Lectures related to Complex Numbers: Exponential Formulas

Complex Numbers: Properties and Operations

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

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

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

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Complex Numbers: Representations and Rotations

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

Trigonometric Formulas

Covers examples of trigonometric, logarithmic, and exponential functions, focusing on solving equations and applying trigonometric identities.

Trigonometric Functions: Examples

Covers examples of trigonometric, logarithmic, and exponential functions.

Complex Numbers: Polar Form

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

Complex Hyperbolic and Trigonometric Functions

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

Complex Numbers: Introduction and Operations

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

Differential Equations: Coefficients and Methods

Discusses methods for solving differential equations, focusing on undetermined coefficients and variation of constants.

Complex Numbers: Trigonometric Formulas

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

Complex Numbers: Imaginary Part

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

Complex Numbers: Properties and Applications

Explores properties and applications of complex numbers, including De Moivre's theorem and finding complex roots.

Examples: Complex Numbers

Covers examples related to complex numbers and their properties.

Complex Numbers: Convergence, Equations, and Exponential Functions

Covers convergence of power series, complex equations, exponential functions, and function properties.

Trigonometry Equations

Covers solving trigonometric equations and finding solutions on the unit circle.

Complex Numbers: Definitions and Applications

Explores complex numbers, arguments, modules, and polynomial equations with complex coefficients.

Complex Numbers: Roots and Equations

Explores complex numbers, roots, equations, and polynomial factorization with real coefficients.

Triangle Resolution: Trigonometric Functions

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