Metrology

But du cours

To be able to present the result of a measurement while indicating the confidence that can be placed in the measurement process

Acquis d'apprentissage visés

• Know the units of the International System of Units (SI).

• Know the symbols of SI units and dimensions.

• Know the symbols of dimensions.

• Know how to write a dimensional equation.

• Know how to verify the validity of a relationship up to a constant.

• Know the multiples and submultiples of the SI and their symbols.

• Know how to perform conversions between multiples and submultiples.

• Know the definitions of common units.

• Know how to perform unit conversions.

• Know how to interpret a scale indication.

• Know how to choose an appropriate scale for plotting a graph.

• Know how to use scientific notation.

• Know how to identify the number of significant figures.

• Know how to identify the term "reference value."

• Know how to define accuracy, precision, and trueness.

• Know how to identify random and systematic errors.

• Know how to define uncertainty and confidence level.

• Know how to validate a measurement process by comparison to a standard.

• Know how to discuss a result in comparison to an interval.

• Know how to read values from a .csv file.

• Know how to process values from a .csv file.

• Know how to plot a graph from .csv data.

• Know how to insert a trend line.

• Know how to understand a sorting algorithm.

• Know how to write a sorting algorithm.

• Know how to numerically compute an integral.

• Know how to numerically compute a derivative.

• Know how to solve a differential equation using Python.

• Know how to compare two numerical integration methods.

• Know how to compare two methods for solving differential equations.

• Understand the steps of the Monte-Carlo algorithm.

• Know how to write a Monte-Carlo uncertainty propagation algorithm.

• Know how to compute a mean and standard deviation using Python.

Programme

1. Units and Dimensions

• The International System of Units (SI).

• Dimensional equations.

• Multiples, submultiples, and conversions.

• Common units.

1. Uncertainties

• Measurement.

• Measurement errors and uncertainties.

• Method for evaluating the standard uncertainty.

• Expanded uncertainty and confidence interval.

• Presentation of a result.

1. Numerical Data Handling

• Using Python and csv files for data manipulation.

• Calculating mean and standard deviation.

• Uncertainty propagation using the Monte-Carlo method.

Modalités d'évaluation

Written exam: 2.0h - Coefficient: 1.0 Written exam: 2.0h - Coefficient: 1.0

Supports

Materials available on the Moodle platform.