University of Michigan - Shanghai Jiao Tong University Joint Institute


  1. 2019年密西根学院研究生招生夏令营笔试说明(添加calculator and formula sheet说明)

    七月 5, 2019 by Ruan Die   分享:   人人网   打印

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    NO. Discipline Course Code & Title Reference Books Topics
    1 Design, Systems and Manufacturing Vm250 Design and Manufacturing I 1. Kalpakjian and Schmidt, Manufacturing Engineering and Technology, Forth (or Fifth) Edition, Prentice-Hall, 2001, ISBN: 0-201-36131-0
    2. Richard G. Budynas, J. Keith Nisbett, Shigley’s Mechanical Engineering Design, Tenth Edition, McGraw-Hill, 2014, ISBN: 978-0-070-339820-4
    1. Visualization, geometry modeling, and engineering drawing
    2. Computer Aided Design (CAD), Computer Aided Manufacturing (CAM)
    3. Geometric dimensioning and tolerances
    4. Customer requirement, QFD, concept selection, concept design
    5. Review of elementary statistics
    6. Mechanical elements (e.g., gears, bearings, springs, motors)
    7. Manufacturing processes
    8. Machine shop techniques, including safety
    9. Writing technical reports and making technical presentations
    2 Solid mechanics Vm211 Intro to Solid Mechanics R. C. Hibbeler, Statics and Mechanics of Materials, 4th Edition, Pearson, 2014. 1. Force system resultants and equilibrium of a rigid body,
    2. truss,
    3. Mechanical properties of materials,
    4. Axial load,
    5. Torsion,
    6. Bending,
    7. Transverse shear,
    8. Stress and strain transformation,
    9. Deflection of beams and shafts,
    10.Buckling of columns
    3 Thermal Fluids Vm235 Thermodynamics I Thermodynamics, by Cengel and Boles, 7th edition 1. Introduction and miscellaneous concepts and definitions: the main objects of this course; applications of thermodynamics in science and engineering, system, control volume, cycle, process, quasi-equilibrium, units, the zeroth law of thermodynamics
    2. Energy: total energy, internal energy, kinetic energy and potential energy, heat and work (different expressions for different systems), path and point function, the first law
    3. Pure substance behaviors: vapor, liquid and solid; phase equilibrium; equilibrium state surface (p-v-T surface), critical point, triple point, equations of state; applications
    4. Energy analysis of closed systems: enthalpy; energy balance relation, specific heat (for the gas and solid/liquid case)
    5. Mass and energy analysis of control volumes: the control mass and control volume viewpoints and their linkage, applications to different components (nozzle and diffuser, turbine and compressor, throttling valve), energy balance analysis for the unsteady processes, working principles of the steam power plant (heat engine) and refrigerator (heat pump)
    6. The second law of thermodynamics: the reversible and irreversible process; the K-P statement and Clausius statement; the Carnot cycle and Carnot principles; the thermodynamic temperature scale (proof of equivalence to the ideal gas law temperature)
    7 The concept of entropy; entropy generation; the calculation of entropy for typical systems; entropy and chaos at the micro-scale
    8. Main applications: in power and refrigeration systems, such as the Rankine cycle and the reheat cycle; deviation from the ideal cycles; in gas turbines and diesel engines, including some introduction of compressible flows; availability
    4 Circuits and Devices Ve 215 Introduction to Circuits Fundamentals of Electric Circuits, 5/e, Charles K. Alexander and Matthew N. O. Sadiku 1. Basic Concepts
    2. Basic Laws
    3. Methods of Analysis
    4. Circuit Theorems
    5. Operational Ampliers
    6. Capacitors and Inductors
    7. First—Order Circuits
    8. Second—Order Circuits
    9. Sinusoids and Phasors
    10. Sinusoidal Steady—State Analysis
    11. AC Power Analysis
    12. Three—Phase Circuits
    13. Magnetically Coupled Circuits
    14. Frequency Response
    5 Electromagnetics, Optics, and Photonics Ve230 Electromagnetics I Textbook: Field and Electromagnetics(2nd Edition), David K. Cheng, 清华大学
    出版社 9787302152125
    3.Time-varying fields: Faraday’s Law and displacement current.
    4.Maxwell’s equations in differential form.
    5.Traveling waves and phasors.
    6.Uniform plane waves.
    7.Reflection and transmission at normal incidence.
    8.Transmission lines.
    6 Communication, Signals & Control  Ve216 Intro to Signals and Systems Oppenheim, Alan, and Alan Willsky. Signals and Systems. 2nd ed. Prentice Hall, 1996 1. discrete-time and continuous-time signals,
    2. discrete-time and continuous-time Fourier series and transform representations,
    3. Laplace and Z transforms,
    4. sampling
    5. representations of linear,
    6. time-invariant systems (difference and differential equations, block diagrams, system functions, poles and zeros, convolution, impulse and step responses, frequency responses, Bode plot).
    7 Computer Science and Engineering Ve280 Programming and Elementary Data Structures No text book is used for this course. VE280 Slides: 1. Linux
    2. Developing Programs on Linux
    3. C++ Basics
    4. const Qualifier
    5. Program Taking Arguments
    6. Class Basics
    7. Inheritance and Virtual Functions
    8. Dynamic Memory Allocation, Overloaded Constructor, Default Argument, and Destructor
    9. Deep Copy
    8 Material Science and Engineering Vk250 Principles of Engineering Materials Materials Science and Engineering: An Introduction by William D. Callister, Jr. and David G. Rethwisch, 8th Edition, John Wiley & Sons, Inc., Hoboken, NJ, USA, 2010. ISBN: 978-0-470-41997-7 1. Atomic structure and bonding in solids
    2. Structures of crystalline solids
    3. Imperfections and diffusion in solids
    4. Mechanical properties
    5. Dislocation and strengthening mechanisms in metals
    6. Phase diagrams and kinetics of phase transformations
    7. Ceramic materials (structure, properties, applications, and processing)
    8. Corrosion and degradation
    9. Electrical properties
    10. Polymer and composites (structures, characterization, applications, and processing)
    9 Math
    (for all the discpliine groups)
    Vv214 Linear algebra
    Vv255 Calculus III
    1. S. Axler, Linear Algebra Done Right, (2nd Edition), Springer 1997.2. J. Stewart, Calculus, 6th Edition or higher, Brooks Cole 2015 (for 8th ed.) Linear algebra:
    1. Linear systems of algebraic equations (homogeneous and inhomogeneous systems, Gaussian elimination, solution space, solvability condition)
    2. Matrix algebra (multiplication, inverse, transpose, blocks)
    3. Determinants (Laplace expansion, interpretation as volume of parallelepipeds)
    4. Vector spaces (linear independence, span, basis, dimension)
    5. Metric, normed and Inner product spaces (induced metric, Cauchy-Schwarz inequality, induced norm, orthogonality, orthonormal basis, Gram-Schmidt orthonormalization)
    6. Eigenvalue Problem (eigenvalues, eigenvectors, diagonalization, spectral theorem for symmetric matrices, similarity)
    Multivariable calculus:
    1. Functions of multiple variables (limits, continuity, differentiability and derivative as linear approximation, partial derivatives and Jacobian, chain rule)
    2. Curves in R^3 (parametrization, tangent, normal and binormal vectors, curvature, torsion)
    3. Curvilinear coordinates (polar, cylindrical, spherical)
    4. Potential functions (gradient, directional derivative, tangent plane, Hessian, extrema, Lagrange multiplier method, line integrals)
    5. Vector fields (divergence and rotation/curl, line integrals, conservative fields, potential fields)
    6. Volume integrals in R^2 and R^3 (parametrization of domains, Fubini’s theorem and iterated integrals, substitution rule)
    7. Parametrized surfaces in R^3 (surface area, surface integrals of potential functions and vector fields)
    8. Theorems of Green, Gauß (divergence theorem) and Stokes


    Discipline Course Code & Title Calculator allowed One self-prepared formula sheet allowed?
    Design, Systems and Manufacturing Vm250 Design and Manufacturing I Yes No
    Solid mechanics Vm211 Intro to Solid Mechanics Yes No, but a fomula sheet will be provided by JI
    Thermal Fluids Vm235 Thermodynamics I Yes Yes
    Circuits and Devices Ve 215 Introduction to Circuits Yes Yes
    Electromagnetics, Optics, and Photonics Ve230 Electromagnetics I Yes Yes
    Communication, Signals & Control Ve216 Intro to Signals and Systems No No
    Computer Science and Engineering Ve280 Programming and Elementary Data Structures No No
    Material Science and Engineering Vk250 Principles of Engineering Materials Yes No, but a fomula sheet will be provided by JI
    Math Vv214 Linear algebra
    Vv255 Calculus III
    No No
    Important Notes:
    1. An acceptable calculator for use in the exam should be without advanced programmable functions.  Sample calculators include : 1) 得力D82TM, 2) 卡西欧FX-82ES PLUS A, or other calculators with similar function.  No cell phone can be used as calculator. 2. A self-prepared formula sheet can be brought for use during the exam.  The paper size is A4 (21 cm x 29.7 cm), and it can be written on BOTH sides.  This formula sheet must be signed by the student, and it needs to be turned in with the exam paper at the end of the exam.