Qualifying Exam (QE)

Qualifying Exam (QE)

Objective: General written exam to test master’s level knowledge.

Description: General test on 10 – 13 subjects. The student must answer 8 problems, and must complete the test in 4 hours. The passing criteria are that the student must have a score of 70% or better overall, and must pass with a 70% of the problems they choose in each part (must pass at least two math problem, at least three Major Core problems and at least one General Subjects problem). Students who score greater than 70% overall, but who fail one part of the exam (by not passing half of the problems attempted) will only have to re-take that part of the QE. The time allowed for re-taking only one part of the examination will be scaled appropriately (1 hour for math or general part, two hours for core part). Students who fail the qualifying examination on two occasions will be dismissed from the program.

When taking the QE and CE, students of Mechanical Engineering are permitted to use bound sets of class notes and one textbook per course. Students of Materials Science Engineering are permitted to use two handwritten formula sheets for each course being tested–no graphs are allowed. The use of solution manuals in any form is prohibited and constitutes forfeiture of the exam. Mechanical Engineering students taking materials related courses will follow requirements set for materials students for those courses. Materials Engineering students taking mechanical engineering related courses will follow requirements set for the mechanical students for those courses.

Timeline: A student who enters the Ph.D. program with a bachelor’s degree must take the QE no later than the beginning of Year 3. A student who enters the Ph.D. program with a master’s degree must take the QE no later then the beginning of Year 2. Students may petition for exceptions to the timeline in writing to the ME Department Graduate Committee. Any such request must have the prior approval of the student’s advisor.

Subjects

Mechanical Engineering:

Part I: Applied/Computational Math (answer 3 out of 6 questions from 3 subject areas, select 3 areas from following suggested subjects before the exam)

Root Finding Techniques; Solution of systems of algebraic equations; Interpolation and Extrapolation; Computational Methods for ODEs (associated course: EGM 5346)

Use of finite element method for solving problems in heat transfer, fluid dynamics, diffusion, acoustics etc. (associated course: EGM 5354)

Analytical methods for solving Differential Equations (ODE and PDEs) (associated course: EGM 5315)

Modeling of vibrational and dynamic systems using computational methods for partial differential equations (associated course: EGM 6422)

Use of computational methods for solving incompressible and compressible flow problems, stream function equations, with different boundary conditions (associated course: EML 6725)

Part II: Major (answer 4 out of 4 questions from 2 subjects)

Major areas (Select 2 subjects from one of following concentrations, declared before the exam)

Thermo/Fluid

Fluid dynamics including two-dimensional potential theory, the Navier-Stokes equations, applications to non-inertial reference frames, airfoils, etc. (associated course: EML 5709)

Use of computational methods for solving incompressible and compressible flow problems, stream function equations, with different boundary conditions (associated course: EML 6725)

Multi-dimensional heat conduction under steady and transient conditions including heat, mass and momentum transfer; radiation heat transfer; gas radiation; free and forced convection (associated course: EML 5152)

Thermodynamic approach to processes and engines; alternative formulations and Legendre transformations; Maxwell relations, first and second order phase transitions (associated course: EML 5103)

Mechanics/Materials

Unified approach to the analysis of continuous media using constitutive equations, mechanical behavior of materials and their usefulness in handling failure theories and composite materials (associated course: EGM 5615)

The physical properties of materials, including the influence of structure on properties, thermodynamics of solids and phase transformations and kinetics on microstructural development (associated course: EMA 5001)

Use of laws of thermodynamics and kinetics to solve problems in materials: diffusion transition state, field effects, phase diagrams, nucleation and growth (associated course: EMA 5106)

The mechanical behavior of composite materials used in the automotive, aircraft and sporting goods industries (associated course: EMA5295)

Vibration control and introduction to vibration of non-linear systems; multi degree-of-freedom systems; discrete and continuous systems (associated course: EML6223)

CAD/CAM/Design

Computer aided geometrical modeling of spatial mechanical systems (associated course: EML 5530)

Techniques of FFT, time series analysis and neural networks for identification of mechanical structures and machine diagnostics (associated course: EML 5385)

State-space equations of robots; controller design, stability analysis and performance comparison of robotics system (associated course: EML 5808)

Kinematic analysis of mechanisms and robot arms, geometric configurations, analytical and numerical methods in kinematics (associated course: EML 6805)

Part III: Breadth Area (answer 1 out of 2 questions from 2 subjects)

Select 2 subjects (different from those selected in Part I-II) from following concentrations, declared before the exam.

Mathematics

Subjects as listed above

Thermo/Fluid

Fluid dynamics including two-dimensional potential theory, the Navier-Stokes equations, applications to non-inertial reference frames, airfoils, etc. (associated course: EML 5709)

Use of computational methods for solving incompressible and compressible flow problems, stream function equations, with different boundary conditions (associated course: EML 6725)

Thermodynamic approach to processes and engines; alternative formulations and Legendre transformations; Maxwell relations, first and second order phase transitions (associated course: EML 5103)

Multi-dimensional heat conduction under steady and transient conditions including heat, mass and momentum transfer; radiation heat transfer; gas radiation; free and forced convection (associated course: EML 5152)

Mechanics/Materials

Unified approach to the analysis of continuous media using constitutive equations, mechanical behavior of materials and their usefulness in handling failure theories and composite materials (associated course: EGM 5615)

Fracture criteria, stress intensity factors and fracture evaluation (associated course: EGM 6570)

The physical properties of materials, including the influence of structure on properties, thermodynamics of solids and phase transformations and kinetics on microstructural development (associated course: EMA 5001)

Use of laws of thermodynamics and kinetics to solve problems in materials: diffusion transition state, field effects, phase diagrams, nucleation and growth (associated course: EMA 5106)

CAD/CAM/Design

Computer aided geometrical modeling of spatial mechanical systems (associated course: EML 5530)

Techniques of FFT, time series analysis and neural networks for identification of mechanical structures and machine diagnostics (associated course: EML 5385)

Kinematic analysis of mechanisms and robot arms, geometric configurations, analytical and numerical methods in kinematics (associated course: EML 6805)

Finite element analysis and sensitivity analysis combined with numerical single objective and multi-objective optimization techniques to optimize the design (associated course: EML 5509)

Vibration control and introduction to vibration of non-linear systems; multi degree-of-freedom systems; discrete and continuous systems (associated course: EML6223)

consult the graduate program director for any changes related to this list of courses

Materials Science and Engineering:

Part I: Materials Science and Engineering Fundamentals

Answer 4 out of 4 questions from following 2 core subjects (2 each subjects)

The physical properties of materials, including the influence of structure on properties, thermodynamics of solids and phase transformations and kinetics on microstructural development (associated course: EMA 5001)

Use of laws of thermodynamics and kinetics to solve problems in materials: diffusion transition state, field effects, phase diagrams, nucleation and growth (associated course: EMA 5106)

Part II: Materials Science and Engineering Specialty

Answer 4 out of 8 questions from 4 subjects (2 each subject) from following concentrations, declared before the exam:

Specialty Areas

Metals and Alloys

Advanced treatment of the mechanical behavior of solids; characterization of crystal plasticity, dislocations, point defects, grain boundaries, fracture creep and fatigue behavior (associated course: EMA 5104)

The mechanical behavior of composite materials used in the automotive, aircraft and sporting goods industries (associated course: EMA5295)

Energetics of phase transformation and spinodal decomposition, homogeneous and heterogeneous nucleation in solid state reactions, and martensite transformations (associated course: EMA 6126)

Advanced topics in physical and mechanical metallurgy including statics and dynamics of dislocations, plastic deformation of fracture, creep solidification, phase transformation, and heat treatment (associated course: EMA 6127C)

Micromechanics and mechanical processes in microscale, including fracture, reinforcement and delamination (associated course: EMA 6185)

Fracture criteria, stress intensity factors and fracture evaluation (associated course: EGM 6570)

Theoretical and practical aspects of material failure including failure modes, life prediction, corrosion with the goal of designing a safe product (associated course: EML 6233)

Electronic Materials

Nanotechnology based on materials engineering: energy bands in semiconductors, MOSFET scaling, materials processing and other applications (associated course: EMA 5016)

Quantum mechanical theories for electronic structure, superconductivity, and magnetism in solids and experimental / theoretical techniques in studies of phase transitions, surface phenomena, and electron properties(associated course: PHZ 6426)

Synthesis of ceramics, inorganic glasses and their microstructure as related to physical properties (associated course: EMA 5140)

Theoretical fundamentals and current state-of-the-art ceramic processing (associated course: EMA 5646)

Defect solid state and its relation to electrical properties of ceramics; solid electrolytes; theory of electron transport in metallic, semiconducting and insulating ceramics (associated course: EMA 6449)

Polymers

Polymers and the analytical techniques, including synthesis, characterization, state of polymers, plasma processes, X-ray diffraction, scanning and transmission electron microscopy (associated course: EMA 6165C)

Solid mechanics and mechanical behavior of polymers, including stress-strain relationships, stress transformation, beam bending, elasticity, plasticity and fracture (associated course: EMA 6264)

Standard and advanced processing methods, characterization of morphology, and reaction processing in polymer science (associated course: EMA 6665)

Analytical Techniques in Materials Science

Fundamental theories and techniques of the analytical methods for materials including: X-ray diffraction, scanning and transmission electron microscopy, thermal and surface analysis, and vacuum systems (associated course: EMA 5507C)

Principles of crystallography and x-ray diffraction to characterize crystalline solids (associated course: EMA 6516)

Principles of transmission electron microscopy; analysis of material structure and composition using TEM (associated course: EMA 6518)

Imaging and microanalysis of materials using scanning electron microscopy including EDS analysis (associated course: GLY 5287C)–Please note that use of this course will no longer be available as of the FALL 2011 Qualifying Examination.

Imaging and analysis of materials using electron microprobe with EDS Analysis (associated course: GLY 5288C)

Theoretical and experimental techniques of Auger electron spectroscopy, low energy electron diffraction, x-ray photoelectron spectroscopy, atomic force microscopy and scanning tunneling microscopy (associated course: PHZ 6437)

Nano Structured Materials

Fundamentals in science and engineering of nanomaterials (associated course: EMA 5015)

Nanotechnology based on materials engineering: energy bands in semiconductors, MOSFET scaling, materials processing and other applications (associated course: EMA 5016)

Synthesis, growth, transport, characterization and application of nanoparticles (associated course: EMA 5017)

Science of miniaturization including materials choices, scaling laws, different options to make very small machines and practical applications (associated course: EML 5290)

consult the graduate program director for any changes related to this list of courses