Course Descriptions

ME 501  Advanced Engineering Mathematics                                                                (3-0) 7.5

The Laplace transform, Series solutions of Differential equations, Bessel and Legendre functions, Boundary-value problem and characteristic function representations, Fourier series, Solutions of  partial differential equations (Laplace, Diffusion and Wave Equations), Functions of a complex variable, Cauchy integral  formula, Conformal mapping and engineering applications.


ME 502 Computational Methods in Engineering                                                           (3-0) 7.5

Mathematical modeling and engineering problem solving, MATLAB Programming,  Error Sources, Analysis of  errors, Roundoff and Truncation errors, Taylor Series , Roots of  equations (Newton-Raphson and secant methods), Linear algebraic equations,  Gaussian Elimination , Gauss-Seidel  Method,  Singular Value Decomposition, Curve fitting, Least squares regression,  Interpolation, Splines, Discrete Fourier transforms, Integration of equations,   Trapezoidal and Simpson rules , Applications from heat transfer, mechanics and electonics,   Ordinary differential equations , Runge-Kutta Methods, Partial differential equations , Solution of  parabolic  and elliptical equations by the finite difference method

ME 503  Advanced Fluid Mechanics                                                                                  (3-0) 7.5

Conservation of mass, momentum and energy, Constitutive equations, Circulation and vorticity, Stream tubes, Vortex tubes, Kelvin’s theorem, Bernoulli equation,  Crocco’s equation, Complex potential, source, sink, doublet, Circular cylinder with and without circulation, Conformal transformations, Kutta condition, Sokes stream function, Three-dimensional potential  flow solutions, Propagation of small amplitude waves, Some exact soutions of viscous incompressible flow, Low Reynolds number solutions, Boundary Layer flows


ME 504    Gas Dynamics                                                                                                       (3-0)7.5  

Concepts from thermodynamics, One-dimensional  Gas Dynamics, Isentropic flow relations, One dimensional  sound  and shock waves,  Oblique shock waves, The Prandtl-Meyer expansion waves, Flow in ducts and wind tunnels, The equations of frictionless flow, Crocco’s thorem, Small perturbation theory, Flow past a wave-shaped wall, The method of characteristics, design of supersonic nozzles


ME 505  Turbulent Flows                                                                                                     (3-0) 7.5  

Characteristics of turbulence,  Length scales in turbulent flows,  The Reynolds equations,  Kinetic energy of the mean flow and turbulence, Vorticity Dynamics,  Boundary-free Shear Flows, Wall-bounded shear flows, Statistical description of turbulence, Turbulent transport, Spectral Dynamics                                                                                                                                       

ME 506   Introduction to Computational Fluid Dynamics                                         (3-0)7.5

Application areas of Computational Fluid Dynamics,   CFD solution procedure (Pre-processing,  numerical  solution, post processing,  Governing equations (Conservation and Turbulence) and boundary conditions,   Solution of two-dimensional flow in a channel and  flow over  an airfoil. Basic  CFD Techniques (Finite difference, finite volume),   Dicretization of equations, Solution of,  SIMPLE technique,   Stability, convergence and accuracy,  Solution of flow in  a heated/cooled cubical cavity,   Practical Guidelines for CFD simulation and analysis,  Some advanced topics in CFD 


ME 507  Conduction Heat Transfer                                                                               (3-0)7.5

Lumped, integral and differential formulations, Steady one-dimensional conduction, Superposition principle, Power series solutions,  Bessel functions, Extended surfaces, Steady two and three dimensional conduction, separation of variables, Orthogonal functions, Unsteady multi-dimensional conduction, Solutions by Laplace transforms,  Numerical solution by finite difference formulation


ME 508  Convection Heat Transfer                                                                                  (3-0)7.5

Conservation principles, Fluid stresses and flux laws, Differential and integral equations of laminar and turbulent boundary layers,  Momentum and heat transfer in laminar and turbulent flows in pipes, Influence of  temperature dependent properties,  Convective heat transfer at high velocities, Free convection boundary layers, Mass transfer formulation and some solutions


ME 509  Radiation Heat Transfer                                                                                     (3-0)7.5

Characteristics of blackbody emission, Directional spectral, hemispherical spectral emissivity, absorbtivity and reflectivity, Radiative properties of opaque materials, Configuration factors, Enclosures with diffuse surfaces, Radiation exchange between black and diffuse-gray surfaces,  Radiation exchange between nondiffuse- nongray  surfaces,  Absorption and emission in participating media, Optically thin and thick limits


ME  510 Modern Control Systems                                                                              (3-0)7.5

Concept of state; state space representation of dynamic systems; canonical forms; state transition matrix; eigenvalues, eigenvectors and diagonalization; Jordan form of a matrix; minimal polynomial and Cayley-Hamilton theorem; homogeneous and non-homogeneous solution of state equations;  controllability and observability; minimal realizations; stability; pole placement by state feedback; observer design.

ME  511     Advanced Dynamics                                                                             (3-0)7.5

Reference frames and coordinate transformations; relative motion; observations from a moving frame; dynamics of a system of particles; analytical mechanics; generalized coordinates; holonomic and non-holonomic constraints; virtual work; D’Alembert’s principle; Lagrange-Euler equations; kinematics of rigid bodies; Euler parameters; dynamics of rigid bodies; linear and angular momentum; Newtonian formulation of equations of motion; impulse-momentum relationships

ME  512    Introduction to Robotics                                                                                      (3-0)7.5

Orientation of rigid bodies; rotation matrices and quaternions; homogeneous coordinates; direct and inverse kinematics; Denavit-Hartenberg formulation; Lagrangian formulation of equations of motion; sensors and actuators; trajectory planning; introduction to mobile robotics.

ME  513    Digital Control of Dynamic Systems                                                      (3-0)7.5

Discrete-time systems; sampling and Nyquist-Shannon sampling theorem; quantization; the z-transform; design of digital control systems; root locus method; state feedback controllers; realization of control systems; microprocessors and microcontrollers; I/O interfaces; sensor interfacing; applications.

ME  514    Mechatronic Systems                                                                                 (2-2)7.5

Introduction to mechatronics; components of mechatronic systems; sensors and transducers; actuators; basic theory of signals and systems; control of mechatronic systems; microprocessors and programming; interfacing sensors and actuators; applications

ME  515    Dynamics of Nonlinear Systems                                                                           (3-0)7.5

Introduction; types of nonlinearities in mechanical systems; solution of nonlinear differential equations; linearization and Jacobians; state and phase plane analysis; singular points and their classification; state trajectories; limit cycle analysis; stability of limit cycles; Poincaré index; approximation methods; perturbation methods; Lyapunov stability analysis

ME 516  Failure Analysis                                                                                                     (3-0) 7.5

In this course, fundamental topics in failure analysis will be explained. Failure analysis steps and failure types will be investigated in detail. Different kinds of fracture mechanisms and failure types such as fatigue, corrosion, stress corrosion, corrosion fatigue, hydrogen embrittlement, creep, wear and friction, occurring in machine elements and machine systems will be analyzed in detail.


ME 517  Powder Metallurgy Manufacturing Techniques                                             (3-0) 7.5

In this course the topics that will be investigated is given as; overview of advanced powder metallurgy, advanced powder metallurgy production methods, hot pressing, hot  powder rolling, powder forging, mechanical alloying, rapid prototype production technology, ultra-light materials production technique


ME 518    Advanced Ceramic Technology                                                                     (3-0) 7.5

In this course the topics that will be investigated are; introduction to ceramic materials, properties, and classification of ceramics, traditional ceramics and properties, advanced technology ceramics, raw products of ceramics, fabrication of ceramics powders, forming, drying, and sintering of ceramics, classification and properties of advanced technology ceramics , raw produts of advanced technology ceramics, quality control of ceramics, applications of ceramics, bio-ceramic materials, ceramic matrix composites


ME 519   Biomaterials                                                                                                      (3-0) 7.5

During this course classes of materials used in medicine will be investigated. Polymers, metals, ceramics, glasses and composites made from them. Natural materials, medical fibers and biotextiles, bioresorbable and bioerodable materials. Physicochemical surface modification of materials used in medicine, application of materials in medicine, orthopedic applications, dental implantation, biomedical sensors and biosensors, cardiovascular medical devices


ME 520   Advanced Materials and Processes                                                                  (3-0) 7.5

This course intends to improve the basic materials science knowledge. In this course the properties of advanced materals and their manufacturing processes will be investigated in detail. Properties and production of functional materials, porous materials, shape memory alloys, hydrogen storage devices, electrochemical batteries and  solar cell materials.


ME  521  Composite Materials                                                                                        (3-0) 7.5

In this course the preliminary focus will be directed on the main material types (metal, ceramic, polimer, natural materials). Following that the composite materials made from these given basic material types will be investigated in deep. Metal matrix composites (MMC), Ceramic matrix composites (CMC), polymer matrix composites (PMC) as a primary concern but also the composites finding practical applications in daily life, and their properties will be investigated.


ME 522  Welding Metallurgy                                                                                           (3-0) 7.5

In this course the importance of welding metallurgy on manufacturing process togeter with the thermal, chemical and mechanical aspects of welding will be explained. The metallurgical aspects of welding in three different regions of the weld: the fusion, partially melted and heat-affected zones will be analzed, and important relationships between microstructural aspects, properties and performance of the weld during processing and use will be established in detail.


ME581 – Special Topics in Mechanical Engineering  I                                                    (3-0)7.5

Special topics of current interest which are not included within the other courses of the graduate program in Mechanical Engineering. 

ME582 – Special Topics in Mechanical Engineering  II                                             (3-0) 7.5

Special topics of current interest which are not included within the other courses of the graduate program in Mechanical Engineering.   

ME 597 Thesis  Seminar                                                                                               (3-0) 7.5

Seminars will held by academics who conduct research in various areas of Mechanical Engineering and the students who make progress towards completion of their thesis.


ME 598  Graduation Project                                                                                                15 ECTS

Students individually or in groups, choose, define, formulate, and resolve a real mechanical engineering problem, preferably from an industrial firm. Oral presentation and report required. An advisor will be assigned to supervise the students.


ME 599-I  Master’s Thesis                                                                                                   30 ECTS

Students individually prepare thesis under supervision of a faculty member. Thesis topic will be determined by a student and a faculty member who agrees to supervise the student.


ME 599-II  Master’s Thesis I                                                                                                30 ECTS

Students individually prepare thesis under supervision of a faculty member. Thesis topic will be determined by a student and a faculty member who agrees to supervise the student.