The Countable and the Uncountable. Symmetries and Noether's Theorem. The Electromagnetic Field and Stress Energy Tensor. Elasticity Theory and Fluid Mechanics. Toward Quantum Fields: Scalar and Spinor Fields. Concept of functional Integration. Quantum Mechanics Using Lagrangians: Path Integrals. Creation and Annihilation Operators in Fock Space. Quantum Fields on a Lattice. Green Functions: Matsubara and Nonequilibrium. Coherent State Path Integrals. Nonlocal Operators. Non-chiral Bosonization of Fermions in One Dimension.