This course examines the three heat transfer mechanisms - conduction, convection and electromagnetic radiation. Solutions are obtained for one dimensional steady heat conduction through composite, plain and tubular walls, including with internal heat generation. Analytic and numerical solution techniques for non-steady conduction are also studied. The Reynolds' analogy is introduced to link forced convective heat transfer with momentum transfer in laminar and turbulent boundary layers. Free convection, in which heat transfer itself induces its own buoyant flow is then considered. The radiative emission characteristics of black and grey bodies are examined and radiative heat transfer between such bodies is analysed.