Complex Numbers: Trigonometric Formulas

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Explores different ways to represent complex numbers, including geometric and trigonometric representations, simplifying calculations and enhancing intuition.

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Explores trigonometric addition theorem, double angles, and tangent properties.

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Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.

Complex Numbers: Convergence, Equations, and Exponential Functions

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

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Provides a Python crash course covering basic arithmetics, complex numbers, strings, lists, dictionaries, and more.

Complex exponentials: Oscillations and advantages

Explores the use of complex exponentials to simplify trigonometry and algebra in digital systems.

Complex Exponential: De Moivre's Formula

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

Continuity of Trigonometric Functions

Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.

Complex Numbers: Operations and Polar Form

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.