Ph.D Program Course List

Compulsory Departmental Courses

Elective Courses

Elective Courses Taken From Other Departments



Compulsory Departmental Courses

- Technical Elective

MDES600 - Research Methodology and Communication Skills
The principles and practice of research design and data collection. Research methodology, experimental design, career options, professional ethics and academic integrity, and oral and written presentation techniques. The core of the course will be a structured, supervised "mini-research project" on a topic of the student's choice. Students will be required to perform a literature survey on their topic, construct a research proposal that includes an experimental design, and write a paper summary in the style of a formal scientific paper. Incremental deliverables will provide structure and feedback over the course of the semester. Each student will be required to find an outside reader for their literature survey and final paper. Additional assignments will include participating in class discussions, giving in-class presentations, preparing a research portfolio (including a CV), and creating a personal website.

ME 601 - Advanced Mathematics for Engineers
The objective of this course is to improve the skills of students in mathematics in advanced topic such as linear spaces and operators, matrix algebra, tensor fields, complex analysis and calculation of variations.

Elective Courses

ME610 - Computer Aided Machine Design
The objective of this course is to improve the research and communication skills of students early in their graduate program to help them better plan, conduct and present their research and thesis work.

ME611 - Nuclear Engineering I
Bu ders; atom enerjisi, radyoaktivite, nötron kesitleri, nötron-atom etkileşimleri, nötron saçılımı, çekirdek parçalanması ve kaynaşması tepkimeleri, nötron dağılımı teorisinin temel ilkeleri, nükleer santraller ve bunların sınıflandırılması konularını içermektedir.

ME612 - Nuclear Engineering II
The course covers time dependent diffusion theory, multi-group diffusion theory, neutron transport theory, fusion cross sections, fission and fusion reactors, nuclear power plant operation.

ME621 - Advanced Fluid Mechanics
Topics include mass conservation, momentum, and energy equations for continua; Navier-Stokes equation for viscous flows; similarity and dimensional analysis; lubrication theory; boundary layers and separation; circulation and vorticity theorems; potential flow; introduction to turbulence; lift and drag; surface tension and surface tension driven flows.

ME625 - Computational Fluid Mechanics
Classification of partial differential equations and formulation of well-posed problems. Discrete approximation of partial differential equations: stability, consistency, and convergence. Survey of methods for solving hyperbolic, elliptic, and parabolic problems. Governing equations of fluid dynamics. Finite-difference, finite-volume and finite-element formulations. Applications and programming of methods to one- and multi-dimensional flow problems

ME631 - Advanced Heat Conduction
The course covers the differential equation of heat conduction, boundary value problems, the method of separation of variables, heat conduction in semi-infinite and infinite domains, approximate analytical methods.

ME633 - Heat Transfer with Phase Change
The course covers the mathematical formulation of phase change problems, non dimensional parameters for phase change problems, analytical solutions of phase change problems. Integral method. Numerical solutions of phase change.

ME635 - Numerical Methods in Heat Transfer
The course covers the determination of the roots of equations numerically, solving nonlinear equation systems numerically, numerical integration, using finite difference methods for differential calculations, solving ordinary differential equations numerically, applying finite difference method to heat transfer applications, least squares method.

ME641 - Advanced Thermodynamics
The course covers first law of thermodynamics, second law of thermodynamics, entropy, exergy, reversible and irreversible processes, thermodynamic analysis of processes, power generation, entropy generation minimization.

ME651 - Energy Sources and Sustainability
The course covers the energy use in the view of sustainability, resource availability, technical performance, environmental effects, and economics. Fossil fuels: Coal, petroleum and natural gas; Renewable Energy Sources: Solar, wind, geothermal, tidal, biomass and hydro; and Nuclear Power. The course covers the relationships between the development of technology, energy resources, and energy technologies available today and understanding the future aspects.

ME652 - Energy Systems Optimization
The course covers the fundamentals of optimization, Graphical Optimization, Linear and Non-linear Programming, Unconstrained and Constrained Optimization, Global Optimization, MATLAB Applications, Case Studies in Energy Systems Engineering.

ME653 - Advanced Power Systems Analysis
The course covers the definitions of stability in energy systems, simulation methods, swing equation, equal area criterion, mathematical model of synchronous machines, excitation and mechanical regulator models, multi-machine system modelling, numerical methods, and stability analysis of a single and multi-machine systems.

ME654 - Advanced Topics in Energy Management
The course covers the fundamental concepts in energy management, Turkey's energy status, energy audit methodology, engineering economics, energy modeling, relations among energy environment economics, energy saving and demand management applications, building HVAC systems and energy efficiency, energy efficiency in industry, renewable energies and energy efficiency, related laws and regulations in energy efficiency.

ME661 - Theory of Continuous Media I
Review of tensor analysis and integral theorems. Kinematics of deformation, strain tensor, compatibility condition. Material derivative, deformation rate, spin and vorticity tensor. External and internal loads, Cauchy’s principle and stress tensors. Basic laws of continuum mechanics (conservation of mass, continuity equation, principle of linear and angular momentum, equations of motion, conservation of energy). First law of thermodynamics.

ME662 - Theory of Continuous Media II
Energy and virtual work equations, second law of thermodynamics, entropy, reversible and irreversible processes; theory of thermoelasticity, Gibbs relation; adiabatic and isothermal deformations; Clausius-Duhem inequality; constitutive equations, material symmetry restrictions; theory of viscoelasticity, theory of plasticity; applications.

ME665 - Computational Mechanics of Materials I
The course covers the fundamental concepts of computational mechanics of materials, including basic rheological models, elasticity, viscosity and plasticity concepts, basic numerical algorithms and discretization techniques. The course aims at presenting the fundamental concepts of computational mechanics of materials, including fundamental material models, numerical algorithms and discretization techniques.

ME666 - Computational Mechanics of Materials II
The course covers the important concepts of computational mechanics of materials, such as 3D constitutive approaches for elasticity, viscoplasticity, damage, fatigue and creep modeling, in addition to finite strain theory. The course aims at presenting several advanced topics of computational mechanics of materials, such as 3-D constitutive approaches for elastoviscoplasticity, fatigue, creep, damage modeling and finite strain plasticity.

ME667 - Theory of Plasticity
Vector and tensor calculus; general concepts about mechanics of materials - stress and strain concept; continuum deformation: displacement, strain and compatibility conditions; mechanics of continuous bodies: stress and stress equation of motion; elastic constitutive relations; inelastic constitutive relations; yield criteria, flow rules and hardening rules, crystal plasticity and the plasticity of soil, rock and concrete; rate independent plasticity; viscoplasticity; uniqueness and extremum theorems; limit analysis and shakedown theorems; applications. Large deformation plasticity.

ME668 - Theory of Metal Forming
Elements of the theory of plasticity, fundamentals of metal working, forging process, rolling process, extrusion process, drawing of rods, wires and tubes, sheet metal forming process, high energy rate forming.

ME669 - Theory of Metal Cutting
Introduction; machine tools and machining operations ?turning, drilling and milling, abrasive machining; mechanics of metal cutting; tool life and tool wear; economics of metal cutting operations; chip control; machine tool vibrations; grinding; manufacturing systems and automation; computer aided manufacturing.

ME671 - Advanced Tool Design
Tool design; tool materials; cutting tool design; workholding principles; jig design; fixture design; power presses; metal cutting, forming and drawing; tool design for inspection and gauging; tool design for joining processes; modular and automated tool handling; the computer in tool design; geometric dimensioning and tolerancing.

ME672 - Sheet Metal Forming and Die Design
Material properties, sheet deformation processes, deformation of sheet in plane stress, simplified stamping analysis, load instability and tearing, bending of sheet, simplified analysis of circular shells, cylindrical deep drawing, stretching of circular shells, combined bending and tension of sheets, hydroforming, introduction to finite element analysis of sheet metal forming operations, die design methodology, cutting and deep drawing dies.

ME673 - Distortion Engineering
Distortion, distortion potential, distortion potential carriers, compensation potential, production step based solutions, intelligent process chain design, predictive methods, use of in-situ measurement techniques and adaptive process control.

ME674 - Transport Phenomena in Materials Processing
Vector and tensor notations, momentum transport, equations of change for isothermal systems, energy transport, mass transport.

ME675 - Principles of Polymer Processing
Mechanical and physical properties of polymers, polymer melt rheology, elementary steps in polymer processing, shaping.

ME677 - Quality Control and Metrology
Elementary metrology, linear-angular and comparative measurement, instruments and gauges for testing straightness, flatness, squareness, parallelism, limits, fits and gauges, inspection, quality function in industry, fundamentals of statistical concept in quality control, control charts in S.Q.C., sampling inspection, operation characteristics (OC) curve.

ME678 - Global Automotive Manufacturing
The course prepares students to work virtually and collaboratively and develops the competency to build and lead global teams. It offers global content, integrates core elements of both automotive design and manufacturing, and provides students with an opportunity to develop depth in an engineering specialty as well as breadth in engineering and knowledge of basic management issues. Comprehensive knowledge in the product development and manufacturing of automotive systems together with thorough understanding of the fundamentals of Automotive Engineering and Science will be provided.

ME679 - Optimization Applications in Manufacturing Systems
Introduction to the nonlinear optimization and stochastic process modeling; mathematical fundamentals of nonlinear process optimization; structure optimization: topology, form and material; introduction to nonlinear finite elements; optimization of manufacturing systems with regard to tolerances and tool loadings; optimization of dynamical systems; introduction to process robustness and stochasticity; virtual modeling of stochastic systems; introduction to design of experiments; design optimization with robustness analysis; stochastic modeling of manufacturing systems in car body production; optimization code.

ME682 - Seminar
Each PhD student is expected to give a presentation on his/her thesis work and attend the seminars conducted by the other students and academic staff

ME683 - Boundary Element Method
Introduction; preliminary concepts: vector and tensor algebra, indicial notation; divergence theorem, Dirac delta function; singular integrals; Cauchy principal value integrals in 1 and 2D; boundary element formulation for Laplace equation; Laplace equation: discretization; boundary element formulation for elastostatics; elastostatics: discretization; fundamental solutions; numerical methods for singular integrals, analytical solutions; parallel solution strategy.

ME684 - Finite Element Analysis of Solids and Fluids I
Concepts of finite element analysis such as principle of virtual work, finite element solution procedures, heat transfer analysis, finite element analysis of solids, fluids and structures.

ME685 - Finite Element Analysis of Solids and Fluids II
Advanced concepts of finite element analysis such as solution methods and stability, nonlinear strain and stress measures, large deformations, iteration methods and path following techniques and coupled field problems.

ME689 - Qualification Exam
The contents of the required courses in the Ph.D program

ME691 - Thesis Proposal
The research area in the topic of Mechanical Engineering

ME696 - Special Studies on Thesis Subject
Literature review and field study on thesis subject

ME697 - Doctoral Thesis
Areas in the thesis protocol.

Elective Courses Taken From Other Departments

MDES 610 - Mathematical Modeling via Differential and Difference Equations
Differential equations and solutions. Models of vertical motion. Single-species population models. Multiple-species population models. Mechanical oscillators. Modeling electric circuits. Diffusion models. Modeling by means of difference equations.

MDES 615 - Analytical Probability Theory
Sigma-algebra of sets, measure, integral with respect to measure. Probability space. Independent events and independent experiments. Random variables and probability distributions. Moments and numerical characteristics. Random vectors and independent random variables. Convergence of random variables. Transform methods. Sums of independent random variables. Limit theorems.

MDES 618 - Probabilistic Methods in Engineering
Basic notions of probability theory. Reliability theory. Notion of a stochastic process. Poisson processes. Markov chains. Statistical inference.

MDES 621 - Numerical Linear Algebra
Floating Point Computations. Vector and Matrix Norms. Direct Methods for The Solution of Linear Systems. Least Squares Problems. Eigenvalue Problems. Singular Value Decomposition. Iterative Methods for Linear Systems.

MDES 630 - Estimation and Identification of Engineering Systems
Kalman filtering, nonparametric identification techniques and parameter estimation methods are the basic concepts of the course. Implementation of filtering algorithms on physical systems and collecting data from real systems will be experienced.

MDES 631 - Engineering Decision and Risk Analysis
• Basic notions of probability • Random variables • Functions of random variables: distributions, moments; first and second-order approximations. • Probability models for engineering analysis: Bernoulli sequence, Binomial distribution, Poisson and related distributions, Normal and related distributions, Extreme-value distributions, other distributions used in statistics. • Statistical inference • Regression and correlation analysis

MDES 640 - Advanced Theory of Engineering Design
Determination of the customer needs and the real design problem. Engineering creativity. Generation of innovative solution alternatives, and selection of the effective solution. Modularity in design. Collaboration in interdisciplinary design tasks. Concepts of systems, models, and strategies for purposeful activities. Design and control of design projects; organization of group interactions. A design project is required.

MDES 641 - Biomimetic and Bioinspired Engineering Design
Definitions, Terminology and Concepts in Biomimetics. Review of biological systems for kinematic and dynamic analysis, for structural analysis, and for behavioral modeling. Reverse engineering as applied to biological systems. Mapping concepts of biological systems on the engineering systems. Theories and application principles of modeling and scaling for engineering design. Case studies. Term design project assignments.

MDES 642 - Materials & Process Selection in Design
Design process. Steps of design. Design tools. Designing against failure. Materials & Process selection in design. Case studies in materials and process selection. Quality, Safety and Economical considerations. Material Property Charts. Multiple constraints and Conflicting Objectives, Selection of Material and Shape, Designing Hybrid Materials, Processes and Process Selection. Ecodata, Eco-audits and Tools. Economic Decision Making. Sustainability. Future options

MDES 650 - Advanced System Simulation
Discrete simulation models for complex systems, input probability distributions, random variable generation, statistical inferences, variance reduction, continuous processes, verification and validation, advanced models.

MDES 651 - Boundary Element Method Programming
Vector calculus; boundary value problems in mechanics; general outline of boundary element formulation; direct and indirect formulations; discretization – elements and integration; assembly and solution techniques; advanced techniques – dual reciprocity and multiple reciprocity, substructuring and boundary element-finite element coupling; parallel programming in boundary element method

MDES 652 - Design and Modeling of Casting & Solidification Processes
Theoretical Background including Fundamentals of Casting Process Modeling, Stress Analysis, Defect Formation, Microstructure Evolution, Thermophysical Properties, and Quick Analysis Techniques to Solve Casting Problems. Applications to Shape Castings, Ingot Castings and Spray Forming.

MDES 654 - DECISION MAKING ANALYSIS
Conflicting objectives in decision making. Decision problems under certainty. Utility theory for single-attribute and multi-attribute problems in decision analysis. Individual versus group decisions.

MDES 655 - LINEAR OPTIMIZATION
Sets of linear equations. Linear feasibility and optimization. Local and global optima. The Simplex Method and its variants. Theory of duality and the Dual-Simplex Method. Network-Simplex Algorithms. Computational complexity issues and interior-point algorithms.

MDES 656 - NON-LINEAR OPTIMIZATION
Linear algebra and polyhedral sets. Duality and the theorems of the alternative. Convex sets and convex functions. Line-search methods. Unconstrained optimization. Optimality conditions. Steepest descent, Newton, quasi-Newton and conjugate-gradient algorithms. Constrained optimization and optimality conditions. The reduced gradient method. Penalty and barrier methods. Interior point algorithms for nonlinear optimization.

MDES 662 - Advanced Natural Computing
Evolutionary Computing, Ant Colony Optimization, Particle Swarm Optimization, Artificial Bee Colonies, Cellular Automata, L-Systems, Artificial Life, DNA Computing

MDES 663 - Chemical Computations
Coordinate systems; definition of theory, computation and modeling; units used in computational chemistry; potential energy surfaces; theoretical structures; mathematical concepts; hardware and software; foundations of molecular orbital theory; semiempirical implementations; density functional theory; ab initio implementations, , thermodynamic properties

MDES 665 - Chemical Thermodynamics of Materials
Advanced treatment of the thermodynamic properties of inorganic materials. Laws of thermodynamics and their application to the chemical behavior of materials systems. Multicomponent systems, phase and chemical reaction equilibria. Thermodynamics of phase transformations. Introductory surface thermodynamics.

MDES 672 - Advanced Topics in Digital Image Processing
Review of image processing fundamentals, frequency and space domain image processing methods. Wavelets, multiresolution processing, and orthogonal transforms. Image and video compression standards. Image segmentation and representation. Nonlinear Image processing methods.

MDES 674 - SUPPLY CHAIN MANAGEMENT
Supply chain management purposes and processes; supply chain design, evaluation and measurement models; trends in strategic operations, procurement, and logistics applications within the supply chain.

MDES 677 - Advanced Artificial Intelligence
Intelligent Agents, Problem Solving by Searching, Informed/Uninformed Search Methods, Exploration, Constraint Satisfaction Problems, Game Playing, Knowledge and Reasoning: First- Order Logic, Knowledge Representation, Learning, Selected Topics: Evolutionary Computing, Multiagent Systems, Artificial Neural Networks, Ant Colony Optimization.

MDES 678 - THEORY OF CONTINIOUS MEDIA-I
Review of tensor analysis and integral theorems. Kinematics of deformation, strain tensor, compatibility condition. Material derivative, deformation rate, spin and vorticity tensor. External and internal loads, Cauchy’s principle and stress tensors. Basic laws of continuum mechanics (conservation of mass, continuity equation, principle of linear and angular momentum, equations of motion, conservation of energy). First law of thermodynamics.

MDES 679 - THEORY OF CONTINIOUS MEDIA-II
Energy an virtual work equations, Second Law of thermodynamics, entropy, reversible and irreversible processes. Theory of Thermoelasticity, Gibbs relation. Adiabatic and isothermal deformations. Clausius-Duhem inequality. Constitutive equations, Material symmetry restrictions. Theory of Viscoelasticity, Theory of Plasticity. Applications

MDES 683 - THEORY OF PLASTICITY
Vector and tensor calculus; general concepts about mechanics of materials - stress and strain concept; Continuum deformation: displacement, strain and compatibility conditions; Mechanics of continuous bodies: Stress and stress equation of motion; Elastic constitutive relations; Inelastic constitutive relations; yield criteria, flow rules and hardening rules, Crystal plasticity and the plasticity of soil, rock and concrete; rate independent plasticity; viscoplasticity; uniqueness and extremum theorems; limit analysis and shakedown theorems; applications. Large deformation plasticity.

MDES 686 - Fundamental Principles of Tissue Engineering
Cell-tissue concepts, cell-tissue culture basic principles, tissue engineering, biomaterials, systems, proteins, biomaterial surface interactions, tissue microenvironment, organ lost and regeneration.

MDES620 - Numerical Solution of Differential Equations
Numerical solution of initial value problems; Euler, multistep and Runge-Kutta methods. Numerical solution of boundary value problems; finite difference methods. Stability, convergence and accuracy. Numerical solution of partial differential equations; finite difference methods for parabolic, hyperbolic and elliptic equations. Explicit and implicit methods, Crank-Nicolson method. Numerical solutions of system of ordinary differential equations. Convergence, stability and consistency analysis of the methods.

MFGE 505 - Practical Finite Elements (Linear Finite Element)
Introduction, background and application of finite elements; direct approach for discrete systems; strong and weak forms for one-dimensional problems; approximation of trial solutions, weight functions and Gauss quadrature for one-dimensional problems; finite element formulation for one-dimensional problems; finite element formulation for vector field problems-linear elasticity; plane strain/plane stress and axisymmetric problems, displacement based element formulation, the concept of isoparametric formulation; performance of displacement based elements and volumetric locking; reduced selective integration.

MFGE 547 - Mechanical Characterization of Metals I
Introduction, background and application of mechanical characterization metals; Review of the Mechanical Behavior Metals; Review of Mechanical Testing Equipment, Tensile Test; Compression Test; Hydraulic Bulge Test; High Temperature Mechanical Testing, Determination of Elastic Properties, Determination of Flow Curves, Determination of Planar Anisotropy.

MFGE508 - Boundary Element Method
Introduction, preliminary concepts, vector and tensor algebra, indicial notation, divergence theorem, Dirac delta function; singular integrals, Cauchy principal value integrals in 1 and 2D, boundary element formulation for Laplace equation, Laplace equation; discretization, boundary element formulation for elastostatics, elastostatics, discretizati

MFGE534 - Distortion Engineering
Distortion, distortion potential, distortion potential carriers, compensation potential, production step based solutions, intelligent process chain design, predictive methods, use of in-situ measurement techniques and adaptive process control.

MFGE541 - Theory of Metal Cutting
Introduction, machine tools and machining operations ?turning, drilling and milling, abrasive machining, mechanics of metal cutting; tool life and tool wear, economics of metal cutting operations, chip control, machine tool vibrations, grinding.

MFGE542 - Theory of Metal Forming
Elements of the theory of plasticity, fundamentals of metal working, forging process, rolling process, extrusion process, drawing of rods, wires and tubes, sheet metal forming process, high energy rate forming.

MFGE543 - Theory of Sheet Metal Forming and Die Design
Material properties, sheet deformation processes, deformation of sheet in plane stress, simplified stamping analysis, load instability and tearing, bending of sheet, simplified analysis of circular shells, cylindrical deep drawing, stretching of circular shells, combined bending and tension of sheets, hydroforming, introduction to finite element an

MFGE544 - Advanced Tool Design
Tool design; tool materials; cutting tool design; workholding principles; jig design; fixture design; power presses; metal cutting, forming and drawing; tool design for inspection and gauging; tool design for joining processes; modular and automated tool handling; the computer in tool design; geometric dimensioning and tolerancin

MFGE549 - Experimental Stress Analysis
Review of elasticity fundamentals, strain measurement methods, gauge selection, bonding surface preparation, strain gauge circuits, sources of error, strain gauge excitation levels, force, torque and pressure measurements, special-purpose gauges, rosette analysis, corrections for transverse effects, industrial applications.

MFGE560 - Pre-Stress Engineering
Residual stresses, measurement techniques, effect of residual stresses, residual stress control, pre-stressing techniques

MFGE561 - Surfaces and Interfaces
Interfacial forces, thermodynamics of interface, study of solid surfaces, interfaces between liquid and solid, surface cleaning methods, surface wear, plating and coating methods, marine biofouling, advances in anti-fouling marine and biomaterial surfaces, smart surfaces.

MFGE576 - Nonlinear Finite Element Method
Review of the linear FE-concepts, solution of nonlinear equations, one-dimensional nonlinear problems, two/there-dimensional rigid-plastic finite element solution, two/three-dimensional large-strain elasto-plastic FE-solutions.

MFGE577 - Quality Control and Metrology
Elementary metrology, linear-angular and comparative measurement, instruments and gauges for testing straightness, flatness, squareness, parallelism, limits, fits and gauges, inspection, quality function in industry, fundamentals of statistical concept in quality control, control charts in S.Q.C., sampling inspection, operation characteristics (OC) curve

MFGE579 - Optimization Applications in Manufacturing Systems
Introduction to the nonlinear optimization and stochastic process modeling, mathematical fundamentals of nonlinear process optimization, structure optimization: topology, form and material, introduction to nonlinear finite elements, optimization of manufacturing systems with regard to tolerances and tool loadings, pptimization of dynamical systems,