Classification of solids. Theory of harmonic crystals. Phonons and phonon dispersion relations. Anharmonic effects in crystals. Phonons in metals. Dielectric properties of insulators. Semiconductors. Diamagnetism and paramagnetism. Electron interactions and magnetic structure. Magnetic ordering. Superconductivity.

A graduate level introduction to matrix-based computing. Stable and efficient algorithms for linear equations, least squares and eigenvalue problems. Both direct and iterative methods are considered and MATLAB is used as a computing environment.

Introduction, material properties, crystal growth, epitaxy, ion implantation, cleaning, wet etching, photolithography, non-optical lithography, plasma processing, dry etching, metal deposition, diagnostic techniques.

Fundamental physico-chemical concepts of polymeric systems in bulk, in solutions and at surfaces. The interactions of polymers in bulk; thermal and structural properties; thermodynamics of polymer solutions in different concentration regimes; polymer adsorption at surfaces; functional polymer thin films/coatings; self-assembly of block copolymers; experimental methods to characterize physicochemical properties, structure and morphology of polymers. Emphasis on recent research results and applications.

Intermolecular forces which govern self-organization of biological and synthetic nanostructures. Thermodynamic aspects of strong (covalent and coulomb interactions) and weak forces (dipolar, hydrogen bonding). Self-assembling systems: micelles, bilayers, and biological membranes. Computer simulations for ôhands-onö experience with nanostructures.

Free electron theory of metals. Crystal lattices. Reciprocal lattice. Classification of Bravais lattices. X-ray diffraction and the determination of crystal structures. Electrons in a periodic potential. Tight binding method. Band structures. Semi-classical theory of conduction in metals. Fermi surface. Surface effects.

Linear algebra: Vector and inner product spaces, linear operators, eigenvalue problems; Vector calculus: Review of differential and integral calculus, divergence and Stokes' theorems. Ordinary differential equations: Linear equations, Sturm-Liouville theory and orthogonal functions, system of linear equations; Methods of mathematics for science and engineering students.

Bioengineering, engineering materials, medicine, polymers, metals, smart materials, surgical implants, surgical instruments, cell and tissue mechanics, microsurgery, self-expanding stents, physical therapy, phase transformations, shape memory alloys.

Materials for biomedical applications; synthetic polymers, metals and composite materials as biomaterials; biopolymers, dendrimers, hydrogels, polyelectrolytes, drug delivery systems, implants, tissue grafts, dental materials, ophthalmic materials, surgical materials, imaging materials.

Block copolymers, polymer blends and composites; design, preparation, properties and applications of multicomponent polymeric materials; phase separation in polymeric systems; structure-property relations in multicomponent polymers.