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PURE MATHEMATICS PART II PASS COURSE

363. - GEOLOGY PART II

86. PURE MATHEMATICS PART II PASS COURSE

A course of three lectures per week, with practice classes throughout the year.

After the first tenu the course for day students may be divided into two alternative syllabuses, Option A being devoted to the further study of calculus, Option B to the more fundamental study of algebra and geometry. Only one of these options will be given if the support offering for the other or the staff available to conduct it is inadequate.

It is not necessary to signify which option will be desired until late in first term.

SYLLABUS

Complex Functions. Exponential and related functions of a complex variable.

Differential Equations. Standard types of ordinary differential equations of the first and second orders. Linear differential equations, including solution by series.

Integrals. Infinite and improper integrals. Reduction formulae. Curvilinear integrals.

Multiple integrals.

Functions of Several Variables. Simple matrices. Analytical solid geometry. Determi nnants.

Directional derivatives. Stationary points. Lagrange multiplier method. Change of variables. Polar co-ordinates. Surface integrals.

Series. Convergence. Absolute and conditional convergence. Power series. Taylor's theorem for functions of one variable. Approximate calculations with power series.

Introduction to set theory and group theory.

Option B. Topics will be chosen to replace the later work on differential equations.

functions of two variables, and series. In former years topics have been selected from:

euclidean geometry, non-euclidean geometry, elementary number theory, elementary theory of equations, theory of conics and orbits.

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Boons

(a) Preliminary reading:

At least two of the following:

Courant, R. and Robbins, H. E., What is Mathematics? (O.U.P.)

Reid, C., Introduction to Higher Mathematics. (Routledge & Regan Paul.) Sawyer, W. W., Prelude to Mathematics. (Pelican.)

Polya, G., How to Solve It. (Anchor.)

Pedoe, D., The Gentle Art of Mathematics. (Pelican.) (b) Prescribed text-books: One of the following.

Cooley, H. R., First Course in Calculus. (Wiley.)

Maxwell, E. A., Analytical Calculus, Vols. III and IV. (C.U.P.) Thomas, G. B., Calculus and Analytical Geometry. (Addison-Wesley.) Courant, R., Differential and Integral Calculus, vols. I and II.'(Blackie.) EXAMINATION

Two 3-hour papers.

638. PURE МАТI ЕМАТICS PART III (SURVEYING COURSE)

A course of two lectures per week and two practice classes per week throughout the year.

SYLLABUS

Differential geometry of curves and surfaces in space, with particular reference to the oblate spheroid and geodesy. Conformal mapping. Interpolation formulae. Curve fitting.

Theory of errors.

BOOKS

Recommended for reference:

Clarke, A. R., Geodesy. (O.U.P.)

Weatherburn, C. E., Differential Geometry. (C.U.P.)

Whittaker, E.

T.

and Robinson, G., Calculus of Observat ons. (Blackie.) EXAMINATION

Two 3-hour papers.

561. STATISTICS FOR ENGINEERS A course of 24 lectures and 24 hours' practice classes.

SYLLABUS

Chance variability and variability ascribable to assignable causes. The concepts of popula- tion and sample. Parameters and statistics; measures of location and dispersion. listo- grams and probability 'distributions. The standard theoretical distributions (normal, hypergeometric, binomial, Poisson). Distribution of means, confidence limits and tests of significance. Control charts for means, measures of dispersion, number and fraction defective. Sampling inspection procedures. The analysis of variance for hierarchic and cross classifications. Linear regression for one or more independent variables. Curvilinear regression. Goodness-of-fit tests. Contingency tables. Correlation. Experimental design using completely randomized block, latin-square designs. Factorial designs. Evolutionary operation.

PRACTICAL WORK

Illustrative arithmetical examples.

BOOKS

Recommended for reference:

Guttman, I, and Wilks, Ѕ. S., Introductory Engineering Statistics. (Wiley.)

Miller, I. and Freund, J. E., Probability and Statistics for Engineers. (Prentice-Hall.) Davies, 0. L., The Design and Analysis of Industrial Experiments. (Oliver & Boyd.) Hald, A» Statistical Theory with Engineering Applications. (Wiley.)

In addition, reference to other publications will be made in class.

EXAMINATION

One 3-hour paper. Before admission to the examination, candidates must have satisfactorily completed the practical work.

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666. STRENGTH OF MATERIALS PART

I

(Dr Schmidt)

A course of about зб lectures, with 48 hours laboratory and tutorial work throughout the year.

SYLLABUS

Elementary theory of elasticity. Elastic Constants. Non-elastic behaviour. Analysis of stress and strain. Principal stresses and strains. Mohr's stress circle. Thin rings and cylinders.

Bending of beams. Elastic and non-elastic behaviour. ` Principal axes. Shear stresses.

Unsymmetrical and eccentric loading. Deformation under flexure and shear. Composite beams. Combined bending and axial forces. Buckling of columns.

Torsion of circular shafts. Combined torsion and bending. Close coiled helical springs.

Principles of Superposition, Reciprocity, Strain Energy. Castigliano's First Theorem. Intro- duction to statically determinate and indeterminate problems in frames and beams.

Books

(a) Recommended for preliminary readiп

Timoshenko, S., History of Strength of Materials, Chs. I-VII. (McGraw-Hill.) (b) Prescribed text-book:

*Timoshenko, S., Strength of Materials, Vol.. a. (Van Nostrand.) (c) Recommended for reference:

Timoshenko, S., Strength of Materials, Vol. 2. (Van Nostrand.)

Salmon, E. H., Materials and Structures, Vol. t : The Elasticity and Strength of Materials.

(Longmans.)

Case, J. and Chilver, A. H., Strength of Materials. (Arnold.) EXAMINATION

One ;-hour paper for Pass and Honours.

Practical work done during the year will be considered in assessing a candidate's standard.

565. STRUCTURAL THEORY AND DESIGN

(Professor Francis, Dr Stevens, Mr Wood, Dr Clyde, Mr Dow)

A course of about 6g lectures and 80 hours' drawing office and laboratory work through•

out the year for Civil Engineering students.

SYLLABUS

Elements of structural behaviour. Basic modes of structural action. Analysis of statically determinate and indeterminate structures. Structural mechanics, including stability.

Bases of structural design in various materials and for different criteria. Behaviour and design of structural connections and elements.

A short course in the writing of English is included in this subject.

DRAWING OFFICE AND PRACTICAL WORK

Students are required to prepare and submit during the year assignments based on the lecture course. Work submitted will be assessed as part of the Annual Examination.

BOOKS

(a) Prescribed text-books:

*Timoshenko, S. and Young, D. H., Theory of Structures. (and ed., McGraw-Hill.)

*Bгeslег, B. and Lin, T. Y., Design of Steel Structures. (Wiley.)

*Ferguson, P. M., Reinforced Concrete Fundamentals. (Wiley.) or

Cowan, H. J. and Smith, P. R., Design of Reinforced Concrete. (Angus & Robertson.) (b) Recommended for reference:

Matheson, J. A. L. and Francis, A. J., Hyperstatic Structures, Vols. I. and II. (Butter- worth.)

Tall, L., Beedle, L. S. and Galambos, T. V., Structural Steel Design: (Ronald.) Faupel, J. H., Engineering Design. (Wiley.)

Gaylord, E. H. and Gaylord, C. N., Design of Steel Structures. (McGraw-Hill.) Norris, C. H. and Wilbur, J. B., Elementary Structural Analysis. (McGraw-Hill.) Priest, H. M., The Practical Design of Welded Steel Structures. (Amer. Welding Soc.) Pearson, R. G., kloot, N. H. and Boyd, J. D., Timber Engineering Design Handbook.

(C.S.I.R.O. and M.U.P.)

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EXAMINATION

Two 3-hour papers for Pass and Honours combined. The results of practical work done during the year will be assessed as part of the examination.

563. SURVEYING PART I

A course of two lectures and three hours' practical work per week throughout the year.

SYLLABUS

History and development of surveying and of the instruments used. Nature, causes and classes of errors of measurement. Theory, construction adjustment, care and use of—the steel band, optical square, Abney clinometer, magnetic compass, plane table, dumpy level, theodolite, and sextant.

Recording of field notes. Line ranging. Surveying with steel band. Reduction of bearings.

Traversing with magnetic compass. Traversing with theodolite. Calculation of traverse closures by method of latitudes and departures; methods of adjustment of traverse misclosure. Plane table surveying.

Theory of the spirit level; differential levelling; reduction of levels. Contour surveying and plotting; practical applications of contour plans. Calculation of areas by double meridian distances; areas with irregular boundaries. Calculation of volumes of earthwork and other materials. Setting out of plain circular curves. Elementary tacheometry. Barometric levelling. Use of surveying instruments in the workshop. General survey computation.

Plotting from field notes, and preparation of plans.

PRACTICAL WORK

Field and oflke work relating to the above.

Students are required to provide themselves with the following: Field book of a recom- mended type; 1z oz. plumb-bob; rectangular protractor, б in. x z in.; boxwood scale, zo/4o; 5 fig. tables of logarithms of numbers and natural and logarithmic trigonometrical functions of angles tabulated for every minute of arc; or Chambers' 7 Fig. Mathematical Tables (the latter tables will be required later by students proceeding to Surveying Part II).

SURVEY CAMP See page i3o.

Books

(a) Prescribed text-book:

(i) For students not proceeding to Surveying Part II:

*Kissam, P., Surveying: Instruments and Methods. (McGraw-Hill.) (z) For students proceeding to Surveying Part II:

*Clark, D., Plane and Geodetic Surveying For Engineers, Vol. I. (5th ed., Constable, 1964.) (b) Recommended for reference:

Davis, R. E. and Foote, F. S., Surveying Theory and Practice. (McGraw-Hill.) Johnson, J. B. and Smith, L. S., Theory and Practice of Surveying. (John Wiley.) Breed, C. B. and Hosmer, G. L., Principles and Practice of Surveying. (John Wiley.) Rubey, H., Lommel, G. E. and Todd, M. W., Engineering Surveys. (Macmillan.) Thomas, W. N., Surveying. (Edward Arnold.)

Taylor, E. W., Theodolite Design and Construction. (Cooke, Troughton & Simms.) Mason, R. G., Notes for Survey Chainmen. (Vic. S.R. & W.S. Comm.)

EXAMINATION

One 3 hour paper for Pass and Honours. There will be no formal practical examination;

the practical work performed during the year will be assessed as part of the Annual Examination. However, any candidate may be required to submit to a practical test and to resubmit field notes and assignments of work performed during the course.

563-1. SURVEYING (AGRICULTURAL ENGINEERING) A course of one lecture a week and two hours of practical work per fortnight in field.

surveying.

SYLLABUS

Introduction to the use of the conventional surveying instruments.

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PRACTICAL WORK

Field exercises in the use of the instruments, traversing, levelling and appropriate com- putations.

PRESCRIBED TEXT-BOOK

Kissam, P., Surveying. Instruments and Methods. (McGraw-Hill.) EXAMINATION

One 3-hour paper for Pass only; the practical work performed during the year will be assessed as part of the Annual Examination. However, any candidate may be required to submit to a practical test and to re-submit field notes and assignments of work per- formed during the course.

639. SURVEYING PØT II

A course of three lectures per week and six hours' practical work per week throughout the year plus ten 1-hour seminars and z laboratory classes on Electronic Instrumentation.

SYLLABUS

More advanced plane table surveying. Field methods of topographical surveying. Require- melts and field work of surveys for roads, railways, water supply, irrigation.

Theory and setting out of compound curves, transition curves, and vertical curves. Setting out of railway tracks. Underground surveying, special instruments and methods used, solution of problems in mining surveying. Alignment and setting out of tunnels.

Measuring up and calculation of quantities in earthwork and other engineering materials.

Hydrographic surveying in river and ocean, stream and tide gauging, sounding apparatus.

Precise levelling with special equipment. Trigonometrical levelling. Introduction to theory of map projections for a spherical earth.

Spherical astronomy. Conventional methods of determining latitude, azimuth and time.

Convergence of meridians.

Elementary theory of errors, application to survey observations.

Electronic Instrumentation (in the Department of Electrical Engineering), with particular reference to measurement of time, distance and direction.

PRACTICAL WORK

The equivalent of six hours per week devoted to field astronomy and other field and office work.

SURVEY CAMP

Before commencing on the course in Surveying Part II, students are required to attend a University Survey Camp of three weeks' duration and to spend two weeks under supervision in the Drawing Office of the Engineering School plotting field notes, or obtain similar experience, to the satisfaction of the lecturer, under an approved civil engineer.

or surveyor, or geologist.

BOOKS

(a) Prescribed text-books:

*Clark, D., Plane and Geodetic Surveying for Engineers, Vol. II. (5th ed., Constable, t963.)

`Mackie, J. B., Astronomy for Surveyors. (6th ed., Griffin, rg64.)

•Star Almanac for Land Surveyors. (Н.М. Stationary Olice.) (b) Recommended for reference:

links, A. R., Map Projections. (C.U.P.) Durham, E. B., Mine Surveying. (McGraw-Hí11.)

Text Book of Field Astronomy, 1958. (Her Majesty's Stationery Office.) Higgins, A. L., Higher Surveying. (Macmillan.)

EXAMINATION

Two 3-hour papers for Pass and Honours.

There will be no formal practical examination; the practical work performed during the year will be assessed as part of the Annual Examination. However, any candidate may be asked to submit to a practical test and to resubmit field notes and assignments of work performed during the course.

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569. SURVEYING PART II (MINING COURSE)

A course of about 15 lectures and about ai hours' practical work during First and Second Terms, comprising parts of the Syllabus, lectures and practical classes conducted in Surveying Part II.

SYLLABUS

Underground surveying including theory, construction and use of special instructions, transference of position and azimuth, solution of problems in strike and dip and of intersections of ore bodies by workings, measuring up and computing quantities, alignment and setting-out of tunnels.

More advanced plane-table surveying; field methods of topographical surveying; funda- mentals of methods of surveying for roads, railways and water supplies; railway points and crossings.

BOOKS

(a) Prescribed text-book:

*Clark, D., Plane and Geodetic Surveying for Engineers, Vol. I (5th ed., Constable, 1964.) (b) Recommended for reference:

Durham, E. B., line Surveying. (McGraw-Hill.) EXAMINATION

One a-hour paper for Pass.

There will be no formal practical examination; the practical work performed during the year will be assessed as part of the Annual Examination. However, any candidate may be required to submit to a practical test and to resubmit field notes and assignments of work performed during the course.

643. SURVEYING PART III

A course of three lectures per week and six hours' practical work per week throughout the year.

SYLLABUS

Astronomy. More precise astronomical observations for latitude, longitude and azimuth.

Geodetic Triangulation. Reconnaissance surveys for triangulation, and marking of triangula- tion stations. Apparatus, methods and routine for base-line measurements. Field work of geodetic triangulation, trilateration and traversing; methods and routine of observing and booking. Adjustment of observations by the theory of least squares. Solution of spheroidal triangles. Latitude, longitude and reverse azimuth.

Map Projections. Theories of the common map projections of the spheroid. Grid co-ordinates.

Transformation Lom geographical to grid co-ordinates and vice versa. Problems in the use of grid co-ordinates by the surveyor.

Topographical Surveys. Methods of topographical surveying for mapping; precise traverses and their adjustment; precise levelling and adjustment of level nets.

Students will be expected also to attend the lectures in : 570. Civil Engineering, Section 4 on Highway and Airport Engineering.

PRACTICAL WORK.

The equivalent of six hours per week devoted to field and oflice work, tutorial classes and excursions.

BOOKS

(a) Prescribed text-books:

*Clark, D., Plane and Geodetic Surveying for Engineers, Vol. II. (5th ed„ Constable, 196;.)

*Roelofs, R., Astronomy Applied to Land Surveying. (ist ed N. V. Wed. J. Ahrend &

Zoon, 195o.)

(b) Recommended for reference:

Other books will be referred to in lectures from time to time.

EXAMINATION

Two 3-hour papers for Pass and Honours. There will be no formal practical examination;

the practical

work

performed during the year will be assessed as part of the Annual Examination. However, any candidate may be asked to submit to a practical test and to resubmit field notes and assignments of work performed during the course.

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571. TOWN PLANNING (CIVIL ENGINEERING AND SURVEYING) A course of about зо lectures throughout the year.

SYLLABUS

An outline of the history of town planning in antiquity, the Middle Ages, the Renais- sance, and the 19th century leading to a study of the background of current problems.

An examination of the basic principles of modern town and regional planning, the design of towns, standards of land-use provision, the design of residential areas.

Statutory Planning practice in Victoria with reference to comparable activities in other States.

BOOkS

(a) Prescribed text-books:

Hiorns, F. R» Town Building in History. (Harrap, London, 1956.) Brown, A. J. and Sherrard, H. M., Town and Country Planning. (M.U.P.)

Keeble, L. B., Principles and Practice of Town and Country Planning. (3rd ed., Estates Gazette, London, 1964.)

(b) Recommended for reference:

Haverheld, F., Ancient Town Planning. (Clarendon Press, 1913.)

Ashworth, W., The Genesis of Modern British Town Planning. (Routledge and Regan Paul.)

Unwin, R., Town Planning in Practice. (London, 1gog.)

Lanchester, H. V., Art of Town Planning. (Chapman and Hall, 1932.) Hackett, B., Man, Society and Environment. (P. Marshall, 1955.)

Ledgar, F. W., Town and Country Planning in Victoria. (Melbourne University Law Review, Vol. II, 1g6o.)

Buchanan, C., Traffic in Towns. (Penguin.) EXAMINATION

One 3-hour paper.

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