UNDERGRADUATE COURSE DESCRIPTIONS
Edwards 8 Penney, Calculus and Analytic Geometry
MATH 002 Intermediate Calculus 13-la41
Further development of integration; inverse trigonometric and logarithmic functions;
techniques of integration; improper integrals; infinite series, Taylor's series; coordinate systems; parametric equations; introduction to differential equations.
Exclusions : AL Pure Mathematics with grade C or better, MATH 006 Prerequisite : MATH 001
Textbook : As for MATH 001
MATH 005 Algebra and Calculus I 13-1 -0:4]
Review of aspects of algebra and analytic geometry essential to the study of calculus.
lntroduction of basic concepts of functions, limits, continuity and derivatives with applica- tionsto management, socialscience and biomedical science. Applications to optimisation.
Exclusions : HKCEE Addiional Mathematics with grade C or better, AL Pure Mathematics, MATH 001
Prerequisite : Less than acceptable standing in HKCEE-Level Mathematics Textbook : Geoffrey C. Berresford, Calculus with Applications to the Man-
agement, Social, Behaviorial, and Biomedical Sciences
Undergraduate Course Desm>tions
MATH 006 Algebra and Calculus II [3-1-0:4]
Continuation of MATH 005: an introduction to elementary integration theory and related techniques, functions of several variables and partial derivatives with applications.
Exclusions : HKCEE Additional Mathematics with grade C or better, AL Pure Mathematics, MATH 001, and MATH 002
Prerequisite : MATH 005 Textbook : As for MATH 005
MATH 101 Multivariable Calculus [3-1-0:4]
Sequences, series, gradients, chain rule. Extrema, Lagrange multipliers; line integrals, multiple integrals. Green's theorem, Stroke's theorem, divergence theorem; change of variables.
Prerequisite : AL Mathematics or MATH 002 Textbook : Lang, Calculus of Several Variables
MATH 102 Introduction to Analysis [3-1-0:4]
Real and complex number systems, basic topology, numerical sequences and series, continuity, differentiation, Riemann-Stieltjes integral, sequences and series of functions, and other topics if time permits.
Prerequisite : MATH 101
Textbooks : W. Parzynski and P.W. Zipse, lntroduction to Analysis, and
K.G.
Binmore, Mathematical Analysis : a Straighffoward Ap- proachMATH 103 Ordinary Differential Equations [3-1-0:4]
Existence and uniqueness theorems of ordinary differential equations; theory of linear systems; stability theory; study of singularities; boundary value problems.
Prerequisites : MATH 101 and MATH 11 1
Textbook : Hirsch and Smale, Differential Equations, Dynamical Systems and Linear Algebra
MATH 110 Concepts in Mathematics [24-0:2]
Expository lectures and discussion on basic mathematical concepts and ideas, historical developments in various areas of mathematics, and selected trends and advances of mathematical sciences. (Graded either P or F).
Prerequisite : MATH 002
MATH 1 1 1 Linear Algebra [3-1-0:4]
Vector spaces, linear transformations, matrices, system of linear equations, bases, determinants, inner products, eigenvalues, bilinear forms, decompositions of matrices.
Prerequisite : AL Mathematics or MATH 002
Textbook : Friedberg, lnsel and Spence, Linear Algebra
Under~raduate Course DesdDtions
Logic : propositions, axiomatisation of propositional calculus, deduction theorem, com- pleteness and soundness. Combinatorics : permutations and combinations, generating functions. Set theory : basic operations on sets, relations, countable and uncountable sets.
MATH 151 D i r e n t i a l Equations and Applications [3-1441 First and second order differential equations, higher order equations, Laplace transform method; series solutions; Sturm-Liouville equation; Bessel functions and Legendre polynomials; numerical solution of initial and boundary value problems.
Prerequisite : MATH 002
Textbook : Boyce and DiPrima, Elementary Differential EquationsandBound-
I ary Value Problems
MATH 152 Applied Linear Algebra and D i r e n t i a l Equations [3-1441 ine ear dependen&; norms; solution of linearsystems;orthogonal projections; eigenvalues and eigenvectors; singular value decomposition; iterative solutions; systems of first order linear equations; partial differential equations and Fourier series.
Prerequisite : MATH 151
Textbooks : Ben Noble and James Daniel, Applied Linear Algebra, and Boyce and DiPrima, Elementary Differential EquationsandBound-
ary Value Problems
MATH 204 Complex Analysis [3-1 4 4 1
Complex differentiability; Cauchy-Riemann equations; contour integrals, Cauchy theory and consequences; power series representation; isolated singularities and Laurent series; residue theorem; conformal mappings. Additional topics as chosen by the instructor.
Prerequisite : MATH 101
Textbooks : Bak and Newman, Complex Analysis, Lang, Complex Analysis, and Ahlfors, Complex Anlaysis
MATH 225 Mathematical Logic [3-1441
Propositional and predicate calculus; consequence and deduction; truth and satisfaction;
Godel completeness theorem; Lowenheim-Skolem theorem; Boolean algebra; axiomatic theories.
Prerequisite : MATH 11 1
MATH 231 Numerical Analysis [3-1441
Basic numerical analysis, including stability of computation, linear systems, eigenvalues and eigenvectors, nonlinear equations, interpolation and approximation, numerical inte- gration and solution of ordinary differential equations, optimisation. A short course on
MATH 241 Probability [3-1-0:4]
Basic probability theory. Sample spaces; random variables; normal, Poisson and related distributions; expectation; correlation; limit theorems. Applications to biology, physics, communication sciences and other fields.
Prerequisite : MATH 101
Textbook : Ross, A First Course in Probability
MATH 243 Mathematical Statistics [3-1-0:4]
Central limit theorem; point estimation; interval estimation; multivariate normal distribu- tions; testing of hypotheses; linear models.
Prerequisite : MATH 241
Textbook : Hoel, Port and Stone, Introduction to Statistical Theory
MATH 244 Applied Statistics [3-1-0:4]
A systematic introduction to statistical inference, including the necessary probabilistic background; point and interval estimation; hypothesis testing.
Prerequisite : MATH 002 or AL Pure Mathematics
~extbdok : Hines and Montgomery, Introduction to Probability and Statistics in Engineering and Management Science
MATH 281 Introduction to Operations Research [3-1-0:4]
Linear programming; simplex method; duality theory; network analysis; dynamic pro- gramming; game theory; integer programming; stochastic processes; queueing theory;
inventory theory; forecasting; decision analysis.
Prerequisite : MATH 241 or MATH 244
Textbook : Hiller and Lieberman, Introduction to Operations Research
MATH 301 Real Analysis [3-1-0:4]
[Previous Course Code: MATH 2011
Stone-Weierstrass theorem; some special functions; metric spaces, uniform conver- gence; functions of several variables; Dourier series and additional topics chosen by the instructor.
Prerequisites : MATH 101 and MATH 102 preferred.
Tegbook : Rudin, Principles of Mathematical Analysis
MATH 302 Integration Theory [3-1-0:4]
[Previous Course Code: MATH 2021
Lebesgue measure. Lebesgue integral. Differentiation and Integration. lntroduction to general abstract measure theory and integration.
Prerequisite : MATH 301
Textbook : H.L. Royden, Real Analysis
Fortran may also be given.
Prerequisite : MATH 1 1 1 or MATH 152
Textbook : Kahaner, Moler and Nash, Numerical Methods and Software
Unakygraduate Course Descriptions
MATH 305 Introduction to Functional Analysis [3-1441 Normed space; inner product space; topological vector spaces; closed graph theorem;
Hahn-Banach theorem; principle of uniform boundedness; LP space; elementary Banach space theory; contraction principle and its applications to differential and integral equations and numerical analysis.
Exclusion : MATH 301 prior to 1992 Prerequisites : MATH 301 and MATH 302
Textbook : G.F. Simmons, Introduction to Topology and Modern Analysis
MATH 306 Partial Differential Equations [3-1441
Classification of partial differential equations; first order equations; second order linear equations;
re en's
functions; maximum principles; characteristics; Riemann's method;well-posed problems.
Exclusion : MATH 302 prior to 1992 Prerequisites : MATH 101 and MATH 11 1
Textbook : Copson, Partial Differential Equations
MATH 307 Dynamical Systems [Previous Course Code: MATH 3031
Modern development of dynamic systems; Hamiltonian systems; dissipative systems;
bifurcations; strange attractors; chaoticsystems; fractals; Hausdorffdimension; Lyapunov exponents.
Prerequisites : MATH 151 ; MATH 301 and MATH 352 are desirable.
MATH 31 1 Abstract Algebra I [3-1441
[Previous Course Code: MATH 21 11
An introduction to the principles and concepts of modern abstract algebra. Topics include groups, rings, modules, fields and Galois theory.
Prerequisite : MATH 11 1
Textbook : Herstein, Topics in Algebra
MATH 312 Abstract Algebra II [Previous Course Code: MATH 21 21
General properties of groups and mappings; Cayley's theorem; representation of groups, Maschke's theorem; Schur's lemma; representation of Abelian groups; the character of a group representation; group algebra and the regular characterf orthogonality relations, physical applications.
Prerequisite : MATH 31 1
Textbooks : Jacobson, Basic Algebra I, and
Jones, Groups, Representations and Physics
Undergraduate Course Descriptions
MATH 315 Number Theory and Applications [3-1-0:4]
Prime numbers; unique factorisation; modular arithmetic; quadratic number fields; finite fields; p-adic numbers; coding theory; computational complexity.
Exclusion : MATH 31 2 prior to 1992 Prerequisite : MATH 31 1
Textbooks : Ireland and Rosen, A Classical Introduction to Modern Number Theory, and
Niven, Euckerman, Montgomery, An lntroduction to the Theory of Numbers
MATH 321 Differential Geometry [3-1-0:4]
[Previous Course Code: MATH 2211
Differential forms, curvature and torsion of curves; Frenet-Serret frames; global properties of closed curves; Gaussian curvature and mean curvature; geodesics; minimal surfaces;
Gauss-Bonnet theorem.
Prerequisite : MATH 101
Textbook : Do Carmo, Differential Geometry of Curves and Surfaces
MATH 323 Topology
[Previous Course Code: MATH 2231
~ o ~ o l o ~ ~ of Euclidean spaces; winding number; knot theory; fundamental group and covering s m s : Euler characteristic: sim~licial .
.
com~lexes; classification of two-dimensional manifolds;vector fields; PoincareHopf theorem.
Prerequisites : MATH 101 and MATH 11 1
Textbooks : Blackett, Elementary Topology: A Combinatorial and Algebraic Approach, and
Armstrong, Basic Topology
MATH 325 Algebraic Topology [3-1-0:4]
[Previous Course Code: MATH 3211
Homotopy theory; covering spaces and vibrations; simplicia1 and CW complexes; mani- folds; homology theories; universal coefficients and Kunneth formulas; Hurewicz theo- rem; applications to fixed point theory and other topics.
Exclusion : MATH 321 prior to 1992 Prerequisite : MATH 323
MATH 331 Numerical Solutions of Partial Differential Equations [3-1-0:4]
An introduction to finite difference and finite element methods for the solution of elliptic, parabolic and hyperbolic partial differential equations; will include the use of computer software for the solution of differential equations.
Prerequisites : MATH 151 and MATH 231
Textbook : Sewell, The Numerical Solution of Ordinary and Partial Differen- tial Equations
Undergraduate Course Desm'Dtions Undermaduate Course DescriDtions
MATH 333 Introduction to Scientific Computation [3-1441 A variety of projects drawn from diierent areas of scientific application to demonstrate the use of computers as a tool to solve real problems. Mathematical concepts, scientific contents, numerical techniques, computer programming and graphics are integrated into a coherent perspective.
Prerequisite : MATH 231
MATH 335 Applications of Mathematical Software [3-1-0:4]
Scientific computation analytically and numerically using standard mathematical and symbolic software packages. Topics include: matrix computation, definite and indefinite integration, perturbation expansions, solutions of ordinary and partial differential equa- tions.
MATH 351 Functions of a Complex Variable and Applications [3-1441 [Previous Course Code: MATH 2511
birrerentialbn and integ-n in the c&nplex plane; Cauchy's integral formula; Taylor series;
Laurent series; analybc continuation; contour integration; conformal mapping; special functions;
integral transforms; asymptotic methods.
Prerequisite : MATH 151
Textbooks : Fisher, Complex Variables, and
Churchill and Brown, Complex Variables and Applications
MATH 352 Applied Partial Differential Equations [3-1-0:4]
[Previous Course Code: MATH 2521
Methods to solve the Laplace equation, the wave equation and the diffusion equation;
separation of variables; integral transforms; Green's function; characteristics; variational method.
Prerequisite : MATH 351
Textbook : Sneddon, Elements of Partial Differential Equations
MATH 395 Scientific Computation Project I [OQ9:3]
A scientific computation project under the supervision of a faculty member from any department. Projects may be from fluid mechanics, structural dynamics, chemistry, statistics, etc.
MATH 396 Scientiiic Computation Project II [O-O-l8:6]
A scientific computation project under the supervision of a faculty member from any department. Projects may be from fluid mechanics, structural dynamics, chemistry, statistics, etc.
MATH 398 Independent Study Project [2-3 credits]
Conducted under the guidance of a faculty member, the scope may include (i) identifying a non-textbook problem and proposing methods of solution, and (ii) acquiring a specific research skill. The course may be repeated for credit, but the total number of credits may not exceed 6.
MATH 399 Undergraduate Thesis [0-0-9:3]
Thestudent can work in any areaof mathematics underthe guidance of afaculty member.
The thesiseither surveys a research topicor describes asmall research project completed by the student.
DEPARTMENT OF MECHANICAL ENGINEERING
Explanations of prerequisites and exclusions can be found on page 23.
MECH 101 Mechanics of Solids [3-1-0:3]
lntroduction to mechanics of rigid and deformable bodies; 3-dimensional force equilib- rium, geometric compatibility and constitutive behaviour. Applications of beams, shafts and other simple structures of engineering importance.
Exclusion : ClVL 112
MECH 102 Statics and Dynamics [3-1-0:3]
Study of statics, kinematics and dynamics of particles and rigid bodies in two-and three- dimensional spaces. Applications of Newton's Laws and energy methods to solve engineering problems.
Exclusion : ClVL 113
MECH 121 Fluid Mechanics I [3-1-0:3]
Basic equations of fluid mechanics; hydrostatics; conservation of mass, momentum, and energy; Bernouli's equation; incompressible inviscid flows; dimensional analysis; pipe flow; channel flow; boundary layers; vorticity and irrotational flows.
Exclusion : ClVL251
Prerequisites : MATH 101 and MATH 151
MECH 131 Thermodynamics [3-1-0:3]
Work, heat, energy change, equilibrium and reversibility; the first law and second law of thermodynamics; thermodynamics of coupled systems, entropy; the properties of pure substance, solid and gaseous phases.
Prerequisite : MATH 101
MECH 152 Design and Communication [2-0-0:2]
[Previous Course Code : MECH 2511
Design Methodology; design for manufacturing; design for assembly; material selection;
design communication.
Undenzraduute Course DescriDtzions Underpladuate Course Descri'Dtions
MECH 181 Measurement and Instrumentation [I -2431 Experimental techniques for measurement of fundamental system variables such as force, pressure, temperature, flow, and acceleration; physical principles of transducers and measurement circuitry, data acquisition and analysis techniques.
MECH 182 Experimental Methods [I -2431
Experimental course for all engineering students. Techniques for measurement of temperature, pressure, flow, force, acceleration, and data acquisition will be taught.
Laboratory experiments will provide hands-on experience.
MECH 191 Computer Models of Physical
Systems
[3-0-0:3]Reduction of physical and engineering systems to idealised computer models; selection of numerical algorithms to explore model behaviour; linear and nonlinear equations, curve fitting, integration, finite differences, finite elements,and initial-value problems.
Prerequisite : Working knowledge of FORTRAN, or C expected.
MECH 201 Introduction to Structural Mechanics [3-1431 Beam analysis and design subjected to axial, torsional, flexural and combined loadings;
principle of virtual work; energy and computational methods. Theory and application of finite element methods in structural analysis.
Prerequisite : MECH 101
MECH 221 Fluid Mechanics II [3-1-0:3]
lntroduction to the following topics: Compressible flow, shock wave, turbulence flow instability, flow with body forces, bluff body aerodynamics and wind tunnel.
Exclusion : ClVL 252 Prerequisite : MECH 121
MECH 231 Heat and Mass Transfer I [3-1431
Steady-state and transient heat conduction in solids, radiative heat transfer; heat and momentum transfer associated with laminarand turbulentflow ;mass transfer in stationary systems, in laminar and turbulent flows.
Prerequisites : MECH 131 and MECH 221
MECH 241 Materials Technology I [3-1-0:3]
Atomic bonding of materials; crystal structure and crystal defects; phase equilibria and phase transformation; heat treatment of metals.
MECH 242 Materials Technology II [3-1-0:3]
Diffusion in solid; elastic and plastic deformation; failure of engineering materials;
selection of engineering materials.
Exclusion : MECH 241 prior to 1992 Prerequisites : MECH 101 and MECH 241
MECH 243 Chemical Physics of Materials [3-1-0:3]
Behaviour of electron in solids; lattice dynamics; thermal, electrical, optical, and magnetic properties; semiconductors and superconductivity.
Prerequisite : MECH 241
MECH 252 Elements of Mechanical Design [2-0-4:3]
Examination and practice in the application of mechanical design elements, including bearings, shafts, cams, followers, linkages, gear trains, power transmission elements, motors and prime movers and their control elements
Prerequisite : MECH 102
MECH 261 Control Principles 13-1-1 :4]
lntroduction to block diagrams, signal flow graphs, state-space systems, transient response using convolution integral and root locus, frequency response methods.
Application of performance indices, error criteria and controller realisation methods.
Prerequisite : MECH 102
MECH 262 System Dynamics [3-1-0:3]
lntroduction to system equations, simple discrete models for mechanical, thermal, hydraulic, and electrical systems; block diagrams, signal flow charts, and state-space systems; Laplace transform; transient and steady state response in time-domain;
frequency response methods.
Prerequisite : MECH 102
MECH 271 Manufacturing Processes and Systems [2-0-3:3]
Manufacturing processes for metals, polymers, ceramics and composite materials;
manufacturing systems, automation technology, design and manufacturing integration, computer applications; principles and techniques for quality assurance.
MECH 272 Seminar on Design and Manufacturing [O-2-0:2]
[Previous Course Code: MECH 1721
Speakers will be invited from industry. The purpose is to give students first-hand knowledge of the methodology and philosophy of design and manufacturing in local industry.
Undergraduate Course Descriptions
MECH 281 Materials Laboratory [I -2-431
Study of materials microstructure by light, x-ray, and electrons. ~elationshi~-between structure, processing, and performance. Applications of light microscopy, Xdiffraction, and transmission and scanning electron microscopy.
MECH 283 Laboratory I (Thennofluid Experiments) [I -o-S:3]
To demonstrate fluid and thermodynamic principles and to provide hands-on training for students. Experiments include free jet, energy losses in pipes and bends,free and forced convection, radiative heat transfer, etc.
Prerequisite : MECH 182
MECH 284 Laboratory II (Solids and Materials Experiments) [1-0-6:3]
This course has two parts. The first covers practices of instrumentation and sensor technology on experimental design and implementation for solids. The second part covers the study of material microstructure.
Prerequisite : MECH 182
MECH 290 Engineering Internship [3 credits]
Participation in approximately three months of practical work in manufacturing, engineer- ing, andlor research and development at an industrial plant or government agency.
MECH 291 Numerical Methods for Engineering [3-0-0:3]
Introduction to basictechniquesfor efficient solution of numerical problems. Root finding, integration, function approximations, differential equations, dire& and iterative methods in matrix theory, optimisation with constraints and numerical stability analysis.
MECH 301 Fracture Mechanics [3-1431
Linear-elastic fracture mechanics; plastic deformations; R-cuwes; crack opening dis- placement; fatigue and creep.
Prerequisites : MECH 101 and MECH 201
MECH 302 Noise and Vibration Control [3-1-0:3]
Free and forced vibration of single- and multidegree of freedom undamped and damped systems; modal analysis and matrix formulation of vibration of continuous systems; sound and noise generation and transmission.
Prerequisite : MECH 102
MECH 321 Environmental Engineering [3-0-0:3]
Global and local cycles in the hydrosphere, atmosphere, and biosphere. Energy and materials balance in environmental problems. Pollutant sources and control technology.
Dispersion of pollutants. Air quality.
rlnderv~aduate Course DesnnDtions
MECH 331 Heat and Mass Transfer II [3-0-0:3]
More advanced discussion of conduction, radiation free and forced convection, conden- sation, boiling, heat exchange design, and heat transfer in nuclear reactors.
Prerequisite : MECH 231
MECH 332 Building Services [3-1-0:3]
Airconditioning, refrigeration, ventilation, solar energy, liftservices, fire regulation, smoke detector, fire services, intelligent building and lighting.
Prerequisites : MECH 221 and MECH 231
MECH 333 Energy Conversion [3-0-0:3]
Thermodynamics of combustion, chemical equilibrium, refrigeration, and mixtures of gases. Analysis of power generation, propulsion systems. Performance of modern steam plants, gas turbines, internal combustion engines and refrigeration plants.
Prerequisites : MECH 131 and MECH 221
MECH 341 Ceramics [3-0-0:3]
Effects of structures, mechanical and physical properties in ceramics; ceramics defects, and phase equilibria.
Prerequisites : MECH 241 and MECH 242
MECH 342 Polymers [3-0-0:3]
Physicochemical, mechanical, and rheological properties of polymers. Modelling analy- sis, moulding, thermoforming, calendering and mixing. Processing-structure-property relationships.
Prerequisite : MECH 242
MECH 343 Materials Characterisation [3-0-0:3]
Analysis of materials by diffusion methods and microscopy. Instrumentation and laboratory techniques for x-ray diffraction and electron microscopy.
Prerequisite : MECH 242
MECH 344 Materials Processing [3-0-0:3]
Description of metal, polymer and ceramics processing; solidification, powder metallurgy and mechanical forming.
Prerequisite : MECH 241
MECH 351 CADICAM [3-2-4:3]
Modelling systems; data structures; NC technology; NC machining; application inter- faces; computer graphics; project.
Undergraduate Course Desmptions
MECH 371 Introduction to Robotics [2+3:3]
Rigid body motion; forward and inverse kinematics; manipulator ~acobians; f o r k relation;
dynamics and position control robot manipulators; force control and trajectory generation;
collision avoidance and motion planning; robot programming language.
Exclusion : ELEC 374
MECH 397 Design Project [O-O-10:4]
Practises engineering design through a design project specifically chosen to integrate significant portions of material covered in the prerequisite courses. Introduction to human machine interactions, economics, and patent laws.
Prerequisites : MECH 102, MECH 131, MECH 241 and MECH 252
MECH 398 Project Laboratory [I M : 3 ]
[Previous Course Code : MECH 3811
Emphasis on interplay between analytical and experimental methods in the solution of research and development problems. The communication (written and oral) of results is a strong component of the course.
Prerequisites : MECH 182, MECH 283 and MECH 284
DEPARTMENT OF MANAGEMENT
Explanations of prerequisites and exclusions can be found on page 23.
MGMT 11 1 Business Statistics [3-10:4]
[Previous Course Code : BlNF 11 11
Collection, tabulation and presentation of numerical data; concepts of probability and probabiltty distributions; sampling; statistical estimation and hypothesis testing; correla- tion and regression analysis.
MGMT 221 Organisational Behaviour [4-0:4]
Human behaviour and behavioral issues in organisations studied from the perspective of the individual member and that of the manager.
Exclusion : SOSC 371
MGMT 222 Organisational Development [4-0-0:4]
The processes of organisational change and development. Formation and change of organisational cultures; the history of and approaches to organisational development;
problems arising from growth; approaches, strategies, and techniques for hard and soft system change.
Prerequisite : MGMT 221
Undergraduate Course Desdptions
MGMT 223 Multinational Corporations [4-0-0:4]
Analysing the economic, social, cultural, legal and technological environments of multi- national corporations.
Prerequisite : MGMT 221
MGMT 224 Business Ethics and Policy [4-0-0:4]
Problems and challenges of managing business ethically. Social responsibility, ethics of consumer production and marketing, gender and race, pollution, health and safety, information and communication, politics, trans-national considerations and ethical policy.
MGMT 231 Human Resources Management [4-0-0:4]
Manpower planning, job analysis and design, recruitment, interviewing and testing, performance appraisal, wage and salary systems, other forms of compensation, health and safety at work, discrimination, succession planning, downsizing and controlling
Manpower planning, job analysis and design, recruitment, interviewing and testing, performance appraisal, wage and salary systems, other forms of compensation, health and safety at work, discrimination, succession planning, downsizing and controlling