Course program
Introduction:
Fundamental and derived physical quantities. International System, units of measurement, their multiples and submultiples. Dimensions and dimensional equations.
Elements of measure theory:
Systems of units of measure.
Errors and uncertainties. Systematic errors and random errors.
Sensitivity, precision and accuracy of measurements and instruments.
Probabilistic meaning and use of statistical elements. Standard deviation of a measurement.
Absolute and relative uncertainties.
Indirect measurements of a physical quantity: propagation of the uncertainties of indirect measurements.
Comparison of measures.
Graphical representation of measurements: linearization of functions of physical quantities.
Laboratory experiences with assisted statistical processing of experimental data:
Laboratory experience n.1: Measurement of pi
Laboratory experience n.2: Measurement of specimens' density
Laboratory experience n.3: Elastic constant of a spring
Laboratory experience n.4: Pendulum
Laboratory experience n.5: Torsion pendulum
Laboratory Experience n.6: Calorimeter
Attending laboratory experinces is mandatory. Only students who have submitted at least 5 laboratory reports reports are eligible for grading.
Prerequisites
Requirements:
Mathematics is the language used to express physical principles and physical models thus it is an integral part of physics. It is also a tool for analyzing theoretical models, solving quantitative problems and making predictions. In order to fully understand the contents of the Physics I course, students are required to meet the following requirements:
General main notions of trigonometry. [important]
Elementary vectors operations: sum and difference of two vectors (graphic method and analytical method), scalar product (dot product), vector product (cross product). [mandatory]
Differential calculus: functions of a variable, the main elementary functions and their derivatives; functions of two variables, partial derivative. [mandatory]
Integral computing notions: primitive functions of a function f (x), elemental indefinite integrals less than an arbitrary constant, boundary conditions. [mandatory]
Differential equations. [important]
Books
The course topics are covered in the Physics I textbooks (Mechanics and Thermodynamics), which are used in Engineering faculties.
Frequency
Students can attend the first theory lessons online, but attendance of laboratory experiences is mandatory.
Exam mode
The exam will focus on the evaluation of written reports of laboratory experiences.
Lesson mode
Lectures takes place in the Sapienza Physics Laboratory (Via del Castro Laurentiano). Classes are held once a week (one 3-hour lesson). After the initial introductory and theoretical lessons (typically 3 lectures), students will complete 6 laboratory experiments, working in groups of 2/3 students and using the experiment kits to gain autonomy with instruments. After each laboratory experience, students must submit a report to describe the measurement.