Heat Transfer and Boundary Conditions

This lecture covers the fundamental concepts of heat transfer, including Fourier's law and heat balance equations. It also discusses boundary conditions for heat conduction problems in 1D and 2D, such as Dirichlet and Neumann boundary conditions. The lecture further explores eigenvalue problems and steady-state temperatures in square plates, as well as solutions for particle confinement in a box. The presentation concludes with a practical application using Wolfram Mathematica to visualize wave functions in quantum mechanics.