L1 Minor Physics Choice 1

The main objective of this course is to teach you how to pose and solve simple physics problems. The areas of application are point particle mechanics and geometric optics.

Mechanics of the material point:

• Statics: study of mechanical systems in equilibrium.
• Kinematics: the study of the motion of bodies independently of the causes that produce it.
• Dynamics: links between the causes of motion and motion itself.
• Work and energy: work done by forces (conservative and non-conservative), kinetic energy theorem, mechanical energy theorem, and their applications.

Geometric optics:

• Propagation of light (Fermat's principle, Snell-Descartes laws, refractive index)
• Image formation and optical systems (stigmatism, Gaussian approximation, mirrors, thin lenses, dispersive systems, centered systems, optical instruments).

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This course is an introduction to linear algebra (formalized in S2) based on intuition derived from plane and space geometry. It includes an introduction to matrix calculus.

The EU is also introducing the basic language of polynomials.

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This unit aims to cover plane geometry, its objects, and proofs. The unit also aims to introduce complex numbers. The geometry and complex numbers sections each represent half of the unit.

- objects of plane geometry: points, lines, vectors, angles, circles, triangles, etc.

- geometric transformations of the plane: symmetries, homotheties, rotations, translations.

- work on mathematical proof

- introduction to complex numbers, geometric interpretation, calculations with complex numbers

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The aim of this course is to clarify the concepts of limits of sequences and functions, to deepen the study of sequences and functions, to study the concepts of continuity and differentiability of functions, and to introduce the main "usual" functions.

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