A course in some aspects of classical homotopy theory -- Homotopy and homology of diagrams of spaces -- The kervaire invariant and the Hopf invariant -- Stable splittings of mapping spaces -- The splitting of ?2 S 2n+1 -- A model for the free loop space of a suspension -- Calculations of unstable Adams E2 terms for spheres -- The bo-adams spectral sequence: Some calculations and a proof of its vanishing line -- The rigidity of L(n) -- Thom complexes and the spectra bo and bu -- A commentary on the �́�Image of J in the EHP sequence�́� -- On the ?-algebra and the homology of symmetric groups