Complex Numbers: Algebraic Structure

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Complex Exponential: Properties and Formulas

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

Complex Numbers: Definitions and Properties

Covers the definitions and properties of complex numbers, including the field of complex numbers, the conjugate, the real and imaginary parts, algebraic form, modulus, and argument.

Euler's Formula Demonstration

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

Single-Phase Sinusoidal Circuits: Complex Numbers

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

Complex Numbers: Properties and Applications

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

Riemann Sums and Definite Integrals

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Complex Numbers: Polar Representation

Explores the polar representation of complex numbers and its applications.

Complex Numbers: Polar Form and Multiplication

Covers the polar form of complex numbers and its advantages in multiplication.

Analysis I Exam 2022

Covers the correction of a mock exam for Analysis I, focusing on sequences, series, and limits.

Complex Exponential: De Moivre's Formula

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