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)

Lectures
Significant figures, scientific notation, rounding numbers (1 hour)
Percents, ratios, fractions, proportions (1 hour)
Linear and quadratic equations (2 hours)
Systems of linear equations (1 our)
Functions, derivatives and graphic representation (1 hour)
Populations and samples. Type of statistic variables. Absolute and relative frequencies. Frequency distributions (3 hours)
Descriptive statistics: Mean. Median. Mode. Measures of dispersion: deviance, variance, standard deviation, coefficient of variation, range (2 hours)
Probability. Probability distributions (2 hours)
Comparing proportions. Binomial distribution. Poisson distribution (2 hours).
Normal distribution: Standardized variable (z), standard normal distribution table,. Asimmetry and kurtosis (3 hours)
Sampling distribution of a mean. The confidence interval of a mean. The sampling distribution of a proportion. Student's t-distribution. Comparison between two means (4 hours)
Hypothesis testing: Type I and TYPE II errors (2 hours)
The Chi-squared test. Contingency tables (2 hours)
Covariance. Correlation. Linear regression. (3 hours)
Analysis of variance (ANOVA): partioning of total sum of squares. The F-test. (2 hours)
Practice
- mathematics (2 hours)
- descriptive statistics (2 hours)
- normal distribution (2 hours)
- correlation and regression (2 hours)
- analysis of variance (2 hours)
- sampling distribution (3 hours)
- proportion, Chi-squared test (3 hours)