Create an educational high-quality 3D animation video for BSc Mathematics students. The video should visually explain: Partial Differential Equations (PDE): Show vibrating strings and heat flow in a metal rod with mathematical notations like ∂u/∂t. Laplace Transform: A cinematic transition showing a complex calculus integral transforming into a simple algebraic equation (Time domain to Frequency domain). Fourier Analysis: Visualize a complex sound wave breaking down into multiple colorful simple sine and cosine waves. The style should be professional, similar to '3Blue1Brown', with dark background and glowing neon mathematical symbols. Include a narrator voiceover and smooth transitions between topics."