This fundamental course aims to familiarize the students with the basic principles of heat transfer, and transport coefficients. The students will then be able to apply their knowledge to design and analyze different thermomechanical systems of varying complexity. Topics to be examined include Fourier's law, Newton's law of cooling, Stefan-Boltzmann law, conservation of energy, one-, two- and three-dimensional steady-state conduction, transient conduction, fundamentals of thermal radiation and convection, forced convection, external and internal flows, heat exchangers, - etc.