This section of the course deals with laminar boundary layers. We will examine the most important mathematical solution for this problem, the socalled Blasius solution. The full solution for this case requires numerical solution, which you will undertake in Problem Sheet 3153-1. Section 3 discusses the mathematical aspects of this problem, whilst section 4 gives a brief overview of the Runge-Kutta method you will use to do this. Section 1 outlines the properties of boundary layers, whilst section 2 analyses the case of the boundary layer formed close to a moving plate - a case that is easier to solve analytically than that of the Blasius problem.