Introductory discussion of significant length dimensions; different flow regimes, continuum, transition, collision-free; and a brief history of gas kinetic theory. Equilibrium kinetic theory; the article distribution function; Maxell-Boltzmann distribution. Collision dynamics; collision frequency and mean free path. Elementary transport theory, transport coefficients, mean free path method. Boltzmann equation; derivation, Boltzmann H-theorem, collision operators. Generalized transport theory; Maxwell's equations of change; approximate solution techniques, Chapman -Ensog perturbative and Grad series expansion methods, moment closures; derivation of the Euler and Navier-Stokes equations, higher-order closures. Free molecular aerodynamics. Shock waves.