Content Simple and conditional probabilities up to Bayes Theo- rem. Discrete random variables and the common counting distri- butions viz Binomial, Geometric. Hypergeometric, Neg-Binomial and Poisson. Continuous random variables, cumulative distribu- tions, probability densities and such common continuous distribu- tions as the Negative Exponential, Gamma and Normal. Concept of population and sample and Statistical error. Methods of statistical estimation e.g. moments and maximum likelihood. Minimum variance unbiased estimators. Application of these ideas to the common distributions listed above: Statistical data processing.
Confidence intervals: Principles and practices. Hypothesis testing:
Principles and practices. AppUcation of the Binomial, Normal Student - T, Chi-square and F distributions to the constniction of confidence intervals and the testing of hypotheses. Some of the simpler distribution free methods: Sign and Wilcoxon tests and related meihods for the construction of conference intervals.
Goodness of fit testing via Chi-square and Kolmogorov-Smirnov methods:-Tests on contingency tables. Onewayanalysisofvariance and the associated basic hypothesis testing and confidence interval methods. Simple hnear regression. Two way analysis of variance and the associated testing and estimation procedures. The simpler elements of experimental design.
Assessment: A 3-hour examination at the end of the year which covers the whole course (50%), a 2-hour test at the end of the first semester (30%), and up to 100 pages of assignments (20%).
CIVIL AND ENVIRONMENTAL ENGINEERING
121-259 ENVIRONMENTAL POLITICS AND MANAGEMENT
Creditpoints: 12.5
Contact: Two 1 -hour lectures per week during one semester; 24 hou rs of seminars and practical work, some of vvhich may be in the field. (Firstsemester)
Objectives: Upon completion of this subject a student should:
• have an understanding of die state of the environment on a global, national and local level;
• understand the causes of environmental degradation, with a view to realizing what is required to change the situation in the future;
• have developed an awareness of pohtical and economic factors with regard to their interaction and how they influence decision making and pohcy development;
• be able to critically examine an issue and /or concept in terms of its ecological, physical, social and
economic impact on the environment;
• have acquired skills to enable the student to work effectively and co-or^rafively in a group situation;
• have enhanced oral presentation skills.
Content Technical and social dimensions of environmental deg- radation, particularly land degradation, water management, air and water pollution, resource sustainability. Relations between state, capital and pressure groups as expressed in conflict over resource exploitation.
Assessment A 3000 word essay (35%), a report on practical assignments of up to 2000words (25%) and one 2-hour examina- tion (40%).
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Faculty ofEngineering Civil and Environmenud Engineering
316-101 INTRODUCTION MACROECONOMICS See Economics and Commerce.
316-102 INTRODUCTORY MICROECONOMICS See Economics and Commerce.
400-203 MATHEMATICS FOR ENGINEERS 2A Credit points: 16.0
Contact:52lecmresand24nitorialsforUnits 1,2,3,&4. (AUyear) Objectives: At the end of this course students should know and have mastery of: Unit 1 - how to test sequences and series for convergence or divergence; how to use Taylor's theorem to find a series representation for an elementary function and to be able to use the remainder theorem; how to find the radius of convergence of a power series; how to calculate the eigenvalues and find the eigenvectors of a square matrix; the properties of diagonal, real symmetric, orthogonal matrices; how to diagonalise a real-sym- metric matrix; how to classify central conies and central quadrics.
Unit 2 - the concept of level curves and surfaces arising from a function of two variables; the partial derivatives of functions of several variables and the chain nde; applications of differentiation to maxima and minima, and tangent planes; applications of the gradientvectorand directional derivatives; applications of Lagrange multipliers; apphcations of iterated integrals to areas and volumes.
Unit 3 - the meaning and use of the main operators in vector calculus, namely the gradient, divergence and curl operators; how to evaluate line, surface and volume integraLs; the use ofthe integral theorems relating surface and line integrals, and volume and surface integrals; the use of tensor notation. Unit 4 - the use of least square errors to develop approximation to function; the use of Fourier series and transforms and a knowledge of how to use them;
how to solve differential equations with initial value specifications using Laplace Transforms.
Content: Unit 1 Seqtumces, Series & Matrices. Convergence and divergence of sequences and series, tests for convergence. Taylor's theorem and series representation of elementary functions.
Eigenvectors and eigenvalues, factorisation of matrices, diagonal, real-symmetric, Hermitian, unitary and orthogonal matrices, quad- ratic forms, definiteness of matrices.
Unit 2 Multivariable Calculus. Functions of several variables, level curves, heights. Partial deitvatives, total derivative, gradient vector, directional derivatives and apphcations. Chain rules. Coordinate transformations, Jacobi matrix and determinanL Maxima and minima of functions of several variables with constraints, Lagrange multipliers. Area and volume integrals, iterated integrals, Cartesian and polar coordinates in two and three dimensions.
Unit 3 Vector Analysis. Gradient, divergence, and curl of a vector.
Line, surface, and volume integrals. Integral theorems. Tensor notation.
Unit 4 Transform Methods. Fourier series and transform. Simple expansions: sine, cosine and exponential series, least square errors. Introduction to Fourier Transforms, discrete Fourier transforms. Laplace Transforms. Operational calculus and apph- cations including the solution of linear differential equations.
Assessment One 3 hour examination at the end of First Semester, covering Units 1 and 2. One 3 hour examination at the end of Second Semester, covering Units 3 and 4.
400-204 MATHEMATICS FOR ENGINEERS 2B Credit points: 12.0
Contact 39 lectures and 18 tutorials for Units 1,3, & 4. (AUyear) Objectives: (As for Units 1,3 and 4 Madiematics for Engineers 2A Content Unit 1 Sequences, Series & Matrices. Convergence and divergence of sequences and series, tests for convergence. Taylor's theorem and series representation of elementary functions.
Eigenvectors and eigenvalues, factorisation of matrices, diagonal,
real-symmetric, Hermitian, unitary and orthogonal matrices, quad- ratic forms, definiteness of matrices.
Unit 3 Vector Analysis. Gradient, divergence, and curl of a vector.
Line, surface, and volume integrals. Integral theorems. Tensor notation.
Unit 4 Transform Methods. Fourier series and transform. Simple expansions: sine, cosine and exponential series, least square errors. Introduction to Fourier Transforms, discrete Fourier transforms. Laplace Transforms. Operational calculus and apph- cations including the solution of linear differential equations.
Assessment: One 11/2 hour examination at the end of First Semester, covering Units 1. One 3 hour examination at the end of Second Semester, covering Units 3 and 4.
400-205 MATHEMATICS FOR ENGINEERS 2C Credit points: 8.0
Contact: 26 lectures and 12 tutorials for Units 3, & 4. (Second semester)
Objectives: As for Units 3 and 4 Mathematics for Engineers 2A Content: Unit 3 Vector Analysis. Gradient, divergence, and curl of a vector. Une, surface, and volume integrals. Integral theorems.
Tensor notation.
Unit 4 Transform Methods. Fourier series and transform. Simple expansions: sine, cosine and exponential series, least square errors. Introduction to Fourier Transforms, discrete Fourier transforms. Laplace Transforms. Operational calculus and apph- cations including the solution of linear differential equations.
Assessment: One 3 hour examination at the end of Second Semester.
400-206 MATHEMATICS FOR ENGINEERS 2D Credit points: 12.0
Contact: 39lecturesand 18 tutorials for Units 2A,3,&4. (Allyear) Objectives: At the end of the course students should know and have mastery of: Uni 12A - an appreciation of Laplace's equation and its uses; an abihty to transform irregula boundaries into simple boundaries and to solve Laplace's equation within the transformed region. Umts 3 and 4 as for Matiiematics for Engineers 2A.
Content: Unit2A Conformal Mapping. Cauchy-Riemann equa- tions, theory of conformal mapping, examples of conformal maps including Schwarz-Christoffel maps, equations invariant under conformal mapping.
Unit 3 Vector Analysis. Gradient, divergence, and curl of a vector.
Line, surface, and volume integrals. Integral theorems. Tensor notation.
Unit 4 Transform Methods. Fourier series and transform. Simple expansions: sine, cosine and exponential series, least square errors. Introduction to Fourier Transforms, discrete Fourier transforms. Laplace Transforms. Operational calculus and apph- cations including die solution of linear differential equations.
Assessment: One 11/2 hour examination at the end of First Semester, covering Units 2A. One 3 hour examination at the end of Second Semester, covering Units 3 and 4.
400-303 MATHEMATICS FOR ENGINEERS 3A Creditpoints: 12.0
Contact 39 lectures and 18 tutorials for Units 1,2, & 3. (Allyear) Objectives: At the conclusion of die course students should know and have mastery of: Unit 1 - the categorization of partial differential equations; an appreciation of the information contained in a differential equation in contrast to that contained in the boundary conditions; how to sohe first order quasi-linear equations; how to solvesecond order equatioas with constantcoefficients. Unit2 -the behaviour of solutions of differential equations near critical points;
the handling of sets of differential equations; the properties of independent and dependent solutions. Unit 3 - the properties of
The Unmrsify ofMelbourne Handbook 1994 Volume 4
vector spaces in general and the concepts of linear independence, basis sets dimensionality, R" and C; how to find inner products; how to find the matrix representation of a linear transformation; how to change the basis of a vector space, and apply it to rotation of co- ordinate axes; applications of numerical methods for sohing linear systems; applications of Laplace transformations to the solution of linear differential equations.
Content: Unit 1 Differential Equations 1. Partial differential equations. First and second order equations including Laplace's equation, the wave equation and the diffusion equation in various geometries. Separation of variables, method of characteristics, numerical methods.
Unit 2 Differential Equations 2. Sets of differential equations.
FJementary approach for linear differential equations with constant coefficients, solution of homogeneous systems, normal modes, stability, classification of the critical point for linear systems, solutions of forced systems by fundamental matrices, linear differ- ential equations with variable coefficients, independent solutions, Wronskians, numerical methods.
Unit3 Vector spaces in general, axioms, linear interdependence, basis sets, dimensionality, Rn and C. Inner products. Linear transformations, matrix of a linear transformation and rotation matrices, change of basis, rank, inverse, solution of linear equa- tions, numerical methods.
Transforms. Laplace Transforms. Operational calculus and appli- cations including the solution of linear differential equations.
Assessment One 3 hour examination at the end of First Semester, covering Units 1 & 2. One 11/2 hour examination at the end of Second Semester, covering Unit 3.
400-304 MATHEMATICS FOR ENGINEERS 3B Credit points: 8.0
Contact 26 lectures and 12 tutorials for Units 1, & 2. (First semester)
Objectives: As for Mathematics for Engineers 3A but excluding Unit 3.
Content: Unit 1. Partial differential equations. First and second order equations including Laplace's equation, the,wave equation and the diffusion equation in various geometries. Separation of variables, method of characteristics, numerical methods.
Unit 2. Sets of differential equatioas. Elementary approach for linear differential equations with coastant coefficients, solution of homogeneous systems, normal modes, stability, classification of the critical point for linear systems, solutions of forced systems by fundamental matrices, linear differential equations with variable coefficients, independent solutions, Wronskians, numerical methods.
Assessment One 3 hourexamination at the end of First Semester.
400-305 MATHEMATICS FOR ENGINEERS 3C Credit points: 4.0
Contact 13 lectures and 6 tutorials. (First semester)
Objectives: As for Mathematics for Engineers 3A but excluding Units 2 and 3.Content: Unit 1. Partial differential equations. First and second order equations including Laplace's equation, the wave equation and the diffusion equation in various geometries. Sepa- ration of variables, method of characteristics, numerical methods.
Assessment One 11/2 hour examination at the end of First Semester.
400-406 MATHEMATICS FOR ENGINEERS 4A Credit pouits: 8.0
Contact 26 lectures and 12 tutorials for Units 1 & 2. (First semester)
Objectives: At the end of this r^rsestudents should have masteryoE
Unit 1 - interchanging problems behveen variational form and differential form; Hamiltonian dynamics with applications to me- chanical systems; the properties of eigenvalue problems and an ability to sohe such problems numerically. Unit 2 - the ability to evaluate numerous difficult integrals; approximate methods for sohing integrals, valid in the limit of some parameters being small (or large); an appreciation of the importance of group velocity in determining the behaviour of a solution of a wave equation far from tlie source ofthe waves.
Content: Unit 1. Eider's equation, constraints, Storm-Uouville problems, Ritz method, numerical methods.
Unit 2. Series expansions, residues, contour integration. Asymp- totic methods, stationary phase, steepest descent, WKB theory.
Assessment: One 3 hour examination at the end of First Semester.
400-407 MATHEMATICS FOR ENGINEERS 4B Credit points: 8.0
Contact: 26 lectures and 12 tutorials for Units 3, & 4. (Second semester)
Objectives: At the end ofthe course students should have mastery of: Unit 3 - the main solution techniques for solving a variety of equation types not encountered in earlier courses; the basic behaviour and onset of chaos in systems. Unit 4 - the main methods of determining the optimum output from linear and non-linear systems.
Content: Unit 3- Delay equations, difference equations, integral equations of Fredholm and Volterra types, chaotic systems of equations.
Unit 4. Linear programming, non-linear programming, dynamic programming, networks.
Assessment: One 3 hour examination at the end of Second Semester.
421-212 PROJECT ENGINEERING 2 Credit points: 7.0
Contact 24 lecmres and six practice classes. (First semester) Objectives: At the conclusion of this course students should:
understand the fundamentals of engineering economics, appreci- ate the variety of engineering managerial organisational techniques and understand the capabilities, performance and operating tech- niques of a range of construction equipment.
Content Project evaluation and selection: introduction to engi- neering economic analysis. Engineering management principles;
pubhc and private sector; management organisations. Engineering constniction: coastruction practice, equipment techniques and apphcations.
Assessment: Two assignments set during the course and one two- hour examination at the end of the semester.
421-214 MECHANICS OF SOLIDS 1C Credit pouits: 15.0
Contact 24 lectures, 12 tutorials and 15 hours of laboratory work in first semester. 12 lectures, six tutorials and nine hours of laboratory work in second semester. (Allyear)
Objectives: At die conclusion of this course smdents should be able to analyse for the stress state in simple structural elements (such as beams, columns and shafts) for a variety of loading conditions and to also be able to determine the deformations that are produced by these loading conditions. The techniques of analysis so developed are necessary to the development of die design process for structural elements covered in later years ofthe course.
Content Mechanics of deformable sohds. Basic principles gov- erning the static behaviour of continua and of components of machines and structures. Stress and strain. Analysis of stress states.
114
Faculty of Engineering Civil and Environmental Engineering
Analysis of thin rings and cylinders. Flexural behaviour. Deflection analysis. Principles of superposition and reciprocity. Inelastic behaviour. Analysis of elements. Combined stresses. Compression members. Non-elastic action in beams, columns and shafts. Analy- sis of strain states. Experimental stress analysis and other experi- mental techniques. Deflection analysis for concentrated loads.
Flexural action. Deformation analysis. Analysis of determinate and indeterminate systems. Application to axial force systems.
Castigbano's method for flexural systems.
Assessment A 3-hour examination or equivalent (85 per cent);
practical work during the year (15 per cent).
Recommended Text EngineeringMechanics of Solids by Egor P. Popov, Si units, Prentice-Hall 1990.
421-230 FLUID FLOW AND ENVIRONMENTAL THERMODYNAMICS
Creditpoints: 11.0
Contact: 12 lectures, eight Uitorials and four hours of laboratory work in the Erst semester (Fluid Flow). 18 lecmres, eight tutorials and eight hours of laboratory work in the second semester (Heat Transfer). (Allyear)
Objecdves: By the end of the first semester the student should have: acquired an understanding of hydrostatics and basic fluid flow; developed skills in solving simple problems involving both fluids at rest and in motion. At the conclusion of the thermodynam- ics component the student should comprehend the principles of mass and heat transfer and appreciate their relevance to a range of environmental problems.
Content Fluid Flow Fluid mechanics. Basic definitions and fluid properties. Equilibrium of fluids. Kinematics. Continuity equation.
General energy equation for incompressible fluids. One-dimen- sional steady flow equation. Fluid dynamics of drag. Heat Transfer Properties of fluids. Thennodynamics. Conduction, compression and expansion. Convective heat transfer. Radiant heat transfer.
Mass diffusion.
Assessment: Fluid Flow A 2-hour examination at the end of semester 1(90%), assignments (\0%)Jieat Transfer A 2-hour end-of-year paper and laboratorywork.
421-250 ENVIRONMENTAL GEOMORPHOLOGY Credit pouits: 12.5
Contact: 36 lectures, 12 tutorials and 24 hours of practical w ork, including up to 12 hours of field work. (Secondsemester) Objectives: At the conclusion of this subject students will have an understanding of the major concepts and lechniques used in fluvial geomorphology, the evaluation and dynamics of land forms, geomorphological processes, the impact of land cover and human activity.
Content Evaluation and dynamics of land fonns; geomorphological processes; impact of land cover and human activity. Fluvial geomorphology: runoff processes; sediment and solute transport in rivers; developmentofriverchannelsand associated landforms;
Australian rivers.
Assessment A 3-hour examination, field and practical reports (totalling no more than 2000 words) and up to 3 assignments.
421-251 NATURAL RESOURCES ENGINEERING 1 Creditpoints: 9.5
Contact 24 lectures and serninars, 8 hours of project (essay) work and a full day excursion (8 hours). (First semester) Objectives: At the conclusion of this subject, students should:
• be able to describe the role of engineering in land and water development;
• be able to describe the nature of land and water degradation;
• have an appreciation of stream rehabibtation techniques and soil conservation practices.
In addition, they should have a background understanding of the structure, function and reproduction of living cells, tissues and organisms, and elementary plant physiology.
Content The role of engineering in land and water development;
historical, environmental and technical factors. Land and water degradation, including salinity and soil erosion; stream rehabilita- tion; soil conservation.
An introduction to structure, function and reproduction of living cells, tissues and organisms. Plant physiology.
Assessment Two essays, each of no more than 2000 words.
421-274 INTRODUCTION TO MICRO-COMPUTER APPLICATIONS
Creditpoints: 4.0
Contact 7 lectures, 12 tutorials and 12 hours of practice and problem sohing. (Firstsemester)
Objectives: At the conclusion of this subject students will have acquired basic skills in the use of micro-computers and their standard application packages including the use of the operating system.word processing and spreadsheet packages.
Content: Use of micro-computers and standard apphcation pack- ages, including the use of die operating system, word processing and spreadsheet packages.
Assessment 1-hour practical examination held in the Depart- ment and assignments equivalent of up to 3000 words.
421-275 ADVANCED MICRO-COMPUTER APPLICATIONS
Credit points: 4.0
Contact 12 lectures, 12 mtorials and 12 hours of practice and problem solving. (Secondsemester)
Objectives: At the conclusion of this subject smdents will have acquired the skills to effectively implement the standard engineer- ing packages relevant to dieir smdies in die undergraduate course.
Content: Use of standard engineering apphcation packages.
Assessment: 1-hour practical examination held in die Depart- ment and assignments equivalent of up to 3000 words.
421-310 STRUCTURAL THEORY AND DESIGN Credit points: 23.0
Contact: 43 lecmres, 21 tutorials and 30 hours of laboratory work in firstsemester. 42 lectures, 21 uitorialsand 25 hoursof laboratory work in second semester. (Allyear)
Objectives: At the conclusion ofthis course students should be able to analyse for the internal actions produced in simple truss and frame structures and the resultant deformations associated with a variety of loading states and to be able to design simple structural elements (such as slabs, beams, columns, ties and connections) in steel and reinforced concrete (as applicable) in accordance with the appropriate Standard codes of practice.
Content Elements of structural behaviour. Basic modes of struc- tural action. Analysis of statically determinate and indeterrninate strucmres. Strucmral mechanics, including stability and dynamics.
Bases of strucmral design in various materials and for various criteria Behaviour and design of strucmral connections and ele- ments.
Assessment A 3-hour and hvo 2-hour examinations, or equiva- lent, one of which may be held at the end of the first semester.
Practical work and tests during the year will be assessed as part of the examination.
421-320 FLUID MECHANICS AND APPLIED HYDRAULICS
Credit points: 16.0
Contact 24 lecmres, 12 mtorials and 12 hours of laboratory work in each semester. (Allyear)