  We develop a flexible quasiparticle theory of transport coefficients of hot
hadronic matter at finite baryon density. We begin with a hadronic
quasiparticle model which includes a scalar and a vector mean field.
Quasiparticle energies and the mean fields depend on temperature and baryon
chemical potential. Starting with the quasiparticle dispersion relation, we
derive the Boltzmann equation and use the Chapman-Enskog expansion to derive
formulas for the shear and bulk viscosities and thermal conductivity. We obtain
both relaxation time approximation formulas and more general integral
equations. Throughout the work, we explicitly enforce the Landau-Lifshitz
conditions of fit and ensure the theory is thermodynamically self-consistent.
The derived formulas should be useful for predicting the transport coefficients
of the hadronic phase of matter produced in heavy-ion collisions at the
Relativistic Heavy Ion Collider (RHIC) and at other accelerators.
