SCHEDULE of MASTER of SCIENCE DEGREE

HM500 Master of Science Thesis (Non-Credit)

HM501 Engineering Mathematics (3-0-0)

EZ 501 Research Methods (3-0-0)

HM590 Master of Science Seminar (Non-Credit)

1 Compulsory and 6 Elective Courses

 Total minimum Credit : 24

Number of Credited Courses (min.) : 8 

SCHEDULE of PHILOSOPHY of DOCTORATE

EZ 501 Research Methods (3-0-0) (Should be taken, if not taken during MS)

HM500 Master of Science Thesis (Non-Credit)

HM600 Philosophy of Doctorate Thesis (Non-Credit)

HM690 Research Subjects (Non-Credit)

Number of Elective Courses 8 hours

 Total minimum Credit : 21

Number of Credited Courses (min.) : 7
 

CONTENTS of GRADUATE COURSES

HM500 MSc Thesis                                                                                           Non-Credit

Program of research leading to M.S. degree arranged between the student and a faculty member. Students register to this course starting from the beginning of their third semester for researching and writing the thesis project.

Prerequisite: Courses specified by the Engineering Departments. 

HM501 Engineering Mathematics                                                                     (3+0+0)3

Linear Space and Operators. Matrix algebra. Tensor Fields. Complex Analysis. Calculations of Variations. Differential Equations; Power Series and Solution of Special Functions. Solutions of Boundary-Value Problems. Transformation Methods. Green Function. Partial Differential Equations.

Prerequisite: Courses specified by the Engineering Departments. 

HM503 Optimization Techniques in Engineering                                               (3+0+0)3

Basic Ideas. Functions with One Variable. Free Functions with ‘N’ Variables.  Forced Functions with ‘N’ Variables. Approach Techniques. Duality. Structural Optimization. General Design Applications.

Prerequisite: Courses specified by the Engineering Departments. 

HM504 Advanced Applied Numerical Methods                                                    (3+0+0)3

Matrix Solutions; Gauss Elimination, Jacobi, Gauss-Seidel, SOR , Kylov and Multigrid Methods. Interpolation Method. Numerical Integral Method. Numerical Differential Method; Finite Differences, Finite Element, Finite Volume Methods; Validity, Methods of Spectrum and Analysis of Wave Numbers. Methods for Ordinary Differential Equations; Validity and Stability. Error Analysis. Partial Differential Equations.

Prerequisite: Courses specified by the Engineering Departments. 

HM511 Viscous Flow                                                                                              (3+0+0)3

Basic Laws for Continuum.  Vortices Equation. Viscous Flow of Incompressible Fluids. Exact Solutions. Boundary Layer. Stability of Laminar Boundary Layer. Transition to Turbulent Flow. Boundary Layer of Compressible Fluids.

Prerequisite: Courses specified by the Engineering Departments. 

HM512 Advanced Gas Dynamics                                                                             (3+0+0)3

Unsteady 1-Dimensional Flow. Explosion Waves. Steady 2-Dimensional Flows. Similarity Rules at Subsonic Flows. Processes of Supersonic Flows . Method of Characteristics. Oblique and Normal Shock Waves.

Prerequisite: Courses specified by the Engineering Departments. 

HM513 Boundary Layer Theory                                                                                (3+0+0)3

Basic Laws and Navier-Stokes Equations. Exact Solutions of Navier-Stokes Equations. Dynamics of Vortices. Low Reynolds Number Flows. Similarity Solutions of Normal and Thin Boundary Layers. Techniques of Integral Solutions. Jet Wake Regions and Mixed Layers. Hydrodynamics Stability and Turbulence.

Prerequisite: Courses specified by the Engineering Departments. 

HM514 Potential Flow                                                                                                (3+0+0)3

Solving the Linear and Non-linear States of Potential Flow Equations.  Solutions of Oscillating, Random and Stable Flows Around the Profiles and Wings. Theodorsen, Wagner, Küssner and Cicala Functions.  Obtaining and Solutions of the Aerodynamics Coefficients Matrices.

Prerequisite: Courses specified by the Engineering Departments. 

HM515 Internal Fluid Mechanics                                                                                (3+0+0)3

General Characteristics of the Internal Flows Around the Compressors and Turbines. Unsteady Cyclic Flows. Theory of Rotors. Viscosity and Effects of Compressibility. Loses and Inefficiency. Secondary Flows. Instability of Turbo-Machine Flows.

Prerequisite: Courses specified by the Engineering Departments. 

HM518 Turbulent Boundary Layers                                                                            (3+0+0)3

Laminar and Turbulent Boundary Layer Equations. Falkner-Skan Transformations. Turbulence Models. Finite Difference and Interactive Methods for Boundary Layers. Numerical Solutions.

Prerequisite: Courses specified by the Engineering Departments.

HM519 Computational Fluid Dynamics                                                                       (3+0+0)3

Continuum Laws, Euler and Navier-Stokes Equations. Finite Difference Solutions of Parabolic, Elliptic and Hyperbolic Equations and Analysis of their Stability. Techniques of Obtaining Solutions Net. Analysis of Euler and Navier-Stokes Equations of 2-D and 3-D Compressible Viscous/Inviscid Flows. Finite Volume Method. “Flux-Vector Splitting” Method.

Prerequisite: Courses specified by the Engineering Departments. 

HM520 Advanced Heat  Transfer                                                                               (3+0+0)3

Advanced Analysis of Conduction, Convection and Radiation Heat Transfers.

Prerequisite: Courses specified by the Engineering Departments. 

HM522 Advanced Aircraft Engine Design                                                                  (3+0+0)3

Characteristics and Performance of Aircraft Engines. 2-D and 3-D Flows. Theories of Compressors and Turbines. Design and Performance Calculation of Aircraft Engines.

Prerequisite: Courses specified by the Engineering Departments. 

HM530 Advanced Aircraft Design                                                                              (3+0+0)3

Introduction. Methods of Aircraft Designs. Roskam Method of Aircraft Design. Specification of Aircraft Missions. Calculation of Aircraft Weights (Total Weight, Payload Weight, Fuel Weight etc.). Pre-sizing.

Prerequisite: Courses specified by the Engineering Departments. 

HM531 Fundamentals of Solid Mechanics                                                                  (3+0+0)3

Analysis of Deformations and Stresses. Introduction to Elasticity, Generalized Hook Law and Boundary Conditions. Principle of Minimum Potential Energy, Stresses; Torque, Bending and Shearing on Beams. Torque Analysis of Non-circular Beams.

Prerequisite: Courses specified by the Engineering Departments. 

HM532 Structural Dynamics                                                                                       (3+0+0)3

Introduction.  Lagrange Equations. Continuous Systems. Euler Equations for Beams. Finite Element Method.  Vibrations.  Superposition of Modes.  Method of Direct Integration.

Prerequisite: Courses specified by the Engineering Departments. 

HM533 Theory of Vibration                                                                                        (3+0+0)3

Free and Forced Vibrations. Characteristic Frequencies and Modes. Generalized Coordinates and Normal Modes. Free and Forced Vibrations of Simple and Continuous Systems. Axial and Torque Oscillation of Sticks.

Prerequisite: Courses specified by the Engineering Departments. 

HM534 Stability of Structures                                                                                     (3+0+0)3

Basic Elastic Stability Theory. Balance of Deformed Systems. Equilibrium of Stable and Unstable Conditions. Branching Points, Limit Points and Critical Loads. Energy Method. Rayleigh-Ritz Method. Stability of Straight Columns. Torque Analysis of Twisted Beams. Stability of Plates. Stability of Shells. Non-Linear Problems. Stability of Real Beams, Plates and Shells.

Prerequisite: Courses specified by the Engineering Departments. 

HM535 Aeroelasticity                                                                                                  (3+0+0)3

Introduction. Nature of Problems and Experiments. Errors Caused by the Flutter Effect. Flight-Flutter Tests.  Linear Theoretical Aeroelasticity Models.  Non-linear Theoretical Aero-elasticity Models.  Theories of Aerodynamics. Structural Behaviors of Turbulent Boundary under Variable Pressures. Comparison of Theoretical and Experimental Solutions.

Prerequisite: Courses specified by the Engineering Departments. 

HM537 Mechanics of Composite Materials                                                                 (3+0+0)3

Plastic Deformation of Materials, Stress Equations, Motion Equations. Stress and Plastic Deformation Equations of Layers. Strength of Fibred Layers. Hygro-Thermal Behavioral Analysis of Layers. Theories of Layered Beams. Classical Plate Theory and Analysis of Torque, Bending and Vibration Effects on Beams. Introduction to Linear and Elastic Refractions.

Prerequisite: Courses specified by the Engineering Departments. 

HM540 Finite Element Methods                                                                                  (3+0+0)3

Introduction. Basic principles of Finite Element Method. Principle of Minimum Potantial Energy. Coordinate Transformations. Unification and Application of Boundary Conditions. Analysis of joints and Frames. Space Joint Element.  Space Frame Element.  Plane Frame Element. Rod Element.  Analysis of Plates.  Membrane Element.  Bending Behavior of Plates. Shell Elements.  Using Softwares.  Application of Finite Element Method on Some Aircraft Structures. Vibration  Problems.

Prerequisite: Courses specified by the Engineering Departments. 

HM541 Mechanical Properties of Materials                                                                (3+0+0)3

Mechanical Behaviors of Composites, Ceramics, Polymers and Metals being used in the Field of Aeronautics. Simple and Joint Tensed Systems, Elastic and Plastic Behaviors, Mechanical Strengthen, Fatigue and Mechanical Tests.

Prerequisite: Courses specified by the Engineering Departments. 

HM551 Advanced Flight Mechanics                                                                             (3+0+0)3

Flight Mechanics and Advance Topics at Control. Optimum Control, Separate Data Control Systems. Aeroelasticity Effects. Pilot Models and Non-linear Effects.

Prerequisite: Courses specified by the Engineering Departments. 

HM552 Flight Control Systems I                                                                                  (3+0+0)3

Introduction  to Motion Equations of an Aircraft.  Stability and Dynamics of Aircraft. Dynamic Effects of Structural  Elasticity. Discomfiture Effecting Aircraft Motion.  Flight and Control.  Methods of Designing Control Systems.

Prerequisite: Courses specified by the Engineering Departments. 

HM553 Flight Control Systems II                                                                                (3+0+0)3

Stability of Complex Structures. Altitude Control Systems. Navigation Control Systems.  Active Control Systems.  Helicopter Flight Control Systems.  Digital Control Systems.  Adaptable Flight Control Systems.

Prerequisite: HM552 Flight Control Systems I. 

HM555 Advanced Flight Dynamics                                                                              (3+0+0)3

Reference Coordinates and Transformations. General Equations of Non-perpetual Motion and Applications on Aircraft, Helicopter and Space Vehicles. Stability Effects. Flight at Turbulent Atmosphere.

Prerequisite: Courses specified by the Engineering Departments. 

HM560 Avionics and Navigation Systems                                                                   (3+0+0)3

Navigation Element Related to the Position and Motion of an Aircraft. Ground Radio-Navigation Systems, Satellite Radio-Navigation Systems, Global Positioning System (GPS), Differential Global Positioning System (DGPS), Inertia Navigation System (INS), Gimballed Inertia Navigation System, Analitic (Strapdown) Inertia Navigation System, Air Data System, Doppler and Altitude Radars, Landing Systems, Joint Navigation Systems, GPS Supported Inertia Navigation System.

Prerequisite: Courses specified by the Engineering Departments. 

HM561 Linear Control Systems                                                                                   (3+0+0)3

Introduction to the Theory of Modern Control Systems. Equations of Position Variables and Position Space. Vectors. Canonical Forms and Independent Systems. Time Response of Position Space Systems. Transformation Methods. Control and Observation. Lyapunov Stability Analysis. Design of Control Element for Position Space.  Quadratic Optimal Control Systems.

Prerequisite: Courses specified by the Engineering Departments. 

HM590 Graduate Seminar                                                                                      Non-Credit

Presentation involving current research given by graduate students and invited speakers in the aim of increasing the interests of the other students about different subjects of aeronautics. This course is obligatory for the graduate students. 

HM600 Ph.D.Thesis                                                                                                  Non-Credit

Program of research leading to Ph.D. degree arranged between the student and a faculty member. Students register to this course in all semesters starting from the beginning of their fifth semester while the research program or write-up of thesis is in progress.

HM622 Hypersonic Aerodynamics                                                                            (3+0+0)3

Specialties of Hypersonic Flows and Inviscid Hypersonic Flow Theory. Similarities, Small Perturbation and  Surface Inclination Methods. Burst Waves Method, Low Density Aerodynamics, High Temperature Aerodynamics.

Prerequisite: Courses specified by the Engineering Departments. 

HM623 Turbulence                                                                                                    (3+0+0)3

Mass Averaged and Reynolds Time Averaged Navier-Stokes Equations, Related Problems, Turbulent Energy and Vortex Equilibrium. Internal and External Turbulent Flow. Statistical Turbulence Model. Transition from Laminar to Turbulent Flow.

Prerequisite: Courses specified by the Engineering Departments. 

HM624 Combustion                                                                                                   (3+0+0)3

Chemical Thermodynamics. Chemical Kinetics. Conservation Equations of Multi-Input Reactions. Detonation of Pre-Mixed gases. Laminar Flames of Pre-Mixed Inputs. Gas Diffusion Flames and Combustion of Liquid Droplets. Turbulent Flames. Combustion of Two Phase Systems. Chemically Reacted Boundary Layer Flow.

Prerequisite: Courses specified by the Engineering Departments. 

HM636 Theory of Plates and Shells                                                                          (3+0+0)3

Bending of Rectangular Plates. Simply Bended of Plates. Circular Plates. Simply Supported Rectangular Plates. Navier Solution. Different Boundary Conditions of Rectangular Plates. Approximate Solution Method of Plate Theory. General Theory of Cylindrical Shells.

Prerequisite: Courses specified by the Engineering Departments. 

HM638 Random Vibrations of Structures                                                                 (3+0+0)3

Probability Distribution, Averages, Group Averages. Correlations, Fourier Analysis. Spectrum Density Narrow and Wide Band Processes. Response of Linear Systems. Transfer of Random Vibrations. Statistics of Narrow Band Processes. Multi-Dimensional Spectrum Analysis. Response of Steady Linear Systems under Random Perturbations.

Prerequisite: Courses specified by the Engineering Departments. 

HM641 Materials Selection and Processing                                                              (3+0+0)3

Methods of Selection Processes for Materials being used at Aeronautical Industry. Methods of Determination of Risk and Cost Evaluations.

Prerequisite: HM541 Mechanical Properties of Materials.

EZ 501 Research Methods                                                                                        ( 3+0+0 ) 3

It is aimed to improve the students’ ability of thinking and studying scientifically and make them able to use the scientific method by staying away from every sort of prejudice at their studies and researches by this lesson. Method information, which will be able to carry on a research in scientific discipline and reach the conclusion, is given with this aim. Within this scope; the subjects, Information and Its Source, Definition of Science, Its Function and Sorts, Definition of Scientific Method and Its Basic Qualities, Definition of Research, Its Sorts and Qualities, Research Proposal and Report Preparation are discussed. Research subject is also examined in details and studied under the title of The Process and The Techniques of The Research as Introduction, Method, Findings and Interpretation, Abstract, Judgement and Proposals. In the Introduction part; Problem, Objective, Importance, Hypothesis, Restraint and Definitions, in the Method part; Research Model, Universe and Sample, Data and Their Collection, Handling, Solution and Interpretation of Data take place. In a research, content of Findings and Interpretation, Abstract, Judgement and Proposals and ‘how they should be written’ are discussed. Forming Bibliography, Indicating Bibliography, Techniques of Quotation are studied. Discussion of a Research Proposal and a Thesis Proposal which will be prepared by the students. In a scientific article, Title, Authors and their Addresses, Introduction, Short Summary, Material and Method, Conclusions, Writing of Acknowledgement, Forming of the Bibliography and Attribution to the Resources are discussed. How Scanning/Evaluation Article will be written is studied.

HM690 Research Subjects                                                            (Non-Credit)

HM7XX  Special Topics in Aeronautical Engineering                   (3-0-0)

HM8XX Special Studies in Aeronautical Engineering                  (Non-Credit)

HM9XX Advanced Studies in Aeronautical Engineering              (Non-Credit)