An alternative example of the method of multiple scales is presented. This
example arises in the study of the classical heat equation with a slowly va
rying flux imposed at one end. The module presents introductory ideas about
dimensionless variables, multiple-scale expansions, and scaling of the dep
endent variable. The necessarily obfuscating algebraic computation is less
than that for more familiar multiple-scale examples, such as the perturbed
oscillator. The results are analyzed for both their physical and mathematic
al importance.