Classical Field Theory (class notes):

The SO(3) and SU(2) symmetry groups - optional review

Interaction of fields with non-relativistic matter - optional review

The SU(3) symmetry group and quarks - optional review

Lorentz group

Klein-Gordon equation

Maxwell equations

Dirac equation

Non-Relativistic Quantum Field Theory (class notes):

Second Quantization and Many-Particle Systems.

Non-Relativistic Fermions at zero temperature: ground state, spectrum of low-lying excitations.

Propagator for the Non-Relativistic Fermi Gas. Holes, particles and the analytic properties of the propagator.

Pertubation Theory and Feynman rules (Martin & Rothen)

Applications (Martin & Rothen)

Lagrangian Formulation, Symmetries and Gauge fields
(Ryder)

Lagrangian formulation of particle mechanics

The real scalar field

Complex scalar fields and the Maxwell field

Topology and the vacuum: the Bohm-Aharanov effect Canonical Quantization and Particle Interpretation (Ryder)

The real Klein Gordon Field

The complex Klein Gordon Field

The Dirac field

The Maxwell field - radiation gauge quantization

Path Integrals and Quantum Mechanics

Perturbation theory and the S-matrix

Lagrangian Formulation, Symmetries and Gauge fields
(Ryder)

Lagrangian formulation of particle mechanics

The real scalar field

Complex scalar fields and the Maxwell field

Path integral quantization and Feynman rules (Ryder;
this material may not be covered entirely)

Generating functional for scalar fields

Functional integration

Free particle Greens function

Generating functional for interacting fields theory

Generating functional for connected diagrams

Fermions and functional methods

The S-matrix and reduction formula

Pion-nucleon scattering amplitude

Scattering cross section