The students will learn basic fundamental concepts underlying physical properties of both, natural photonic materials and metamaterials, including effective permittivity and permeability, origin of wavelength dispersion, optical losses, and optical magnetism, and the role that different types of symmetry and symmetry breaking play in defining the [meta]-material properties. They will be able to read and construct the photonic band structures of photonic metamaterials and will recognize the role the photonic band structure and dissipative losses play in sculpting the material interaction with embedded sources and propagating fields. This fundamental understanding will lay the foundation to identifying the opportunities and limitations of photonic metamaterial engineering for a variety of emerging applications and will promote understanding of similar concepts in solid state physics and mechanics. The students will learn and practice using the transfer-matrix and FDTD-based simulation tools to design, analyze, and visualize different regimes of light manipulation by metamaterials and metasurfaces.