# Material Science

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**M.Sc Programme in Materials Science****COURSE DESCRIPTION. ****PHY 563: Analytical And Quantitative Methods In Materials Science 3 Credits **

Stereographic projection. Optical microscopy. Interaction of electromagnetic radiation with metals and alloys. Scanning and transmission electron microscopy. Electron probe microanalysis. Electron diffraction. Electron energy loss spectroscopy. Surface metallurgy. Chemical metallography. X-ray diffraction and spectroscopy.**PHY 585: Metallic Materials 3 Credits **

Crystal structure of solids. Diffusional processes. Phase transformations. Phase diagrams of Binary and Ternary alloys - ferrous and non-ferrous metals. Microstructures of ferrous and non-ferrous metals. Production and properties of cast metals. Alloy steels - production and properties. Mechanical properties of metals and alloys, . Imperfections in crystals. Deformation of metals - fatigue and creep. Annealing processes in materials. Fracture mechanics.Corrosion science, Electrical, thermal and magnetic properties of materials. Joining of metals. Designing with metals.**PHY 564: Polymeric Materials 3 Credits **

Structure of polymetric solids. Polymerisation. Elastic properties of rubber. Viscoelasticity. Crystalline and amorphous states. Vulcanisation. Physical and design with polymers. Joining of polymers. Polymer composites.**PHY 588: Ceramic Composite Materials 3 Credits **

Ceramics and glasses. Structure of ceramics. Ceramic systems and phase diagrams. Fabrication of monolithic ceramics. Sintering. Mechanical properties of ceramics. Statistics of brittle fracture. Agglomeration - cement and concrete. Composition and structure of glass. Properties of glass. Devitrification of glass and glass- ceramics. Glass applications. Refractories - raw materials characteristic. Kilns. Fabrication of ceramic bodies. Physical and mechanical properties. Applications of ceramics. Modern trends. Composites - advantages and limitations. Classification of composite materials. Comparison between structural performance of conventional materials and composites. Fabrication technology. Strength of unidirectional and mu1tidirectional lamina. Testing of composite materials.**PHY 546: Advanced Programming 2 Credits **

Introduction of high level programming languages (Fortran, Pascal, C++, SQL). Programming design. Structural design. Developing an algorithm - define problem, design a solution algorithm, checking the solution algorithm. Names and data types. Control structures - simple IF statements. ELSE statements, combine IF statements, nested IF statements, the CASE structure. Repetition control structures - DO WHILE structure. REPEAT .. UNTIL structure, combined repetition constructs. Modularization-hierarchy charts or structure charts. Steps in modularisation. Programming examples using modules. Module design consideration. Array and matrices. Characters and strings. Procedure and functions. Files. List processing (pointers). Enumerated and set types. Records. Search and sorting. Iteration and recursion. Graphics. Modelling and simulation.**PHY 553 Topics in Classical and Quantum Mechanics 3 Credits **

Review of Lagrangian and Hamiltonian Mechanics. Canonical transformations. The Hamilton-Jacobi Theory. Connection between Classical and Quantum Mechanics. Linear Vector Spaces in Quantum Mechanics. Elements of Representation theory. Motion of a particle in a central force field. Approximate methods in Quantum Mechanics. Elementary scattering theory. The spin. Dynamics of two-level systems.**PHY 555 Theory of Fields 3 Credits **

Special theory of relativity. lnvariance of electrical charge. Dynamics of relativistic particle and electromagnetic fields. Radiation by moving charges. Multipole field. Radiation damping. Particle in a gravitational field.**PHY 559 Statistical Physics 3 Credits **

Classical statistical mechanics; Postulates; Microcanonical, Canonical and Gens canonical ensembles. Boltzmann's H- theorem; Maxwell-Boltzmann distribution, applications. Quantum statistical mechanics; Postulates, density matrix, Bose and Fermi gases. Darwin-Fowler methods; Imperfect gases; Gluster expansion. Phase transition, Ising model, Molecular field approximation; Critical fluctuation; Time correlation function; Fluctuation-dissipation theorem.**PHY 554 Topics in Advanced Quantum Mechanics 3 Credits **

Elements of the Foral theory of scattering. Identical particle. Application of second quantization. Photons. Bosons. Fermions. Particles in an external field. Radiation of QED.**PHY 551 Mathematical Methods for Physics 3 Credits **

Vectors and matrices. System of linear equations and linear programming. Function representation and curve fitting. The Monte Carlo Method. Linear spaces. Fourier series, Laplace Transform. Introduction to the Theory of distributions (Generalised functions). Ordinary Differential Equations. Special Functions. Green's Functions.