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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

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