The science of geology makes use of the known physical properties of rocks to interpret seismic data and to predict the risk of natural hazards. This course will show how the properties of rocks, from density to seismic wave velocities depend on the properties of the constituent minerals. The first part of the course will relate mineral properties to mineral structures. The second part of the course will show how these properties change with pressure and temperature, and how they can be measured.

During the course, students will also learn how to apply the following mathematical concepts and methods to determining and understanding crystal structures and properties:

• Scalars, vectors and matrices, and vector-matrix algebra

• The concept of measurement uncertainties (estimated standard deviations, probability density functions) and how to combine them to estimate uncertainties in a result

• Concept of significant digits

• Linear least-squares fitting of data, and evaluation of results

• Non-linear least-squares fitting of data, and evaluation of results

- Teacher: MATTEO ALVARO