Year No. Offer Mode Description Cred. Pts 00 64636 S2 X ADV ENGINEERING MATHS A 1.00
64001+64623
Engineers and practising mathematicians who are involved in model construction and analysis require a wide range of mathematical skills. Of fundamental importance to engineering and science, are the elements of stochastic processes, linear operators, time series analysis and forecasting, and the numerical solution of partial differential equations (including finite difference and finite element techniques).
This unit comprises five modules. Each student must complete modules, 1,2, and 4, and one of module 3 or module 5. The modules are as follows: 1. the numerical solution of partial differential equations; 2. stochastic process modelling; 3. linear operators and functional analysis; 4. time series analysis and forecasting; 5. advanced numerical methods (multigrid and finite element methods).
To develop an awareness of the way in which mathematics is
used to solve engineering problems. To gain a proficiency in
applying mathematics to engineering problems. The following
specific objectives relate to individual modules; students
should be able to:
Description Weighting(%)Students will study Topics 1, 2 and 4 and their own choice of one of Topics 3 and 5: Topic 3 has a lot to offer Civil and Mechanical Engineers; whereas Topic 5 supports the analysis typically needed in Mechatronics and Control.
- Numerical Partial Differential Equations 25.00 - finite difference operators and their stability - Laplace's equation - heat flow problems - the Poisson equation - boundary conditions - parabolic and hyperbolic systems - iterative methods - introduction to multigrids - applications
- Stochastic Processes 25.00 - discrete time Markov chains - the Poisson process - birth and death processes - Markov queues and applications
- Transforms, Linear Operators and Functional Analysis 25.00 - Fourier & Laplace transforms - estimation of signals - linear spaces & operators - orthogonal decomposition
- Time Series and Forecasting 25.00 - linear filters - nonstationary models (ARIMA) - model identification - Box Jenkins forecasting methods - z transforms - applications
- Advanced Numerical Methods 25.00 - multigrid methods for PDE's - finite element methods - weighted residuals
Box & Jenkins, 1994, Time Series Analysis Forecasting and Control,
3rd edn, Holden Day.
Greenberg, M.D., 1998, Advanced Engineering Mathematics, Prentice
Hall.
Jain, P.K., Ahuja, O.P. and Ahmed, K., 1995, Functional Analysis,
John Wiley & Sons.
Kreyszig, E. 1999, Advanced Engineering Mathematics, 8th edn, Wiley.
Makridakis, S., Wheelwright, S.C. , 1998, Forecasting, 3rd edn,
Wiley & Sons.
Mehdi, J., 1994, Stochastic Processes, John Wiley & Sons.
Naylor, A.W. & Sell, G.R. 1971, Linear Operator Theory in Engineering
and Science, Holt, Rinehart and Winston.
Oden, J.K. 1979, Applied Functional Analysis, Prentice Hall.
Papoulis, A. 1991, Probability, Random Variables and Stochastic
Processes, McGraw Hill.
Solomon, F., 1987, Probability & Stochastic Processes, Prentice
Hall.
Some electronic resources for this unit may be available via its home
page: http://www.sci.usq.edu.au/units/64636
ACTIVITY HOURS Private Study 140 Examinations 3 Assessments 25
No *F/S Marks Due Description Wtg(%) LBL WWW 1 S 18/08/00 ASSIGNMENT 1 10.00 Y N 2 S 25/08/00 ASSIGNMENT 2 10.00 Y N 3 S 20/10/00 ASSIGNMENT 3 10.00 Y N 4 S 27/10/00 ASSIGNMENT 4 10.00 Y N 5 S END S2 3 HOUR OPEN EXAMINATION 60.00 N N
1 To obtain a pass in the unit, students must perform
satisfactorily in all aspects of assessment. a. Students must: i
obtain an overall passing mark; ii perform satisfactorily in the
examination(s) (ie get at least close to the passing mark); iii
normally attain at least 50% in the assignments as a whole. b. If
a student obtains an overall passing mark, but does not perform
satisfactorily in an examination, the student may, at the
discretion of the examiner, be granted a supplementary
examination to attempt to increase the mark for that part before
being reconsidered for a pass in the unit. c. A student will
normally not be granted a deferred examination for an examination
unless he/she performs satisfactorily in any other examination(s)
and in the assignments. d. A final grade will be allocated as
follows: raw marks for the assessments will be summed with
weightings specified in the Assessment Details; performance
demonstrated in the examination will be reviewed with reference
to the unit's objectives and a scaling decided; the scaled marks
then determine the final grade.
2 The due date for assessments is the date by which a student must
despatch an assignment to the USQ. The onus is on the student to
provide proof of the despatch date, if requested by the Examiner.
3 Students must retain a copy of all assignments which must be
produced within ten days if and when required by the Examiner.
4 In accordance with University's Assignment Extension Policy
(Regulation 5.9), the examiner of a unit may grant an extension
of the due date of an assignment in extenuating circumstances.
This policy may be found in the USQ Handbook, the Distance
Education Study Guide and the Faculty of Sciences' Orientation
Handbook for new on-campus students. All students are advised to
study and follow the guidelines associated with this policy.
5 Open Examination: an open examination indicates that the
candidate may have access to any material during the examination
except the following: electronic communication devices, bulky
material, devices requiring mains power and material likely to
disturb other students.