Complex exponentials: Oscillations and advantages

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Page 3 of 4

Introduces derivatives, trigonometry, and motion principles through basic and trigonometric functions differentiation.

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

Covers the resolution of triangles using trigonometric functions to find missing sides and angles.

Explores the cosine theorem in triangles, analyzing side and angle relationships.

Covers examples related to complex numbers and their properties.

Explores the properties and operations of complex numbers in mathematics.

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

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Covers the Fourier series and interactions between sine and cosine functions.