# Geometric optics and point mechanics

## Objectives

- Gauss's approximation, nature of objects and images, properties of optics elements
and apparatus.
- Principles of relativity, kinematics and dynamics. Newton's law. Force and
energy.
The student will be able to:
- Assemble simple optics elements to form an apparatus. Draw geometrical constructions
of images through several optics elements. Use formulas to calculate the size and
positions of images.
- Derive the expressions for position, speed and acceleration vectors in the main
systems of coordinates; derive the mathematical expressions for the main forces;
understand and apply Newton's laws in order to derive the equation of motion for a point mass;
understand and use the theorem of kinetic energy.

## Needed prerequisite

- Methods of resolution of linear differential equations of first and second order.
- System of coordinates Cartesian, cylindrical and spherical.

## Form of assessment

The evaluation of outcome prior learning is made as a continuous training during the semester. According ot the teaching, the assessment will be different: as a written exam, an oral exam, a record, a written report, peers review...