This document discusses several methods for approximating solutions to the Navier-Stokes equations (NSE), including nondimensionalization, creeping flow, inviscid flow, irrotational flow, and potential flow. It explains how these approximations simplify the NSE by removing terms to create linear, analytically solvable forms. Elementary flows like source/sink, vortex, and doublet are introduced that can be combined using superposition to model more complex flows.