Lecture I Attempts to relate the navier-stokes equations to turbulence -- Appendix to Lecture I: Bifurcations, semiflows, and navier-stokes equations -- Lecture II Theories of turbulence -- Lecture III Dynamical systems and turbulence -- Lecture IV A phenomenonological theory for the computation of turbulent shear flows -- Lecture V Fractals and turbulence: Attractors and dispersion -- Lecture VII The structure of lorenz attractors -- Appendix to Lecture VII: Computer pictures of the Lorenz attractor -- Lecture VIII a model for couette flow data -- Two attempts at modeling two-dimensional turbulence.