Lectures related to Complex exponentials: Oscillations and advantages

Covers the definitions and properties of complex numbers, including conjugate and modulus.

Explores complex numbers, Euler's formula, Moivre's formula, and proof by induction.

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

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

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

Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

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

Covers the definition of sine and cosine functions, their graphs, and notable points.

Covers the properties of complex numbers, including finding roots and factorizing polynomials.

Covers the Fundamental Theorem of Algebra, complex sequences, convergence, and continuity of functions.

Explores complex hyperbolic and trigonometric functions, defining key properties and relationships with exponential functions.

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

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

Explores complex numbers, trigonometric functions, De Moivre's formulas, and complex plane representation.

Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.

Explores the representation and rotation of complex numbers in the complex plane.

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

Covers the construction and properties of complex numbers, introducing the new constant 'i'.

Demonstrates how to determine the imaginary part of a complex number.