Scales and complexity -- Quantum fields -- Conserved particles -- Simple examples of second-quantization -- Green's functions -- Landau Fermi liquid theory -- Zero temperature Feynman diagrams -- Finite temperature many-body physics -- Fluctuation dissipation and linear response theory -- Electron transport theory -- Phase transitions and broken symmetry -- Path integrals -- Path integrals and itinerant magnetism -- Superconductivity and BCS theory -- Retardation and anisotrophic pairing -- Local moments and the Kondo effect -- Heavy electrons -- Mixed valence, fluctuations and topology.