector product, decomposition). (2 h) + (2 h of exercises)

Kinematics: speed and acceleration (averages and snapshots); uniform straight motion; uniformly accelerated motion; uniform circular motion and harmonic motion; parabolic motion. (4 h) + (2 h of exercises)

Dynamics of the material point: the three principles of dynamics (with practical applications); examples of forces: weight force, elastic force, constraining force, friction force; momentum; moment of a force; levers. (4h) + (2 h of exercises)

Work and energy: definition of work; mechanical energy; kinetic energy and kinetic energy theorem; conservative forces; gravitational and elastic potential energy; conservation of mechanical energy and its applications. (4 h) + (2 h of exercises)

States of aggregation of matter: outline of intermolecular forces; qualitative description of gaseous, liquid and solid states. (2 h)

States and dynamics of liquids: pressure; Pascal's law; Stevino's law; principle of Archimedes; scope; Bernoulli theorem and its applications. (4 h) + (2 h of exercises)

Thermodynamics: heat and temperature; heat transmission mode; status changes; heat capacity and specific heat; particular transformations of a gas (isobars, isochores, isotherms and cyclics); equation of state of perfect gases; gas compression and expansion work; internal energy; first and second law of thermodynamics; thermodynamic cycles; efficiency of a thermal machine. (4 h) + (2 h of exercises)

Electricity: electric charge and Coulomb's law; electric field of a point charge; flow of the electric field and Gauss theorem; electrical potential and electric potential energy; continuous electric current; laws of Ohm; Kirchhoff's laws; resolution of electrical circuits. (4 h) + (2 h of exercises)

Magnetism: fundamental magnetic phenomena (current path, coil and solenoid). (4 h) + (2 h of exercises)

1. Theoretical Classes
- Samples and populations. Types of variables: qualitative, quantitative.. Absolute and relative frequency. (2 hrs)
- Diagrams and histograms, frequency distribution, cumulative frequencies, quartiles and percentiles. Box-plot. (2 hrs)
- Measures of central tendency: mean, median, mode. Measures of dispersion: range of variation, deviance, variance, standard deviation, coefficient of variation (2 hrs)
- Probability. Basic rules of probability. Discrete and continue probability distribution (2 hrs)
- Binomial distribution. Poisson distribution (3 hrs)
- Normal distribution. Standardization of a variable. Normalized standard distribution. Asymmetry and kurtosis (2 hrs)
- The central limit theorem. The sampling distribution of an estimate: the standard error. The confidence interval. Student's t-disdtribution (2 hrs).
- Verifying hypotheses. Null hypothesis and alternative statistical significance and P-value Error types I and II (2 hrs)
- Comparison between a sample mean and a population mean. Comparison between two sample means (2 hrs).
- The chi-square test. The chi-square distribution. The 2x2 contingency table (3 hrs)
- Relationship between variables: covariance. Correlation and linear regression. Regression analysis (4 hrs).
- Analysis of variance: the comparison between means of several groups:. The F-distribution (4 hrs)

2. Practical classes (Computer Classroom):
- descriptive statistics (2 hrs)
- normal distribution (2 hrs)
- correlation and regression (3 hrs)
- analysis of variance (3 hrs)
- confidence interval, comparion between means (3 hrs)
- χ2 test (3 hrs)