Please note - Swinburne University of Technology
Please note - Swinburne University of Technology
Please note - Swinburne University of Technology
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Differential equations - revision <strong>of</strong> differential equations,<br />
Laplace transforms, solution <strong>of</strong> differential equations by<br />
Laplace transforms, solution <strong>of</strong> differential equations by<br />
series, applications.<br />
Textbook<br />
Smith, k1. htro Statisrim. Melbourne, Australia: Thomas Nelson, 1993<br />
References<br />
Hogg, R.V. and Ledolter, J. Engineering Statistics. New York:<br />
Macmillan. 1989<br />
Kr-ig. E. Advanced Engineering Mathematics. 7th ed, New York:<br />
Wiley, 1993<br />
Rade. L. and Westergren, 0. Beta Mathematics Handbook. 2nd ed,<br />
Lund: Studentlitteratur, 1990<br />
Ryan, B.F., Joiner, B.L. and Ryan. T.A. Minitab Handbook. 2nd ed,<br />
Boston: WE-Kent, 1992<br />
Strwd, K.A. Engineering Mathematics: Programmes and Problems.<br />
3rd ed. London: MacMillan, 1987<br />
Stroud, K.A. Further Engineering Mathematics. Programmes and<br />
Problems London: MacMillan, 1986<br />
Thomas. G.B. and Finney, R.L. Calculus and Analytc Geometfy 8th<br />
ed, Reading, Mass.: Addison Wesley. 1992<br />
SM393 Engineering Mathematics<br />
No. <strong>of</strong> hours per week: two hours<br />
Instruction: integrated instruction and practice<br />
A third-year subject in the degree <strong>of</strong> Bachelor <strong>of</strong> Engineering<br />
(Civil).<br />
Subject aims and description<br />
Numerical solution <strong>of</strong> linear and non linear algebraic<br />
equations, introduction to finite difference methods for<br />
ordinary and partial differential equations, applications.<br />
Fourier Series and partial differential equations.<br />
References<br />
Greenberg, M.D. fbundations <strong>of</strong> Applied Mathematio: Englewood<br />
Cliffs, N.J.: Prentice Hall, 1978<br />
Hausler, E.P. Lepack User's Guide and Sohvare. Version 2, Hwthorn:<br />
SIT, 1989<br />
Kreyszig, E. Advanced Engineering Mathematics. 7th ed, New York:<br />
Wiley, 1993<br />
Rade, 1. and Westergren, B. Bera Mathematics Handbook. 2nd ed,<br />
Lund: Studentlitteratur, 1990<br />
Smith, G.D. Numerical Solution <strong>of</strong> Partial Differential Equations: Finite<br />
Difference Methods. 3rd ed, Oxford: Clarendon, 1985<br />
SM394<br />
Engineering Mathematics<br />
No. <strong>of</strong> hours per week: three hours<br />
Prerequisites: SM299 Engineering Mathematics<br />
Instruction: lectures/tutorials<br />
Assessment: examination/tutorial assignments<br />
A third-year subject in the degree <strong>of</strong> Bachelor <strong>of</strong> Engineering<br />
(Engineering - undreamed).<br />
Subject aims<br />
This subject aims to provide the fundamental numerical<br />
techniques and the tools <strong>of</strong> discrete mathematics which are<br />
indispensable to the modern engineer.<br />
Subject description<br />
Numerical methods - numerical solution <strong>of</strong> linear and non<br />
linear algebraic equations, introduction to finite difference<br />
methods for ordinary and partial differential equations,<br />
applications.<br />
Z transforms - an introduction to the Z-transforms and its<br />
properties.<br />
Discrete mathematics - mathematical logic, counting<br />
methods, recurrence relations, applications.<br />
Prescribed eourre mataria1<br />
Hausler, €.I? lntroduction to Numerical Computing and Finite<br />
Difference Methods. 1990<br />
Rade, L. and Westergren. B. Beta Mathematics Handbook. 2nd ed.<br />
Lund: Studentlitteratur. 1990<br />
Steiner. J.M. and Clarke, G.T. Discrete Mathematics, 1991<br />
References<br />
Hausler, E.P. Lepack's User's Guide and Sohare. 1991, (optional)<br />
Knuth, O.E. me Art <strong>of</strong> Computer Programming. Volume 1, 2nd ed:<br />
Fundamental Algorithms, Addison-Wesley, 1991<br />
Skvarcius, R. and Robinson. W.B. Discrete Mathematics with Science<br />
Applications. Menlo Park, Calif.: BenjaminICummings, 1986<br />
Smith, G.D. Numerical Solution <strong>of</strong> Partial Differential Equations: Finite<br />
Difference Methods. 3rd ed, Oxford: Claredon Press, 1985<br />
Strum, R.D. and Kirk, D.E. First Principles <strong>of</strong> Discrete Systems and<br />
Digital Systems Processing. Addison-Wesley. 1989<br />
SM395 Engineering Mathematics<br />
No. <strong>of</strong> hours per week: three hours<br />
Instruction: integrated instruction and practice<br />
A third-year subject in the degree <strong>of</strong> Bachelor <strong>of</strong> Engineering<br />
(Manufacturing).<br />
Subject aims and description<br />
Fourier series and partial differential equations. Numerical<br />
solution <strong>of</strong> linear and non-linear algebraic equations.<br />
introduction to finite difference methods for ordinary and<br />
partial differential equations, applications.<br />
References<br />
Hauser, E.F Lepack User's Guide. Faculty <strong>of</strong> Applied Science, Version<br />
2, Hawthorn: SIT, 1989<br />
Kreyuig, E. Advanced Engineering Mathematiu: 7th ed, New York:<br />
Wiley, 1993<br />
Rade, L. and Westergren. B. Beta Mathematics Handbook. 2nd ed,<br />
Lund: Studentlitteratur, 1990<br />
Smith, G.D. Numerical Solution <strong>of</strong> Partial Differential Equations: Finite<br />
Difference Methods. 3rd ed. Oxford: Clarendon, 1985<br />
SM399 Engineering Mathematics<br />
No. <strong>of</strong> hours per week: three hours<br />
Instruction: integrated instruction and practice<br />
A third year subject in the degree <strong>of</strong> Bachelor <strong>of</strong><br />
Engineering (Mechanical).<br />
Subject aims and description<br />
Fourier series and partial differential equations. Numerical<br />
solutions <strong>of</strong> linear and non-linear algebraic equations. Finite<br />
difference method for ordinary and partial differential<br />
equations. Matrix calculus.<br />
References<br />
Bronson, R. Matrix Methods: An Introducti,on. 2nd ed, Boston, Mass.:<br />
Academic Press, 1991<br />
Hausler. E.F Lepack User's Guide and S<strong>of</strong>tware. Version 2, Hawthorn:<br />
SIT. 1989<br />
~r@zi~, E. Advanced Engineering Mathematics 7th ed, New York:<br />
Wiley, 1993<br />
Rade, L. and Westergren, B. Bera Mathematics Handbook. 2nd ed,<br />
Lund: Studentlitteratur. 1990<br />
Smith, G.D. Numerical Solution <strong>of</strong> Partial Differential Equations. 3rd<br />
ed, Oxford: Clarendon, 1985<br />
SM493 Engineering Mathematics<br />
No. <strong>of</strong> hours per week: two hours<br />
A subject in the fourth year <strong>of</strong> the degree <strong>of</strong> Bachelor <strong>of</strong><br />
Engineering (Civil).<br />
Subject aims and description<br />
lntroduction to finite element methods; a~oroximation. basis<br />
functions, quadrature, weighted residual h'ethods, ordinary<br />
and ~artial differential eauations. , -~<br />
~eferences<br />
Davies, A.J. The Finite Element Method: A Fimt Approach. Oxford:<br />
Oxford <strong>University</strong>, 1980<br />
Easton, A.K., Robb, FJ. and Singh, M. Apploximdtmn and the Finite<br />
Element Method. 1993<br />
Rade, L. and Westergren. 8. Beta Mathematics Handbook. 2nd ed,<br />
Lund: Studentlitteratur. 1990