Lectures related to Euler's identity

Covers the demonstration of Euler's formula and its applications.

Explores the properties and graph of the natural logarithm function, emphasizing its bijectivity and the Euler's number 'e'.

Covers relative speed, Euler angles, and gyroscopic effects in rotating frames.

Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.

Explores AC circuits with impedance and reactance, analyzing phase shifts and complex variables in resistors, inductors, and capacitors.

Delves into complex exponential functions, their properties, and polar representation of complex numbers.

Covers the adimensionalization of equations, focusing on key parameters.

Covers the introduction and operations of complex numbers in physics and engineering applications.

Covers the representation of complex numbers and their properties, including Euler's and Moivre's formulas.

Covers the polar form of complex numbers and its applications in mathematical calculations.

Covers reversible continuous-time Markov chains and their properties.

Explains complex numbers in single-phase sinusoidal circuits and their geometric representation, Euler's formula, and complex exponential functions.

Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.

Explores complex numbers in polar form, Euler's formula, and coordinate transformation.

Covers the operations and representations of complex numbers, including the Cartesian and polar forms.

Explores the algebraic structure and properties of complex numbers, including Euler's and Moivre's formulas.

Covers solving equations over complex numbers, sequences, induction, and properties of complex numbers.

Explains the polar form of complex numbers and Euler's formula in the complex plane.

Covers De Moivre's formula for finding roots of complex numbers and the concept of complex exponential.

Explores Taylor series, convergence criteria, and applications in calculus.