(Mr. Ryan)
A course of two lectures and two practice classes weekly throughout the year.
For part of the year, three lectures a week may be given, but attendance at only two of these will be required.
* The approval of the head of the relevant engineering department must be obtained before
this subject cam be taken. .
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PRELIMINARY READING. At the beginning of the year some knowledge will be required of at least two of
Bell, E. T.-The Development of Mathematics. (McGraw-Hill.)
Klein, F. Elementary. Mathematics-Arithmetic, Algebra, Analysis. (Dover.) Klein, F.—Elementary Mathematics—Geometry. (Dover.)
Cohen, M. R., and Nagel, E.—An Introduction to Logic and Scientific Method.
(Harcourt Brace.)
Smith, D.
E. —A
Source Book in Mathematics. (McGraw-Hill.) Newman, J. R.—The World of Mathematics. (Simon and Schuster.) or another of the books listed for preliminary reading for previous years.SYLLAius. (i) Vector Spaces. Vectors and tensors. N dimensional vector spaces. Linear operators. Eigenvectors. Orthogonal expansions. Function spaces.
(1) Advanced Calculus. Double limit operations. Differentiation and integra- tion. Generalized functions. Non-linear differential equations.
(iii) Functions of a Complex Variable. Further conformal transformations.
Contour integration. Transform calculus. Stability of linear systems.
(iv) Calculus of Variations. Euler's equations. Hamilton's Principle. La- grange's equations. Castigliano's Principle. Rayleigh's Principle.
(v) Integral Equations. Solution of linear integral equations. Iterative methods.
Conversion of differential equations.
(vi) Linear Programming.
(vii) Extension of treatment of a selection of topics prescribed for Engineer- ing Mathematics Part III.
Dooms. (a) Prescribed text-books :
Hildebrand, F. B. Methods of Applied Mathematics. (Prentice-Hall.) Smith, L. P. Mathematical Methods for Scientists and Engineers. (Prentice-
Hall.)
Courant, R., and Hilbert, D. Methods of Mathematical Physics, Vol. L (Interscience.)
Morse, P. M., and Feshbach, Н. Methodц of Theoretical Physics. (McGraw- Hill.)
Osgood, W. F. Advanced Calculus. (Macmillan.)
Beckenbach, E. F. Modern Mathematics for the Engineer. (McGraw-Hill.) Lighthill, M. J. Fourier Analysis and Generalized Functions. (Chapman and
Hall.)
Friedmann, B.—Principles and Techniques of Applied Mathematics. (Chap- man and Hall.)
Sokolnikoff, I. S.—Tensor Analysis. (Wiley.)
Gibbs, W. J.—Tensors in Electrical Machine Theory. (Chapman and Hall.) Stoker, J. J.—Non-Linear Vibrations. (Interscience.)
Vajda, S.—The Theory of Games and Linear Programming. (Methuen.) Saaty, T. L.—Mathematical Methods of Operations Research. (McGraw-Hill.) See also books listed for Engineering Mathematics Part III.
ЕхAmINATIOН. Two 3-hour papers for Pass and Honours. The work done in - practice classes will also carry sonic weight.
ENGINEERING - PRACTICES
.A course of about 30 lectures with practical classes of up to two hours' duration weekly, for Electrical Engineering students.
SYLLABUS.
(i) Selected topics in the fields of Industrial Relations, Accounting, Economics and Law.
(ii) Regulations governing electrical installations. Specifications. Tenders and Contracts.
(iii) English Expression.
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Booкs. Electrical Engineering students.
(a) Prescribed textbook:
Australian Standard C.B. 16-1957—General Conditions of Tendering and Coп- tract for the Supply or Supply and Erection of Plant and Machinery. (Stan- dards Association of Australia.)
(b) Recommended for reference:
State Electricity Commission of Victoria.—Wiring Regulations.
Yorston, R. K., and Fortescue, E. E. Australian Mercantile Law. (Law Book Co.)
Abbett, R. W. Engineering Contracts and Specifications. (Wiley.) ЕxАМТNАТЮx. One 3-hour paper
FLUID MECHANICS A (Dr. Lawson, Mr. Joubert and Mr. Sharp) • (a) Introductory Fluid Mechanics
- A course of two lectures per week in the first part of the year (approximately 30 lectures total), together with practical and tutorial work.
SYLLAВUs. The subject will deal with the basic principles and behaviour of fluids at rest and in motion and will include: statics, kinematics and dynamics of fluids; incompressible flow in closed conduits ; compressible flow; flow around immersed bodies ; fluid machinery; flow measurement; dynamical similarity.
РхлстtсАL Woaк. Tutorial classes and laboratory work, totalling about 36, hours, relating to the above course.
Boors. (a) Prescribed text-book:
*Huпsáker,
J.
C., and Rightmire, B. G. Engineering Applications of Fluid Mechanics. (McGraw-Hill.)(b) Recommended for reference:
Rouse, H., and Howe, J. W. Basic Mechanics of Fluids. (Wiley.) , Dougherty, R. L., and Ingersoll, A. C.—Fluid Mechanics. (5th ed., McGraw-
Hill.)
Addison,. H.—А Treatise on Applied Hydraulics. (Chapman and Hall.) Prandtl, L.—The Essentials of Fluid Dynamics. (Blackie.)
Schuhmann, R. Metallurgical Engineering, Vol. 1.. (Addison-Wesley Press,
• 1952.)
Barna, P. S.—Fluid Mechanics for Engineers. (Butterworth.) . (b) Applications in Hydraulic Engineering
A course of two lectures per week following syllabus (a) (approximately 20 lectures total), together with practical and tutorial work.
SУuditms. • Flow of liquids over weirs and in channels ; flow of liquids in pipe systems ; operation characteristics of hydraulic machinery; elaboration of some aspects of syllabus (a).
РRлСТiCА . Wonu. Tutorial. classes . and laboratory work, totalling about 24 hours, relating to the above course.
Booкs. (a) Prescribed text-book:
*Streeter, V. L.—Fluid Mechanics. (McGraw-Hill.) (b) Recommended for reference : . As for syllabus (a).
EXAMINATION. Two 3-hour papers for Pass and Honours. A test examination will be held at the end of the work of syllabus (a). Students passing this examina- tion may be exempted from the first paper. There will be no practical examination, but the second written paper may include questions on the practical work. The practical and tutorial work will be assessed in deciding the examination results.
Candidates may be required to resubmit their practical books before the examination.
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FLUID MECHANICS
B (Dr. Lawson, Mr. Joubert and Mr. Sharp)As for Fluid Mechanics A syllabus (a) together with lectures only of syllabus (b).
EXAMINATION. Two 3-hour papers for Pass standard only. A test examination will be held at the end of the work of syllabus (a). Students passing this examina- tion may be exempted from the first paper. There will be no practical examination, but the second written paper may include questions on the practical work.. The practical work will be assessed in deciding the examination results. Candidates may be required to resubmit their practical books before the examination.