# Graduate Courses Catalog

** ME 501 Advanced Engineering Mathematics I** (3+0+0) 3

*(İleri Mühendislik Matematiği I)*Systems of linear equations; linear vector spaces; theory of matrices and the eigenvalue problem; multivariable differential calculus; ordinary differential equations; vectors in R

^{3}; vector field theory, Fourier series and Fourier transform; Laplace transform; calculus of variations.

** ME 502 Advanced Engineering Mathematics II** (3+0+0) 3

*(İleri Mühendislik Matematiği II)*Partial differential equations; Laplace, diffusion, and wave equations; Bessel and Legendre functions; integral equations; functions of a complex variable; conformal mapping; complex integral calculus; series expansion and residue theorem.

** ME 503 Mechanics of Continua I **(4+0+0)I or II:4

*(Sürekli Ortamlar Mekaniği I)*Vectors, matrix algebra, tensor analysis. Deformation and strain tensors. Length, angle, area and volume changes. Kinematics of motion, mass, momentum, moment of momentum, and energy. Fundamental axioms of mechanics. Stress; thermodynamics of continuous media. Constitutive equations; ideally elastic solids. Stokesian fluids.

** ME 511 Principles of Materials Science and Engineering** (4+0+0)I or II:4

*(Malzeme Bilimi ve Mühendisliği Prensipleri)*Atomic bonding and crystal structure; imperfections in crystals; x-ray and electron diffraction; thermodynamics of crystals; kinetics; transport in materials; phase transformations; annealing processes; deformation and fracture of materials; examples of technological materials.

** ME 512 Principles of Manufacturing Processes** (3+0+0)I or II:3

*(İmalat Süreçleri Esasları)*Fundamentals of production and processing of metallic, ceramic and polymeric materials. Manufacturing processes based on heating/cooling. Casting techniques. Near net shape processes. Principles of metal forming. Thermomechanical treatment. Surface modification.

** ME 521 Engineering Design **(3+0+0)I or II:3

*(Mühendislik Tasarımı)*Nature and properties of materials; advanced topics of strength of materials; analysis of composite, honeycomb and reinforced materials; pressure vessel design; residual stresses, thermal stresses; failure theories, beyond the elastic range; buckling; shock; impact and inertia.

** ME 523 Elasticity** (3+0+0)I or II:3

*(Elastisite)*Cartesian tensor notation. Analysis of strain, components and compatibility of strain. Analysis of stress; definitions and components of stress; equations of equilibrium. Constitutive equations, generalized Hook’s law; governing equations of elasticity. Plane strain and plane stress; problems, some examples of 2-D problems of elasticity. Energy principles. Sample problems of applied elasticity.

** ME 530 Advanced Dynamics **(3+0+0)I or II:3

*(İleri Dinamik)*Kinematics of rigid body motion. Coordinate transformations. Rigid body dynamics. Euler’s equations of motion. Eulerian angles. Motion under no force. Lagrange equations and their first integrals. Hamilton’s equations. Applications to mechanical engineering systems.

** ME 537 State Space Control Theory** (3+0+0)I or II:3

*(Durum Uzayı Kontrol Kuramı)*State space representation of systems. Dynamic response from state equations. Stability, controlability and observability. Canonical forms, control with state feedback. Pole placement. Observer-based controllers. Reference input tracking. Introduction to optimal control and Lyapunov stability. Example applications.

** ME 551 Advanced Fluid Mechanics** (4+0+0)I:4

*(İleri Akışkanlar Mekaniği)*Dynamics of motion, constitutive equations. lncompressible flows; potential flows, wing theory; waves. Compressible flows; thermodynamics of flow; two dimensional potential flows, theory of small perturbations; shock waves. Viscous flows; some exact and approximate solutions of Navier-Stokes equations.

** ME 561 Conduction Heat Transfer **(3+0+0) 3

*(İletim ile Isı Transferi)*Steady and unsteady heat conduction involving various boundary conditions. Methods of formulation. Analytical solutions and approximate methods.

** ME 579 Graduate Seminar ** (0+1+0) 0

*(Lisansüstü Seminer)*The widening of students’ perspectives and awareness of topics of interest to mechanical engineers through seminars offered by faculty, guest speakers and graduate students

** ME 581, 582, 583, 584, 585, 586, 587, 588, 589 Special Topics** (3+0+0) 3

*(Özel Konular)*Special Topics of current interest in mechanical engineering selected to suit the individual interests of the students and faculty in the department. The course is designed to give the student of advanced level an opportunity to learn about the most recent advances in the field of mechanical engineering.

** ME 591, 592, 593, 594, 595, 596 Special Studies **(3+0+0) 3

*(Özel Çalışmalar)*Study of special subjects not covered in other courses at the graduate level.

** ME 597, 598 Mechanical Engineering Seminars** (1+0+0) 1

*(Makina Mühendisliği Seminerleri)*Subjects and speakers to be arranged.

** ME 599 Guided Research ** (0+4+0) 0

*(Yönlendirilmiş Çalışmalar)*Research in the field of Mechanical Engineering, supervised by faculty.

** ME 602 Mechanics of Continua II** (3+0+0)I or II:3

*(Sürekli Ortamlar Mekaniği II)*Constitutive equations; thermomechanical materials, elastic materials. Stokesian fluids. Elasticity, fluid dynamics, thermoelasticity, visco-elasticity. Linear and nonlinear physical interactions in continuous media. Selected problems of practical importance in engineering disciplines.

** ME 610 Finite Elements** (3+0+0) 3

*(Sonlu Elemanlar)*Strong and weak statements of boundary value problems. The concept of finite element discretization and finite element interpolatory schemes. The isoparametric concept. Programming techniques for numerically integrated finite elements. Implementation of finite element model and solution methods. Preprocessing and postprocessing. Time-stepping algorithms and their implementation approximation errors in the finite element method and error analysis.

** ME 613 Deformation of Engineering Materials **(3+0+0):3

*(Mühendislik Malzemelerinin Sekil Degistirmesi)*Fundamentals of the mechanical behavior of materials. Elements of dislocation theory. Plastic deformation of crystalline materials. The relationship between microstructure and mechanical behavior at ambient and elevated temperatures

** ME 614 Materials Processing **(3+0+0):3

*(Malzeme Üretimi)*Control of microstructure and alteration of material properties. Heat treatment of steel. Precipating hardening. Shape memory alloys. Processing of electronic and magnetic materials. Processing of glasses. Powder metallurgy.

** ME 618 Mechanical Behavior of Materials** (3+0+0)I or II:3

*(Malzemelerin Mekanik Davranisi)*Treatment of elastic, plastic and creep deformation under steady and cyclic loads. Emphasis on approximate solutions which enable the prediction of service performance from simple tests. Failure due to fatigue, creep rupture and plastic instability. Treatment of fracture from engineering point of view.

** ME 620 Fracture **(3+0+0)I or II:3

*(Kırılma)*Stress analysis of cracked members; applications of linear elastic fracture mechanics; experimental determination of fracture toughness; microstructure aspects of fracture toughness. Fracture prediction beyond linear elastic range: the transition temperature approach, crack opening displacement, J-integral. Fatigue crack initiation, propagation and stress corrosion cracking.

** ME 622 Advanced Vibrations ** (3+0+0) 3

*(Ileri Titresimler)*Vibratory response of multi-degree-of-freedom systems, matrix formulation, concepts of impedance, frequency response, and complex mode shapes. Nonlinear vibrations, parametric resonance. Vibration of elastic bodies. Modal analysis.

** ME 625 Optimum Structural Design ** (3+0+0) 3

*(En İyi Yapısal Tasarım )*Basic concepts of design optimization: classical techniques in structural optimization (differential calculus, variational calculus, Lagrange multipliers); Karush-Kuhn-Tucker conditions. Application of linear and nonlinear programming to structural problems. Advanced topics in structural optimization.

** ME 626 Mechanics of Composite Materials ** (3+0+0):3

*(Kompozit Malzemelerin Mekaniği)*Types of composite materials; matrix materials, thermosets, thermoplastics, fiber materials. Effective moduli; rule of mixtures. Constitutive relation for anisotropic materials. Laminates; constitutive relations, transformation equations. Strength and failure criteria. Classical theory of laminated plates; governing relations, higher order theories, energy methods. Cylindrical bending and vibration of laminated plates.

** ME 631 Engineering Analysis **(4+0+0)I or II:4

*(Mühendislik Analizi)*Planning and design of project of a comprehensive character requiring the correlation of principles and procedures drawn from a variety of areas in engineering and related branches of science.

** ME 632 Approximate Solution Techniques **(3+0+0)I or II:3

*(Yaklaşık Çözüm Yöntemleri)*Method of weighted residuals; boundary value, eigenvalue and initial value problems in heat and mass transfer. Application to fluid mechanics, chemical reaction systems, convective instability problems. Variational principles in heat and mass transfer. Convergence and error bounds.

** ME 634 Robotics** (3+0+0) 3

*(Robot Sistemleri)*Fundamental aspects of robotics and type of robots. Rotation matrices. Homogeneous transformations. Direct kinematics. Inverse kinematics. Jacobean matrix. Dynamic force analysis via Newton-Euler formulation. Motion equations via Lagrangian formulation. Trajectory planning. Control methods of manipulators.

** ME 636 System Modeling and Identification** (3+0+0) 3

*(Sistem Modelleme ve Tanımlama)*Systems and models. Modeling of complex systems. Lagrange equations. Bond graphs. System identification. Estimation from transient response. Spectra and frequency functions. Least squares estimation. Parameter estimation in dynamic models. Model validation.

** ME 641 Wave Propagation** (3+0+0)I or II:3

*(Dalga Yayılması)*Basic equations of elastodynamics, methods of solutions. Navier's equations. Selected problems in one and two space dimensions. impact problems, explosion, reflection, refraction, Rayleigh surface waves, and various other selected problems of practical importance in diverse engineering disciplines.

** ME 652 Viscous Flow Theory** (3+0+0)I or II:3

*(Viskoz Akış Kuramı)*Equation of Motion for Viscous flow Exact solutions of Navier-Stokes equations. Creeping flow: Stokes and Oseen solutions, lubrication theory. Boundary layer theory: similar solutions, approximate methods of solution, computer methods of solution, stability, turbulent boundary layers. Introduction to three-dimensional compressible boundary layer flows.

** ME 653 Turbulent Flow Theory **(3+0+0)I or II:3

*(Türbülanslı Akış Kuramı)*Basic concepts. Scales of time, velocity, space. Time averaging of fundamental equations.Turbulent flow theories and models. Dynamics of turbulence. Turbulent pipe, boundary layer and force shear flows turbulent transport. Statistical description of turbulence. Spectral dynamics.

** ME 654 Gas Dynamics** (3+0+0)I or II:3

*(Gaz Dinamigi)*Basic equation of compressible flow. Wave propagation in compressible media. One dimensional compressible flow. Equations of motion for multidimensional flow. Methods for solution. Oblique shock. Introduction to hypersonic flow. Introduction to rarefied gas dynamics.

** ME 655 Advanced Turbine Design **(3+0+0) 3

*(İleri Türbin Tasarımı)*Review of gas dynamics and thermodynamics. Velocity triangles. Two dimensional flow in turbine stages. Turbine cascades. Calculation of design point efficiency of turbine stages using cascade data. Potential flow and methods of solution. Three dimensional design of turbines. Radial equilibrium theory. Off-design performance. Introduction to turbine cooling.

** ME 656 Computational Fluid Dynamics **(3+0+0) 3

*(Sayısal Akışkanlar Dinamiği)*Fundamentals of computational fluid dynamics and high performance computing: basic flow models; grid generation; discretization techniques. Analysis of linear and nonlinear systems; algorithm development; convective-diffusive systems; turbulence modeling; combustion modeling.

*Prerequisite: ME 551*

** ME 660 Advanced Thermodynamics** (3+0+0) 3

*(İleri Termodinamik)*An advanced study of the first and second laws of thermodynamics and their application to engineering systems and flow processes. Equilibrium conditions. Thermodynamic potentials; systems of variable mass. Chemical equilibrium and thermodynamics of chemical reactions. Emphasis is placed on the relationship of thermodynamics to the broad fields of engineering and applied science.

** ME 662 Convective Heat Transfer **(3+0+0)I or II:3

*(Taşınım ile Isı Transferi)*Basic equations of fluid flow. Differential and integral equations of the boundary layer. Forced convection in internal and external laminar flows. Momentum-heat transfer analogies for turbulent flow. Natural convection.

** ME 663 Radiation Heat Transfer **(3+0+0)I or II:3

*(Işınım ile Isı Transferi)*Basic laws of thermal radiation. Radiation properties of solids and liquids. Exchange of thermal radiation between surfaces separated by transparent media; non-gray and non-diffuse surfaces. Gas radiation in enclosures. Radiation combined with conduction and/or convection.

** ME 664 Two-Phase Heat Transfer **(3+0+0)I or II:3

*(İki Fazlı Isı Transferi)*Nucleation and bubble growth in boiling. Pool boiling heat transfer. Critical heat flux. Film boiling. Kinematics and dynamics of adiabatic two-phase flow. Two phase flow with boiling and/or evaporation. Stability of two-phase flows. Condensation.

** ME 681, 682, 683, 684, 685, 686, 687, 688, 689 Special Topics **(3+0+0) 3

*(Özel Konular)*Advanced special topics of current interest in mechanical engineering selected to suit the individual interests of the students and faculty in the department. The course is designed to give the student of advanced level an opportunity to learn about the most recent advances in the field of mechanical engineering.

*ME 690 M.S. Thesis (Yüksek Lisans Tezi)*

** ME 691, 692, 693, 694, 695, 696 Special Studies **(3+0+0) 3

*(Özel Çalışmalar)*Study of special subjects not covered in other courses at the graduate level.

** ME 697, 698 Mechanical Engineering Seminars **(1+0+0) 1

*(Makina Mühendisliği Seminerleri)*Subjects and speakers to be arranged.

** ME 699 Guided Research **(2+0+4) 4

*(Yönlendirilmiş Araştırmalar)*Research in the field of Mechanical Engineering, by arrangement with members of the faculty; guidance of doctoral students towards the preparation and presentation of a research proposal.

** ME 69A Guided Research II ** (0+4+0) 0

*(Yönlendirilmiş Çalışmalar II)*Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal.

** ME 69B Guided Research III ** (0+4+0) 0

*(Yönlendirilmiş Çalışmalar III)*Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal.

** ME 69C Guided Research IV ** (0+4+0) 0

*(Yönlendirilmiş Çalışmalar IV)*Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal.

** ME 69D Guided Research V ** (0+4+0) 0

*(Yönlendirilmiş Çalışmalar V)*Continued research in the field of Mechanical Engineering, supervised by faculty; preparation and presentation of a research proposal.

*ME 790 Ph.D. Thesis (Doktora Tezi)*