Random variables, common discrete, continuous expectation and their applications, sampling of the mean, hypothesis testing of the mean and variance, confidence intervals and chi-square procedure,simple linear regression and correlation, precision and straight line fits, matrix approach, multiple linear regression, polynomial and extra sum of squares in linear regression analysis, transformation weighted dummy variables and special topics in multiple regression analysis,selection the best regression model, design of experiments, single factor and multi factor analysis of variance, application of statistical software package such as:MINITAB, SPSS, etc…..

Review of ordinary differential equations, linear differential equation of first order, linear differential equations with constant coefficient, particle solutions by variations of parameters, power series solutions, method of Frobenius, legendres equations, Fourier-legendres series,Basel equations, modified Basel equations, Fourier method, Fourier series,Fourier of variables, waves and vibration in string, wave equation, longitudinal vibration in elastic rod, two dimensional stress system, Lapland equation

Interpolation, linear interpolation, Lagrange and Aitkins interpolation polynomials, difference calculus, newton forward and backward difference formula, curve fitting, least squar approximation, fitting non linear curves, cubic spline, chebyshev polynomials, approximation with rational function ordinary differential equations, analytical and computer-aided solutions, boundary conditions, Tylor series methods.

Structural defects in iron, plastic deformation in iron single and polycrystalline materials, effect of alloying elements in solids solutions, effect of second phase formation, heat treatment , high strength, tool and environmental steel,segregation, surface hardening techniques, tempering, aging.

Lectures and laboratory experience in both new and established techniques for micro structural characterization of materials. Techniques include TEM, SEM, X ray and electron diffraction, EDS and EELS.

Advanced topics in thermodynamics as applied to metallurgy, topics include solutions,defect chemistry, multi-component systems, thermodynamics of surface and interfaces, phase transformation and modeling of thermodynamics systems.

The theory of different types of solid-solid transformation will be discussed in detail and the applicability to different metallic systems.

Study the structure of solid solutions, intermediate phases and superlatices. Theory of metallic phase. Defect measurement by diffraction. Stress measurements by X-ray and other related topics.

Aluminum and its alloys, Mg-base alloys, Be-base alloys, Ti and its alloys, heat treatment and properties.

Physical and thermal properties and their tests and measurements, mechanical behavior and testing, electrical properties and their measuring, dielectric, magnetic and optical behavior, effect of time, temperature and environment on properties.

Glass formation,transition,structure and composition. Kinetic theory of glass formation. Properties of glass melts. Mechanical,thermal, electrical, electrical and optical properties of commercial silicate glasses. Glass ceramics, their making, properties and applications. Glass reuse and recycling.

Sour gas corrosion, sweet gas corrosion, corrosion in concrete, cathodic protection systems design and advanced topics in corrosion of high temperature materials.

This course will focus on primary processing of ferrous and non-ferrous metals and its alloys, semiconductor processing, single crystal growth of Si, GaAs, thin film processing (physical and chemical vapor deposition), processing of advanced nano structures such as nano particles, nanowires, nanotube, grapheme. In addition this course will cover sustainable materials processing.

Theories and techniques of growing crystals from solutions and melts, from vapor state. Recrystallization techniques, hydrothermal and related techniques. Growing crystals of refractory materials, methods of control of growth parameters.

The theory and practice of thin film production by various techniques including vacuum deposition, chemical deposition, sputtering, epitaxy,…..etc. methods of measuring thin film parameters and properties, monitoring of structural changes in thin films.

Theoretical aspects of the superconducting state in metallic and oxide systems, measuring parameters of superconductors, structure of superconductors,preparation and property determination, applications and performance.

Theories of various magnetic states,soft and hard magnetic materials, ferrites, materials for magneto-optics, preparation of magnetic crystals and thin films, magneto-optical media.

Materials as related to interatomic bonding and crystal structure. Diffusion in semiconductors and defect specifics, electro electrophysical properties of semiconductors and dielectrics, dielectric breakdown, polycrystalline and amorphous semiconductors.

This course is a material science approach to the challenge of energy efficient technology. It introduces the concept of materials energy content ( production,processing,use and recycling), description of how advanced materials make possible efficient energy harvesting (e.g, solar cells, nuclear materials, hard materials for oil/gas recovery, compo For wind Energy, thermoelectric), energy transformation (e.g, fuel cells, light emitting diodes, engines and turbines) and energy storage (e.g, hydrogen storage, phase change materials). Finally, materials enabling energy-efficient transportation and housing are discussed.

Review of all classes of engineering materials, composite fabrication methods, structure and properties of composite material's, fibers, resin, matrix, metal-matrix, and ceramic -matrix composites. macro and micro mechanical behavior of composites, physical-mechanical-nondestructive characterization techniques.

Recent development of polymer science, relation between molecular structure, morphology and properties, design of polymers to fulfill special functions, high modulus fibers, non-linear optical properties, conducting polymer systems and resins for composite materials.

Fusion welding process, heat flow in welds, weld thermal cycle, metallurgy of fusion weld in:work hardened metals and alloys, precipitation hardening materials, transformation hardening materials.

Solidification in metals, solid solutions and eutectic alloys, control of structure and grain size, advances in pattern and core production, advanced casting techniques, specific in casting of aluminum-, magnesium-, copper-, nickel base alloys, steel and cast irons, solidification control techniques, advances in casting design, inspection and control in foundry practice