Mathematical and physical tools for R&I engineers

This course is a refresher course in mathematics, with applications to physics in the context of communication systems.

Manager: Jean Augereau

Complexes

• Cartesian coordinates
• Polar coordinates, use in physics
• Moivre and Euler formulas
• Hyperbolic trigonometric

Function of a real variable

• Definition of a function, Definition domain
• Limits, Continuities, Derivatives, Series developments, Limited developments, L'Hospital's rule
• Variation table
• Graph
• Possible reciprocal function, injective functions, then bijective.
• Most common functions

Integral calculation

• Riemann integral
• Calculation methods: immediate primitives, decomposition into sums, linearization, compound functions, integration by parts, bijective change of variable.
• Primitives of rational fractions
• Linear differential equations of the first degree