Vibratory Mechanics: Frequencies and Periodicity

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Cosine Theorem

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

Triangle Resolution: Trigonometric Functions

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

Conceptual Quiz and Discussion

Covers conceptual questions on change of variables, functions, derivatives, integration, and potential energy.

Functions Composition: Continuity & Elements

Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.

Trigonometric Functions: Arcsin and Arccos

Covers the definitions and properties of arcsin and arccos functions.

Spatial Base Solutions

Discusses spatial base solutions, boundary conditions, and the time-dependent diffusion equation.

Harmonic Oscillator: Complex Numbers and Solutions

Covers complex numbers, derivatives, and solutions of the damped harmonic oscillator with different damping regimes.

Spectroscopy Fundamentals

Covers the fundamentals of spectroscopy, including selection rules and transitions.

Fourier Series: Periodic Functions and Sine/Cosine Interactions

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

Continuity of Trigonometric Functions

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