Lectures related to Complex Numbers: Polar Form

Complex Numbers: Properties and Operations

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

Complex Numbers: Operations and Properties

Explores complex numbers, including modulus, conjugation, and Euler formula.

Absolute Value and Complex Numbers

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

Complex Numbers: Introduction and Operations

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

Complex Numbers: Polar Form

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

Complex Numbers: Roots and Equations

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

Complex Numbers: Representation and Properties

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

Euler's Formula Demonstration

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

Complex Numbers: Polar Form, Powers, Roots

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

Harmonic Forms: Main Theorem

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Complex Numbers: Exponential Formulas

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

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.

Gaussian and Polar Representations

Covers the concepts of complex numbers, orientation, and transformations.

Complex Logarithm: Extension and Polar Form

Covers the extension of the logarithm to complex numbers and explores the relationship with trigonometric functions.

Complex Numbers: Representations and Rotations

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

Complex Numbers: Trigonometric Formulas

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

Complex Numbers: Polar Form

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

Complex Numbers: Operations and Representations

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

Coordinate Systems: Applications and Transformations

Explores coordinate systems, including polar and curvilinear coordinates, and their transformations.

Complex Numbers: Properties and Applications

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